[
  {
    "id": "outcome-careful-outcome-full-000",
    "english": "Shared definition supplied once for this stateless question: x is mean-outcome(D) asserts that x equals the probability-weighted arithmetic mean under D. x is likeliest-outcome(D) asserts that x has the highest aggregated outcome mass under D, with ties allowed. These definitions also govern the corresponding English phrases. They do not guarantee a trial result or certify the model. Fictional toy output model D421, version v3 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive, exact rational masses, not rounded observations: value 0 units with mass 1/2; value 6 units with mass 1/2. Add masses of paths with the same value. Mean is the probability-weighted arithmetic mean; most probable compares aggregated value masses and allows ties. Here x = 3 units. No claim that the model is correct or guarantees a trial is supplied. Statement: Under D421, the probability-weighted mean is 3 units.",
    "ainglish": "Shared definition supplied once for this stateless question: x is mean-outcome(D) asserts that x equals the probability-weighted arithmetic mean under D. x is likeliest-outcome(D) asserts that x has the highest aggregated outcome mass under D, with ties allowed. These definitions also govern the corresponding English phrases. They do not guarantee a trial result or certify the model. Fictional toy output model D421, version v3 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive, exact rational masses, not rounded observations: value 0 units with mass 1/2; value 6 units with mass 1/2. Add masses of paths with the same value. Mean is the probability-weighted arithmetic mean; most probable compares aggregated value masses and allows ties. Here x = 3 units. No claim that the model is correct or guarantees a trial is supplied. Statement: 3 units is mean-outcome(D421).",
    "question": "Evaluate the claim, whether x can actually occur, whether x alone is most probable, and whether the next result is guaranteed to equal x.",
    "options": [
      "Claim true: yes; x possible: no; x unique most probable: no; next result guaranteed x: no.",
      "Claim true: yes; x possible: yes; x unique most probable: yes; next result guaranteed x: yes.",
      "Claim true: yes; x possible: yes; x unique most probable: yes; next result guaranteed x: no.",
      "Claim true: yes; x possible: yes; x unique most probable: no; next result guaranteed x: yes.",
      "Claim true: yes; x possible: yes; x unique most probable: no; next result guaranteed x: no.",
      "Claim true: yes; x possible: no; x unique most probable: yes; next result guaranteed x: yes.",
      "Claim true: yes; x possible: no; x unique most probable: yes; next result guaranteed x: no.",
      "Claim true: yes; x possible: no; x unique most probable: no; next result guaranteed x: yes.",
      "Claim true: no; x possible: yes; x unique most probable: yes; next result guaranteed x: yes.",
      "Claim true: no; x possible: yes; x unique most probable: yes; next result guaranteed x: no.",
      "Claim true: no; x possible: yes; x unique most probable: no; next result guaranteed x: yes.",
      "Claim true: no; x possible: yes; x unique most probable: no; next result guaranteed x: no.",
      "Claim true: no; x possible: no; x unique most probable: yes; next result guaranteed x: yes.",
      "Claim true: no; x possible: no; x unique most probable: yes; next result guaranteed x: no.",
      "Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: yes.",
      "Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: no."
    ],
    "answer": "Claim true: yes; x possible: no; x unique most probable: no; next result guaranteed x: no.",
    "settlement_stratum": "mean-outcome",
    "domain": "toy output",
    "boundary": "mean-outside",
    "variant": 0,
    "oracle": {
      "mean": "3",
      "modes": [
        "0",
        "6"
      ],
      "value": "3",
      "flags": [
        true,
        false,
        false,
        false
      ],
      "masses": {
        "0": "1/2",
        "6": "1/2"
      }
    }
  },
  {
    "id": "outcome-careful-outcome-full-001",
    "english": "Shared definition supplied once for this stateless question: x is mean-outcome(D) asserts that x equals the probability-weighted arithmetic mean under D. x is likeliest-outcome(D) asserts that x has the highest aggregated outcome mass under D, with ties allowed. These definitions also govern the corresponding English phrases. They do not guarantee a trial result or certify the model. Fictional toy output model D422, version v3 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive, exact rational masses, not rounded observations: value 1 units with mass 1/2; value 7 units with mass 1/2. Add masses of paths with the same value. Mean is the probability-weighted arithmetic mean; most probable compares aggregated value masses and allows ties. Here x = 5 units. No claim that the model is correct or guarantees a trial is supplied. Statement: Under D422, the probability-weighted mean is 5 units.",
    "ainglish": "Shared definition supplied once for this stateless question: x is mean-outcome(D) asserts that x equals the probability-weighted arithmetic mean under D. x is likeliest-outcome(D) asserts that x has the highest aggregated outcome mass under D, with ties allowed. These definitions also govern the corresponding English phrases. They do not guarantee a trial result or certify the model. Fictional toy output model D422, version v3 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive, exact rational masses, not rounded observations: value 1 units with mass 1/2; value 7 units with mass 1/2. Add masses of paths with the same value. Mean is the probability-weighted arithmetic mean; most probable compares aggregated value masses and allows ties. Here x = 5 units. No claim that the model is correct or guarantees a trial is supplied. Statement: 5 units is mean-outcome(D422).",
    "question": "Evaluate the claim, whether x can actually occur, whether x alone is most probable, and whether the next result is guaranteed to equal x.",
    "options": [
      "Claim true: yes; x possible: yes; x unique most probable: yes; next result guaranteed x: yes.",
      "Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: no.",
      "Claim true: yes; x possible: yes; x unique most probable: yes; next result guaranteed x: no.",
      "Claim true: yes; x possible: yes; x unique most probable: no; next result guaranteed x: yes.",
      "Claim true: yes; x possible: yes; x unique most probable: no; next result guaranteed x: no.",
      "Claim true: yes; x possible: no; x unique most probable: yes; next result guaranteed x: yes.",
      "Claim true: yes; x possible: no; x unique most probable: yes; next result guaranteed x: no.",
      "Claim true: yes; x possible: no; x unique most probable: no; next result guaranteed x: yes.",
      "Claim true: yes; x possible: no; x unique most probable: no; next result guaranteed x: no.",
      "Claim true: no; x possible: yes; x unique most probable: yes; next result guaranteed x: yes.",
      "Claim true: no; x possible: yes; x unique most probable: yes; next result guaranteed x: no.",
      "Claim true: no; x possible: yes; x unique most probable: no; next result guaranteed x: yes.",
      "Claim true: no; x possible: yes; x unique most probable: no; next result guaranteed x: no.",
      "Claim true: no; x possible: no; x unique most probable: yes; next result guaranteed x: yes.",
      "Claim true: no; x possible: no; x unique most probable: yes; next result guaranteed x: no.",
      "Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: yes."
    ],
    "answer": "Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: no.",
    "settlement_stratum": "mean-outcome",
    "domain": "toy output",
    "boundary": "mean-outside",
    "variant": 1,
    "oracle": {
      "mean": "4",
      "modes": [
        "1",
        "7"
      ],
      "value": "5",
      "flags": [
        false,
        false,
        false,
        false
      ],
      "masses": {
        "1": "1/2",
        "7": "1/2"
      }
    }
  },
  {
    "id": "outcome-careful-outcome-full-002",
    "english": "Shared definition supplied once for this stateless question: x is mean-outcome(D) asserts that x equals the probability-weighted arithmetic mean under D. x is likeliest-outcome(D) asserts that x has the highest aggregated outcome mass under D, with ties allowed. These definitions also govern the corresponding English phrases. They do not guarantee a trial result or certify the model. Fictional toy output model D423, version v3 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive, exact rational masses, not rounded observations: value 2 units with mass 1/2; value 8 units with mass 1/2. Add masses of paths with the same value. Mean is the probability-weighted arithmetic mean; most probable compares aggregated value masses and allows ties. Here x = 5 units. No claim that the model is correct or guarantees a trial is supplied. Statement: Under D423, the probability-weighted mean is 5 units.",
    "ainglish": "Shared definition supplied once for this stateless question: x is mean-outcome(D) asserts that x equals the probability-weighted arithmetic mean under D. x is likeliest-outcome(D) asserts that x has the highest aggregated outcome mass under D, with ties allowed. These definitions also govern the corresponding English phrases. They do not guarantee a trial result or certify the model. Fictional toy output model D423, version v3 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive, exact rational masses, not rounded observations: value 2 units with mass 1/2; value 8 units with mass 1/2. Add masses of paths with the same value. Mean is the probability-weighted arithmetic mean; most probable compares aggregated value masses and allows ties. Here x = 5 units. No claim that the model is correct or guarantees a trial is supplied. Statement: 5 units is mean-outcome(D423).",
    "question": "Evaluate the claim, whether x can actually occur, whether x alone is most probable, and whether the next result is guaranteed to equal x.",
    "options": [
      "Claim true: yes; x possible: yes; x unique most probable: yes; next result guaranteed x: yes.",
      "Claim true: yes; x possible: yes; x unique most probable: yes; next result guaranteed x: no.",
      "Claim true: yes; x possible: no; x unique most probable: no; next result guaranteed x: no.",
      "Claim true: yes; x possible: yes; x unique most probable: no; next result guaranteed x: yes.",
      "Claim true: yes; x possible: yes; x unique most probable: no; next result guaranteed x: no.",
      "Claim true: yes; x possible: no; x unique most probable: yes; next result guaranteed x: yes.",
      "Claim true: yes; x possible: no; x unique most probable: yes; next result guaranteed x: no.",
      "Claim true: yes; x possible: no; x unique most probable: no; next result guaranteed x: yes.",
      "Claim true: no; x possible: yes; x unique most probable: yes; next result guaranteed x: yes.",
      "Claim true: no; x possible: yes; x unique most probable: yes; next result guaranteed x: no.",
      "Claim true: no; x possible: yes; x unique most probable: no; next result guaranteed x: yes.",
      "Claim true: no; x possible: yes; x unique most probable: no; next result guaranteed x: no.",
      "Claim true: no; x possible: no; x unique most probable: yes; next result guaranteed x: yes.",
      "Claim true: no; x possible: no; x unique most probable: yes; next result guaranteed x: no.",
      "Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: yes.",
      "Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: no."
    ],
    "answer": "Claim true: yes; x possible: no; x unique most probable: no; next result guaranteed x: no.",
    "settlement_stratum": "mean-outcome",
    "domain": "toy output",
    "boundary": "mean-outside",
    "variant": 2,
    "oracle": {
      "mean": "5",
      "modes": [
        "2",
        "8"
      ],
      "value": "5",
      "flags": [
        true,
        false,
        false,
        false
      ],
      "masses": {
        "2": "1/2",
        "8": "1/2"
      }
    }
  },
  {
    "id": "outcome-careful-outcome-full-003",
    "english": "Shared definition supplied once for this stateless question: x is mean-outcome(D) asserts that x equals the probability-weighted arithmetic mean under D. x is likeliest-outcome(D) asserts that x has the highest aggregated outcome mass under D, with ties allowed. These definitions also govern the corresponding English phrases. They do not guarantee a trial result or certify the model. Fictional toy output model D424, version v3 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive, exact rational masses, not rounded observations: value 3 units with mass 1/2; value 9 units with mass 1/2. Add masses of paths with the same value. Mean is the probability-weighted arithmetic mean; most probable compares aggregated value masses and allows ties. Here x = 7 units. No claim that the model is correct or guarantees a trial is supplied. Statement: Under D424, the probability-weighted mean is 7 units.",
    "ainglish": "Shared definition supplied once for this stateless question: x is mean-outcome(D) asserts that x equals the probability-weighted arithmetic mean under D. x is likeliest-outcome(D) asserts that x has the highest aggregated outcome mass under D, with ties allowed. These definitions also govern the corresponding English phrases. They do not guarantee a trial result or certify the model. Fictional toy output model D424, version v3 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive, exact rational masses, not rounded observations: value 3 units with mass 1/2; value 9 units with mass 1/2. Add masses of paths with the same value. Mean is the probability-weighted arithmetic mean; most probable compares aggregated value masses and allows ties. Here x = 7 units. No claim that the model is correct or guarantees a trial is supplied. Statement: 7 units is mean-outcome(D424).",
    "question": "Evaluate the claim, whether x can actually occur, whether x alone is most probable, and whether the next result is guaranteed to equal x.",
    "options": [
      "Claim true: yes; x possible: yes; x unique most probable: yes; next result guaranteed x: yes.",
      "Claim true: yes; x possible: yes; x unique most probable: yes; next result guaranteed x: no.",
      "Claim true: yes; x possible: yes; x unique most probable: no; next result guaranteed x: yes.",
      "Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: no.",
      "Claim true: yes; x possible: yes; x unique most probable: no; next result guaranteed x: no.",
      "Claim true: yes; x possible: no; x unique most probable: yes; next result guaranteed x: yes.",
      "Claim true: yes; x possible: no; x unique most probable: yes; next result guaranteed x: no.",
      "Claim true: yes; x possible: no; x unique most probable: no; next result guaranteed x: yes.",
      "Claim true: yes; x possible: no; x unique most probable: no; next result guaranteed x: no.",
      "Claim true: no; x possible: yes; x unique most probable: yes; next result guaranteed x: yes.",
      "Claim true: no; x possible: yes; x unique most probable: yes; next result guaranteed x: no.",
      "Claim true: no; x possible: yes; x unique most probable: no; next result guaranteed x: yes.",
      "Claim true: no; x possible: yes; x unique most probable: no; next result guaranteed x: no.",
      "Claim true: no; x possible: no; x unique most probable: yes; next result guaranteed x: yes.",
      "Claim true: no; x possible: no; x unique most probable: yes; next result guaranteed x: no.",
      "Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: yes."
    ],
    "answer": "Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: no.",
    "settlement_stratum": "mean-outcome",
    "domain": "toy output",
    "boundary": "mean-outside",
    "variant": 3,
    "oracle": {
      "mean": "6",
      "modes": [
        "3",
        "9"
      ],
      "value": "7",
      "flags": [
        false,
        false,
        false,
        false
      ],
      "masses": {
        "3": "1/2",
        "9": "1/2"
      }
    }
  },
  {
    "id": "outcome-careful-outcome-full-004",
    "english": "Shared definition supplied once for this stateless question: x is mean-outcome(D) asserts that x equals the probability-weighted arithmetic mean under D. x is likeliest-outcome(D) asserts that x has the highest aggregated outcome mass under D, with ties allowed. These definitions also govern the corresponding English phrases. They do not guarantee a trial result or certify the model. Fictional toy output model D425, version v3 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive, exact rational masses, not rounded observations: value 0 units with mass 2/5; value 2 units with mass 3/10; value 5 units with mass 3/10. Add masses of paths with the same value. Mean is the probability-weighted arithmetic mean; most probable compares aggregated value masses and allows ties. Here x = 21/10 units. No claim that the model is correct or guarantees a trial is supplied. Statement: Under D425, the probability-weighted mean is 21/10 units.",
    "ainglish": "Shared definition supplied once for this stateless question: x is mean-outcome(D) asserts that x equals the probability-weighted arithmetic mean under D. x is likeliest-outcome(D) asserts that x has the highest aggregated outcome mass under D, with ties allowed. These definitions also govern the corresponding English phrases. They do not guarantee a trial result or certify the model. Fictional toy output model D425, version v3 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive, exact rational masses, not rounded observations: value 0 units with mass 2/5; value 2 units with mass 3/10; value 5 units with mass 3/10. Add masses of paths with the same value. Mean is the probability-weighted arithmetic mean; most probable compares aggregated value masses and allows ties. Here x = 21/10 units. No claim that the model is correct or guarantees a trial is supplied. Statement: 21/10 units is mean-outcome(D425).",
    "question": "Evaluate the claim, whether x can actually occur, whether x alone is most probable, and whether the next result is guaranteed to equal x.",
    "options": [
      "Claim true: yes; x possible: yes; x unique most probable: yes; next result guaranteed x: yes.",
      "Claim true: yes; x possible: yes; x unique most probable: yes; next result guaranteed x: no.",
      "Claim true: yes; x possible: yes; x unique most probable: no; next result guaranteed x: yes.",
      "Claim true: yes; x possible: yes; x unique most probable: no; next result guaranteed x: no.",
      "Claim true: yes; x possible: no; x unique most probable: no; next result guaranteed x: no.",
      "Claim true: yes; x possible: no; x unique most probable: yes; next result guaranteed x: yes.",
      "Claim true: yes; x possible: no; x unique most probable: yes; next result guaranteed x: no.",
      "Claim true: yes; x possible: no; x unique most probable: no; next result guaranteed x: yes.",
      "Claim true: no; x possible: yes; x unique most probable: yes; next result guaranteed x: yes.",
      "Claim true: no; x possible: yes; x unique most probable: yes; next result guaranteed x: no.",
      "Claim true: no; x possible: yes; x unique most probable: no; next result guaranteed x: yes.",
      "Claim true: no; x possible: yes; x unique most probable: no; next result guaranteed x: no.",
      "Claim true: no; x possible: no; x unique most probable: yes; next result guaranteed x: yes.",
      "Claim true: no; x possible: no; x unique most probable: yes; next result guaranteed x: no.",
      "Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: yes.",
      "Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: no."
    ],
    "answer": "Claim true: yes; x possible: no; x unique most probable: no; next result guaranteed x: no.",
    "settlement_stratum": "mean-outcome",
    "domain": "toy output",
    "boundary": "mode-below-half",
    "variant": 0,
    "oracle": {
      "mean": "21/10",
      "modes": [
        "0"
      ],
      "value": "21/10",
      "flags": [
        true,
        false,
        false,
        false
      ],
      "masses": {
        "0": "2/5",
        "2": "3/10",
        "5": "3/10"
      }
    }
  },
  {
    "id": "outcome-careful-outcome-full-005",
    "english": "Shared definition supplied once for this stateless question: x is mean-outcome(D) asserts that x equals the probability-weighted arithmetic mean under D. x is likeliest-outcome(D) asserts that x has the highest aggregated outcome mass under D, with ties allowed. These definitions also govern the corresponding English phrases. They do not guarantee a trial result or certify the model. Fictional toy output model D426, version v3 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive, exact rational masses, not rounded observations: value 1 units with mass 2/5; value 3 units with mass 3/10; value 6 units with mass 3/10. Add masses of paths with the same value. Mean is the probability-weighted arithmetic mean; most probable compares aggregated value masses and allows ties. Here x = 41/10 units. No claim that the model is correct or guarantees a trial is supplied. Statement: Under D426, the probability-weighted mean is 41/10 units.",
    "ainglish": "Shared definition supplied once for this stateless question: x is mean-outcome(D) asserts that x equals the probability-weighted arithmetic mean under D. x is likeliest-outcome(D) asserts that x has the highest aggregated outcome mass under D, with ties allowed. These definitions also govern the corresponding English phrases. They do not guarantee a trial result or certify the model. Fictional toy output model D426, version v3 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive, exact rational masses, not rounded observations: value 1 units with mass 2/5; value 3 units with mass 3/10; value 6 units with mass 3/10. Add masses of paths with the same value. Mean is the probability-weighted arithmetic mean; most probable compares aggregated value masses and allows ties. Here x = 41/10 units. No claim that the model is correct or guarantees a trial is supplied. Statement: 41/10 units is mean-outcome(D426).",
    "question": "Evaluate the claim, whether x can actually occur, whether x alone is most probable, and whether the next result is guaranteed to equal x.",
    "options": [
      "Claim true: yes; x possible: yes; x unique most probable: yes; next result guaranteed x: yes.",
      "Claim true: yes; x possible: yes; x unique most probable: yes; next result guaranteed x: no.",
      "Claim true: yes; x possible: yes; x unique most probable: no; next result guaranteed x: yes.",
      "Claim true: yes; x possible: yes; x unique most probable: no; next result guaranteed x: no.",
      "Claim true: yes; x possible: no; x unique most probable: yes; next result guaranteed x: yes.",
      "Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: no.",
      "Claim true: yes; x possible: no; x unique most probable: yes; next result guaranteed x: no.",
      "Claim true: yes; x possible: no; x unique most probable: no; next result guaranteed x: yes.",
      "Claim true: yes; x possible: no; x unique most probable: no; next result guaranteed x: no.",
      "Claim true: no; x possible: yes; x unique most probable: yes; next result guaranteed x: yes.",
      "Claim true: no; x possible: yes; x unique most probable: yes; next result guaranteed x: no.",
      "Claim true: no; x possible: yes; x unique most probable: no; next result guaranteed x: yes.",
      "Claim true: no; x possible: yes; x unique most probable: no; next result guaranteed x: no.",
      "Claim true: no; x possible: no; x unique most probable: yes; next result guaranteed x: yes.",
      "Claim true: no; x possible: no; x unique most probable: yes; next result guaranteed x: no.",
      "Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: yes."
    ],
    "answer": "Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: no.",
    "settlement_stratum": "mean-outcome",
    "domain": "toy output",
    "boundary": "mode-below-half",
    "variant": 1,
    "oracle": {
      "mean": "31/10",
      "modes": [
        "1"
      ],
      "value": "41/10",
      "flags": [
        false,
        false,
        false,
        false
      ],
      "masses": {
        "1": "2/5",
        "3": "3/10",
        "6": "3/10"
      }
    }
  },
  {
    "id": "outcome-careful-outcome-full-006",
    "english": "Shared definition supplied once for this stateless question: x is mean-outcome(D) asserts that x equals the probability-weighted arithmetic mean under D. x is likeliest-outcome(D) asserts that x has the highest aggregated outcome mass under D, with ties allowed. These definitions also govern the corresponding English phrases. They do not guarantee a trial result or certify the model. Fictional toy output model D427, version v3 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive, exact rational masses, not rounded observations: value 2 units with mass 2/5; value 4 units with mass 3/10; value 7 units with mass 3/10. Add masses of paths with the same value. Mean is the probability-weighted arithmetic mean; most probable compares aggregated value masses and allows ties. Here x = 41/10 units. No claim that the model is correct or guarantees a trial is supplied. Statement: Under D427, the probability-weighted mean is 41/10 units.",
    "ainglish": "Shared definition supplied once for this stateless question: x is mean-outcome(D) asserts that x equals the probability-weighted arithmetic mean under D. x is likeliest-outcome(D) asserts that x has the highest aggregated outcome mass under D, with ties allowed. These definitions also govern the corresponding English phrases. They do not guarantee a trial result or certify the model. Fictional toy output model D427, version v3 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive, exact rational masses, not rounded observations: value 2 units with mass 2/5; value 4 units with mass 3/10; value 7 units with mass 3/10. Add masses of paths with the same value. Mean is the probability-weighted arithmetic mean; most probable compares aggregated value masses and allows ties. Here x = 41/10 units. No claim that the model is correct or guarantees a trial is supplied. Statement: 41/10 units is mean-outcome(D427).",
    "question": "Evaluate the claim, whether x can actually occur, whether x alone is most probable, and whether the next result is guaranteed to equal x.",
    "options": [
      "Claim true: yes; x possible: yes; x unique most probable: yes; next result guaranteed x: yes.",
      "Claim true: yes; x possible: yes; x unique most probable: yes; next result guaranteed x: no.",
      "Claim true: yes; x possible: yes; x unique most probable: no; next result guaranteed x: yes.",
      "Claim true: yes; x possible: yes; x unique most probable: no; next result guaranteed x: no.",
      "Claim true: yes; x possible: no; x unique most probable: yes; next result guaranteed x: yes.",
      "Claim true: yes; x possible: no; x unique most probable: yes; next result guaranteed x: no.",
      "Claim true: yes; x possible: no; x unique most probable: no; next result guaranteed x: no.",
      "Claim true: yes; x possible: no; x unique most probable: no; next result guaranteed x: yes.",
      "Claim true: no; x possible: yes; x unique most probable: yes; next result guaranteed x: yes.",
      "Claim true: no; x possible: yes; x unique most probable: yes; next result guaranteed x: no.",
      "Claim true: no; x possible: yes; x unique most probable: no; next result guaranteed x: yes.",
      "Claim true: no; x possible: yes; x unique most probable: no; next result guaranteed x: no.",
      "Claim true: no; x possible: no; x unique most probable: yes; next result guaranteed x: yes.",
      "Claim true: no; x possible: no; x unique most probable: yes; next result guaranteed x: no.",
      "Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: yes.",
      "Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: no."
    ],
    "answer": "Claim true: yes; x possible: no; x unique most probable: no; next result guaranteed x: no.",
    "settlement_stratum": "mean-outcome",
    "domain": "toy output",
    "boundary": "mode-below-half",
    "variant": 2,
    "oracle": {
      "mean": "41/10",
      "modes": [
        "2"
      ],
      "value": "41/10",
      "flags": [
        true,
        false,
        false,
        false
      ],
      "masses": {
        "2": "2/5",
        "4": "3/10",
        "7": "3/10"
      }
    }
  },
  {
    "id": "outcome-careful-outcome-full-007",
    "english": "Shared definition supplied once for this stateless question: x is mean-outcome(D) asserts that x equals the probability-weighted arithmetic mean under D. x is likeliest-outcome(D) asserts that x has the highest aggregated outcome mass under D, with ties allowed. These definitions also govern the corresponding English phrases. They do not guarantee a trial result or certify the model. Fictional toy output model D428, version v3 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive, exact rational masses, not rounded observations: value 3 units with mass 2/5; value 5 units with mass 3/10; value 8 units with mass 3/10. Add masses of paths with the same value. Mean is the probability-weighted arithmetic mean; most probable compares aggregated value masses and allows ties. Here x = 61/10 units. No claim that the model is correct or guarantees a trial is supplied. Statement: Under D428, the probability-weighted mean is 61/10 units.",
    "ainglish": "Shared definition supplied once for this stateless question: x is mean-outcome(D) asserts that x equals the probability-weighted arithmetic mean under D. x is likeliest-outcome(D) asserts that x has the highest aggregated outcome mass under D, with ties allowed. These definitions also govern the corresponding English phrases. They do not guarantee a trial result or certify the model. Fictional toy output model D428, version v3 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive, exact rational masses, not rounded observations: value 3 units with mass 2/5; value 5 units with mass 3/10; value 8 units with mass 3/10. Add masses of paths with the same value. Mean is the probability-weighted arithmetic mean; most probable compares aggregated value masses and allows ties. Here x = 61/10 units. No claim that the model is correct or guarantees a trial is supplied. Statement: 61/10 units is mean-outcome(D428).",
    "question": "Evaluate the claim, whether x can actually occur, whether x alone is most probable, and whether the next result is guaranteed to equal x.",
    "options": [
      "Claim true: yes; x possible: yes; x unique most probable: yes; next result guaranteed x: yes.",
      "Claim true: yes; x possible: yes; x unique most probable: yes; next result guaranteed x: no.",
      "Claim true: yes; x possible: yes; x unique most probable: no; next result guaranteed x: yes.",
      "Claim true: yes; x possible: yes; x unique most probable: no; next result guaranteed x: no.",
      "Claim true: yes; x possible: no; x unique most probable: yes; next result guaranteed x: yes.",
      "Claim true: yes; x possible: no; x unique most probable: yes; next result guaranteed x: no.",
      "Claim true: yes; x possible: no; x unique most probable: no; next result guaranteed x: yes.",
      "Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: no.",
      "Claim true: yes; x possible: no; x unique most probable: no; next result guaranteed x: no.",
      "Claim true: no; x possible: yes; x unique most probable: yes; next result guaranteed x: yes.",
      "Claim true: no; x possible: yes; x unique most probable: yes; next result guaranteed x: no.",
      "Claim true: no; x possible: yes; x unique most probable: no; next result guaranteed x: yes.",
      "Claim true: no; x possible: yes; x unique most probable: no; next result guaranteed x: no.",
      "Claim true: no; x possible: no; x unique most probable: yes; next result guaranteed x: yes.",
      "Claim true: no; x possible: no; x unique most probable: yes; next result guaranteed x: no.",
      "Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: yes."
    ],
    "answer": "Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: no.",
    "settlement_stratum": "mean-outcome",
    "domain": "toy output",
    "boundary": "mode-below-half",
    "variant": 3,
    "oracle": {
      "mean": "51/10",
      "modes": [
        "3"
      ],
      "value": "61/10",
      "flags": [
        false,
        false,
        false,
        false
      ],
      "masses": {
        "3": "2/5",
        "5": "3/10",
        "8": "3/10"
      }
    }
  },
  {
    "id": "outcome-careful-outcome-full-008",
    "english": "Shared definition supplied once for this stateless question: x is mean-outcome(D) asserts that x equals the probability-weighted arithmetic mean under D. x is likeliest-outcome(D) asserts that x has the highest aggregated outcome mass under D, with ties allowed. These definitions also govern the corresponding English phrases. They do not guarantee a trial result or certify the model. Fictional toy output model D429, version v3 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive, exact rational masses, not rounded observations: value 1 units with mass 2/5; value 3 units with mass 2/5; value 7 units with mass 1/5. Add masses of paths with the same value. Mean is the probability-weighted arithmetic mean; most probable compares aggregated value masses and allows ties. Here x = 3 units. No claim that the model is correct or guarantees a trial is supplied. Statement: Under D429, the probability-weighted mean is 3 units.",
    "ainglish": "Shared definition supplied once for this stateless question: x is mean-outcome(D) asserts that x equals the probability-weighted arithmetic mean under D. x is likeliest-outcome(D) asserts that x has the highest aggregated outcome mass under D, with ties allowed. These definitions also govern the corresponding English phrases. They do not guarantee a trial result or certify the model. Fictional toy output model D429, version v3 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive, exact rational masses, not rounded observations: value 1 units with mass 2/5; value 3 units with mass 2/5; value 7 units with mass 1/5. Add masses of paths with the same value. Mean is the probability-weighted arithmetic mean; most probable compares aggregated value masses and allows ties. Here x = 3 units. No claim that the model is correct or guarantees a trial is supplied. Statement: 3 units is mean-outcome(D429).",
    "question": "Evaluate the claim, whether x can actually occur, whether x alone is most probable, and whether the next result is guaranteed to equal x.",
    "options": [
      "Claim true: yes; x possible: yes; x unique most probable: yes; next result guaranteed x: yes.",
      "Claim true: yes; x possible: yes; x unique most probable: yes; next result guaranteed x: no.",
      "Claim true: yes; x possible: yes; x unique most probable: no; next result guaranteed x: yes.",
      "Claim true: yes; x possible: no; x unique most probable: yes; next result guaranteed x: yes.",
      "Claim true: yes; x possible: no; x unique most probable: yes; next result guaranteed x: no.",
      "Claim true: yes; x possible: no; x unique most probable: no; next result guaranteed x: yes.",
      "Claim true: yes; x possible: no; x unique most probable: no; next result guaranteed x: no.",
      "Claim true: no; x possible: yes; x unique most probable: yes; next result guaranteed x: yes.",
      "Claim true: yes; x possible: yes; x unique most probable: no; next result guaranteed x: no.",
      "Claim true: no; x possible: yes; x unique most probable: yes; next result guaranteed x: no.",
      "Claim true: no; x possible: yes; x unique most probable: no; next result guaranteed x: yes.",
      "Claim true: no; x possible: yes; x unique most probable: no; next result guaranteed x: no.",
      "Claim true: no; x possible: no; x unique most probable: yes; next result guaranteed x: yes.",
      "Claim true: no; x possible: no; x unique most probable: yes; next result guaranteed x: no.",
      "Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: yes.",
      "Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: no."
    ],
    "answer": "Claim true: yes; x possible: yes; x unique most probable: no; next result guaranteed x: no.",
    "settlement_stratum": "mean-outcome",
    "domain": "toy output",
    "boundary": "tied-modes",
    "variant": 0,
    "oracle": {
      "mean": "3",
      "modes": [
        "1",
        "3"
      ],
      "value": "3",
      "flags": [
        true,
        true,
        false,
        false
      ],
      "masses": {
        "1": "2/5",
        "3": "2/5",
        "7": "1/5"
      }
    }
  },
  {
    "id": "outcome-careful-outcome-full-009",
    "english": "Shared definition supplied once for this stateless question: x is mean-outcome(D) asserts that x equals the probability-weighted arithmetic mean under D. x is likeliest-outcome(D) asserts that x has the highest aggregated outcome mass under D, with ties allowed. These definitions also govern the corresponding English phrases. They do not guarantee a trial result or certify the model. Fictional toy output model D430, version v3 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive, exact rational masses, not rounded observations: value 2 units with mass 2/5; value 4 units with mass 2/5; value 8 units with mass 1/5. Add masses of paths with the same value. Mean is the probability-weighted arithmetic mean; most probable compares aggregated value masses and allows ties. Here x = 5 units. No claim that the model is correct or guarantees a trial is supplied. Statement: Under D430, the probability-weighted mean is 5 units.",
    "ainglish": "Shared definition supplied once for this stateless question: x is mean-outcome(D) asserts that x equals the probability-weighted arithmetic mean under D. x is likeliest-outcome(D) asserts that x has the highest aggregated outcome mass under D, with ties allowed. These definitions also govern the corresponding English phrases. They do not guarantee a trial result or certify the model. Fictional toy output model D430, version v3 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive, exact rational masses, not rounded observations: value 2 units with mass 2/5; value 4 units with mass 2/5; value 8 units with mass 1/5. Add masses of paths with the same value. Mean is the probability-weighted arithmetic mean; most probable compares aggregated value masses and allows ties. Here x = 5 units. No claim that the model is correct or guarantees a trial is supplied. Statement: 5 units is mean-outcome(D430).",
    "question": "Evaluate the claim, whether x can actually occur, whether x alone is most probable, and whether the next result is guaranteed to equal x.",
    "options": [
      "Claim true: yes; x possible: yes; x unique most probable: yes; next result guaranteed x: yes.",
      "Claim true: yes; x possible: yes; x unique most probable: yes; next result guaranteed x: no.",
      "Claim true: yes; x possible: yes; x unique most probable: no; next result guaranteed x: yes.",
      "Claim true: yes; x possible: yes; x unique most probable: no; next result guaranteed x: no.",
      "Claim true: yes; x possible: no; x unique most probable: yes; next result guaranteed x: yes.",
      "Claim true: yes; x possible: no; x unique most probable: yes; next result guaranteed x: no.",
      "Claim true: yes; x possible: no; x unique most probable: no; next result guaranteed x: yes.",
      "Claim true: yes; x possible: no; x unique most probable: no; next result guaranteed x: no.",
      "Claim true: no; x possible: yes; x unique most probable: yes; next result guaranteed x: yes.",
      "Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: no.",
      "Claim true: no; x possible: yes; x unique most probable: yes; next result guaranteed x: no.",
      "Claim true: no; x possible: yes; x unique most probable: no; next result guaranteed x: yes.",
      "Claim true: no; x possible: yes; x unique most probable: no; next result guaranteed x: no.",
      "Claim true: no; x possible: no; x unique most probable: yes; next result guaranteed x: yes.",
      "Claim true: no; x possible: no; x unique most probable: yes; next result guaranteed x: no.",
      "Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: yes."
    ],
    "answer": "Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: no.",
    "settlement_stratum": "mean-outcome",
    "domain": "toy output",
    "boundary": "tied-modes",
    "variant": 1,
    "oracle": {
      "mean": "4",
      "modes": [
        "2",
        "4"
      ],
      "value": "5",
      "flags": [
        false,
        false,
        false,
        false
      ],
      "masses": {
        "2": "2/5",
        "4": "2/5",
        "8": "1/5"
      }
    }
  },
  {
    "id": "outcome-careful-outcome-full-010",
    "english": "Shared definition supplied once for this stateless question: x is mean-outcome(D) asserts that x equals the probability-weighted arithmetic mean under D. x is likeliest-outcome(D) asserts that x has the highest aggregated outcome mass under D, with ties allowed. These definitions also govern the corresponding English phrases. They do not guarantee a trial result or certify the model. Fictional toy output model D431, version v3 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive, exact rational masses, not rounded observations: value 3 units with mass 2/5; value 5 units with mass 2/5; value 9 units with mass 1/5. Add masses of paths with the same value. Mean is the probability-weighted arithmetic mean; most probable compares aggregated value masses and allows ties. Here x = 5 units. No claim that the model is correct or guarantees a trial is supplied. Statement: Under D431, the probability-weighted mean is 5 units.",
    "ainglish": "Shared definition supplied once for this stateless question: x is mean-outcome(D) asserts that x equals the probability-weighted arithmetic mean under D. x is likeliest-outcome(D) asserts that x has the highest aggregated outcome mass under D, with ties allowed. These definitions also govern the corresponding English phrases. They do not guarantee a trial result or certify the model. Fictional toy output model D431, version v3 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive, exact rational masses, not rounded observations: value 3 units with mass 2/5; value 5 units with mass 2/5; value 9 units with mass 1/5. Add masses of paths with the same value. Mean is the probability-weighted arithmetic mean; most probable compares aggregated value masses and allows ties. Here x = 5 units. No claim that the model is correct or guarantees a trial is supplied. Statement: 5 units is mean-outcome(D431).",
    "question": "Evaluate the claim, whether x can actually occur, whether x alone is most probable, and whether the next result is guaranteed to equal x.",
    "options": [
      "Claim true: yes; x possible: yes; x unique most probable: yes; next result guaranteed x: yes.",
      "Claim true: yes; x possible: yes; x unique most probable: yes; next result guaranteed x: no.",
      "Claim true: yes; x possible: yes; x unique most probable: no; next result guaranteed x: yes.",
      "Claim true: yes; x possible: no; x unique most probable: yes; next result guaranteed x: yes.",
      "Claim true: yes; x possible: no; x unique most probable: yes; next result guaranteed x: no.",
      "Claim true: yes; x possible: no; x unique most probable: no; next result guaranteed x: yes.",
      "Claim true: yes; x possible: no; x unique most probable: no; next result guaranteed x: no.",
      "Claim true: no; x possible: yes; x unique most probable: yes; next result guaranteed x: yes.",
      "Claim true: no; x possible: yes; x unique most probable: yes; next result guaranteed x: no.",
      "Claim true: no; x possible: yes; x unique most probable: no; next result guaranteed x: yes.",
      "Claim true: yes; x possible: yes; x unique most probable: no; next result guaranteed x: no.",
      "Claim true: no; x possible: yes; x unique most probable: no; next result guaranteed x: no.",
      "Claim true: no; x possible: no; x unique most probable: yes; next result guaranteed x: yes.",
      "Claim true: no; x possible: no; x unique most probable: yes; next result guaranteed x: no.",
      "Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: yes.",
      "Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: no."
    ],
    "answer": "Claim true: yes; x possible: yes; x unique most probable: no; next result guaranteed x: no.",
    "settlement_stratum": "mean-outcome",
    "domain": "toy output",
    "boundary": "tied-modes",
    "variant": 2,
    "oracle": {
      "mean": "5",
      "modes": [
        "3",
        "5"
      ],
      "value": "5",
      "flags": [
        true,
        true,
        false,
        false
      ],
      "masses": {
        "3": "2/5",
        "5": "2/5",
        "9": "1/5"
      }
    }
  },
  {
    "id": "outcome-careful-outcome-full-011",
    "english": "Shared definition supplied once for this stateless question: x is mean-outcome(D) asserts that x equals the probability-weighted arithmetic mean under D. x is likeliest-outcome(D) asserts that x has the highest aggregated outcome mass under D, with ties allowed. These definitions also govern the corresponding English phrases. They do not guarantee a trial result or certify the model. Fictional toy output model D432, version v3 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive, exact rational masses, not rounded observations: value 4 units with mass 2/5; value 6 units with mass 2/5; value 10 units with mass 1/5. Add masses of paths with the same value. Mean is the probability-weighted arithmetic mean; most probable compares aggregated value masses and allows ties. Here x = 7 units. No claim that the model is correct or guarantees a trial is supplied. Statement: Under D432, the probability-weighted mean is 7 units.",
    "ainglish": "Shared definition supplied once for this stateless question: x is mean-outcome(D) asserts that x equals the probability-weighted arithmetic mean under D. x is likeliest-outcome(D) asserts that x has the highest aggregated outcome mass under D, with ties allowed. These definitions also govern the corresponding English phrases. They do not guarantee a trial result or certify the model. Fictional toy output model D432, version v3 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive, exact rational masses, not rounded observations: value 4 units with mass 2/5; value 6 units with mass 2/5; value 10 units with mass 1/5. Add masses of paths with the same value. Mean is the probability-weighted arithmetic mean; most probable compares aggregated value masses and allows ties. Here x = 7 units. No claim that the model is correct or guarantees a trial is supplied. Statement: 7 units is mean-outcome(D432).",
    "question": "Evaluate the claim, whether x can actually occur, whether x alone is most probable, and whether the next result is guaranteed to equal x.",
    "options": [
      "Claim true: yes; x possible: yes; x unique most probable: yes; next result guaranteed x: yes.",
      "Claim true: yes; x possible: yes; x unique most probable: yes; next result guaranteed x: no.",
      "Claim true: yes; x possible: yes; x unique most probable: no; next result guaranteed x: yes.",
      "Claim true: yes; x possible: yes; x unique most probable: no; next result guaranteed x: no.",
      "Claim true: yes; x possible: no; x unique most probable: yes; next result guaranteed x: yes.",
      "Claim true: yes; x possible: no; x unique most probable: yes; next result guaranteed x: no.",
      "Claim true: yes; x possible: no; x unique most probable: no; next result guaranteed x: yes.",
      "Claim true: yes; x possible: no; x unique most probable: no; next result guaranteed x: no.",
      "Claim true: no; x possible: yes; x unique most probable: yes; next result guaranteed x: yes.",
      "Claim true: no; x possible: yes; x unique most probable: yes; next result guaranteed x: no.",
      "Claim true: no; x possible: yes; x unique most probable: no; next result guaranteed x: yes.",
      "Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: no.",
      "Claim true: no; x possible: yes; x unique most probable: no; next result guaranteed x: no.",
      "Claim true: no; x possible: no; x unique most probable: yes; next result guaranteed x: yes.",
      "Claim true: no; x possible: no; x unique most probable: yes; next result guaranteed x: no.",
      "Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: yes."
    ],
    "answer": "Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: no.",
    "settlement_stratum": "mean-outcome",
    "domain": "toy output",
    "boundary": "tied-modes",
    "variant": 3,
    "oracle": {
      "mean": "6",
      "modes": [
        "4",
        "6"
      ],
      "value": "7",
      "flags": [
        false,
        false,
        false,
        false
      ],
      "masses": {
        "4": "2/5",
        "6": "2/5",
        "10": "1/5"
      }
    }
  },
  {
    "id": "outcome-careful-outcome-full-012",
    "english": "Shared definition supplied once for this stateless question: x is mean-outcome(D) asserts that x equals the probability-weighted arithmetic mean under D. x is likeliest-outcome(D) asserts that x has the highest aggregated outcome mass under D, with ties allowed. These definitions also govern the corresponding English phrases. They do not guarantee a trial result or certify the model. Fictional toy output model D433, version v3 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive, exact rational masses, not rounded observations: value 0 units with mass 1/4; value 2 units with mass 1/2; value 4 units with mass 1/4. Add masses of paths with the same value. Mean is the probability-weighted arithmetic mean; most probable compares aggregated value masses and allows ties. Here x = 2 units. No claim that the model is correct or guarantees a trial is supplied. Statement: Under D433, the probability-weighted mean is 2 units.",
    "ainglish": "Shared definition supplied once for this stateless question: x is mean-outcome(D) asserts that x equals the probability-weighted arithmetic mean under D. x is likeliest-outcome(D) asserts that x has the highest aggregated outcome mass under D, with ties allowed. These definitions also govern the corresponding English phrases. They do not guarantee a trial result or certify the model. Fictional toy output model D433, version v3 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive, exact rational masses, not rounded observations: value 0 units with mass 1/4; value 2 units with mass 1/2; value 4 units with mass 1/4. Add masses of paths with the same value. Mean is the probability-weighted arithmetic mean; most probable compares aggregated value masses and allows ties. Here x = 2 units. No claim that the model is correct or guarantees a trial is supplied. Statement: 2 units is mean-outcome(D433).",
    "question": "Evaluate the claim, whether x can actually occur, whether x alone is most probable, and whether the next result is guaranteed to equal x.",
    "options": [
      "Claim true: yes; x possible: yes; x unique most probable: yes; next result guaranteed x: yes.",
      "Claim true: yes; x possible: yes; x unique most probable: no; next result guaranteed x: yes.",
      "Claim true: yes; x possible: yes; x unique most probable: no; next result guaranteed x: no.",
      "Claim true: yes; x possible: no; x unique most probable: yes; next result guaranteed x: yes.",
      "Claim true: yes; x possible: no; x unique most probable: yes; next result guaranteed x: no.",
      "Claim true: yes; x possible: no; x unique most probable: no; next result guaranteed x: yes.",
      "Claim true: yes; x possible: no; x unique most probable: no; next result guaranteed x: no.",
      "Claim true: no; x possible: yes; x unique most probable: yes; next result guaranteed x: yes.",
      "Claim true: no; x possible: yes; x unique most probable: yes; next result guaranteed x: no.",
      "Claim true: no; x possible: yes; x unique most probable: no; next result guaranteed x: yes.",
      "Claim true: no; x possible: yes; x unique most probable: no; next result guaranteed x: no.",
      "Claim true: no; x possible: no; x unique most probable: yes; next result guaranteed x: yes.",
      "Claim true: yes; x possible: yes; x unique most probable: yes; next result guaranteed x: no.",
      "Claim true: no; x possible: no; x unique most probable: yes; next result guaranteed x: no.",
      "Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: yes.",
      "Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: no."
    ],
    "answer": "Claim true: yes; x possible: yes; x unique most probable: yes; next result guaranteed x: no.",
    "settlement_stratum": "mean-outcome",
    "domain": "toy output",
    "boundary": "mean-is-mode",
    "variant": 0,
    "oracle": {
      "mean": "2",
      "modes": [
        "2"
      ],
      "value": "2",
      "flags": [
        true,
        true,
        true,
        false
      ],
      "masses": {
        "0": "1/4",
        "2": "1/2",
        "4": "1/4"
      }
    }
  },
  {
    "id": "outcome-careful-outcome-full-013",
    "english": "Shared definition supplied once for this stateless question: x is mean-outcome(D) asserts that x equals the probability-weighted arithmetic mean under D. x is likeliest-outcome(D) asserts that x has the highest aggregated outcome mass under D, with ties allowed. These definitions also govern the corresponding English phrases. They do not guarantee a trial result or certify the model. Fictional toy output model D434, version v3 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive, exact rational masses, not rounded observations: value 1 units with mass 1/4; value 3 units with mass 1/2; value 5 units with mass 1/4. Add masses of paths with the same value. Mean is the probability-weighted arithmetic mean; most probable compares aggregated value masses and allows ties. Here x = 4 units. No claim that the model is correct or guarantees a trial is supplied. Statement: Under D434, the probability-weighted mean is 4 units.",
    "ainglish": "Shared definition supplied once for this stateless question: x is mean-outcome(D) asserts that x equals the probability-weighted arithmetic mean under D. x is likeliest-outcome(D) asserts that x has the highest aggregated outcome mass under D, with ties allowed. These definitions also govern the corresponding English phrases. They do not guarantee a trial result or certify the model. Fictional toy output model D434, version v3 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive, exact rational masses, not rounded observations: value 1 units with mass 1/4; value 3 units with mass 1/2; value 5 units with mass 1/4. Add masses of paths with the same value. Mean is the probability-weighted arithmetic mean; most probable compares aggregated value masses and allows ties. Here x = 4 units. No claim that the model is correct or guarantees a trial is supplied. Statement: 4 units is mean-outcome(D434).",
    "question": "Evaluate the claim, whether x can actually occur, whether x alone is most probable, and whether the next result is guaranteed to equal x.",
    "options": [
      "Claim true: yes; x possible: yes; x unique most probable: yes; next result guaranteed x: yes.",
      "Claim true: yes; x possible: yes; x unique most probable: yes; next result guaranteed x: no.",
      "Claim true: yes; x possible: yes; x unique most probable: no; next result guaranteed x: yes.",
      "Claim true: yes; x possible: yes; x unique most probable: no; next result guaranteed x: no.",
      "Claim true: yes; x possible: no; x unique most probable: yes; next result guaranteed x: yes.",
      "Claim true: yes; x possible: no; x unique most probable: yes; next result guaranteed x: no.",
      "Claim true: yes; x possible: no; x unique most probable: no; next result guaranteed x: yes.",
      "Claim true: yes; x possible: no; x unique most probable: no; next result guaranteed x: no.",
      "Claim true: no; x possible: yes; x unique most probable: yes; next result guaranteed x: yes.",
      "Claim true: no; x possible: yes; x unique most probable: yes; next result guaranteed x: no.",
      "Claim true: no; x possible: yes; x unique most probable: no; next result guaranteed x: yes.",
      "Claim true: no; x possible: yes; x unique most probable: no; next result guaranteed x: no.",
      "Claim true: no; x possible: no; x unique most probable: yes; next result guaranteed x: yes.",
      "Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: no.",
      "Claim true: no; x possible: no; x unique most probable: yes; next result guaranteed x: no.",
      "Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: yes."
    ],
    "answer": "Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: no.",
    "settlement_stratum": "mean-outcome",
    "domain": "toy output",
    "boundary": "mean-is-mode",
    "variant": 1,
    "oracle": {
      "mean": "3",
      "modes": [
        "3"
      ],
      "value": "4",
      "flags": [
        false,
        false,
        false,
        false
      ],
      "masses": {
        "1": "1/4",
        "3": "1/2",
        "5": "1/4"
      }
    }
  },
  {
    "id": "outcome-careful-outcome-full-014",
    "english": "Shared definition supplied once for this stateless question: x is mean-outcome(D) asserts that x equals the probability-weighted arithmetic mean under D. x is likeliest-outcome(D) asserts that x has the highest aggregated outcome mass under D, with ties allowed. These definitions also govern the corresponding English phrases. They do not guarantee a trial result or certify the model. Fictional toy output model D435, version v3 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive, exact rational masses, not rounded observations: value 2 units with mass 1/4; value 4 units with mass 1/2; value 6 units with mass 1/4. Add masses of paths with the same value. Mean is the probability-weighted arithmetic mean; most probable compares aggregated value masses and allows ties. Here x = 4 units. No claim that the model is correct or guarantees a trial is supplied. Statement: Under D435, the probability-weighted mean is 4 units.",
    "ainglish": "Shared definition supplied once for this stateless question: x is mean-outcome(D) asserts that x equals the probability-weighted arithmetic mean under D. x is likeliest-outcome(D) asserts that x has the highest aggregated outcome mass under D, with ties allowed. These definitions also govern the corresponding English phrases. They do not guarantee a trial result or certify the model. Fictional toy output model D435, version v3 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive, exact rational masses, not rounded observations: value 2 units with mass 1/4; value 4 units with mass 1/2; value 6 units with mass 1/4. Add masses of paths with the same value. Mean is the probability-weighted arithmetic mean; most probable compares aggregated value masses and allows ties. Here x = 4 units. No claim that the model is correct or guarantees a trial is supplied. Statement: 4 units is mean-outcome(D435).",
    "question": "Evaluate the claim, whether x can actually occur, whether x alone is most probable, and whether the next result is guaranteed to equal x.",
    "options": [
      "Claim true: yes; x possible: yes; x unique most probable: yes; next result guaranteed x: yes.",
      "Claim true: yes; x possible: yes; x unique most probable: no; next result guaranteed x: yes.",
      "Claim true: yes; x possible: yes; x unique most probable: no; next result guaranteed x: no.",
      "Claim true: yes; x possible: no; x unique most probable: yes; next result guaranteed x: yes.",
      "Claim true: yes; x possible: no; x unique most probable: yes; next result guaranteed x: no.",
      "Claim true: yes; x possible: no; x unique most probable: no; next result guaranteed x: yes.",
      "Claim true: yes; x possible: no; x unique most probable: no; next result guaranteed x: no.",
      "Claim true: no; x possible: yes; x unique most probable: yes; next result guaranteed x: yes.",
      "Claim true: no; x possible: yes; x unique most probable: yes; next result guaranteed x: no.",
      "Claim true: no; x possible: yes; x unique most probable: no; next result guaranteed x: yes.",
      "Claim true: no; x possible: yes; x unique most probable: no; next result guaranteed x: no.",
      "Claim true: no; x possible: no; x unique most probable: yes; next result guaranteed x: yes.",
      "Claim true: no; x possible: no; x unique most probable: yes; next result guaranteed x: no.",
      "Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: yes.",
      "Claim true: yes; x possible: yes; x unique most probable: yes; next result guaranteed x: no.",
      "Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: no."
    ],
    "answer": "Claim true: yes; x possible: yes; x unique most probable: yes; next result guaranteed x: no.",
    "settlement_stratum": "mean-outcome",
    "domain": "toy output",
    "boundary": "mean-is-mode",
    "variant": 2,
    "oracle": {
      "mean": "4",
      "modes": [
        "4"
      ],
      "value": "4",
      "flags": [
        true,
        true,
        true,
        false
      ],
      "masses": {
        "2": "1/4",
        "4": "1/2",
        "6": "1/4"
      }
    }
  },
  {
    "id": "outcome-careful-outcome-full-015",
    "english": "Shared definition supplied once for this stateless question: x is mean-outcome(D) asserts that x equals the probability-weighted arithmetic mean under D. x is likeliest-outcome(D) asserts that x has the highest aggregated outcome mass under D, with ties allowed. These definitions also govern the corresponding English phrases. They do not guarantee a trial result or certify the model. Fictional toy output model D436, version v3 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive, exact rational masses, not rounded observations: value 3 units with mass 1/4; value 5 units with mass 1/2; value 7 units with mass 1/4. Add masses of paths with the same value. Mean is the probability-weighted arithmetic mean; most probable compares aggregated value masses and allows ties. Here x = 6 units. No claim that the model is correct or guarantees a trial is supplied. Statement: Under D436, the probability-weighted mean is 6 units.",
    "ainglish": "Shared definition supplied once for this stateless question: x is mean-outcome(D) asserts that x equals the probability-weighted arithmetic mean under D. x is likeliest-outcome(D) asserts that x has the highest aggregated outcome mass under D, with ties allowed. These definitions also govern the corresponding English phrases. They do not guarantee a trial result or certify the model. Fictional toy output model D436, version v3 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive, exact rational masses, not rounded observations: value 3 units with mass 1/4; value 5 units with mass 1/2; value 7 units with mass 1/4. Add masses of paths with the same value. Mean is the probability-weighted arithmetic mean; most probable compares aggregated value masses and allows ties. Here x = 6 units. No claim that the model is correct or guarantees a trial is supplied. Statement: 6 units is mean-outcome(D436).",
    "question": "Evaluate the claim, whether x can actually occur, whether x alone is most probable, and whether the next result is guaranteed to equal x.",
    "options": [
      "Claim true: yes; x possible: yes; x unique most probable: yes; next result guaranteed x: yes.",
      "Claim true: yes; x possible: yes; x unique most probable: yes; next result guaranteed x: no.",
      "Claim true: yes; x possible: yes; x unique most probable: no; next result guaranteed x: yes.",
      "Claim true: yes; x possible: yes; x unique most probable: no; next result guaranteed x: no.",
      "Claim true: yes; x possible: no; x unique most probable: yes; next result guaranteed x: yes.",
      "Claim true: yes; x possible: no; x unique most probable: yes; next result guaranteed x: no.",
      "Claim true: yes; x possible: no; x unique most probable: no; next result guaranteed x: yes.",
      "Claim true: yes; x possible: no; x unique most probable: no; next result guaranteed x: no.",
      "Claim true: no; x possible: yes; x unique most probable: yes; next result guaranteed x: yes.",
      "Claim true: no; x possible: yes; x unique most probable: yes; next result guaranteed x: no.",
      "Claim true: no; x possible: yes; x unique most probable: no; next result guaranteed x: yes.",
      "Claim true: no; x possible: yes; x unique most probable: no; next result guaranteed x: no.",
      "Claim true: no; x possible: no; x unique most probable: yes; next result guaranteed x: yes.",
      "Claim true: no; x possible: no; x unique most probable: yes; next result guaranteed x: no.",
      "Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: yes.",
      "Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: no."
    ],
    "answer": "Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: no.",
    "settlement_stratum": "mean-outcome",
    "domain": "toy output",
    "boundary": "mean-is-mode",
    "variant": 3,
    "oracle": {
      "mean": "5",
      "modes": [
        "5"
      ],
      "value": "6",
      "flags": [
        false,
        false,
        false,
        false
      ],
      "masses": {
        "3": "1/4",
        "5": "1/2",
        "7": "1/4"
      }
    }
  },
  {
    "id": "outcome-careful-outcome-full-016",
    "english": "Shared definition supplied once for this stateless question: x is mean-outcome(D) asserts that x equals the probability-weighted arithmetic mean under D. x is likeliest-outcome(D) asserts that x has the highest aggregated outcome mass under D, with ties allowed. These definitions also govern the corresponding English phrases. They do not guarantee a trial result or certify the model. Fictional toy output model D437, version v3 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive, exact rational masses, not rounded observations: value 0 units with mass 1/5; value 4 units with mass 3/10; value 4 units with mass 3/10; value 8 units with mass 1/5. Add masses of paths with the same value. Mean is the probability-weighted arithmetic mean; most probable compares aggregated value masses and allows ties. Here x = 4 units. No claim that the model is correct or guarantees a trial is supplied. Statement: Under D437, the probability-weighted mean is 4 units.",
    "ainglish": "Shared definition supplied once for this stateless question: x is mean-outcome(D) asserts that x equals the probability-weighted arithmetic mean under D. x is likeliest-outcome(D) asserts that x has the highest aggregated outcome mass under D, with ties allowed. These definitions also govern the corresponding English phrases. They do not guarantee a trial result or certify the model. Fictional toy output model D437, version v3 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive, exact rational masses, not rounded observations: value 0 units with mass 1/5; value 4 units with mass 3/10; value 4 units with mass 3/10; value 8 units with mass 1/5. Add masses of paths with the same value. Mean is the probability-weighted arithmetic mean; most probable compares aggregated value masses and allows ties. Here x = 4 units. No claim that the model is correct or guarantees a trial is supplied. Statement: 4 units is mean-outcome(D437).",
    "question": "Evaluate the claim, whether x can actually occur, whether x alone is most probable, and whether the next result is guaranteed to equal x.",
    "options": [
      "Claim true: yes; x possible: yes; x unique most probable: yes; next result guaranteed x: no.",
      "Claim true: yes; x possible: yes; x unique most probable: yes; next result guaranteed x: yes.",
      "Claim true: yes; x possible: yes; x unique most probable: no; next result guaranteed x: yes.",
      "Claim true: yes; x possible: yes; x unique most probable: no; next result guaranteed x: no.",
      "Claim true: yes; x possible: no; x unique most probable: yes; next result guaranteed x: yes.",
      "Claim true: yes; x possible: no; x unique most probable: yes; next result guaranteed x: no.",
      "Claim true: yes; x possible: no; x unique most probable: no; next result guaranteed x: yes.",
      "Claim true: yes; x possible: no; x unique most probable: no; next result guaranteed x: no.",
      "Claim true: no; x possible: yes; x unique most probable: yes; next result guaranteed x: yes.",
      "Claim true: no; x possible: yes; x unique most probable: yes; next result guaranteed x: no.",
      "Claim true: no; x possible: yes; x unique most probable: no; next result guaranteed x: yes.",
      "Claim true: no; x possible: yes; x unique most probable: no; next result guaranteed x: no.",
      "Claim true: no; x possible: no; x unique most probable: yes; next result guaranteed x: yes.",
      "Claim true: no; x possible: no; x unique most probable: yes; next result guaranteed x: no.",
      "Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: yes.",
      "Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: no."
    ],
    "answer": "Claim true: yes; x possible: yes; x unique most probable: yes; next result guaranteed x: no.",
    "settlement_stratum": "mean-outcome",
    "domain": "toy output",
    "boundary": "aggregate-paths",
    "variant": 0,
    "oracle": {
      "mean": "4",
      "modes": [
        "4"
      ],
      "value": "4",
      "flags": [
        true,
        true,
        true,
        false
      ],
      "masses": {
        "0": "1/5",
        "4": "3/5",
        "8": "1/5"
      }
    }
  },
  {
    "id": "outcome-careful-outcome-full-017",
    "english": "Shared definition supplied once for this stateless question: x is mean-outcome(D) asserts that x equals the probability-weighted arithmetic mean under D. x is likeliest-outcome(D) asserts that x has the highest aggregated outcome mass under D, with ties allowed. These definitions also govern the corresponding English phrases. They do not guarantee a trial result or certify the model. Fictional toy output model D438, version v3 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive, exact rational masses, not rounded observations: value 1 units with mass 1/5; value 5 units with mass 3/10; value 5 units with mass 3/10; value 9 units with mass 1/5. Add masses of paths with the same value. Mean is the probability-weighted arithmetic mean; most probable compares aggregated value masses and allows ties. Here x = 6 units. No claim that the model is correct or guarantees a trial is supplied. Statement: Under D438, the probability-weighted mean is 6 units.",
    "ainglish": "Shared definition supplied once for this stateless question: x is mean-outcome(D) asserts that x equals the probability-weighted arithmetic mean under D. x is likeliest-outcome(D) asserts that x has the highest aggregated outcome mass under D, with ties allowed. These definitions also govern the corresponding English phrases. They do not guarantee a trial result or certify the model. Fictional toy output model D438, version v3 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive, exact rational masses, not rounded observations: value 1 units with mass 1/5; value 5 units with mass 3/10; value 5 units with mass 3/10; value 9 units with mass 1/5. Add masses of paths with the same value. Mean is the probability-weighted arithmetic mean; most probable compares aggregated value masses and allows ties. Here x = 6 units. No claim that the model is correct or guarantees a trial is supplied. Statement: 6 units is mean-outcome(D438).",
    "question": "Evaluate the claim, whether x can actually occur, whether x alone is most probable, and whether the next result is guaranteed to equal x.",
    "options": [
      "Claim true: yes; x possible: yes; x unique most probable: yes; next result guaranteed x: yes.",
      "Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: no.",
      "Claim true: yes; x possible: yes; x unique most probable: yes; next result guaranteed x: no.",
      "Claim true: yes; x possible: yes; x unique most probable: no; next result guaranteed x: yes.",
      "Claim true: yes; x possible: yes; x unique most probable: no; next result guaranteed x: no.",
      "Claim true: yes; x possible: no; x unique most probable: yes; next result guaranteed x: yes.",
      "Claim true: yes; x possible: no; x unique most probable: yes; next result guaranteed x: no.",
      "Claim true: yes; x possible: no; x unique most probable: no; next result guaranteed x: yes.",
      "Claim true: yes; x possible: no; x unique most probable: no; next result guaranteed x: no.",
      "Claim true: no; x possible: yes; x unique most probable: yes; next result guaranteed x: yes.",
      "Claim true: no; x possible: yes; x unique most probable: yes; next result guaranteed x: no.",
      "Claim true: no; x possible: yes; x unique most probable: no; next result guaranteed x: yes.",
      "Claim true: no; x possible: yes; x unique most probable: no; next result guaranteed x: no.",
      "Claim true: no; x possible: no; x unique most probable: yes; next result guaranteed x: yes.",
      "Claim true: no; x possible: no; x unique most probable: yes; next result guaranteed x: no.",
      "Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: yes."
    ],
    "answer": "Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: no.",
    "settlement_stratum": "mean-outcome",
    "domain": "toy output",
    "boundary": "aggregate-paths",
    "variant": 1,
    "oracle": {
      "mean": "5",
      "modes": [
        "5"
      ],
      "value": "6",
      "flags": [
        false,
        false,
        false,
        false
      ],
      "masses": {
        "1": "1/5",
        "5": "3/5",
        "9": "1/5"
      }
    }
  },
  {
    "id": "outcome-careful-outcome-full-018",
    "english": "Shared definition supplied once for this stateless question: x is mean-outcome(D) asserts that x equals the probability-weighted arithmetic mean under D. x is likeliest-outcome(D) asserts that x has the highest aggregated outcome mass under D, with ties allowed. These definitions also govern the corresponding English phrases. They do not guarantee a trial result or certify the model. Fictional toy output model D439, version v3 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive, exact rational masses, not rounded observations: value 2 units with mass 1/5; value 6 units with mass 3/10; value 6 units with mass 3/10; value 10 units with mass 1/5. Add masses of paths with the same value. Mean is the probability-weighted arithmetic mean; most probable compares aggregated value masses and allows ties. Here x = 6 units. No claim that the model is correct or guarantees a trial is supplied. Statement: Under D439, the probability-weighted mean is 6 units.",
    "ainglish": "Shared definition supplied once for this stateless question: x is mean-outcome(D) asserts that x equals the probability-weighted arithmetic mean under D. x is likeliest-outcome(D) asserts that x has the highest aggregated outcome mass under D, with ties allowed. These definitions also govern the corresponding English phrases. They do not guarantee a trial result or certify the model. Fictional toy output model D439, version v3 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive, exact rational masses, not rounded observations: value 2 units with mass 1/5; value 6 units with mass 3/10; value 6 units with mass 3/10; value 10 units with mass 1/5. Add masses of paths with the same value. Mean is the probability-weighted arithmetic mean; most probable compares aggregated value masses and allows ties. Here x = 6 units. No claim that the model is correct or guarantees a trial is supplied. Statement: 6 units is mean-outcome(D439).",
    "question": "Evaluate the claim, whether x can actually occur, whether x alone is most probable, and whether the next result is guaranteed to equal x.",
    "options": [
      "Claim true: yes; x possible: yes; x unique most probable: yes; next result guaranteed x: yes.",
      "Claim true: yes; x possible: yes; x unique most probable: no; next result guaranteed x: yes.",
      "Claim true: yes; x possible: yes; x unique most probable: yes; next result guaranteed x: no.",
      "Claim true: yes; x possible: yes; x unique most probable: no; next result guaranteed x: no.",
      "Claim true: yes; x possible: no; x unique most probable: yes; next result guaranteed x: yes.",
      "Claim true: yes; x possible: no; x unique most probable: yes; next result guaranteed x: no.",
      "Claim true: yes; x possible: no; x unique most probable: no; next result guaranteed x: yes.",
      "Claim true: yes; x possible: no; x unique most probable: no; next result guaranteed x: no.",
      "Claim true: no; x possible: yes; x unique most probable: yes; next result guaranteed x: yes.",
      "Claim true: no; x possible: yes; x unique most probable: yes; next result guaranteed x: no.",
      "Claim true: no; x possible: yes; x unique most probable: no; next result guaranteed x: yes.",
      "Claim true: no; x possible: yes; x unique most probable: no; next result guaranteed x: no.",
      "Claim true: no; x possible: no; x unique most probable: yes; next result guaranteed x: yes.",
      "Claim true: no; x possible: no; x unique most probable: yes; next result guaranteed x: no.",
      "Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: yes.",
      "Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: no."
    ],
    "answer": "Claim true: yes; x possible: yes; x unique most probable: yes; next result guaranteed x: no.",
    "settlement_stratum": "mean-outcome",
    "domain": "toy output",
    "boundary": "aggregate-paths",
    "variant": 2,
    "oracle": {
      "mean": "6",
      "modes": [
        "6"
      ],
      "value": "6",
      "flags": [
        true,
        true,
        true,
        false
      ],
      "masses": {
        "2": "1/5",
        "6": "3/5",
        "10": "1/5"
      }
    }
  },
  {
    "id": "outcome-careful-outcome-full-019",
    "english": "Shared definition supplied once for this stateless question: x is mean-outcome(D) asserts that x equals the probability-weighted arithmetic mean under D. x is likeliest-outcome(D) asserts that x has the highest aggregated outcome mass under D, with ties allowed. These definitions also govern the corresponding English phrases. They do not guarantee a trial result or certify the model. Fictional toy output model D440, version v3 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive, exact rational masses, not rounded observations: value 3 units with mass 1/5; value 7 units with mass 3/10; value 7 units with mass 3/10; value 11 units with mass 1/5. Add masses of paths with the same value. Mean is the probability-weighted arithmetic mean; most probable compares aggregated value masses and allows ties. Here x = 8 units. No claim that the model is correct or guarantees a trial is supplied. Statement: Under D440, the probability-weighted mean is 8 units.",
    "ainglish": "Shared definition supplied once for this stateless question: x is mean-outcome(D) asserts that x equals the probability-weighted arithmetic mean under D. x is likeliest-outcome(D) asserts that x has the highest aggregated outcome mass under D, with ties allowed. These definitions also govern the corresponding English phrases. They do not guarantee a trial result or certify the model. Fictional toy output model D440, version v3 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive, exact rational masses, not rounded observations: value 3 units with mass 1/5; value 7 units with mass 3/10; value 7 units with mass 3/10; value 11 units with mass 1/5. Add masses of paths with the same value. Mean is the probability-weighted arithmetic mean; most probable compares aggregated value masses and allows ties. Here x = 8 units. No claim that the model is correct or guarantees a trial is supplied. Statement: 8 units is mean-outcome(D440).",
    "question": "Evaluate the claim, whether x can actually occur, whether x alone is most probable, and whether the next result is guaranteed to equal x.",
    "options": [
      "Claim true: yes; x possible: yes; x unique most probable: yes; next result guaranteed x: yes.",
      "Claim true: yes; x possible: yes; x unique most probable: yes; next result guaranteed x: no.",
      "Claim true: yes; x possible: yes; x unique most probable: no; next result guaranteed x: yes.",
      "Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: no.",
      "Claim true: yes; x possible: yes; x unique most probable: no; next result guaranteed x: no.",
      "Claim true: yes; x possible: no; x unique most probable: yes; next result guaranteed x: yes.",
      "Claim true: yes; x possible: no; x unique most probable: yes; next result guaranteed x: no.",
      "Claim true: yes; x possible: no; x unique most probable: no; next result guaranteed x: yes.",
      "Claim true: yes; x possible: no; x unique most probable: no; next result guaranteed x: no.",
      "Claim true: no; x possible: yes; x unique most probable: yes; next result guaranteed x: yes.",
      "Claim true: no; x possible: yes; x unique most probable: yes; next result guaranteed x: no.",
      "Claim true: no; x possible: yes; x unique most probable: no; next result guaranteed x: yes.",
      "Claim true: no; x possible: yes; x unique most probable: no; next result guaranteed x: no.",
      "Claim true: no; x possible: no; x unique most probable: yes; next result guaranteed x: yes.",
      "Claim true: no; x possible: no; x unique most probable: yes; next result guaranteed x: no.",
      "Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: yes."
    ],
    "answer": "Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: no.",
    "settlement_stratum": "mean-outcome",
    "domain": "toy output",
    "boundary": "aggregate-paths",
    "variant": 3,
    "oracle": {
      "mean": "7",
      "modes": [
        "7"
      ],
      "value": "8",
      "flags": [
        false,
        false,
        false,
        false
      ],
      "masses": {
        "3": "1/5",
        "7": "3/5",
        "11": "1/5"
      }
    }
  },
  {
    "id": "outcome-careful-outcome-full-020",
    "english": "Shared definition supplied once for this stateless question: x is mean-outcome(D) asserts that x equals the probability-weighted arithmetic mean under D. x is likeliest-outcome(D) asserts that x has the highest aggregated outcome mass under D, with ties allowed. These definitions also govern the corresponding English phrases. They do not guarantee a trial result or certify the model. Fictional queue delay model D441, version v3 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive, exact rational masses, not rounded observations: value 0 units with mass 1/2; value 6 units with mass 1/2. Add masses of paths with the same value. Mean is the probability-weighted arithmetic mean; most probable compares aggregated value masses and allows ties. Here x = 3 units. No claim that the model is correct or guarantees a trial is supplied. Statement: Under D441, the probability-weighted mean is 3 units.",
    "ainglish": "Shared definition supplied once for this stateless question: x is mean-outcome(D) asserts that x equals the probability-weighted arithmetic mean under D. x is likeliest-outcome(D) asserts that x has the highest aggregated outcome mass under D, with ties allowed. These definitions also govern the corresponding English phrases. They do not guarantee a trial result or certify the model. Fictional queue delay model D441, version v3 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive, exact rational masses, not rounded observations: value 0 units with mass 1/2; value 6 units with mass 1/2. Add masses of paths with the same value. Mean is the probability-weighted arithmetic mean; most probable compares aggregated value masses and allows ties. Here x = 3 units. No claim that the model is correct or guarantees a trial is supplied. Statement: 3 units is mean-outcome(D441).",
    "question": "Evaluate the claim, whether x can actually occur, whether x alone is most probable, and whether the next result is guaranteed to equal x.",
    "options": [
      "Claim true: yes; x possible: yes; x unique most probable: yes; next result guaranteed x: yes.",
      "Claim true: yes; x possible: yes; x unique most probable: yes; next result guaranteed x: no.",
      "Claim true: yes; x possible: yes; x unique most probable: no; next result guaranteed x: yes.",
      "Claim true: yes; x possible: yes; x unique most probable: no; next result guaranteed x: no.",
      "Claim true: yes; x possible: no; x unique most probable: no; next result guaranteed x: no.",
      "Claim true: yes; x possible: no; x unique most probable: yes; next result guaranteed x: yes.",
      "Claim true: yes; x possible: no; x unique most probable: yes; next result guaranteed x: no.",
      "Claim true: yes; x possible: no; x unique most probable: no; next result guaranteed x: yes.",
      "Claim true: no; x possible: yes; x unique most probable: yes; next result guaranteed x: yes.",
      "Claim true: no; x possible: yes; x unique most probable: yes; next result guaranteed x: no.",
      "Claim true: no; x possible: yes; x unique most probable: no; next result guaranteed x: yes.",
      "Claim true: no; x possible: yes; x unique most probable: no; next result guaranteed x: no.",
      "Claim true: no; x possible: no; x unique most probable: yes; next result guaranteed x: yes.",
      "Claim true: no; x possible: no; x unique most probable: yes; next result guaranteed x: no.",
      "Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: yes.",
      "Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: no."
    ],
    "answer": "Claim true: yes; x possible: no; x unique most probable: no; next result guaranteed x: no.",
    "settlement_stratum": "mean-outcome",
    "domain": "queue delay",
    "boundary": "mean-outside",
    "variant": 0,
    "oracle": {
      "mean": "3",
      "modes": [
        "0",
        "6"
      ],
      "value": "3",
      "flags": [
        true,
        false,
        false,
        false
      ],
      "masses": {
        "0": "1/2",
        "6": "1/2"
      }
    }
  },
  {
    "id": "outcome-careful-outcome-full-021",
    "english": "Shared definition supplied once for this stateless question: x is mean-outcome(D) asserts that x equals the probability-weighted arithmetic mean under D. x is likeliest-outcome(D) asserts that x has the highest aggregated outcome mass under D, with ties allowed. These definitions also govern the corresponding English phrases. They do not guarantee a trial result or certify the model. Fictional queue delay model D442, version v3 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive, exact rational masses, not rounded observations: value 1 units with mass 1/2; value 7 units with mass 1/2. Add masses of paths with the same value. Mean is the probability-weighted arithmetic mean; most probable compares aggregated value masses and allows ties. Here x = 5 units. No claim that the model is correct or guarantees a trial is supplied. Statement: Under D442, the probability-weighted mean is 5 units.",
    "ainglish": "Shared definition supplied once for this stateless question: x is mean-outcome(D) asserts that x equals the probability-weighted arithmetic mean under D. x is likeliest-outcome(D) asserts that x has the highest aggregated outcome mass under D, with ties allowed. These definitions also govern the corresponding English phrases. They do not guarantee a trial result or certify the model. Fictional queue delay model D442, version v3 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive, exact rational masses, not rounded observations: value 1 units with mass 1/2; value 7 units with mass 1/2. Add masses of paths with the same value. Mean is the probability-weighted arithmetic mean; most probable compares aggregated value masses and allows ties. Here x = 5 units. No claim that the model is correct or guarantees a trial is supplied. Statement: 5 units is mean-outcome(D442).",
    "question": "Evaluate the claim, whether x can actually occur, whether x alone is most probable, and whether the next result is guaranteed to equal x.",
    "options": [
      "Claim true: yes; x possible: yes; x unique most probable: yes; next result guaranteed x: yes.",
      "Claim true: yes; x possible: yes; x unique most probable: yes; next result guaranteed x: no.",
      "Claim true: yes; x possible: yes; x unique most probable: no; next result guaranteed x: yes.",
      "Claim true: yes; x possible: yes; x unique most probable: no; next result guaranteed x: no.",
      "Claim true: yes; x possible: no; x unique most probable: yes; next result guaranteed x: yes.",
      "Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: no.",
      "Claim true: yes; x possible: no; x unique most probable: yes; next result guaranteed x: no.",
      "Claim true: yes; x possible: no; x unique most probable: no; next result guaranteed x: yes.",
      "Claim true: yes; x possible: no; x unique most probable: no; next result guaranteed x: no.",
      "Claim true: no; x possible: yes; x unique most probable: yes; next result guaranteed x: yes.",
      "Claim true: no; x possible: yes; x unique most probable: yes; next result guaranteed x: no.",
      "Claim true: no; x possible: yes; x unique most probable: no; next result guaranteed x: yes.",
      "Claim true: no; x possible: yes; x unique most probable: no; next result guaranteed x: no.",
      "Claim true: no; x possible: no; x unique most probable: yes; next result guaranteed x: yes.",
      "Claim true: no; x possible: no; x unique most probable: yes; next result guaranteed x: no.",
      "Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: yes."
    ],
    "answer": "Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: no.",
    "settlement_stratum": "mean-outcome",
    "domain": "queue delay",
    "boundary": "mean-outside",
    "variant": 1,
    "oracle": {
      "mean": "4",
      "modes": [
        "1",
        "7"
      ],
      "value": "5",
      "flags": [
        false,
        false,
        false,
        false
      ],
      "masses": {
        "1": "1/2",
        "7": "1/2"
      }
    }
  },
  {
    "id": "outcome-careful-outcome-full-022",
    "english": "Shared definition supplied once for this stateless question: x is mean-outcome(D) asserts that x equals the probability-weighted arithmetic mean under D. x is likeliest-outcome(D) asserts that x has the highest aggregated outcome mass under D, with ties allowed. These definitions also govern the corresponding English phrases. They do not guarantee a trial result or certify the model. Fictional queue delay model D443, version v3 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive, exact rational masses, not rounded observations: value 2 units with mass 1/2; value 8 units with mass 1/2. Add masses of paths with the same value. Mean is the probability-weighted arithmetic mean; most probable compares aggregated value masses and allows ties. Here x = 5 units. No claim that the model is correct or guarantees a trial is supplied. Statement: Under D443, the probability-weighted mean is 5 units.",
    "ainglish": "Shared definition supplied once for this stateless question: x is mean-outcome(D) asserts that x equals the probability-weighted arithmetic mean under D. x is likeliest-outcome(D) asserts that x has the highest aggregated outcome mass under D, with ties allowed. These definitions also govern the corresponding English phrases. They do not guarantee a trial result or certify the model. Fictional queue delay model D443, version v3 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive, exact rational masses, not rounded observations: value 2 units with mass 1/2; value 8 units with mass 1/2. Add masses of paths with the same value. Mean is the probability-weighted arithmetic mean; most probable compares aggregated value masses and allows ties. Here x = 5 units. No claim that the model is correct or guarantees a trial is supplied. Statement: 5 units is mean-outcome(D443).",
    "question": "Evaluate the claim, whether x can actually occur, whether x alone is most probable, and whether the next result is guaranteed to equal x.",
    "options": [
      "Claim true: yes; x possible: yes; x unique most probable: yes; next result guaranteed x: yes.",
      "Claim true: yes; x possible: yes; x unique most probable: yes; next result guaranteed x: no.",
      "Claim true: yes; x possible: yes; x unique most probable: no; next result guaranteed x: yes.",
      "Claim true: yes; x possible: yes; x unique most probable: no; next result guaranteed x: no.",
      "Claim true: yes; x possible: no; x unique most probable: yes; next result guaranteed x: yes.",
      "Claim true: yes; x possible: no; x unique most probable: yes; next result guaranteed x: no.",
      "Claim true: yes; x possible: no; x unique most probable: no; next result guaranteed x: no.",
      "Claim true: yes; x possible: no; x unique most probable: no; next result guaranteed x: yes.",
      "Claim true: no; x possible: yes; x unique most probable: yes; next result guaranteed x: yes.",
      "Claim true: no; x possible: yes; x unique most probable: yes; next result guaranteed x: no.",
      "Claim true: no; x possible: yes; x unique most probable: no; next result guaranteed x: yes.",
      "Claim true: no; x possible: yes; x unique most probable: no; next result guaranteed x: no.",
      "Claim true: no; x possible: no; x unique most probable: yes; next result guaranteed x: yes.",
      "Claim true: no; x possible: no; x unique most probable: yes; next result guaranteed x: no.",
      "Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: yes.",
      "Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: no."
    ],
    "answer": "Claim true: yes; x possible: no; x unique most probable: no; next result guaranteed x: no.",
    "settlement_stratum": "mean-outcome",
    "domain": "queue delay",
    "boundary": "mean-outside",
    "variant": 2,
    "oracle": {
      "mean": "5",
      "modes": [
        "2",
        "8"
      ],
      "value": "5",
      "flags": [
        true,
        false,
        false,
        false
      ],
      "masses": {
        "2": "1/2",
        "8": "1/2"
      }
    }
  },
  {
    "id": "outcome-careful-outcome-full-023",
    "english": "Shared definition supplied once for this stateless question: x is mean-outcome(D) asserts that x equals the probability-weighted arithmetic mean under D. x is likeliest-outcome(D) asserts that x has the highest aggregated outcome mass under D, with ties allowed. These definitions also govern the corresponding English phrases. They do not guarantee a trial result or certify the model. Fictional queue delay model D444, version v3 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive, exact rational masses, not rounded observations: value 3 units with mass 1/2; value 9 units with mass 1/2. Add masses of paths with the same value. Mean is the probability-weighted arithmetic mean; most probable compares aggregated value masses and allows ties. Here x = 7 units. No claim that the model is correct or guarantees a trial is supplied. Statement: Under D444, the probability-weighted mean is 7 units.",
    "ainglish": "Shared definition supplied once for this stateless question: x is mean-outcome(D) asserts that x equals the probability-weighted arithmetic mean under D. x is likeliest-outcome(D) asserts that x has the highest aggregated outcome mass under D, with ties allowed. These definitions also govern the corresponding English phrases. They do not guarantee a trial result or certify the model. Fictional queue delay model D444, version v3 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive, exact rational masses, not rounded observations: value 3 units with mass 1/2; value 9 units with mass 1/2. Add masses of paths with the same value. Mean is the probability-weighted arithmetic mean; most probable compares aggregated value masses and allows ties. Here x = 7 units. No claim that the model is correct or guarantees a trial is supplied. Statement: 7 units is mean-outcome(D444).",
    "question": "Evaluate the claim, whether x can actually occur, whether x alone is most probable, and whether the next result is guaranteed to equal x.",
    "options": [
      "Claim true: yes; x possible: yes; x unique most probable: yes; next result guaranteed x: yes.",
      "Claim true: yes; x possible: yes; x unique most probable: yes; next result guaranteed x: no.",
      "Claim true: yes; x possible: yes; x unique most probable: no; next result guaranteed x: yes.",
      "Claim true: yes; x possible: yes; x unique most probable: no; next result guaranteed x: no.",
      "Claim true: yes; x possible: no; x unique most probable: yes; next result guaranteed x: yes.",
      "Claim true: yes; x possible: no; x unique most probable: yes; next result guaranteed x: no.",
      "Claim true: yes; x possible: no; x unique most probable: no; next result guaranteed x: yes.",
      "Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: no.",
      "Claim true: yes; x possible: no; x unique most probable: no; next result guaranteed x: no.",
      "Claim true: no; x possible: yes; x unique most probable: yes; next result guaranteed x: yes.",
      "Claim true: no; x possible: yes; x unique most probable: yes; next result guaranteed x: no.",
      "Claim true: no; x possible: yes; x unique most probable: no; next result guaranteed x: yes.",
      "Claim true: no; x possible: yes; x unique most probable: no; next result guaranteed x: no.",
      "Claim true: no; x possible: no; x unique most probable: yes; next result guaranteed x: yes.",
      "Claim true: no; x possible: no; x unique most probable: yes; next result guaranteed x: no.",
      "Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: yes."
    ],
    "answer": "Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: no.",
    "settlement_stratum": "mean-outcome",
    "domain": "queue delay",
    "boundary": "mean-outside",
    "variant": 3,
    "oracle": {
      "mean": "6",
      "modes": [
        "3",
        "9"
      ],
      "value": "7",
      "flags": [
        false,
        false,
        false,
        false
      ],
      "masses": {
        "3": "1/2",
        "9": "1/2"
      }
    }
  },
  {
    "id": "outcome-careful-outcome-full-024",
    "english": "Shared definition supplied once for this stateless question: x is mean-outcome(D) asserts that x equals the probability-weighted arithmetic mean under D. x is likeliest-outcome(D) asserts that x has the highest aggregated outcome mass under D, with ties allowed. These definitions also govern the corresponding English phrases. They do not guarantee a trial result or certify the model. Fictional queue delay model D445, version v3 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive, exact rational masses, not rounded observations: value 0 units with mass 2/5; value 2 units with mass 3/10; value 5 units with mass 3/10. Add masses of paths with the same value. Mean is the probability-weighted arithmetic mean; most probable compares aggregated value masses and allows ties. Here x = 21/10 units. No claim that the model is correct or guarantees a trial is supplied. Statement: Under D445, the probability-weighted mean is 21/10 units.",
    "ainglish": "Shared definition supplied once for this stateless question: x is mean-outcome(D) asserts that x equals the probability-weighted arithmetic mean under D. x is likeliest-outcome(D) asserts that x has the highest aggregated outcome mass under D, with ties allowed. These definitions also govern the corresponding English phrases. They do not guarantee a trial result or certify the model. Fictional queue delay model D445, version v3 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive, exact rational masses, not rounded observations: value 0 units with mass 2/5; value 2 units with mass 3/10; value 5 units with mass 3/10. Add masses of paths with the same value. Mean is the probability-weighted arithmetic mean; most probable compares aggregated value masses and allows ties. Here x = 21/10 units. No claim that the model is correct or guarantees a trial is supplied. Statement: 21/10 units is mean-outcome(D445).",
    "question": "Evaluate the claim, whether x can actually occur, whether x alone is most probable, and whether the next result is guaranteed to equal x.",
    "options": [
      "Claim true: yes; x possible: yes; x unique most probable: yes; next result guaranteed x: yes.",
      "Claim true: yes; x possible: yes; x unique most probable: yes; next result guaranteed x: no.",
      "Claim true: yes; x possible: yes; x unique most probable: no; next result guaranteed x: yes.",
      "Claim true: yes; x possible: yes; x unique most probable: no; next result guaranteed x: no.",
      "Claim true: yes; x possible: no; x unique most probable: yes; next result guaranteed x: yes.",
      "Claim true: yes; x possible: no; x unique most probable: yes; next result guaranteed x: no.",
      "Claim true: yes; x possible: no; x unique most probable: no; next result guaranteed x: yes.",
      "Claim true: no; x possible: yes; x unique most probable: yes; next result guaranteed x: yes.",
      "Claim true: yes; x possible: no; x unique most probable: no; next result guaranteed x: no.",
      "Claim true: no; x possible: yes; x unique most probable: yes; next result guaranteed x: no.",
      "Claim true: no; x possible: yes; x unique most probable: no; next result guaranteed x: yes.",
      "Claim true: no; x possible: yes; x unique most probable: no; next result guaranteed x: no.",
      "Claim true: no; x possible: no; x unique most probable: yes; next result guaranteed x: yes.",
      "Claim true: no; x possible: no; x unique most probable: yes; next result guaranteed x: no.",
      "Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: yes.",
      "Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: no."
    ],
    "answer": "Claim true: yes; x possible: no; x unique most probable: no; next result guaranteed x: no.",
    "settlement_stratum": "mean-outcome",
    "domain": "queue delay",
    "boundary": "mode-below-half",
    "variant": 0,
    "oracle": {
      "mean": "21/10",
      "modes": [
        "0"
      ],
      "value": "21/10",
      "flags": [
        true,
        false,
        false,
        false
      ],
      "masses": {
        "0": "2/5",
        "2": "3/10",
        "5": "3/10"
      }
    }
  },
  {
    "id": "outcome-careful-outcome-full-025",
    "english": "Shared definition supplied once for this stateless question: x is mean-outcome(D) asserts that x equals the probability-weighted arithmetic mean under D. x is likeliest-outcome(D) asserts that x has the highest aggregated outcome mass under D, with ties allowed. These definitions also govern the corresponding English phrases. They do not guarantee a trial result or certify the model. Fictional queue delay model D446, version v3 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive, exact rational masses, not rounded observations: value 1 units with mass 2/5; value 3 units with mass 3/10; value 6 units with mass 3/10. Add masses of paths with the same value. Mean is the probability-weighted arithmetic mean; most probable compares aggregated value masses and allows ties. Here x = 41/10 units. No claim that the model is correct or guarantees a trial is supplied. Statement: Under D446, the probability-weighted mean is 41/10 units.",
    "ainglish": "Shared definition supplied once for this stateless question: x is mean-outcome(D) asserts that x equals the probability-weighted arithmetic mean under D. x is likeliest-outcome(D) asserts that x has the highest aggregated outcome mass under D, with ties allowed. These definitions also govern the corresponding English phrases. They do not guarantee a trial result or certify the model. Fictional queue delay model D446, version v3 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive, exact rational masses, not rounded observations: value 1 units with mass 2/5; value 3 units with mass 3/10; value 6 units with mass 3/10. Add masses of paths with the same value. Mean is the probability-weighted arithmetic mean; most probable compares aggregated value masses and allows ties. Here x = 41/10 units. No claim that the model is correct or guarantees a trial is supplied. Statement: 41/10 units is mean-outcome(D446).",
    "question": "Evaluate the claim, whether x can actually occur, whether x alone is most probable, and whether the next result is guaranteed to equal x.",
    "options": [
      "Claim true: yes; x possible: yes; x unique most probable: yes; next result guaranteed x: yes.",
      "Claim true: yes; x possible: yes; x unique most probable: yes; next result guaranteed x: no.",
      "Claim true: yes; x possible: yes; x unique most probable: no; next result guaranteed x: yes.",
      "Claim true: yes; x possible: yes; x unique most probable: no; next result guaranteed x: no.",
      "Claim true: yes; x possible: no; x unique most probable: yes; next result guaranteed x: yes.",
      "Claim true: yes; x possible: no; x unique most probable: yes; next result guaranteed x: no.",
      "Claim true: yes; x possible: no; x unique most probable: no; next result guaranteed x: yes.",
      "Claim true: yes; x possible: no; x unique most probable: no; next result guaranteed x: no.",
      "Claim true: no; x possible: yes; x unique most probable: yes; next result guaranteed x: yes.",
      "Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: no.",
      "Claim true: no; x possible: yes; x unique most probable: yes; next result guaranteed x: no.",
      "Claim true: no; x possible: yes; x unique most probable: no; next result guaranteed x: yes.",
      "Claim true: no; x possible: yes; x unique most probable: no; next result guaranteed x: no.",
      "Claim true: no; x possible: no; x unique most probable: yes; next result guaranteed x: yes.",
      "Claim true: no; x possible: no; x unique most probable: yes; next result guaranteed x: no.",
      "Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: yes."
    ],
    "answer": "Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: no.",
    "settlement_stratum": "mean-outcome",
    "domain": "queue delay",
    "boundary": "mode-below-half",
    "variant": 1,
    "oracle": {
      "mean": "31/10",
      "modes": [
        "1"
      ],
      "value": "41/10",
      "flags": [
        false,
        false,
        false,
        false
      ],
      "masses": {
        "1": "2/5",
        "3": "3/10",
        "6": "3/10"
      }
    }
  },
  {
    "id": "outcome-careful-outcome-full-026",
    "english": "Shared definition supplied once for this stateless question: x is mean-outcome(D) asserts that x equals the probability-weighted arithmetic mean under D. x is likeliest-outcome(D) asserts that x has the highest aggregated outcome mass under D, with ties allowed. These definitions also govern the corresponding English phrases. They do not guarantee a trial result or certify the model. Fictional queue delay model D447, version v3 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive, exact rational masses, not rounded observations: value 2 units with mass 2/5; value 4 units with mass 3/10; value 7 units with mass 3/10. Add masses of paths with the same value. Mean is the probability-weighted arithmetic mean; most probable compares aggregated value masses and allows ties. Here x = 41/10 units. No claim that the model is correct or guarantees a trial is supplied. Statement: Under D447, the probability-weighted mean is 41/10 units.",
    "ainglish": "Shared definition supplied once for this stateless question: x is mean-outcome(D) asserts that x equals the probability-weighted arithmetic mean under D. x is likeliest-outcome(D) asserts that x has the highest aggregated outcome mass under D, with ties allowed. These definitions also govern the corresponding English phrases. They do not guarantee a trial result or certify the model. Fictional queue delay model D447, version v3 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive, exact rational masses, not rounded observations: value 2 units with mass 2/5; value 4 units with mass 3/10; value 7 units with mass 3/10. Add masses of paths with the same value. Mean is the probability-weighted arithmetic mean; most probable compares aggregated value masses and allows ties. Here x = 41/10 units. No claim that the model is correct or guarantees a trial is supplied. Statement: 41/10 units is mean-outcome(D447).",
    "question": "Evaluate the claim, whether x can actually occur, whether x alone is most probable, and whether the next result is guaranteed to equal x.",
    "options": [
      "Claim true: yes; x possible: yes; x unique most probable: yes; next result guaranteed x: yes.",
      "Claim true: yes; x possible: yes; x unique most probable: yes; next result guaranteed x: no.",
      "Claim true: yes; x possible: yes; x unique most probable: no; next result guaranteed x: yes.",
      "Claim true: yes; x possible: yes; x unique most probable: no; next result guaranteed x: no.",
      "Claim true: yes; x possible: no; x unique most probable: yes; next result guaranteed x: yes.",
      "Claim true: yes; x possible: no; x unique most probable: yes; next result guaranteed x: no.",
      "Claim true: yes; x possible: no; x unique most probable: no; next result guaranteed x: yes.",
      "Claim true: no; x possible: yes; x unique most probable: yes; next result guaranteed x: yes.",
      "Claim true: no; x possible: yes; x unique most probable: yes; next result guaranteed x: no.",
      "Claim true: no; x possible: yes; x unique most probable: no; next result guaranteed x: yes.",
      "Claim true: yes; x possible: no; x unique most probable: no; next result guaranteed x: no.",
      "Claim true: no; x possible: yes; x unique most probable: no; next result guaranteed x: no.",
      "Claim true: no; x possible: no; x unique most probable: yes; next result guaranteed x: yes.",
      "Claim true: no; x possible: no; x unique most probable: yes; next result guaranteed x: no.",
      "Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: yes.",
      "Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: no."
    ],
    "answer": "Claim true: yes; x possible: no; x unique most probable: no; next result guaranteed x: no.",
    "settlement_stratum": "mean-outcome",
    "domain": "queue delay",
    "boundary": "mode-below-half",
    "variant": 2,
    "oracle": {
      "mean": "41/10",
      "modes": [
        "2"
      ],
      "value": "41/10",
      "flags": [
        true,
        false,
        false,
        false
      ],
      "masses": {
        "2": "2/5",
        "4": "3/10",
        "7": "3/10"
      }
    }
  },
  {
    "id": "outcome-careful-outcome-full-027",
    "english": "Shared definition supplied once for this stateless question: x is mean-outcome(D) asserts that x equals the probability-weighted arithmetic mean under D. x is likeliest-outcome(D) asserts that x has the highest aggregated outcome mass under D, with ties allowed. These definitions also govern the corresponding English phrases. They do not guarantee a trial result or certify the model. Fictional queue delay model D448, version v3 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive, exact rational masses, not rounded observations: value 3 units with mass 2/5; value 5 units with mass 3/10; value 8 units with mass 3/10. Add masses of paths with the same value. Mean is the probability-weighted arithmetic mean; most probable compares aggregated value masses and allows ties. Here x = 61/10 units. No claim that the model is correct or guarantees a trial is supplied. Statement: Under D448, the probability-weighted mean is 61/10 units.",
    "ainglish": "Shared definition supplied once for this stateless question: x is mean-outcome(D) asserts that x equals the probability-weighted arithmetic mean under D. x is likeliest-outcome(D) asserts that x has the highest aggregated outcome mass under D, with ties allowed. These definitions also govern the corresponding English phrases. They do not guarantee a trial result or certify the model. Fictional queue delay model D448, version v3 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive, exact rational masses, not rounded observations: value 3 units with mass 2/5; value 5 units with mass 3/10; value 8 units with mass 3/10. Add masses of paths with the same value. Mean is the probability-weighted arithmetic mean; most probable compares aggregated value masses and allows ties. Here x = 61/10 units. No claim that the model is correct or guarantees a trial is supplied. Statement: 61/10 units is mean-outcome(D448).",
    "question": "Evaluate the claim, whether x can actually occur, whether x alone is most probable, and whether the next result is guaranteed to equal x.",
    "options": [
      "Claim true: yes; x possible: yes; x unique most probable: yes; next result guaranteed x: yes.",
      "Claim true: yes; x possible: yes; x unique most probable: yes; next result guaranteed x: no.",
      "Claim true: yes; x possible: yes; x unique most probable: no; next result guaranteed x: yes.",
      "Claim true: yes; x possible: yes; x unique most probable: no; next result guaranteed x: no.",
      "Claim true: yes; x possible: no; x unique most probable: yes; next result guaranteed x: yes.",
      "Claim true: yes; x possible: no; x unique most probable: yes; next result guaranteed x: no.",
      "Claim true: yes; x possible: no; x unique most probable: no; next result guaranteed x: yes.",
      "Claim true: yes; x possible: no; x unique most probable: no; next result guaranteed x: no.",
      "Claim true: no; x possible: yes; x unique most probable: yes; next result guaranteed x: yes.",
      "Claim true: no; x possible: yes; x unique most probable: yes; next result guaranteed x: no.",
      "Claim true: no; x possible: yes; x unique most probable: no; next result guaranteed x: yes.",
      "Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: no.",
      "Claim true: no; x possible: yes; x unique most probable: no; next result guaranteed x: no.",
      "Claim true: no; x possible: no; x unique most probable: yes; next result guaranteed x: yes.",
      "Claim true: no; x possible: no; x unique most probable: yes; next result guaranteed x: no.",
      "Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: yes."
    ],
    "answer": "Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: no.",
    "settlement_stratum": "mean-outcome",
    "domain": "queue delay",
    "boundary": "mode-below-half",
    "variant": 3,
    "oracle": {
      "mean": "51/10",
      "modes": [
        "3"
      ],
      "value": "61/10",
      "flags": [
        false,
        false,
        false,
        false
      ],
      "masses": {
        "3": "2/5",
        "5": "3/10",
        "8": "3/10"
      }
    }
  },
  {
    "id": "outcome-careful-outcome-full-028",
    "english": "Shared definition supplied once for this stateless question: x is mean-outcome(D) asserts that x equals the probability-weighted arithmetic mean under D. x is likeliest-outcome(D) asserts that x has the highest aggregated outcome mass under D, with ties allowed. These definitions also govern the corresponding English phrases. They do not guarantee a trial result or certify the model. Fictional queue delay model D449, version v3 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive, exact rational masses, not rounded observations: value 1 units with mass 2/5; value 3 units with mass 2/5; value 7 units with mass 1/5. Add masses of paths with the same value. Mean is the probability-weighted arithmetic mean; most probable compares aggregated value masses and allows ties. Here x = 3 units. No claim that the model is correct or guarantees a trial is supplied. Statement: Under D449, the probability-weighted mean is 3 units.",
    "ainglish": "Shared definition supplied once for this stateless question: x is mean-outcome(D) asserts that x equals the probability-weighted arithmetic mean under D. x is likeliest-outcome(D) asserts that x has the highest aggregated outcome mass under D, with ties allowed. These definitions also govern the corresponding English phrases. They do not guarantee a trial result or certify the model. Fictional queue delay model D449, version v3 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive, exact rational masses, not rounded observations: value 1 units with mass 2/5; value 3 units with mass 2/5; value 7 units with mass 1/5. Add masses of paths with the same value. Mean is the probability-weighted arithmetic mean; most probable compares aggregated value masses and allows ties. Here x = 3 units. No claim that the model is correct or guarantees a trial is supplied. Statement: 3 units is mean-outcome(D449).",
    "question": "Evaluate the claim, whether x can actually occur, whether x alone is most probable, and whether the next result is guaranteed to equal x.",
    "options": [
      "Claim true: yes; x possible: yes; x unique most probable: yes; next result guaranteed x: yes.",
      "Claim true: yes; x possible: yes; x unique most probable: yes; next result guaranteed x: no.",
      "Claim true: yes; x possible: yes; x unique most probable: no; next result guaranteed x: yes.",
      "Claim true: yes; x possible: no; x unique most probable: yes; next result guaranteed x: yes.",
      "Claim true: yes; x possible: no; x unique most probable: yes; next result guaranteed x: no.",
      "Claim true: yes; x possible: no; x unique most probable: no; next result guaranteed x: yes.",
      "Claim true: yes; x possible: no; x unique most probable: no; next result guaranteed x: no.",
      "Claim true: no; x possible: yes; x unique most probable: yes; next result guaranteed x: yes.",
      "Claim true: no; x possible: yes; x unique most probable: yes; next result guaranteed x: no.",
      "Claim true: no; x possible: yes; x unique most probable: no; next result guaranteed x: yes.",
      "Claim true: no; x possible: yes; x unique most probable: no; next result guaranteed x: no.",
      "Claim true: no; x possible: no; x unique most probable: yes; next result guaranteed x: yes.",
      "Claim true: yes; x possible: yes; x unique most probable: no; next result guaranteed x: no.",
      "Claim true: no; x possible: no; x unique most probable: yes; next result guaranteed x: no.",
      "Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: yes.",
      "Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: no."
    ],
    "answer": "Claim true: yes; x possible: yes; x unique most probable: no; next result guaranteed x: no.",
    "settlement_stratum": "mean-outcome",
    "domain": "queue delay",
    "boundary": "tied-modes",
    "variant": 0,
    "oracle": {
      "mean": "3",
      "modes": [
        "1",
        "3"
      ],
      "value": "3",
      "flags": [
        true,
        true,
        false,
        false
      ],
      "masses": {
        "1": "2/5",
        "3": "2/5",
        "7": "1/5"
      }
    }
  },
  {
    "id": "outcome-careful-outcome-full-029",
    "english": "Shared definition supplied once for this stateless question: x is mean-outcome(D) asserts that x equals the probability-weighted arithmetic mean under D. x is likeliest-outcome(D) asserts that x has the highest aggregated outcome mass under D, with ties allowed. These definitions also govern the corresponding English phrases. They do not guarantee a trial result or certify the model. Fictional queue delay model D450, version v3 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive, exact rational masses, not rounded observations: value 2 units with mass 2/5; value 4 units with mass 2/5; value 8 units with mass 1/5. Add masses of paths with the same value. Mean is the probability-weighted arithmetic mean; most probable compares aggregated value masses and allows ties. Here x = 5 units. No claim that the model is correct or guarantees a trial is supplied. Statement: Under D450, the probability-weighted mean is 5 units.",
    "ainglish": "Shared definition supplied once for this stateless question: x is mean-outcome(D) asserts that x equals the probability-weighted arithmetic mean under D. x is likeliest-outcome(D) asserts that x has the highest aggregated outcome mass under D, with ties allowed. These definitions also govern the corresponding English phrases. They do not guarantee a trial result or certify the model. Fictional queue delay model D450, version v3 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive, exact rational masses, not rounded observations: value 2 units with mass 2/5; value 4 units with mass 2/5; value 8 units with mass 1/5. Add masses of paths with the same value. Mean is the probability-weighted arithmetic mean; most probable compares aggregated value masses and allows ties. Here x = 5 units. No claim that the model is correct or guarantees a trial is supplied. Statement: 5 units is mean-outcome(D450).",
    "question": "Evaluate the claim, whether x can actually occur, whether x alone is most probable, and whether the next result is guaranteed to equal x.",
    "options": [
      "Claim true: yes; x possible: yes; x unique most probable: yes; next result guaranteed x: yes.",
      "Claim true: yes; x possible: yes; x unique most probable: yes; next result guaranteed x: no.",
      "Claim true: yes; x possible: yes; x unique most probable: no; next result guaranteed x: yes.",
      "Claim true: yes; x possible: yes; x unique most probable: no; next result guaranteed x: no.",
      "Claim true: yes; x possible: no; x unique most probable: yes; next result guaranteed x: yes.",
      "Claim true: yes; x possible: no; x unique most probable: yes; next result guaranteed x: no.",
      "Claim true: yes; x possible: no; x unique most probable: no; next result guaranteed x: yes.",
      "Claim true: yes; x possible: no; x unique most probable: no; next result guaranteed x: no.",
      "Claim true: no; x possible: yes; x unique most probable: yes; next result guaranteed x: yes.",
      "Claim true: no; x possible: yes; x unique most probable: yes; next result guaranteed x: no.",
      "Claim true: no; x possible: yes; x unique most probable: no; next result guaranteed x: yes.",
      "Claim true: no; x possible: yes; x unique most probable: no; next result guaranteed x: no.",
      "Claim true: no; x possible: no; x unique most probable: yes; next result guaranteed x: yes.",
      "Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: no.",
      "Claim true: no; x possible: no; x unique most probable: yes; next result guaranteed x: no.",
      "Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: yes."
    ],
    "answer": "Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: no.",
    "settlement_stratum": "mean-outcome",
    "domain": "queue delay",
    "boundary": "tied-modes",
    "variant": 1,
    "oracle": {
      "mean": "4",
      "modes": [
        "2",
        "4"
      ],
      "value": "5",
      "flags": [
        false,
        false,
        false,
        false
      ],
      "masses": {
        "2": "2/5",
        "4": "2/5",
        "8": "1/5"
      }
    }
  },
  {
    "id": "outcome-careful-outcome-full-030",
    "english": "Shared definition supplied once for this stateless question: x is mean-outcome(D) asserts that x equals the probability-weighted arithmetic mean under D. x is likeliest-outcome(D) asserts that x has the highest aggregated outcome mass under D, with ties allowed. These definitions also govern the corresponding English phrases. They do not guarantee a trial result or certify the model. Fictional queue delay model D451, version v3 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive, exact rational masses, not rounded observations: value 3 units with mass 2/5; value 5 units with mass 2/5; value 9 units with mass 1/5. Add masses of paths with the same value. Mean is the probability-weighted arithmetic mean; most probable compares aggregated value masses and allows ties. Here x = 5 units. No claim that the model is correct or guarantees a trial is supplied. Statement: Under D451, the probability-weighted mean is 5 units.",
    "ainglish": "Shared definition supplied once for this stateless question: x is mean-outcome(D) asserts that x equals the probability-weighted arithmetic mean under D. x is likeliest-outcome(D) asserts that x has the highest aggregated outcome mass under D, with ties allowed. These definitions also govern the corresponding English phrases. They do not guarantee a trial result or certify the model. Fictional queue delay model D451, version v3 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive, exact rational masses, not rounded observations: value 3 units with mass 2/5; value 5 units with mass 2/5; value 9 units with mass 1/5. Add masses of paths with the same value. Mean is the probability-weighted arithmetic mean; most probable compares aggregated value masses and allows ties. Here x = 5 units. No claim that the model is correct or guarantees a trial is supplied. Statement: 5 units is mean-outcome(D451).",
    "question": "Evaluate the claim, whether x can actually occur, whether x alone is most probable, and whether the next result is guaranteed to equal x.",
    "options": [
      "Claim true: yes; x possible: yes; x unique most probable: yes; next result guaranteed x: yes.",
      "Claim true: yes; x possible: yes; x unique most probable: yes; next result guaranteed x: no.",
      "Claim true: yes; x possible: yes; x unique most probable: no; next result guaranteed x: yes.",
      "Claim true: yes; x possible: no; x unique most probable: yes; next result guaranteed x: yes.",
      "Claim true: yes; x possible: no; x unique most probable: yes; next result guaranteed x: no.",
      "Claim true: yes; x possible: no; x unique most probable: no; next result guaranteed x: yes.",
      "Claim true: yes; x possible: no; x unique most probable: no; next result guaranteed x: no.",
      "Claim true: no; x possible: yes; x unique most probable: yes; next result guaranteed x: yes.",
      "Claim true: no; x possible: yes; x unique most probable: yes; next result guaranteed x: no.",
      "Claim true: no; x possible: yes; x unique most probable: no; next result guaranteed x: yes.",
      "Claim true: no; x possible: yes; x unique most probable: no; next result guaranteed x: no.",
      "Claim true: no; x possible: no; x unique most probable: yes; next result guaranteed x: yes.",
      "Claim true: no; x possible: no; x unique most probable: yes; next result guaranteed x: no.",
      "Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: yes.",
      "Claim true: yes; x possible: yes; x unique most probable: no; next result guaranteed x: no.",
      "Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: no."
    ],
    "answer": "Claim true: yes; x possible: yes; x unique most probable: no; next result guaranteed x: no.",
    "settlement_stratum": "mean-outcome",
    "domain": "queue delay",
    "boundary": "tied-modes",
    "variant": 2,
    "oracle": {
      "mean": "5",
      "modes": [
        "3",
        "5"
      ],
      "value": "5",
      "flags": [
        true,
        true,
        false,
        false
      ],
      "masses": {
        "3": "2/5",
        "5": "2/5",
        "9": "1/5"
      }
    }
  },
  {
    "id": "outcome-careful-outcome-full-031",
    "english": "Shared definition supplied once for this stateless question: x is mean-outcome(D) asserts that x equals the probability-weighted arithmetic mean under D. x is likeliest-outcome(D) asserts that x has the highest aggregated outcome mass under D, with ties allowed. These definitions also govern the corresponding English phrases. They do not guarantee a trial result or certify the model. Fictional queue delay model D452, version v3 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive, exact rational masses, not rounded observations: value 4 units with mass 2/5; value 6 units with mass 2/5; value 10 units with mass 1/5. Add masses of paths with the same value. Mean is the probability-weighted arithmetic mean; most probable compares aggregated value masses and allows ties. Here x = 7 units. No claim that the model is correct or guarantees a trial is supplied. Statement: Under D452, the probability-weighted mean is 7 units.",
    "ainglish": "Shared definition supplied once for this stateless question: x is mean-outcome(D) asserts that x equals the probability-weighted arithmetic mean under D. x is likeliest-outcome(D) asserts that x has the highest aggregated outcome mass under D, with ties allowed. These definitions also govern the corresponding English phrases. They do not guarantee a trial result or certify the model. Fictional queue delay model D452, version v3 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive, exact rational masses, not rounded observations: value 4 units with mass 2/5; value 6 units with mass 2/5; value 10 units with mass 1/5. Add masses of paths with the same value. Mean is the probability-weighted arithmetic mean; most probable compares aggregated value masses and allows ties. Here x = 7 units. No claim that the model is correct or guarantees a trial is supplied. Statement: 7 units is mean-outcome(D452).",
    "question": "Evaluate the claim, whether x can actually occur, whether x alone is most probable, and whether the next result is guaranteed to equal x.",
    "options": [
      "Claim true: yes; x possible: yes; x unique most probable: yes; next result guaranteed x: yes.",
      "Claim true: yes; x possible: yes; x unique most probable: yes; next result guaranteed x: no.",
      "Claim true: yes; x possible: yes; x unique most probable: no; next result guaranteed x: yes.",
      "Claim true: yes; x possible: yes; x unique most probable: no; next result guaranteed x: no.",
      "Claim true: yes; x possible: no; x unique most probable: yes; next result guaranteed x: yes.",
      "Claim true: yes; x possible: no; x unique most probable: yes; next result guaranteed x: no.",
      "Claim true: yes; x possible: no; x unique most probable: no; next result guaranteed x: yes.",
      "Claim true: yes; x possible: no; x unique most probable: no; next result guaranteed x: no.",
      "Claim true: no; x possible: yes; x unique most probable: yes; next result guaranteed x: yes.",
      "Claim true: no; x possible: yes; x unique most probable: yes; next result guaranteed x: no.",
      "Claim true: no; x possible: yes; x unique most probable: no; next result guaranteed x: yes.",
      "Claim true: no; x possible: yes; x unique most probable: no; next result guaranteed x: no.",
      "Claim true: no; x possible: no; x unique most probable: yes; next result guaranteed x: yes.",
      "Claim true: no; x possible: no; x unique most probable: yes; next result guaranteed x: no.",
      "Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: yes.",
      "Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: no."
    ],
    "answer": "Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: no.",
    "settlement_stratum": "mean-outcome",
    "domain": "queue delay",
    "boundary": "tied-modes",
    "variant": 3,
    "oracle": {
      "mean": "6",
      "modes": [
        "4",
        "6"
      ],
      "value": "7",
      "flags": [
        false,
        false,
        false,
        false
      ],
      "masses": {
        "4": "2/5",
        "6": "2/5",
        "10": "1/5"
      }
    }
  },
  {
    "id": "outcome-careful-outcome-full-032",
    "english": "Shared definition supplied once for this stateless question: x is mean-outcome(D) asserts that x equals the probability-weighted arithmetic mean under D. x is likeliest-outcome(D) asserts that x has the highest aggregated outcome mass under D, with ties allowed. These definitions also govern the corresponding English phrases. They do not guarantee a trial result or certify the model. Fictional queue delay model D453, version v3 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive, exact rational masses, not rounded observations: value 0 units with mass 1/4; value 2 units with mass 1/2; value 4 units with mass 1/4. Add masses of paths with the same value. Mean is the probability-weighted arithmetic mean; most probable compares aggregated value masses and allows ties. Here x = 2 units. No claim that the model is correct or guarantees a trial is supplied. Statement: Under D453, the probability-weighted mean is 2 units.",
    "ainglish": "Shared definition supplied once for this stateless question: x is mean-outcome(D) asserts that x equals the probability-weighted arithmetic mean under D. x is likeliest-outcome(D) asserts that x has the highest aggregated outcome mass under D, with ties allowed. These definitions also govern the corresponding English phrases. They do not guarantee a trial result or certify the model. Fictional queue delay model D453, version v3 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive, exact rational masses, not rounded observations: value 0 units with mass 1/4; value 2 units with mass 1/2; value 4 units with mass 1/4. Add masses of paths with the same value. Mean is the probability-weighted arithmetic mean; most probable compares aggregated value masses and allows ties. Here x = 2 units. No claim that the model is correct or guarantees a trial is supplied. Statement: 2 units is mean-outcome(D453).",
    "question": "Evaluate the claim, whether x can actually occur, whether x alone is most probable, and whether the next result is guaranteed to equal x.",
    "options": [
      "Claim true: yes; x possible: yes; x unique most probable: yes; next result guaranteed x: no.",
      "Claim true: yes; x possible: yes; x unique most probable: yes; next result guaranteed x: yes.",
      "Claim true: yes; x possible: yes; x unique most probable: no; next result guaranteed x: yes.",
      "Claim true: yes; x possible: yes; x unique most probable: no; next result guaranteed x: no.",
      "Claim true: yes; x possible: no; x unique most probable: yes; next result guaranteed x: yes.",
      "Claim true: yes; x possible: no; x unique most probable: yes; next result guaranteed x: no.",
      "Claim true: yes; x possible: no; x unique most probable: no; next result guaranteed x: yes.",
      "Claim true: yes; x possible: no; x unique most probable: no; next result guaranteed x: no.",
      "Claim true: no; x possible: yes; x unique most probable: yes; next result guaranteed x: yes.",
      "Claim true: no; x possible: yes; x unique most probable: yes; next result guaranteed x: no.",
      "Claim true: no; x possible: yes; x unique most probable: no; next result guaranteed x: yes.",
      "Claim true: no; x possible: yes; x unique most probable: no; next result guaranteed x: no.",
      "Claim true: no; x possible: no; x unique most probable: yes; next result guaranteed x: yes.",
      "Claim true: no; x possible: no; x unique most probable: yes; next result guaranteed x: no.",
      "Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: yes.",
      "Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: no."
    ],
    "answer": "Claim true: yes; x possible: yes; x unique most probable: yes; next result guaranteed x: no.",
    "settlement_stratum": "mean-outcome",
    "domain": "queue delay",
    "boundary": "mean-is-mode",
    "variant": 0,
    "oracle": {
      "mean": "2",
      "modes": [
        "2"
      ],
      "value": "2",
      "flags": [
        true,
        true,
        true,
        false
      ],
      "masses": {
        "0": "1/4",
        "2": "1/2",
        "4": "1/4"
      }
    }
  },
  {
    "id": "outcome-careful-outcome-full-033",
    "english": "Shared definition supplied once for this stateless question: x is mean-outcome(D) asserts that x equals the probability-weighted arithmetic mean under D. x is likeliest-outcome(D) asserts that x has the highest aggregated outcome mass under D, with ties allowed. These definitions also govern the corresponding English phrases. They do not guarantee a trial result or certify the model. Fictional queue delay model D454, version v3 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive, exact rational masses, not rounded observations: value 1 units with mass 1/4; value 3 units with mass 1/2; value 5 units with mass 1/4. Add masses of paths with the same value. Mean is the probability-weighted arithmetic mean; most probable compares aggregated value masses and allows ties. Here x = 4 units. No claim that the model is correct or guarantees a trial is supplied. Statement: Under D454, the probability-weighted mean is 4 units.",
    "ainglish": "Shared definition supplied once for this stateless question: x is mean-outcome(D) asserts that x equals the probability-weighted arithmetic mean under D. x is likeliest-outcome(D) asserts that x has the highest aggregated outcome mass under D, with ties allowed. These definitions also govern the corresponding English phrases. They do not guarantee a trial result or certify the model. Fictional queue delay model D454, version v3 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive, exact rational masses, not rounded observations: value 1 units with mass 1/4; value 3 units with mass 1/2; value 5 units with mass 1/4. Add masses of paths with the same value. Mean is the probability-weighted arithmetic mean; most probable compares aggregated value masses and allows ties. Here x = 4 units. No claim that the model is correct or guarantees a trial is supplied. Statement: 4 units is mean-outcome(D454).",
    "question": "Evaluate the claim, whether x can actually occur, whether x alone is most probable, and whether the next result is guaranteed to equal x.",
    "options": [
      "Claim true: yes; x possible: yes; x unique most probable: yes; next result guaranteed x: yes.",
      "Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: no.",
      "Claim true: yes; x possible: yes; x unique most probable: yes; next result guaranteed x: no.",
      "Claim true: yes; x possible: yes; x unique most probable: no; next result guaranteed x: yes.",
      "Claim true: yes; x possible: yes; x unique most probable: no; next result guaranteed x: no.",
      "Claim true: yes; x possible: no; x unique most probable: yes; next result guaranteed x: yes.",
      "Claim true: yes; x possible: no; x unique most probable: yes; next result guaranteed x: no.",
      "Claim true: yes; x possible: no; x unique most probable: no; next result guaranteed x: yes.",
      "Claim true: yes; x possible: no; x unique most probable: no; next result guaranteed x: no.",
      "Claim true: no; x possible: yes; x unique most probable: yes; next result guaranteed x: yes.",
      "Claim true: no; x possible: yes; x unique most probable: yes; next result guaranteed x: no.",
      "Claim true: no; x possible: yes; x unique most probable: no; next result guaranteed x: yes.",
      "Claim true: no; x possible: yes; x unique most probable: no; next result guaranteed x: no.",
      "Claim true: no; x possible: no; x unique most probable: yes; next result guaranteed x: yes.",
      "Claim true: no; x possible: no; x unique most probable: yes; next result guaranteed x: no.",
      "Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: yes."
    ],
    "answer": "Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: no.",
    "settlement_stratum": "mean-outcome",
    "domain": "queue delay",
    "boundary": "mean-is-mode",
    "variant": 1,
    "oracle": {
      "mean": "3",
      "modes": [
        "3"
      ],
      "value": "4",
      "flags": [
        false,
        false,
        false,
        false
      ],
      "masses": {
        "1": "1/4",
        "3": "1/2",
        "5": "1/4"
      }
    }
  },
  {
    "id": "outcome-careful-outcome-full-034",
    "english": "Shared definition supplied once for this stateless question: x is mean-outcome(D) asserts that x equals the probability-weighted arithmetic mean under D. x is likeliest-outcome(D) asserts that x has the highest aggregated outcome mass under D, with ties allowed. These definitions also govern the corresponding English phrases. They do not guarantee a trial result or certify the model. Fictional queue delay model D455, version v3 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive, exact rational masses, not rounded observations: value 2 units with mass 1/4; value 4 units with mass 1/2; value 6 units with mass 1/4. Add masses of paths with the same value. Mean is the probability-weighted arithmetic mean; most probable compares aggregated value masses and allows ties. Here x = 4 units. No claim that the model is correct or guarantees a trial is supplied. Statement: Under D455, the probability-weighted mean is 4 units.",
    "ainglish": "Shared definition supplied once for this stateless question: x is mean-outcome(D) asserts that x equals the probability-weighted arithmetic mean under D. x is likeliest-outcome(D) asserts that x has the highest aggregated outcome mass under D, with ties allowed. These definitions also govern the corresponding English phrases. They do not guarantee a trial result or certify the model. Fictional queue delay model D455, version v3 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive, exact rational masses, not rounded observations: value 2 units with mass 1/4; value 4 units with mass 1/2; value 6 units with mass 1/4. Add masses of paths with the same value. Mean is the probability-weighted arithmetic mean; most probable compares aggregated value masses and allows ties. Here x = 4 units. No claim that the model is correct or guarantees a trial is supplied. Statement: 4 units is mean-outcome(D455).",
    "question": "Evaluate the claim, whether x can actually occur, whether x alone is most probable, and whether the next result is guaranteed to equal x.",
    "options": [
      "Claim true: yes; x possible: yes; x unique most probable: yes; next result guaranteed x: yes.",
      "Claim true: yes; x possible: yes; x unique most probable: no; next result guaranteed x: yes.",
      "Claim true: yes; x possible: yes; x unique most probable: yes; next result guaranteed x: no.",
      "Claim true: yes; x possible: yes; x unique most probable: no; next result guaranteed x: no.",
      "Claim true: yes; x possible: no; x unique most probable: yes; next result guaranteed x: yes.",
      "Claim true: yes; x possible: no; x unique most probable: yes; next result guaranteed x: no.",
      "Claim true: yes; x possible: no; x unique most probable: no; next result guaranteed x: yes.",
      "Claim true: yes; x possible: no; x unique most probable: no; next result guaranteed x: no.",
      "Claim true: no; x possible: yes; x unique most probable: yes; next result guaranteed x: yes.",
      "Claim true: no; x possible: yes; x unique most probable: yes; next result guaranteed x: no.",
      "Claim true: no; x possible: yes; x unique most probable: no; next result guaranteed x: yes.",
      "Claim true: no; x possible: yes; x unique most probable: no; next result guaranteed x: no.",
      "Claim true: no; x possible: no; x unique most probable: yes; next result guaranteed x: yes.",
      "Claim true: no; x possible: no; x unique most probable: yes; next result guaranteed x: no.",
      "Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: yes.",
      "Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: no."
    ],
    "answer": "Claim true: yes; x possible: yes; x unique most probable: yes; next result guaranteed x: no.",
    "settlement_stratum": "mean-outcome",
    "domain": "queue delay",
    "boundary": "mean-is-mode",
    "variant": 2,
    "oracle": {
      "mean": "4",
      "modes": [
        "4"
      ],
      "value": "4",
      "flags": [
        true,
        true,
        true,
        false
      ],
      "masses": {
        "2": "1/4",
        "4": "1/2",
        "6": "1/4"
      }
    }
  },
  {
    "id": "outcome-careful-outcome-full-035",
    "english": "Shared definition supplied once for this stateless question: x is mean-outcome(D) asserts that x equals the probability-weighted arithmetic mean under D. x is likeliest-outcome(D) asserts that x has the highest aggregated outcome mass under D, with ties allowed. These definitions also govern the corresponding English phrases. They do not guarantee a trial result or certify the model. Fictional queue delay model D456, version v3 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive, exact rational masses, not rounded observations: value 3 units with mass 1/4; value 5 units with mass 1/2; value 7 units with mass 1/4. Add masses of paths with the same value. Mean is the probability-weighted arithmetic mean; most probable compares aggregated value masses and allows ties. Here x = 6 units. No claim that the model is correct or guarantees a trial is supplied. Statement: Under D456, the probability-weighted mean is 6 units.",
    "ainglish": "Shared definition supplied once for this stateless question: x is mean-outcome(D) asserts that x equals the probability-weighted arithmetic mean under D. x is likeliest-outcome(D) asserts that x has the highest aggregated outcome mass under D, with ties allowed. These definitions also govern the corresponding English phrases. They do not guarantee a trial result or certify the model. Fictional queue delay model D456, version v3 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive, exact rational masses, not rounded observations: value 3 units with mass 1/4; value 5 units with mass 1/2; value 7 units with mass 1/4. Add masses of paths with the same value. Mean is the probability-weighted arithmetic mean; most probable compares aggregated value masses and allows ties. Here x = 6 units. No claim that the model is correct or guarantees a trial is supplied. Statement: 6 units is mean-outcome(D456).",
    "question": "Evaluate the claim, whether x can actually occur, whether x alone is most probable, and whether the next result is guaranteed to equal x.",
    "options": [
      "Claim true: yes; x possible: yes; x unique most probable: yes; next result guaranteed x: yes.",
      "Claim true: yes; x possible: yes; x unique most probable: yes; next result guaranteed x: no.",
      "Claim true: yes; x possible: yes; x unique most probable: no; next result guaranteed x: yes.",
      "Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: no.",
      "Claim true: yes; x possible: yes; x unique most probable: no; next result guaranteed x: no.",
      "Claim true: yes; x possible: no; x unique most probable: yes; next result guaranteed x: yes.",
      "Claim true: yes; x possible: no; x unique most probable: yes; next result guaranteed x: no.",
      "Claim true: yes; x possible: no; x unique most probable: no; next result guaranteed x: yes.",
      "Claim true: yes; x possible: no; x unique most probable: no; next result guaranteed x: no.",
      "Claim true: no; x possible: yes; x unique most probable: yes; next result guaranteed x: yes.",
      "Claim true: no; x possible: yes; x unique most probable: yes; next result guaranteed x: no.",
      "Claim true: no; x possible: yes; x unique most probable: no; next result guaranteed x: yes.",
      "Claim true: no; x possible: yes; x unique most probable: no; next result guaranteed x: no.",
      "Claim true: no; x possible: no; x unique most probable: yes; next result guaranteed x: yes.",
      "Claim true: no; x possible: no; x unique most probable: yes; next result guaranteed x: no.",
      "Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: yes."
    ],
    "answer": "Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: no.",
    "settlement_stratum": "mean-outcome",
    "domain": "queue delay",
    "boundary": "mean-is-mode",
    "variant": 3,
    "oracle": {
      "mean": "5",
      "modes": [
        "5"
      ],
      "value": "6",
      "flags": [
        false,
        false,
        false,
        false
      ],
      "masses": {
        "3": "1/4",
        "5": "1/2",
        "7": "1/4"
      }
    }
  },
  {
    "id": "outcome-careful-outcome-full-036",
    "english": "Shared definition supplied once for this stateless question: x is mean-outcome(D) asserts that x equals the probability-weighted arithmetic mean under D. x is likeliest-outcome(D) asserts that x has the highest aggregated outcome mass under D, with ties allowed. These definitions also govern the corresponding English phrases. They do not guarantee a trial result or certify the model. Fictional queue delay model D457, version v3 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive, exact rational masses, not rounded observations: value 0 units with mass 1/5; value 4 units with mass 3/10; value 4 units with mass 3/10; value 8 units with mass 1/5. Add masses of paths with the same value. Mean is the probability-weighted arithmetic mean; most probable compares aggregated value masses and allows ties. Here x = 4 units. No claim that the model is correct or guarantees a trial is supplied. Statement: Under D457, the probability-weighted mean is 4 units.",
    "ainglish": "Shared definition supplied once for this stateless question: x is mean-outcome(D) asserts that x equals the probability-weighted arithmetic mean under D. x is likeliest-outcome(D) asserts that x has the highest aggregated outcome mass under D, with ties allowed. These definitions also govern the corresponding English phrases. They do not guarantee a trial result or certify the model. Fictional queue delay model D457, version v3 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive, exact rational masses, not rounded observations: value 0 units with mass 1/5; value 4 units with mass 3/10; value 4 units with mass 3/10; value 8 units with mass 1/5. Add masses of paths with the same value. Mean is the probability-weighted arithmetic mean; most probable compares aggregated value masses and allows ties. Here x = 4 units. No claim that the model is correct or guarantees a trial is supplied. Statement: 4 units is mean-outcome(D457).",
    "question": "Evaluate the claim, whether x can actually occur, whether x alone is most probable, and whether the next result is guaranteed to equal x.",
    "options": [
      "Claim true: yes; x possible: yes; x unique most probable: yes; next result guaranteed x: yes.",
      "Claim true: yes; x possible: yes; x unique most probable: no; next result guaranteed x: yes.",
      "Claim true: yes; x possible: yes; x unique most probable: no; next result guaranteed x: no.",
      "Claim true: yes; x possible: no; x unique most probable: yes; next result guaranteed x: yes.",
      "Claim true: yes; x possible: yes; x unique most probable: yes; next result guaranteed x: no.",
      "Claim true: yes; x possible: no; x unique most probable: yes; next result guaranteed x: no.",
      "Claim true: yes; x possible: no; x unique most probable: no; next result guaranteed x: yes.",
      "Claim true: yes; x possible: no; x unique most probable: no; next result guaranteed x: no.",
      "Claim true: no; x possible: yes; x unique most probable: yes; next result guaranteed x: yes.",
      "Claim true: no; x possible: yes; x unique most probable: yes; next result guaranteed x: no.",
      "Claim true: no; x possible: yes; x unique most probable: no; next result guaranteed x: yes.",
      "Claim true: no; x possible: yes; x unique most probable: no; next result guaranteed x: no.",
      "Claim true: no; x possible: no; x unique most probable: yes; next result guaranteed x: yes.",
      "Claim true: no; x possible: no; x unique most probable: yes; next result guaranteed x: no.",
      "Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: yes.",
      "Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: no."
    ],
    "answer": "Claim true: yes; x possible: yes; x unique most probable: yes; next result guaranteed x: no.",
    "settlement_stratum": "mean-outcome",
    "domain": "queue delay",
    "boundary": "aggregate-paths",
    "variant": 0,
    "oracle": {
      "mean": "4",
      "modes": [
        "4"
      ],
      "value": "4",
      "flags": [
        true,
        true,
        true,
        false
      ],
      "masses": {
        "0": "1/5",
        "4": "3/5",
        "8": "1/5"
      }
    }
  },
  {
    "id": "outcome-careful-outcome-full-037",
    "english": "Shared definition supplied once for this stateless question: x is mean-outcome(D) asserts that x equals the probability-weighted arithmetic mean under D. x is likeliest-outcome(D) asserts that x has the highest aggregated outcome mass under D, with ties allowed. These definitions also govern the corresponding English phrases. They do not guarantee a trial result or certify the model. Fictional queue delay model D458, version v3 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive, exact rational masses, not rounded observations: value 1 units with mass 1/5; value 5 units with mass 3/10; value 5 units with mass 3/10; value 9 units with mass 1/5. Add masses of paths with the same value. Mean is the probability-weighted arithmetic mean; most probable compares aggregated value masses and allows ties. Here x = 6 units. No claim that the model is correct or guarantees a trial is supplied. Statement: Under D458, the probability-weighted mean is 6 units.",
    "ainglish": "Shared definition supplied once for this stateless question: x is mean-outcome(D) asserts that x equals the probability-weighted arithmetic mean under D. x is likeliest-outcome(D) asserts that x has the highest aggregated outcome mass under D, with ties allowed. These definitions also govern the corresponding English phrases. They do not guarantee a trial result or certify the model. Fictional queue delay model D458, version v3 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive, exact rational masses, not rounded observations: value 1 units with mass 1/5; value 5 units with mass 3/10; value 5 units with mass 3/10; value 9 units with mass 1/5. Add masses of paths with the same value. Mean is the probability-weighted arithmetic mean; most probable compares aggregated value masses and allows ties. Here x = 6 units. No claim that the model is correct or guarantees a trial is supplied. Statement: 6 units is mean-outcome(D458).",
    "question": "Evaluate the claim, whether x can actually occur, whether x alone is most probable, and whether the next result is guaranteed to equal x.",
    "options": [
      "Claim true: yes; x possible: yes; x unique most probable: yes; next result guaranteed x: yes.",
      "Claim true: yes; x possible: yes; x unique most probable: yes; next result guaranteed x: no.",
      "Claim true: yes; x possible: yes; x unique most probable: no; next result guaranteed x: yes.",
      "Claim true: yes; x possible: yes; x unique most probable: no; next result guaranteed x: no.",
      "Claim true: yes; x possible: no; x unique most probable: yes; next result guaranteed x: yes.",
      "Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: no.",
      "Claim true: yes; x possible: no; x unique most probable: yes; next result guaranteed x: no.",
      "Claim true: yes; x possible: no; x unique most probable: no; next result guaranteed x: yes.",
      "Claim true: yes; x possible: no; x unique most probable: no; next result guaranteed x: no.",
      "Claim true: no; x possible: yes; x unique most probable: yes; next result guaranteed x: yes.",
      "Claim true: no; x possible: yes; x unique most probable: yes; next result guaranteed x: no.",
      "Claim true: no; x possible: yes; x unique most probable: no; next result guaranteed x: yes.",
      "Claim true: no; x possible: yes; x unique most probable: no; next result guaranteed x: no.",
      "Claim true: no; x possible: no; x unique most probable: yes; next result guaranteed x: yes.",
      "Claim true: no; x possible: no; x unique most probable: yes; next result guaranteed x: no.",
      "Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: yes."
    ],
    "answer": "Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: no.",
    "settlement_stratum": "mean-outcome",
    "domain": "queue delay",
    "boundary": "aggregate-paths",
    "variant": 1,
    "oracle": {
      "mean": "5",
      "modes": [
        "5"
      ],
      "value": "6",
      "flags": [
        false,
        false,
        false,
        false
      ],
      "masses": {
        "1": "1/5",
        "5": "3/5",
        "9": "1/5"
      }
    }
  },
  {
    "id": "outcome-careful-outcome-full-038",
    "english": "Shared definition supplied once for this stateless question: x is mean-outcome(D) asserts that x equals the probability-weighted arithmetic mean under D. x is likeliest-outcome(D) asserts that x has the highest aggregated outcome mass under D, with ties allowed. These definitions also govern the corresponding English phrases. They do not guarantee a trial result or certify the model. Fictional queue delay model D459, version v3 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive, exact rational masses, not rounded observations: value 2 units with mass 1/5; value 6 units with mass 3/10; value 6 units with mass 3/10; value 10 units with mass 1/5. Add masses of paths with the same value. Mean is the probability-weighted arithmetic mean; most probable compares aggregated value masses and allows ties. Here x = 6 units. No claim that the model is correct or guarantees a trial is supplied. Statement: Under D459, the probability-weighted mean is 6 units.",
    "ainglish": "Shared definition supplied once for this stateless question: x is mean-outcome(D) asserts that x equals the probability-weighted arithmetic mean under D. x is likeliest-outcome(D) asserts that x has the highest aggregated outcome mass under D, with ties allowed. These definitions also govern the corresponding English phrases. They do not guarantee a trial result or certify the model. Fictional queue delay model D459, version v3 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive, exact rational masses, not rounded observations: value 2 units with mass 1/5; value 6 units with mass 3/10; value 6 units with mass 3/10; value 10 units with mass 1/5. Add masses of paths with the same value. Mean is the probability-weighted arithmetic mean; most probable compares aggregated value masses and allows ties. Here x = 6 units. No claim that the model is correct or guarantees a trial is supplied. Statement: 6 units is mean-outcome(D459).",
    "question": "Evaluate the claim, whether x can actually occur, whether x alone is most probable, and whether the next result is guaranteed to equal x.",
    "options": [
      "Claim true: yes; x possible: yes; x unique most probable: yes; next result guaranteed x: yes.",
      "Claim true: yes; x possible: yes; x unique most probable: no; next result guaranteed x: yes.",
      "Claim true: yes; x possible: yes; x unique most probable: no; next result guaranteed x: no.",
      "Claim true: yes; x possible: no; x unique most probable: yes; next result guaranteed x: yes.",
      "Claim true: yes; x possible: no; x unique most probable: yes; next result guaranteed x: no.",
      "Claim true: yes; x possible: no; x unique most probable: no; next result guaranteed x: yes.",
      "Claim true: yes; x possible: yes; x unique most probable: yes; next result guaranteed x: no.",
      "Claim true: yes; x possible: no; x unique most probable: no; next result guaranteed x: no.",
      "Claim true: no; x possible: yes; x unique most probable: yes; next result guaranteed x: yes.",
      "Claim true: no; x possible: yes; x unique most probable: yes; next result guaranteed x: no.",
      "Claim true: no; x possible: yes; x unique most probable: no; next result guaranteed x: yes.",
      "Claim true: no; x possible: yes; x unique most probable: no; next result guaranteed x: no.",
      "Claim true: no; x possible: no; x unique most probable: yes; next result guaranteed x: yes.",
      "Claim true: no; x possible: no; x unique most probable: yes; next result guaranteed x: no.",
      "Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: yes.",
      "Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: no."
    ],
    "answer": "Claim true: yes; x possible: yes; x unique most probable: yes; next result guaranteed x: no.",
    "settlement_stratum": "mean-outcome",
    "domain": "queue delay",
    "boundary": "aggregate-paths",
    "variant": 2,
    "oracle": {
      "mean": "6",
      "modes": [
        "6"
      ],
      "value": "6",
      "flags": [
        true,
        true,
        true,
        false
      ],
      "masses": {
        "2": "1/5",
        "6": "3/5",
        "10": "1/5"
      }
    }
  },
  {
    "id": "outcome-careful-outcome-full-039",
    "english": "Shared definition supplied once for this stateless question: x is mean-outcome(D) asserts that x equals the probability-weighted arithmetic mean under D. x is likeliest-outcome(D) asserts that x has the highest aggregated outcome mass under D, with ties allowed. These definitions also govern the corresponding English phrases. They do not guarantee a trial result or certify the model. Fictional queue delay model D460, version v3 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive, exact rational masses, not rounded observations: value 3 units with mass 1/5; value 7 units with mass 3/10; value 7 units with mass 3/10; value 11 units with mass 1/5. Add masses of paths with the same value. Mean is the probability-weighted arithmetic mean; most probable compares aggregated value masses and allows ties. Here x = 8 units. No claim that the model is correct or guarantees a trial is supplied. Statement: Under D460, the probability-weighted mean is 8 units.",
    "ainglish": "Shared definition supplied once for this stateless question: x is mean-outcome(D) asserts that x equals the probability-weighted arithmetic mean under D. x is likeliest-outcome(D) asserts that x has the highest aggregated outcome mass under D, with ties allowed. These definitions also govern the corresponding English phrases. They do not guarantee a trial result or certify the model. Fictional queue delay model D460, version v3 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive, exact rational masses, not rounded observations: value 3 units with mass 1/5; value 7 units with mass 3/10; value 7 units with mass 3/10; value 11 units with mass 1/5. Add masses of paths with the same value. Mean is the probability-weighted arithmetic mean; most probable compares aggregated value masses and allows ties. Here x = 8 units. No claim that the model is correct or guarantees a trial is supplied. Statement: 8 units is mean-outcome(D460).",
    "question": "Evaluate the claim, whether x can actually occur, whether x alone is most probable, and whether the next result is guaranteed to equal x.",
    "options": [
      "Claim true: yes; x possible: yes; x unique most probable: yes; next result guaranteed x: yes.",
      "Claim true: yes; x possible: yes; x unique most probable: yes; next result guaranteed x: no.",
      "Claim true: yes; x possible: yes; x unique most probable: no; next result guaranteed x: yes.",
      "Claim true: yes; x possible: yes; x unique most probable: no; next result guaranteed x: no.",
      "Claim true: yes; x possible: no; x unique most probable: yes; next result guaranteed x: yes.",
      "Claim true: yes; x possible: no; x unique most probable: yes; next result guaranteed x: no.",
      "Claim true: yes; x possible: no; x unique most probable: no; next result guaranteed x: yes.",
      "Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: no.",
      "Claim true: yes; x possible: no; x unique most probable: no; next result guaranteed x: no.",
      "Claim true: no; x possible: yes; x unique most probable: yes; next result guaranteed x: yes.",
      "Claim true: no; x possible: yes; x unique most probable: yes; next result guaranteed x: no.",
      "Claim true: no; x possible: yes; x unique most probable: no; next result guaranteed x: yes.",
      "Claim true: no; x possible: yes; x unique most probable: no; next result guaranteed x: no.",
      "Claim true: no; x possible: no; x unique most probable: yes; next result guaranteed x: yes.",
      "Claim true: no; x possible: no; x unique most probable: yes; next result guaranteed x: no.",
      "Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: yes."
    ],
    "answer": "Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: no.",
    "settlement_stratum": "mean-outcome",
    "domain": "queue delay",
    "boundary": "aggregate-paths",
    "variant": 3,
    "oracle": {
      "mean": "7",
      "modes": [
        "7"
      ],
      "value": "8",
      "flags": [
        false,
        false,
        false,
        false
      ],
      "masses": {
        "3": "1/5",
        "7": "3/5",
        "11": "1/5"
      }
    }
  },
  {
    "id": "outcome-careful-outcome-full-040",
    "english": "Shared definition supplied once for this stateless question: x is mean-outcome(D) asserts that x equals the probability-weighted arithmetic mean under D. x is likeliest-outcome(D) asserts that x has the highest aggregated outcome mass under D, with ties allowed. These definitions also govern the corresponding English phrases. They do not guarantee a trial result or certify the model. Fictional retry count model D461, version v3 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive, exact rational masses, not rounded observations: value 0 units with mass 1/2; value 6 units with mass 1/2. Add masses of paths with the same value. Mean is the probability-weighted arithmetic mean; most probable compares aggregated value masses and allows ties. Here x = 3 units. No claim that the model is correct or guarantees a trial is supplied. Statement: Under D461, the probability-weighted mean is 3 units.",
    "ainglish": "Shared definition supplied once for this stateless question: x is mean-outcome(D) asserts that x equals the probability-weighted arithmetic mean under D. x is likeliest-outcome(D) asserts that x has the highest aggregated outcome mass under D, with ties allowed. These definitions also govern the corresponding English phrases. They do not guarantee a trial result or certify the model. Fictional retry count model D461, version v3 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive, exact rational masses, not rounded observations: value 0 units with mass 1/2; value 6 units with mass 1/2. Add masses of paths with the same value. Mean is the probability-weighted arithmetic mean; most probable compares aggregated value masses and allows ties. Here x = 3 units. No claim that the model is correct or guarantees a trial is supplied. Statement: 3 units is mean-outcome(D461).",
    "question": "Evaluate the claim, whether x can actually occur, whether x alone is most probable, and whether the next result is guaranteed to equal x.",
    "options": [
      "Claim true: yes; x possible: yes; x unique most probable: yes; next result guaranteed x: yes.",
      "Claim true: yes; x possible: yes; x unique most probable: yes; next result guaranteed x: no.",
      "Claim true: yes; x possible: yes; x unique most probable: no; next result guaranteed x: yes.",
      "Claim true: yes; x possible: yes; x unique most probable: no; next result guaranteed x: no.",
      "Claim true: yes; x possible: no; x unique most probable: yes; next result guaranteed x: yes.",
      "Claim true: yes; x possible: no; x unique most probable: yes; next result guaranteed x: no.",
      "Claim true: yes; x possible: no; x unique most probable: no; next result guaranteed x: yes.",
      "Claim true: no; x possible: yes; x unique most probable: yes; next result guaranteed x: yes.",
      "Claim true: yes; x possible: no; x unique most probable: no; next result guaranteed x: no.",
      "Claim true: no; x possible: yes; x unique most probable: yes; next result guaranteed x: no.",
      "Claim true: no; x possible: yes; x unique most probable: no; next result guaranteed x: yes.",
      "Claim true: no; x possible: yes; x unique most probable: no; next result guaranteed x: no.",
      "Claim true: no; x possible: no; x unique most probable: yes; next result guaranteed x: yes.",
      "Claim true: no; x possible: no; x unique most probable: yes; next result guaranteed x: no.",
      "Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: yes.",
      "Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: no."
    ],
    "answer": "Claim true: yes; x possible: no; x unique most probable: no; next result guaranteed x: no.",
    "settlement_stratum": "mean-outcome",
    "domain": "retry count",
    "boundary": "mean-outside",
    "variant": 0,
    "oracle": {
      "mean": "3",
      "modes": [
        "0",
        "6"
      ],
      "value": "3",
      "flags": [
        true,
        false,
        false,
        false
      ],
      "masses": {
        "0": "1/2",
        "6": "1/2"
      }
    }
  },
  {
    "id": "outcome-careful-outcome-full-041",
    "english": "Shared definition supplied once for this stateless question: x is mean-outcome(D) asserts that x equals the probability-weighted arithmetic mean under D. x is likeliest-outcome(D) asserts that x has the highest aggregated outcome mass under D, with ties allowed. These definitions also govern the corresponding English phrases. They do not guarantee a trial result or certify the model. Fictional retry count model D462, version v3 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive, exact rational masses, not rounded observations: value 1 units with mass 1/2; value 7 units with mass 1/2. Add masses of paths with the same value. Mean is the probability-weighted arithmetic mean; most probable compares aggregated value masses and allows ties. Here x = 5 units. No claim that the model is correct or guarantees a trial is supplied. Statement: Under D462, the probability-weighted mean is 5 units.",
    "ainglish": "Shared definition supplied once for this stateless question: x is mean-outcome(D) asserts that x equals the probability-weighted arithmetic mean under D. x is likeliest-outcome(D) asserts that x has the highest aggregated outcome mass under D, with ties allowed. These definitions also govern the corresponding English phrases. They do not guarantee a trial result or certify the model. Fictional retry count model D462, version v3 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive, exact rational masses, not rounded observations: value 1 units with mass 1/2; value 7 units with mass 1/2. Add masses of paths with the same value. Mean is the probability-weighted arithmetic mean; most probable compares aggregated value masses and allows ties. Here x = 5 units. No claim that the model is correct or guarantees a trial is supplied. Statement: 5 units is mean-outcome(D462).",
    "question": "Evaluate the claim, whether x can actually occur, whether x alone is most probable, and whether the next result is guaranteed to equal x.",
    "options": [
      "Claim true: yes; x possible: yes; x unique most probable: yes; next result guaranteed x: yes.",
      "Claim true: yes; x possible: yes; x unique most probable: yes; next result guaranteed x: no.",
      "Claim true: yes; x possible: yes; x unique most probable: no; next result guaranteed x: yes.",
      "Claim true: yes; x possible: yes; x unique most probable: no; next result guaranteed x: no.",
      "Claim true: yes; x possible: no; x unique most probable: yes; next result guaranteed x: yes.",
      "Claim true: yes; x possible: no; x unique most probable: yes; next result guaranteed x: no.",
      "Claim true: yes; x possible: no; x unique most probable: no; next result guaranteed x: yes.",
      "Claim true: yes; x possible: no; x unique most probable: no; next result guaranteed x: no.",
      "Claim true: no; x possible: yes; x unique most probable: yes; next result guaranteed x: yes.",
      "Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: no.",
      "Claim true: no; x possible: yes; x unique most probable: yes; next result guaranteed x: no.",
      "Claim true: no; x possible: yes; x unique most probable: no; next result guaranteed x: yes.",
      "Claim true: no; x possible: yes; x unique most probable: no; next result guaranteed x: no.",
      "Claim true: no; x possible: no; x unique most probable: yes; next result guaranteed x: yes.",
      "Claim true: no; x possible: no; x unique most probable: yes; next result guaranteed x: no.",
      "Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: yes."
    ],
    "answer": "Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: no.",
    "settlement_stratum": "mean-outcome",
    "domain": "retry count",
    "boundary": "mean-outside",
    "variant": 1,
    "oracle": {
      "mean": "4",
      "modes": [
        "1",
        "7"
      ],
      "value": "5",
      "flags": [
        false,
        false,
        false,
        false
      ],
      "masses": {
        "1": "1/2",
        "7": "1/2"
      }
    }
  },
  {
    "id": "outcome-careful-outcome-full-042",
    "english": "Shared definition supplied once for this stateless question: x is mean-outcome(D) asserts that x equals the probability-weighted arithmetic mean under D. x is likeliest-outcome(D) asserts that x has the highest aggregated outcome mass under D, with ties allowed. These definitions also govern the corresponding English phrases. They do not guarantee a trial result or certify the model. Fictional retry count model D463, version v3 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive, exact rational masses, not rounded observations: value 2 units with mass 1/2; value 8 units with mass 1/2. Add masses of paths with the same value. Mean is the probability-weighted arithmetic mean; most probable compares aggregated value masses and allows ties. Here x = 5 units. No claim that the model is correct or guarantees a trial is supplied. Statement: Under D463, the probability-weighted mean is 5 units.",
    "ainglish": "Shared definition supplied once for this stateless question: x is mean-outcome(D) asserts that x equals the probability-weighted arithmetic mean under D. x is likeliest-outcome(D) asserts that x has the highest aggregated outcome mass under D, with ties allowed. These definitions also govern the corresponding English phrases. They do not guarantee a trial result or certify the model. Fictional retry count model D463, version v3 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive, exact rational masses, not rounded observations: value 2 units with mass 1/2; value 8 units with mass 1/2. Add masses of paths with the same value. Mean is the probability-weighted arithmetic mean; most probable compares aggregated value masses and allows ties. Here x = 5 units. No claim that the model is correct or guarantees a trial is supplied. Statement: 5 units is mean-outcome(D463).",
    "question": "Evaluate the claim, whether x can actually occur, whether x alone is most probable, and whether the next result is guaranteed to equal x.",
    "options": [
      "Claim true: yes; x possible: yes; x unique most probable: yes; next result guaranteed x: yes.",
      "Claim true: yes; x possible: yes; x unique most probable: yes; next result guaranteed x: no.",
      "Claim true: yes; x possible: yes; x unique most probable: no; next result guaranteed x: yes.",
      "Claim true: yes; x possible: yes; x unique most probable: no; next result guaranteed x: no.",
      "Claim true: yes; x possible: no; x unique most probable: yes; next result guaranteed x: yes.",
      "Claim true: yes; x possible: no; x unique most probable: yes; next result guaranteed x: no.",
      "Claim true: yes; x possible: no; x unique most probable: no; next result guaranteed x: yes.",
      "Claim true: no; x possible: yes; x unique most probable: yes; next result guaranteed x: yes.",
      "Claim true: no; x possible: yes; x unique most probable: yes; next result guaranteed x: no.",
      "Claim true: no; x possible: yes; x unique most probable: no; next result guaranteed x: yes.",
      "Claim true: yes; x possible: no; x unique most probable: no; next result guaranteed x: no.",
      "Claim true: no; x possible: yes; x unique most probable: no; next result guaranteed x: no.",
      "Claim true: no; x possible: no; x unique most probable: yes; next result guaranteed x: yes.",
      "Claim true: no; x possible: no; x unique most probable: yes; next result guaranteed x: no.",
      "Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: yes.",
      "Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: no."
    ],
    "answer": "Claim true: yes; x possible: no; x unique most probable: no; next result guaranteed x: no.",
    "settlement_stratum": "mean-outcome",
    "domain": "retry count",
    "boundary": "mean-outside",
    "variant": 2,
    "oracle": {
      "mean": "5",
      "modes": [
        "2",
        "8"
      ],
      "value": "5",
      "flags": [
        true,
        false,
        false,
        false
      ],
      "masses": {
        "2": "1/2",
        "8": "1/2"
      }
    }
  },
  {
    "id": "outcome-careful-outcome-full-043",
    "english": "Shared definition supplied once for this stateless question: x is mean-outcome(D) asserts that x equals the probability-weighted arithmetic mean under D. x is likeliest-outcome(D) asserts that x has the highest aggregated outcome mass under D, with ties allowed. These definitions also govern the corresponding English phrases. They do not guarantee a trial result or certify the model. Fictional retry count model D464, version v3 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive, exact rational masses, not rounded observations: value 3 units with mass 1/2; value 9 units with mass 1/2. Add masses of paths with the same value. Mean is the probability-weighted arithmetic mean; most probable compares aggregated value masses and allows ties. Here x = 7 units. No claim that the model is correct or guarantees a trial is supplied. Statement: Under D464, the probability-weighted mean is 7 units.",
    "ainglish": "Shared definition supplied once for this stateless question: x is mean-outcome(D) asserts that x equals the probability-weighted arithmetic mean under D. x is likeliest-outcome(D) asserts that x has the highest aggregated outcome mass under D, with ties allowed. These definitions also govern the corresponding English phrases. They do not guarantee a trial result or certify the model. Fictional retry count model D464, version v3 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive, exact rational masses, not rounded observations: value 3 units with mass 1/2; value 9 units with mass 1/2. Add masses of paths with the same value. Mean is the probability-weighted arithmetic mean; most probable compares aggregated value masses and allows ties. Here x = 7 units. No claim that the model is correct or guarantees a trial is supplied. Statement: 7 units is mean-outcome(D464).",
    "question": "Evaluate the claim, whether x can actually occur, whether x alone is most probable, and whether the next result is guaranteed to equal x.",
    "options": [
      "Claim true: yes; x possible: yes; x unique most probable: yes; next result guaranteed x: yes.",
      "Claim true: yes; x possible: yes; x unique most probable: yes; next result guaranteed x: no.",
      "Claim true: yes; x possible: yes; x unique most probable: no; next result guaranteed x: yes.",
      "Claim true: yes; x possible: yes; x unique most probable: no; next result guaranteed x: no.",
      "Claim true: yes; x possible: no; x unique most probable: yes; next result guaranteed x: yes.",
      "Claim true: yes; x possible: no; x unique most probable: yes; next result guaranteed x: no.",
      "Claim true: yes; x possible: no; x unique most probable: no; next result guaranteed x: yes.",
      "Claim true: yes; x possible: no; x unique most probable: no; next result guaranteed x: no.",
      "Claim true: no; x possible: yes; x unique most probable: yes; next result guaranteed x: yes.",
      "Claim true: no; x possible: yes; x unique most probable: yes; next result guaranteed x: no.",
      "Claim true: no; x possible: yes; x unique most probable: no; next result guaranteed x: yes.",
      "Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: no.",
      "Claim true: no; x possible: yes; x unique most probable: no; next result guaranteed x: no.",
      "Claim true: no; x possible: no; x unique most probable: yes; next result guaranteed x: yes.",
      "Claim true: no; x possible: no; x unique most probable: yes; next result guaranteed x: no.",
      "Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: yes."
    ],
    "answer": "Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: no.",
    "settlement_stratum": "mean-outcome",
    "domain": "retry count",
    "boundary": "mean-outside",
    "variant": 3,
    "oracle": {
      "mean": "6",
      "modes": [
        "3",
        "9"
      ],
      "value": "7",
      "flags": [
        false,
        false,
        false,
        false
      ],
      "masses": {
        "3": "1/2",
        "9": "1/2"
      }
    }
  },
  {
    "id": "outcome-careful-outcome-full-044",
    "english": "Shared definition supplied once for this stateless question: x is mean-outcome(D) asserts that x equals the probability-weighted arithmetic mean under D. x is likeliest-outcome(D) asserts that x has the highest aggregated outcome mass under D, with ties allowed. These definitions also govern the corresponding English phrases. They do not guarantee a trial result or certify the model. Fictional retry count model D465, version v3 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive, exact rational masses, not rounded observations: value 0 units with mass 2/5; value 2 units with mass 3/10; value 5 units with mass 3/10. Add masses of paths with the same value. Mean is the probability-weighted arithmetic mean; most probable compares aggregated value masses and allows ties. Here x = 21/10 units. No claim that the model is correct or guarantees a trial is supplied. Statement: Under D465, the probability-weighted mean is 21/10 units.",
    "ainglish": "Shared definition supplied once for this stateless question: x is mean-outcome(D) asserts that x equals the probability-weighted arithmetic mean under D. x is likeliest-outcome(D) asserts that x has the highest aggregated outcome mass under D, with ties allowed. These definitions also govern the corresponding English phrases. They do not guarantee a trial result or certify the model. Fictional retry count model D465, version v3 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive, exact rational masses, not rounded observations: value 0 units with mass 2/5; value 2 units with mass 3/10; value 5 units with mass 3/10. Add masses of paths with the same value. Mean is the probability-weighted arithmetic mean; most probable compares aggregated value masses and allows ties. Here x = 21/10 units. No claim that the model is correct or guarantees a trial is supplied. Statement: 21/10 units is mean-outcome(D465).",
    "question": "Evaluate the claim, whether x can actually occur, whether x alone is most probable, and whether the next result is guaranteed to equal x.",
    "options": [
      "Claim true: yes; x possible: yes; x unique most probable: yes; next result guaranteed x: yes.",
      "Claim true: yes; x possible: yes; x unique most probable: yes; next result guaranteed x: no.",
      "Claim true: yes; x possible: yes; x unique most probable: no; next result guaranteed x: yes.",
      "Claim true: yes; x possible: yes; x unique most probable: no; next result guaranteed x: no.",
      "Claim true: yes; x possible: no; x unique most probable: yes; next result guaranteed x: yes.",
      "Claim true: yes; x possible: no; x unique most probable: yes; next result guaranteed x: no.",
      "Claim true: yes; x possible: no; x unique most probable: no; next result guaranteed x: yes.",
      "Claim true: no; x possible: yes; x unique most probable: yes; next result guaranteed x: yes.",
      "Claim true: no; x possible: yes; x unique most probable: yes; next result guaranteed x: no.",
      "Claim true: no; x possible: yes; x unique most probable: no; next result guaranteed x: yes.",
      "Claim true: no; x possible: yes; x unique most probable: no; next result guaranteed x: no.",
      "Claim true: no; x possible: no; x unique most probable: yes; next result guaranteed x: yes.",
      "Claim true: yes; x possible: no; x unique most probable: no; next result guaranteed x: no.",
      "Claim true: no; x possible: no; x unique most probable: yes; next result guaranteed x: no.",
      "Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: yes.",
      "Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: no."
    ],
    "answer": "Claim true: yes; x possible: no; x unique most probable: no; next result guaranteed x: no.",
    "settlement_stratum": "mean-outcome",
    "domain": "retry count",
    "boundary": "mode-below-half",
    "variant": 0,
    "oracle": {
      "mean": "21/10",
      "modes": [
        "0"
      ],
      "value": "21/10",
      "flags": [
        true,
        false,
        false,
        false
      ],
      "masses": {
        "0": "2/5",
        "2": "3/10",
        "5": "3/10"
      }
    }
  },
  {
    "id": "outcome-careful-outcome-full-045",
    "english": "Shared definition supplied once for this stateless question: x is mean-outcome(D) asserts that x equals the probability-weighted arithmetic mean under D. x is likeliest-outcome(D) asserts that x has the highest aggregated outcome mass under D, with ties allowed. These definitions also govern the corresponding English phrases. They do not guarantee a trial result or certify the model. Fictional retry count model D466, version v3 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive, exact rational masses, not rounded observations: value 1 units with mass 2/5; value 3 units with mass 3/10; value 6 units with mass 3/10. Add masses of paths with the same value. Mean is the probability-weighted arithmetic mean; most probable compares aggregated value masses and allows ties. Here x = 41/10 units. No claim that the model is correct or guarantees a trial is supplied. Statement: Under D466, the probability-weighted mean is 41/10 units.",
    "ainglish": "Shared definition supplied once for this stateless question: x is mean-outcome(D) asserts that x equals the probability-weighted arithmetic mean under D. x is likeliest-outcome(D) asserts that x has the highest aggregated outcome mass under D, with ties allowed. These definitions also govern the corresponding English phrases. They do not guarantee a trial result or certify the model. Fictional retry count model D466, version v3 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive, exact rational masses, not rounded observations: value 1 units with mass 2/5; value 3 units with mass 3/10; value 6 units with mass 3/10. Add masses of paths with the same value. Mean is the probability-weighted arithmetic mean; most probable compares aggregated value masses and allows ties. Here x = 41/10 units. No claim that the model is correct or guarantees a trial is supplied. Statement: 41/10 units is mean-outcome(D466).",
    "question": "Evaluate the claim, whether x can actually occur, whether x alone is most probable, and whether the next result is guaranteed to equal x.",
    "options": [
      "Claim true: yes; x possible: yes; x unique most probable: yes; next result guaranteed x: yes.",
      "Claim true: yes; x possible: yes; x unique most probable: yes; next result guaranteed x: no.",
      "Claim true: yes; x possible: yes; x unique most probable: no; next result guaranteed x: yes.",
      "Claim true: yes; x possible: yes; x unique most probable: no; next result guaranteed x: no.",
      "Claim true: yes; x possible: no; x unique most probable: yes; next result guaranteed x: yes.",
      "Claim true: yes; x possible: no; x unique most probable: yes; next result guaranteed x: no.",
      "Claim true: yes; x possible: no; x unique most probable: no; next result guaranteed x: yes.",
      "Claim true: yes; x possible: no; x unique most probable: no; next result guaranteed x: no.",
      "Claim true: no; x possible: yes; x unique most probable: yes; next result guaranteed x: yes.",
      "Claim true: no; x possible: yes; x unique most probable: yes; next result guaranteed x: no.",
      "Claim true: no; x possible: yes; x unique most probable: no; next result guaranteed x: yes.",
      "Claim true: no; x possible: yes; x unique most probable: no; next result guaranteed x: no.",
      "Claim true: no; x possible: no; x unique most probable: yes; next result guaranteed x: yes.",
      "Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: no.",
      "Claim true: no; x possible: no; x unique most probable: yes; next result guaranteed x: no.",
      "Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: yes."
    ],
    "answer": "Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: no.",
    "settlement_stratum": "mean-outcome",
    "domain": "retry count",
    "boundary": "mode-below-half",
    "variant": 1,
    "oracle": {
      "mean": "31/10",
      "modes": [
        "1"
      ],
      "value": "41/10",
      "flags": [
        false,
        false,
        false,
        false
      ],
      "masses": {
        "1": "2/5",
        "3": "3/10",
        "6": "3/10"
      }
    }
  },
  {
    "id": "outcome-careful-outcome-full-046",
    "english": "Shared definition supplied once for this stateless question: x is mean-outcome(D) asserts that x equals the probability-weighted arithmetic mean under D. x is likeliest-outcome(D) asserts that x has the highest aggregated outcome mass under D, with ties allowed. These definitions also govern the corresponding English phrases. They do not guarantee a trial result or certify the model. Fictional retry count model D467, version v3 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive, exact rational masses, not rounded observations: value 2 units with mass 2/5; value 4 units with mass 3/10; value 7 units with mass 3/10. Add masses of paths with the same value. Mean is the probability-weighted arithmetic mean; most probable compares aggregated value masses and allows ties. Here x = 41/10 units. No claim that the model is correct or guarantees a trial is supplied. Statement: Under D467, the probability-weighted mean is 41/10 units.",
    "ainglish": "Shared definition supplied once for this stateless question: x is mean-outcome(D) asserts that x equals the probability-weighted arithmetic mean under D. x is likeliest-outcome(D) asserts that x has the highest aggregated outcome mass under D, with ties allowed. These definitions also govern the corresponding English phrases. They do not guarantee a trial result or certify the model. Fictional retry count model D467, version v3 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive, exact rational masses, not rounded observations: value 2 units with mass 2/5; value 4 units with mass 3/10; value 7 units with mass 3/10. Add masses of paths with the same value. Mean is the probability-weighted arithmetic mean; most probable compares aggregated value masses and allows ties. Here x = 41/10 units. No claim that the model is correct or guarantees a trial is supplied. Statement: 41/10 units is mean-outcome(D467).",
    "question": "Evaluate the claim, whether x can actually occur, whether x alone is most probable, and whether the next result is guaranteed to equal x.",
    "options": [
      "Claim true: yes; x possible: yes; x unique most probable: yes; next result guaranteed x: yes.",
      "Claim true: yes; x possible: yes; x unique most probable: yes; next result guaranteed x: no.",
      "Claim true: yes; x possible: yes; x unique most probable: no; next result guaranteed x: yes.",
      "Claim true: yes; x possible: yes; x unique most probable: no; next result guaranteed x: no.",
      "Claim true: yes; x possible: no; x unique most probable: yes; next result guaranteed x: yes.",
      "Claim true: yes; x possible: no; x unique most probable: yes; next result guaranteed x: no.",
      "Claim true: yes; x possible: no; x unique most probable: no; next result guaranteed x: yes.",
      "Claim true: no; x possible: yes; x unique most probable: yes; next result guaranteed x: yes.",
      "Claim true: no; x possible: yes; x unique most probable: yes; next result guaranteed x: no.",
      "Claim true: no; x possible: yes; x unique most probable: no; next result guaranteed x: yes.",
      "Claim true: no; x possible: yes; x unique most probable: no; next result guaranteed x: no.",
      "Claim true: no; x possible: no; x unique most probable: yes; next result guaranteed x: yes.",
      "Claim true: no; x possible: no; x unique most probable: yes; next result guaranteed x: no.",
      "Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: yes.",
      "Claim true: yes; x possible: no; x unique most probable: no; next result guaranteed x: no.",
      "Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: no."
    ],
    "answer": "Claim true: yes; x possible: no; x unique most probable: no; next result guaranteed x: no.",
    "settlement_stratum": "mean-outcome",
    "domain": "retry count",
    "boundary": "mode-below-half",
    "variant": 2,
    "oracle": {
      "mean": "41/10",
      "modes": [
        "2"
      ],
      "value": "41/10",
      "flags": [
        true,
        false,
        false,
        false
      ],
      "masses": {
        "2": "2/5",
        "4": "3/10",
        "7": "3/10"
      }
    }
  },
  {
    "id": "outcome-careful-outcome-full-047",
    "english": "Shared definition supplied once for this stateless question: x is mean-outcome(D) asserts that x equals the probability-weighted arithmetic mean under D. x is likeliest-outcome(D) asserts that x has the highest aggregated outcome mass under D, with ties allowed. These definitions also govern the corresponding English phrases. They do not guarantee a trial result or certify the model. Fictional retry count model D468, version v3 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive, exact rational masses, not rounded observations: value 3 units with mass 2/5; value 5 units with mass 3/10; value 8 units with mass 3/10. Add masses of paths with the same value. Mean is the probability-weighted arithmetic mean; most probable compares aggregated value masses and allows ties. Here x = 61/10 units. No claim that the model is correct or guarantees a trial is supplied. Statement: Under D468, the probability-weighted mean is 61/10 units.",
    "ainglish": "Shared definition supplied once for this stateless question: x is mean-outcome(D) asserts that x equals the probability-weighted arithmetic mean under D. x is likeliest-outcome(D) asserts that x has the highest aggregated outcome mass under D, with ties allowed. These definitions also govern the corresponding English phrases. They do not guarantee a trial result or certify the model. Fictional retry count model D468, version v3 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive, exact rational masses, not rounded observations: value 3 units with mass 2/5; value 5 units with mass 3/10; value 8 units with mass 3/10. Add masses of paths with the same value. Mean is the probability-weighted arithmetic mean; most probable compares aggregated value masses and allows ties. Here x = 61/10 units. No claim that the model is correct or guarantees a trial is supplied. Statement: 61/10 units is mean-outcome(D468).",
    "question": "Evaluate the claim, whether x can actually occur, whether x alone is most probable, and whether the next result is guaranteed to equal x.",
    "options": [
      "Claim true: yes; x possible: yes; x unique most probable: yes; next result guaranteed x: yes.",
      "Claim true: yes; x possible: yes; x unique most probable: yes; next result guaranteed x: no.",
      "Claim true: yes; x possible: yes; x unique most probable: no; next result guaranteed x: yes.",
      "Claim true: yes; x possible: yes; x unique most probable: no; next result guaranteed x: no.",
      "Claim true: yes; x possible: no; x unique most probable: yes; next result guaranteed x: yes.",
      "Claim true: yes; x possible: no; x unique most probable: yes; next result guaranteed x: no.",
      "Claim true: yes; x possible: no; x unique most probable: no; next result guaranteed x: yes.",
      "Claim true: yes; x possible: no; x unique most probable: no; next result guaranteed x: no.",
      "Claim true: no; x possible: yes; x unique most probable: yes; next result guaranteed x: yes.",
      "Claim true: no; x possible: yes; x unique most probable: yes; next result guaranteed x: no.",
      "Claim true: no; x possible: yes; x unique most probable: no; next result guaranteed x: yes.",
      "Claim true: no; x possible: yes; x unique most probable: no; next result guaranteed x: no.",
      "Claim true: no; x possible: no; x unique most probable: yes; next result guaranteed x: yes.",
      "Claim true: no; x possible: no; x unique most probable: yes; next result guaranteed x: no.",
      "Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: yes.",
      "Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: no."
    ],
    "answer": "Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: no.",
    "settlement_stratum": "mean-outcome",
    "domain": "retry count",
    "boundary": "mode-below-half",
    "variant": 3,
    "oracle": {
      "mean": "51/10",
      "modes": [
        "3"
      ],
      "value": "61/10",
      "flags": [
        false,
        false,
        false,
        false
      ],
      "masses": {
        "3": "2/5",
        "5": "3/10",
        "8": "3/10"
      }
    }
  },
  {
    "id": "outcome-careful-outcome-full-048",
    "english": "Shared definition supplied once for this stateless question: x is mean-outcome(D) asserts that x equals the probability-weighted arithmetic mean under D. x is likeliest-outcome(D) asserts that x has the highest aggregated outcome mass under D, with ties allowed. These definitions also govern the corresponding English phrases. They do not guarantee a trial result or certify the model. Fictional retry count model D469, version v3 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive, exact rational masses, not rounded observations: value 1 units with mass 2/5; value 3 units with mass 2/5; value 7 units with mass 1/5. Add masses of paths with the same value. Mean is the probability-weighted arithmetic mean; most probable compares aggregated value masses and allows ties. Here x = 3 units. No claim that the model is correct or guarantees a trial is supplied. Statement: Under D469, the probability-weighted mean is 3 units.",
    "ainglish": "Shared definition supplied once for this stateless question: x is mean-outcome(D) asserts that x equals the probability-weighted arithmetic mean under D. x is likeliest-outcome(D) asserts that x has the highest aggregated outcome mass under D, with ties allowed. These definitions also govern the corresponding English phrases. They do not guarantee a trial result or certify the model. Fictional retry count model D469, version v3 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive, exact rational masses, not rounded observations: value 1 units with mass 2/5; value 3 units with mass 2/5; value 7 units with mass 1/5. Add masses of paths with the same value. Mean is the probability-weighted arithmetic mean; most probable compares aggregated value masses and allows ties. Here x = 3 units. No claim that the model is correct or guarantees a trial is supplied. Statement: 3 units is mean-outcome(D469).",
    "question": "Evaluate the claim, whether x can actually occur, whether x alone is most probable, and whether the next result is guaranteed to equal x.",
    "options": [
      "Claim true: yes; x possible: yes; x unique most probable: no; next result guaranteed x: no.",
      "Claim true: yes; x possible: yes; x unique most probable: yes; next result guaranteed x: yes.",
      "Claim true: yes; x possible: yes; x unique most probable: yes; next result guaranteed x: no.",
      "Claim true: yes; x possible: yes; x unique most probable: no; next result guaranteed x: yes.",
      "Claim true: yes; x possible: no; x unique most probable: yes; next result guaranteed x: yes.",
      "Claim true: yes; x possible: no; x unique most probable: yes; next result guaranteed x: no.",
      "Claim true: yes; x possible: no; x unique most probable: no; next result guaranteed x: yes.",
      "Claim true: yes; x possible: no; x unique most probable: no; next result guaranteed x: no.",
      "Claim true: no; x possible: yes; x unique most probable: yes; next result guaranteed x: yes.",
      "Claim true: no; x possible: yes; x unique most probable: yes; next result guaranteed x: no.",
      "Claim true: no; x possible: yes; x unique most probable: no; next result guaranteed x: yes.",
      "Claim true: no; x possible: yes; x unique most probable: no; next result guaranteed x: no.",
      "Claim true: no; x possible: no; x unique most probable: yes; next result guaranteed x: yes.",
      "Claim true: no; x possible: no; x unique most probable: yes; next result guaranteed x: no.",
      "Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: yes.",
      "Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: no."
    ],
    "answer": "Claim true: yes; x possible: yes; x unique most probable: no; next result guaranteed x: no.",
    "settlement_stratum": "mean-outcome",
    "domain": "retry count",
    "boundary": "tied-modes",
    "variant": 0,
    "oracle": {
      "mean": "3",
      "modes": [
        "1",
        "3"
      ],
      "value": "3",
      "flags": [
        true,
        true,
        false,
        false
      ],
      "masses": {
        "1": "2/5",
        "3": "2/5",
        "7": "1/5"
      }
    }
  },
  {
    "id": "outcome-careful-outcome-full-049",
    "english": "Shared definition supplied once for this stateless question: x is mean-outcome(D) asserts that x equals the probability-weighted arithmetic mean under D. x is likeliest-outcome(D) asserts that x has the highest aggregated outcome mass under D, with ties allowed. These definitions also govern the corresponding English phrases. They do not guarantee a trial result or certify the model. Fictional retry count model D470, version v3 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive, exact rational masses, not rounded observations: value 2 units with mass 2/5; value 4 units with mass 2/5; value 8 units with mass 1/5. Add masses of paths with the same value. Mean is the probability-weighted arithmetic mean; most probable compares aggregated value masses and allows ties. Here x = 5 units. No claim that the model is correct or guarantees a trial is supplied. Statement: Under D470, the probability-weighted mean is 5 units.",
    "ainglish": "Shared definition supplied once for this stateless question: x is mean-outcome(D) asserts that x equals the probability-weighted arithmetic mean under D. x is likeliest-outcome(D) asserts that x has the highest aggregated outcome mass under D, with ties allowed. These definitions also govern the corresponding English phrases. They do not guarantee a trial result or certify the model. Fictional retry count model D470, version v3 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive, exact rational masses, not rounded observations: value 2 units with mass 2/5; value 4 units with mass 2/5; value 8 units with mass 1/5. Add masses of paths with the same value. Mean is the probability-weighted arithmetic mean; most probable compares aggregated value masses and allows ties. Here x = 5 units. No claim that the model is correct or guarantees a trial is supplied. Statement: 5 units is mean-outcome(D470).",
    "question": "Evaluate the claim, whether x can actually occur, whether x alone is most probable, and whether the next result is guaranteed to equal x.",
    "options": [
      "Claim true: yes; x possible: yes; x unique most probable: yes; next result guaranteed x: yes.",
      "Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: no.",
      "Claim true: yes; x possible: yes; x unique most probable: yes; next result guaranteed x: no.",
      "Claim true: yes; x possible: yes; x unique most probable: no; next result guaranteed x: yes.",
      "Claim true: yes; x possible: yes; x unique most probable: no; next result guaranteed x: no.",
      "Claim true: yes; x possible: no; x unique most probable: yes; next result guaranteed x: yes.",
      "Claim true: yes; x possible: no; x unique most probable: yes; next result guaranteed x: no.",
      "Claim true: yes; x possible: no; x unique most probable: no; next result guaranteed x: yes.",
      "Claim true: yes; x possible: no; x unique most probable: no; next result guaranteed x: no.",
      "Claim true: no; x possible: yes; x unique most probable: yes; next result guaranteed x: yes.",
      "Claim true: no; x possible: yes; x unique most probable: yes; next result guaranteed x: no.",
      "Claim true: no; x possible: yes; x unique most probable: no; next result guaranteed x: yes.",
      "Claim true: no; x possible: yes; x unique most probable: no; next result guaranteed x: no.",
      "Claim true: no; x possible: no; x unique most probable: yes; next result guaranteed x: yes.",
      "Claim true: no; x possible: no; x unique most probable: yes; next result guaranteed x: no.",
      "Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: yes."
    ],
    "answer": "Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: no.",
    "settlement_stratum": "mean-outcome",
    "domain": "retry count",
    "boundary": "tied-modes",
    "variant": 1,
    "oracle": {
      "mean": "4",
      "modes": [
        "2",
        "4"
      ],
      "value": "5",
      "flags": [
        false,
        false,
        false,
        false
      ],
      "masses": {
        "2": "2/5",
        "4": "2/5",
        "8": "1/5"
      }
    }
  },
  {
    "id": "outcome-careful-outcome-full-050",
    "english": "Shared definition supplied once for this stateless question: x is mean-outcome(D) asserts that x equals the probability-weighted arithmetic mean under D. x is likeliest-outcome(D) asserts that x has the highest aggregated outcome mass under D, with ties allowed. These definitions also govern the corresponding English phrases. They do not guarantee a trial result or certify the model. Fictional retry count model D471, version v3 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive, exact rational masses, not rounded observations: value 3 units with mass 2/5; value 5 units with mass 2/5; value 9 units with mass 1/5. Add masses of paths with the same value. Mean is the probability-weighted arithmetic mean; most probable compares aggregated value masses and allows ties. Here x = 5 units. No claim that the model is correct or guarantees a trial is supplied. Statement: Under D471, the probability-weighted mean is 5 units.",
    "ainglish": "Shared definition supplied once for this stateless question: x is mean-outcome(D) asserts that x equals the probability-weighted arithmetic mean under D. x is likeliest-outcome(D) asserts that x has the highest aggregated outcome mass under D, with ties allowed. These definitions also govern the corresponding English phrases. They do not guarantee a trial result or certify the model. Fictional retry count model D471, version v3 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive, exact rational masses, not rounded observations: value 3 units with mass 2/5; value 5 units with mass 2/5; value 9 units with mass 1/5. Add masses of paths with the same value. Mean is the probability-weighted arithmetic mean; most probable compares aggregated value masses and allows ties. Here x = 5 units. No claim that the model is correct or guarantees a trial is supplied. Statement: 5 units is mean-outcome(D471).",
    "question": "Evaluate the claim, whether x can actually occur, whether x alone is most probable, and whether the next result is guaranteed to equal x.",
    "options": [
      "Claim true: yes; x possible: yes; x unique most probable: yes; next result guaranteed x: yes.",
      "Claim true: yes; x possible: yes; x unique most probable: yes; next result guaranteed x: no.",
      "Claim true: yes; x possible: yes; x unique most probable: no; next result guaranteed x: no.",
      "Claim true: yes; x possible: yes; x unique most probable: no; next result guaranteed x: yes.",
      "Claim true: yes; x possible: no; x unique most probable: yes; next result guaranteed x: yes.",
      "Claim true: yes; x possible: no; x unique most probable: yes; next result guaranteed x: no.",
      "Claim true: yes; x possible: no; x unique most probable: no; next result guaranteed x: yes.",
      "Claim true: yes; x possible: no; x unique most probable: no; next result guaranteed x: no.",
      "Claim true: no; x possible: yes; x unique most probable: yes; next result guaranteed x: yes.",
      "Claim true: no; x possible: yes; x unique most probable: yes; next result guaranteed x: no.",
      "Claim true: no; x possible: yes; x unique most probable: no; next result guaranteed x: yes.",
      "Claim true: no; x possible: yes; x unique most probable: no; next result guaranteed x: no.",
      "Claim true: no; x possible: no; x unique most probable: yes; next result guaranteed x: yes.",
      "Claim true: no; x possible: no; x unique most probable: yes; next result guaranteed x: no.",
      "Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: yes.",
      "Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: no."
    ],
    "answer": "Claim true: yes; x possible: yes; x unique most probable: no; next result guaranteed x: no.",
    "settlement_stratum": "mean-outcome",
    "domain": "retry count",
    "boundary": "tied-modes",
    "variant": 2,
    "oracle": {
      "mean": "5",
      "modes": [
        "3",
        "5"
      ],
      "value": "5",
      "flags": [
        true,
        true,
        false,
        false
      ],
      "masses": {
        "3": "2/5",
        "5": "2/5",
        "9": "1/5"
      }
    }
  },
  {
    "id": "outcome-careful-outcome-full-051",
    "english": "Shared definition supplied once for this stateless question: x is mean-outcome(D) asserts that x equals the probability-weighted arithmetic mean under D. x is likeliest-outcome(D) asserts that x has the highest aggregated outcome mass under D, with ties allowed. These definitions also govern the corresponding English phrases. They do not guarantee a trial result or certify the model. Fictional retry count model D472, version v3 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive, exact rational masses, not rounded observations: value 4 units with mass 2/5; value 6 units with mass 2/5; value 10 units with mass 1/5. Add masses of paths with the same value. Mean is the probability-weighted arithmetic mean; most probable compares aggregated value masses and allows ties. Here x = 7 units. No claim that the model is correct or guarantees a trial is supplied. Statement: Under D472, the probability-weighted mean is 7 units.",
    "ainglish": "Shared definition supplied once for this stateless question: x is mean-outcome(D) asserts that x equals the probability-weighted arithmetic mean under D. x is likeliest-outcome(D) asserts that x has the highest aggregated outcome mass under D, with ties allowed. These definitions also govern the corresponding English phrases. They do not guarantee a trial result or certify the model. Fictional retry count model D472, version v3 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive, exact rational masses, not rounded observations: value 4 units with mass 2/5; value 6 units with mass 2/5; value 10 units with mass 1/5. Add masses of paths with the same value. Mean is the probability-weighted arithmetic mean; most probable compares aggregated value masses and allows ties. Here x = 7 units. No claim that the model is correct or guarantees a trial is supplied. Statement: 7 units is mean-outcome(D472).",
    "question": "Evaluate the claim, whether x can actually occur, whether x alone is most probable, and whether the next result is guaranteed to equal x.",
    "options": [
      "Claim true: yes; x possible: yes; x unique most probable: yes; next result guaranteed x: yes.",
      "Claim true: yes; x possible: yes; x unique most probable: yes; next result guaranteed x: no.",
      "Claim true: yes; x possible: yes; x unique most probable: no; next result guaranteed x: yes.",
      "Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: no.",
      "Claim true: yes; x possible: yes; x unique most probable: no; next result guaranteed x: no.",
      "Claim true: yes; x possible: no; x unique most probable: yes; next result guaranteed x: yes.",
      "Claim true: yes; x possible: no; x unique most probable: yes; next result guaranteed x: no.",
      "Claim true: yes; x possible: no; x unique most probable: no; next result guaranteed x: yes.",
      "Claim true: yes; x possible: no; x unique most probable: no; next result guaranteed x: no.",
      "Claim true: no; x possible: yes; x unique most probable: yes; next result guaranteed x: yes.",
      "Claim true: no; x possible: yes; x unique most probable: yes; next result guaranteed x: no.",
      "Claim true: no; x possible: yes; x unique most probable: no; next result guaranteed x: yes.",
      "Claim true: no; x possible: yes; x unique most probable: no; next result guaranteed x: no.",
      "Claim true: no; x possible: no; x unique most probable: yes; next result guaranteed x: yes.",
      "Claim true: no; x possible: no; x unique most probable: yes; next result guaranteed x: no.",
      "Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: yes."
    ],
    "answer": "Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: no.",
    "settlement_stratum": "mean-outcome",
    "domain": "retry count",
    "boundary": "tied-modes",
    "variant": 3,
    "oracle": {
      "mean": "6",
      "modes": [
        "4",
        "6"
      ],
      "value": "7",
      "flags": [
        false,
        false,
        false,
        false
      ],
      "masses": {
        "4": "2/5",
        "6": "2/5",
        "10": "1/5"
      }
    }
  },
  {
    "id": "outcome-careful-outcome-full-052",
    "english": "Shared definition supplied once for this stateless question: x is mean-outcome(D) asserts that x equals the probability-weighted arithmetic mean under D. x is likeliest-outcome(D) asserts that x has the highest aggregated outcome mass under D, with ties allowed. These definitions also govern the corresponding English phrases. They do not guarantee a trial result or certify the model. Fictional retry count model D473, version v3 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive, exact rational masses, not rounded observations: value 0 units with mass 1/4; value 2 units with mass 1/2; value 4 units with mass 1/4. Add masses of paths with the same value. Mean is the probability-weighted arithmetic mean; most probable compares aggregated value masses and allows ties. Here x = 2 units. No claim that the model is correct or guarantees a trial is supplied. Statement: Under D473, the probability-weighted mean is 2 units.",
    "ainglish": "Shared definition supplied once for this stateless question: x is mean-outcome(D) asserts that x equals the probability-weighted arithmetic mean under D. x is likeliest-outcome(D) asserts that x has the highest aggregated outcome mass under D, with ties allowed. These definitions also govern the corresponding English phrases. They do not guarantee a trial result or certify the model. Fictional retry count model D473, version v3 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive, exact rational masses, not rounded observations: value 0 units with mass 1/4; value 2 units with mass 1/2; value 4 units with mass 1/4. Add masses of paths with the same value. Mean is the probability-weighted arithmetic mean; most probable compares aggregated value masses and allows ties. Here x = 2 units. No claim that the model is correct or guarantees a trial is supplied. Statement: 2 units is mean-outcome(D473).",
    "question": "Evaluate the claim, whether x can actually occur, whether x alone is most probable, and whether the next result is guaranteed to equal x.",
    "options": [
      "Claim true: yes; x possible: yes; x unique most probable: yes; next result guaranteed x: yes.",
      "Claim true: yes; x possible: yes; x unique most probable: no; next result guaranteed x: yes.",
      "Claim true: yes; x possible: yes; x unique most probable: no; next result guaranteed x: no.",
      "Claim true: yes; x possible: no; x unique most probable: yes; next result guaranteed x: yes.",
      "Claim true: yes; x possible: yes; x unique most probable: yes; next result guaranteed x: no.",
      "Claim true: yes; x possible: no; x unique most probable: yes; next result guaranteed x: no.",
      "Claim true: yes; x possible: no; x unique most probable: no; next result guaranteed x: yes.",
      "Claim true: yes; x possible: no; x unique most probable: no; next result guaranteed x: no.",
      "Claim true: no; x possible: yes; x unique most probable: yes; next result guaranteed x: yes.",
      "Claim true: no; x possible: yes; x unique most probable: yes; next result guaranteed x: no.",
      "Claim true: no; x possible: yes; x unique most probable: no; next result guaranteed x: yes.",
      "Claim true: no; x possible: yes; x unique most probable: no; next result guaranteed x: no.",
      "Claim true: no; x possible: no; x unique most probable: yes; next result guaranteed x: yes.",
      "Claim true: no; x possible: no; x unique most probable: yes; next result guaranteed x: no.",
      "Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: yes.",
      "Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: no."
    ],
    "answer": "Claim true: yes; x possible: yes; x unique most probable: yes; next result guaranteed x: no.",
    "settlement_stratum": "mean-outcome",
    "domain": "retry count",
    "boundary": "mean-is-mode",
    "variant": 0,
    "oracle": {
      "mean": "2",
      "modes": [
        "2"
      ],
      "value": "2",
      "flags": [
        true,
        true,
        true,
        false
      ],
      "masses": {
        "0": "1/4",
        "2": "1/2",
        "4": "1/4"
      }
    }
  },
  {
    "id": "outcome-careful-outcome-full-053",
    "english": "Shared definition supplied once for this stateless question: x is mean-outcome(D) asserts that x equals the probability-weighted arithmetic mean under D. x is likeliest-outcome(D) asserts that x has the highest aggregated outcome mass under D, with ties allowed. These definitions also govern the corresponding English phrases. They do not guarantee a trial result or certify the model. Fictional retry count model D474, version v3 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive, exact rational masses, not rounded observations: value 1 units with mass 1/4; value 3 units with mass 1/2; value 5 units with mass 1/4. Add masses of paths with the same value. Mean is the probability-weighted arithmetic mean; most probable compares aggregated value masses and allows ties. Here x = 4 units. No claim that the model is correct or guarantees a trial is supplied. Statement: Under D474, the probability-weighted mean is 4 units.",
    "ainglish": "Shared definition supplied once for this stateless question: x is mean-outcome(D) asserts that x equals the probability-weighted arithmetic mean under D. x is likeliest-outcome(D) asserts that x has the highest aggregated outcome mass under D, with ties allowed. These definitions also govern the corresponding English phrases. They do not guarantee a trial result or certify the model. Fictional retry count model D474, version v3 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive, exact rational masses, not rounded observations: value 1 units with mass 1/4; value 3 units with mass 1/2; value 5 units with mass 1/4. Add masses of paths with the same value. Mean is the probability-weighted arithmetic mean; most probable compares aggregated value masses and allows ties. Here x = 4 units. No claim that the model is correct or guarantees a trial is supplied. Statement: 4 units is mean-outcome(D474).",
    "question": "Evaluate the claim, whether x can actually occur, whether x alone is most probable, and whether the next result is guaranteed to equal x.",
    "options": [
      "Claim true: yes; x possible: yes; x unique most probable: yes; next result guaranteed x: yes.",
      "Claim true: yes; x possible: yes; x unique most probable: yes; next result guaranteed x: no.",
      "Claim true: yes; x possible: yes; x unique most probable: no; next result guaranteed x: yes.",
      "Claim true: yes; x possible: yes; x unique most probable: no; next result guaranteed x: no.",
      "Claim true: yes; x possible: no; x unique most probable: yes; next result guaranteed x: yes.",
      "Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: no.",
      "Claim true: yes; x possible: no; x unique most probable: yes; next result guaranteed x: no.",
      "Claim true: yes; x possible: no; x unique most probable: no; next result guaranteed x: yes.",
      "Claim true: yes; x possible: no; x unique most probable: no; next result guaranteed x: no.",
      "Claim true: no; x possible: yes; x unique most probable: yes; next result guaranteed x: yes.",
      "Claim true: no; x possible: yes; x unique most probable: yes; next result guaranteed x: no.",
      "Claim true: no; x possible: yes; x unique most probable: no; next result guaranteed x: yes.",
      "Claim true: no; x possible: yes; x unique most probable: no; next result guaranteed x: no.",
      "Claim true: no; x possible: no; x unique most probable: yes; next result guaranteed x: yes.",
      "Claim true: no; x possible: no; x unique most probable: yes; next result guaranteed x: no.",
      "Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: yes."
    ],
    "answer": "Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: no.",
    "settlement_stratum": "mean-outcome",
    "domain": "retry count",
    "boundary": "mean-is-mode",
    "variant": 1,
    "oracle": {
      "mean": "3",
      "modes": [
        "3"
      ],
      "value": "4",
      "flags": [
        false,
        false,
        false,
        false
      ],
      "masses": {
        "1": "1/4",
        "3": "1/2",
        "5": "1/4"
      }
    }
  },
  {
    "id": "outcome-careful-outcome-full-054",
    "english": "Shared definition supplied once for this stateless question: x is mean-outcome(D) asserts that x equals the probability-weighted arithmetic mean under D. x is likeliest-outcome(D) asserts that x has the highest aggregated outcome mass under D, with ties allowed. These definitions also govern the corresponding English phrases. They do not guarantee a trial result or certify the model. Fictional retry count model D475, version v3 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive, exact rational masses, not rounded observations: value 2 units with mass 1/4; value 4 units with mass 1/2; value 6 units with mass 1/4. Add masses of paths with the same value. Mean is the probability-weighted arithmetic mean; most probable compares aggregated value masses and allows ties. Here x = 4 units. No claim that the model is correct or guarantees a trial is supplied. Statement: Under D475, the probability-weighted mean is 4 units.",
    "ainglish": "Shared definition supplied once for this stateless question: x is mean-outcome(D) asserts that x equals the probability-weighted arithmetic mean under D. x is likeliest-outcome(D) asserts that x has the highest aggregated outcome mass under D, with ties allowed. These definitions also govern the corresponding English phrases. They do not guarantee a trial result or certify the model. Fictional retry count model D475, version v3 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive, exact rational masses, not rounded observations: value 2 units with mass 1/4; value 4 units with mass 1/2; value 6 units with mass 1/4. Add masses of paths with the same value. Mean is the probability-weighted arithmetic mean; most probable compares aggregated value masses and allows ties. Here x = 4 units. No claim that the model is correct or guarantees a trial is supplied. Statement: 4 units is mean-outcome(D475).",
    "question": "Evaluate the claim, whether x can actually occur, whether x alone is most probable, and whether the next result is guaranteed to equal x.",
    "options": [
      "Claim true: yes; x possible: yes; x unique most probable: yes; next result guaranteed x: yes.",
      "Claim true: yes; x possible: yes; x unique most probable: no; next result guaranteed x: yes.",
      "Claim true: yes; x possible: yes; x unique most probable: no; next result guaranteed x: no.",
      "Claim true: yes; x possible: no; x unique most probable: yes; next result guaranteed x: yes.",
      "Claim true: yes; x possible: no; x unique most probable: yes; next result guaranteed x: no.",
      "Claim true: yes; x possible: no; x unique most probable: no; next result guaranteed x: yes.",
      "Claim true: yes; x possible: yes; x unique most probable: yes; next result guaranteed x: no.",
      "Claim true: yes; x possible: no; x unique most probable: no; next result guaranteed x: no.",
      "Claim true: no; x possible: yes; x unique most probable: yes; next result guaranteed x: yes.",
      "Claim true: no; x possible: yes; x unique most probable: yes; next result guaranteed x: no.",
      "Claim true: no; x possible: yes; x unique most probable: no; next result guaranteed x: yes.",
      "Claim true: no; x possible: yes; x unique most probable: no; next result guaranteed x: no.",
      "Claim true: no; x possible: no; x unique most probable: yes; next result guaranteed x: yes.",
      "Claim true: no; x possible: no; x unique most probable: yes; next result guaranteed x: no.",
      "Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: yes.",
      "Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: no."
    ],
    "answer": "Claim true: yes; x possible: yes; x unique most probable: yes; next result guaranteed x: no.",
    "settlement_stratum": "mean-outcome",
    "domain": "retry count",
    "boundary": "mean-is-mode",
    "variant": 2,
    "oracle": {
      "mean": "4",
      "modes": [
        "4"
      ],
      "value": "4",
      "flags": [
        true,
        true,
        true,
        false
      ],
      "masses": {
        "2": "1/4",
        "4": "1/2",
        "6": "1/4"
      }
    }
  },
  {
    "id": "outcome-careful-outcome-full-055",
    "english": "Shared definition supplied once for this stateless question: x is mean-outcome(D) asserts that x equals the probability-weighted arithmetic mean under D. x is likeliest-outcome(D) asserts that x has the highest aggregated outcome mass under D, with ties allowed. These definitions also govern the corresponding English phrases. They do not guarantee a trial result or certify the model. Fictional retry count model D476, version v3 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive, exact rational masses, not rounded observations: value 3 units with mass 1/4; value 5 units with mass 1/2; value 7 units with mass 1/4. Add masses of paths with the same value. Mean is the probability-weighted arithmetic mean; most probable compares aggregated value masses and allows ties. Here x = 6 units. No claim that the model is correct or guarantees a trial is supplied. Statement: Under D476, the probability-weighted mean is 6 units.",
    "ainglish": "Shared definition supplied once for this stateless question: x is mean-outcome(D) asserts that x equals the probability-weighted arithmetic mean under D. x is likeliest-outcome(D) asserts that x has the highest aggregated outcome mass under D, with ties allowed. These definitions also govern the corresponding English phrases. They do not guarantee a trial result or certify the model. Fictional retry count model D476, version v3 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive, exact rational masses, not rounded observations: value 3 units with mass 1/4; value 5 units with mass 1/2; value 7 units with mass 1/4. Add masses of paths with the same value. Mean is the probability-weighted arithmetic mean; most probable compares aggregated value masses and allows ties. Here x = 6 units. No claim that the model is correct or guarantees a trial is supplied. Statement: 6 units is mean-outcome(D476).",
    "question": "Evaluate the claim, whether x can actually occur, whether x alone is most probable, and whether the next result is guaranteed to equal x.",
    "options": [
      "Claim true: yes; x possible: yes; x unique most probable: yes; next result guaranteed x: yes.",
      "Claim true: yes; x possible: yes; x unique most probable: yes; next result guaranteed x: no.",
      "Claim true: yes; x possible: yes; x unique most probable: no; next result guaranteed x: yes.",
      "Claim true: yes; x possible: yes; x unique most probable: no; next result guaranteed x: no.",
      "Claim true: yes; x possible: no; x unique most probable: yes; next result guaranteed x: yes.",
      "Claim true: yes; x possible: no; x unique most probable: yes; next result guaranteed x: no.",
      "Claim true: yes; x possible: no; x unique most probable: no; next result guaranteed x: yes.",
      "Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: no.",
      "Claim true: yes; x possible: no; x unique most probable: no; next result guaranteed x: no.",
      "Claim true: no; x possible: yes; x unique most probable: yes; next result guaranteed x: yes.",
      "Claim true: no; x possible: yes; x unique most probable: yes; next result guaranteed x: no.",
      "Claim true: no; x possible: yes; x unique most probable: no; next result guaranteed x: yes.",
      "Claim true: no; x possible: yes; x unique most probable: no; next result guaranteed x: no.",
      "Claim true: no; x possible: no; x unique most probable: yes; next result guaranteed x: yes.",
      "Claim true: no; x possible: no; x unique most probable: yes; next result guaranteed x: no.",
      "Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: yes."
    ],
    "answer": "Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: no.",
    "settlement_stratum": "mean-outcome",
    "domain": "retry count",
    "boundary": "mean-is-mode",
    "variant": 3,
    "oracle": {
      "mean": "5",
      "modes": [
        "5"
      ],
      "value": "6",
      "flags": [
        false,
        false,
        false,
        false
      ],
      "masses": {
        "3": "1/4",
        "5": "1/2",
        "7": "1/4"
      }
    }
  },
  {
    "id": "outcome-careful-outcome-full-056",
    "english": "Shared definition supplied once for this stateless question: x is mean-outcome(D) asserts that x equals the probability-weighted arithmetic mean under D. x is likeliest-outcome(D) asserts that x has the highest aggregated outcome mass under D, with ties allowed. These definitions also govern the corresponding English phrases. They do not guarantee a trial result or certify the model. Fictional retry count model D477, version v3 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive, exact rational masses, not rounded observations: value 0 units with mass 1/5; value 4 units with mass 3/10; value 4 units with mass 3/10; value 8 units with mass 1/5. Add masses of paths with the same value. Mean is the probability-weighted arithmetic mean; most probable compares aggregated value masses and allows ties. Here x = 4 units. No claim that the model is correct or guarantees a trial is supplied. Statement: Under D477, the probability-weighted mean is 4 units.",
    "ainglish": "Shared definition supplied once for this stateless question: x is mean-outcome(D) asserts that x equals the probability-weighted arithmetic mean under D. x is likeliest-outcome(D) asserts that x has the highest aggregated outcome mass under D, with ties allowed. These definitions also govern the corresponding English phrases. They do not guarantee a trial result or certify the model. Fictional retry count model D477, version v3 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive, exact rational masses, not rounded observations: value 0 units with mass 1/5; value 4 units with mass 3/10; value 4 units with mass 3/10; value 8 units with mass 1/5. Add masses of paths with the same value. Mean is the probability-weighted arithmetic mean; most probable compares aggregated value masses and allows ties. Here x = 4 units. No claim that the model is correct or guarantees a trial is supplied. Statement: 4 units is mean-outcome(D477).",
    "question": "Evaluate the claim, whether x can actually occur, whether x alone is most probable, and whether the next result is guaranteed to equal x.",
    "options": [
      "Claim true: yes; x possible: yes; x unique most probable: yes; next result guaranteed x: yes.",
      "Claim true: yes; x possible: yes; x unique most probable: no; next result guaranteed x: yes.",
      "Claim true: yes; x possible: yes; x unique most probable: no; next result guaranteed x: no.",
      "Claim true: yes; x possible: no; x unique most probable: yes; next result guaranteed x: yes.",
      "Claim true: yes; x possible: no; x unique most probable: yes; next result guaranteed x: no.",
      "Claim true: yes; x possible: no; x unique most probable: no; next result guaranteed x: yes.",
      "Claim true: yes; x possible: no; x unique most probable: no; next result guaranteed x: no.",
      "Claim true: no; x possible: yes; x unique most probable: yes; next result guaranteed x: yes.",
      "Claim true: yes; x possible: yes; x unique most probable: yes; next result guaranteed x: no.",
      "Claim true: no; x possible: yes; x unique most probable: yes; next result guaranteed x: no.",
      "Claim true: no; x possible: yes; x unique most probable: no; next result guaranteed x: yes.",
      "Claim true: no; x possible: yes; x unique most probable: no; next result guaranteed x: no.",
      "Claim true: no; x possible: no; x unique most probable: yes; next result guaranteed x: yes.",
      "Claim true: no; x possible: no; x unique most probable: yes; next result guaranteed x: no.",
      "Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: yes.",
      "Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: no."
    ],
    "answer": "Claim true: yes; x possible: yes; x unique most probable: yes; next result guaranteed x: no.",
    "settlement_stratum": "mean-outcome",
    "domain": "retry count",
    "boundary": "aggregate-paths",
    "variant": 0,
    "oracle": {
      "mean": "4",
      "modes": [
        "4"
      ],
      "value": "4",
      "flags": [
        true,
        true,
        true,
        false
      ],
      "masses": {
        "0": "1/5",
        "4": "3/5",
        "8": "1/5"
      }
    }
  },
  {
    "id": "outcome-careful-outcome-full-057",
    "english": "Shared definition supplied once for this stateless question: x is mean-outcome(D) asserts that x equals the probability-weighted arithmetic mean under D. x is likeliest-outcome(D) asserts that x has the highest aggregated outcome mass under D, with ties allowed. These definitions also govern the corresponding English phrases. They do not guarantee a trial result or certify the model. Fictional retry count model D478, version v3 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive, exact rational masses, not rounded observations: value 1 units with mass 1/5; value 5 units with mass 3/10; value 5 units with mass 3/10; value 9 units with mass 1/5. Add masses of paths with the same value. Mean is the probability-weighted arithmetic mean; most probable compares aggregated value masses and allows ties. Here x = 6 units. No claim that the model is correct or guarantees a trial is supplied. Statement: Under D478, the probability-weighted mean is 6 units.",
    "ainglish": "Shared definition supplied once for this stateless question: x is mean-outcome(D) asserts that x equals the probability-weighted arithmetic mean under D. x is likeliest-outcome(D) asserts that x has the highest aggregated outcome mass under D, with ties allowed. These definitions also govern the corresponding English phrases. They do not guarantee a trial result or certify the model. Fictional retry count model D478, version v3 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive, exact rational masses, not rounded observations: value 1 units with mass 1/5; value 5 units with mass 3/10; value 5 units with mass 3/10; value 9 units with mass 1/5. Add masses of paths with the same value. Mean is the probability-weighted arithmetic mean; most probable compares aggregated value masses and allows ties. Here x = 6 units. No claim that the model is correct or guarantees a trial is supplied. Statement: 6 units is mean-outcome(D478).",
    "question": "Evaluate the claim, whether x can actually occur, whether x alone is most probable, and whether the next result is guaranteed to equal x.",
    "options": [
      "Claim true: yes; x possible: yes; x unique most probable: yes; next result guaranteed x: yes.",
      "Claim true: yes; x possible: yes; x unique most probable: yes; next result guaranteed x: no.",
      "Claim true: yes; x possible: yes; x unique most probable: no; next result guaranteed x: yes.",
      "Claim true: yes; x possible: yes; x unique most probable: no; next result guaranteed x: no.",
      "Claim true: yes; x possible: no; x unique most probable: yes; next result guaranteed x: yes.",
      "Claim true: yes; x possible: no; x unique most probable: yes; next result guaranteed x: no.",
      "Claim true: yes; x possible: no; x unique most probable: no; next result guaranteed x: yes.",
      "Claim true: yes; x possible: no; x unique most probable: no; next result guaranteed x: no.",
      "Claim true: no; x possible: yes; x unique most probable: yes; next result guaranteed x: yes.",
      "Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: no.",
      "Claim true: no; x possible: yes; x unique most probable: yes; next result guaranteed x: no.",
      "Claim true: no; x possible: yes; x unique most probable: no; next result guaranteed x: yes.",
      "Claim true: no; x possible: yes; x unique most probable: no; next result guaranteed x: no.",
      "Claim true: no; x possible: no; x unique most probable: yes; next result guaranteed x: yes.",
      "Claim true: no; x possible: no; x unique most probable: yes; next result guaranteed x: no.",
      "Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: yes."
    ],
    "answer": "Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: no.",
    "settlement_stratum": "mean-outcome",
    "domain": "retry count",
    "boundary": "aggregate-paths",
    "variant": 1,
    "oracle": {
      "mean": "5",
      "modes": [
        "5"
      ],
      "value": "6",
      "flags": [
        false,
        false,
        false,
        false
      ],
      "masses": {
        "1": "1/5",
        "5": "3/5",
        "9": "1/5"
      }
    }
  },
  {
    "id": "outcome-careful-outcome-full-058",
    "english": "Shared definition supplied once for this stateless question: x is mean-outcome(D) asserts that x equals the probability-weighted arithmetic mean under D. x is likeliest-outcome(D) asserts that x has the highest aggregated outcome mass under D, with ties allowed. These definitions also govern the corresponding English phrases. They do not guarantee a trial result or certify the model. Fictional retry count model D479, version v3 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive, exact rational masses, not rounded observations: value 2 units with mass 1/5; value 6 units with mass 3/10; value 6 units with mass 3/10; value 10 units with mass 1/5. Add masses of paths with the same value. Mean is the probability-weighted arithmetic mean; most probable compares aggregated value masses and allows ties. Here x = 6 units. No claim that the model is correct or guarantees a trial is supplied. Statement: Under D479, the probability-weighted mean is 6 units.",
    "ainglish": "Shared definition supplied once for this stateless question: x is mean-outcome(D) asserts that x equals the probability-weighted arithmetic mean under D. x is likeliest-outcome(D) asserts that x has the highest aggregated outcome mass under D, with ties allowed. These definitions also govern the corresponding English phrases. They do not guarantee a trial result or certify the model. Fictional retry count model D479, version v3 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive, exact rational masses, not rounded observations: value 2 units with mass 1/5; value 6 units with mass 3/10; value 6 units with mass 3/10; value 10 units with mass 1/5. Add masses of paths with the same value. Mean is the probability-weighted arithmetic mean; most probable compares aggregated value masses and allows ties. Here x = 6 units. No claim that the model is correct or guarantees a trial is supplied. Statement: 6 units is mean-outcome(D479).",
    "question": "Evaluate the claim, whether x can actually occur, whether x alone is most probable, and whether the next result is guaranteed to equal x.",
    "options": [
      "Claim true: yes; x possible: yes; x unique most probable: yes; next result guaranteed x: yes.",
      "Claim true: yes; x possible: yes; x unique most probable: no; next result guaranteed x: yes.",
      "Claim true: yes; x possible: yes; x unique most probable: no; next result guaranteed x: no.",
      "Claim true: yes; x possible: no; x unique most probable: yes; next result guaranteed x: yes.",
      "Claim true: yes; x possible: no; x unique most probable: yes; next result guaranteed x: no.",
      "Claim true: yes; x possible: no; x unique most probable: no; next result guaranteed x: yes.",
      "Claim true: yes; x possible: no; x unique most probable: no; next result guaranteed x: no.",
      "Claim true: no; x possible: yes; x unique most probable: yes; next result guaranteed x: yes.",
      "Claim true: no; x possible: yes; x unique most probable: yes; next result guaranteed x: no.",
      "Claim true: no; x possible: yes; x unique most probable: no; next result guaranteed x: yes.",
      "Claim true: yes; x possible: yes; x unique most probable: yes; next result guaranteed x: no.",
      "Claim true: no; x possible: yes; x unique most probable: no; next result guaranteed x: no.",
      "Claim true: no; x possible: no; x unique most probable: yes; next result guaranteed x: yes.",
      "Claim true: no; x possible: no; x unique most probable: yes; next result guaranteed x: no.",
      "Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: yes.",
      "Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: no."
    ],
    "answer": "Claim true: yes; x possible: yes; x unique most probable: yes; next result guaranteed x: no.",
    "settlement_stratum": "mean-outcome",
    "domain": "retry count",
    "boundary": "aggregate-paths",
    "variant": 2,
    "oracle": {
      "mean": "6",
      "modes": [
        "6"
      ],
      "value": "6",
      "flags": [
        true,
        true,
        true,
        false
      ],
      "masses": {
        "2": "1/5",
        "6": "3/5",
        "10": "1/5"
      }
    }
  },
  {
    "id": "outcome-careful-outcome-full-059",
    "english": "Shared definition supplied once for this stateless question: x is mean-outcome(D) asserts that x equals the probability-weighted arithmetic mean under D. x is likeliest-outcome(D) asserts that x has the highest aggregated outcome mass under D, with ties allowed. These definitions also govern the corresponding English phrases. They do not guarantee a trial result or certify the model. Fictional retry count model D480, version v3 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive, exact rational masses, not rounded observations: value 3 units with mass 1/5; value 7 units with mass 3/10; value 7 units with mass 3/10; value 11 units with mass 1/5. Add masses of paths with the same value. Mean is the probability-weighted arithmetic mean; most probable compares aggregated value masses and allows ties. Here x = 8 units. No claim that the model is correct or guarantees a trial is supplied. Statement: Under D480, the probability-weighted mean is 8 units.",
    "ainglish": "Shared definition supplied once for this stateless question: x is mean-outcome(D) asserts that x equals the probability-weighted arithmetic mean under D. x is likeliest-outcome(D) asserts that x has the highest aggregated outcome mass under D, with ties allowed. These definitions also govern the corresponding English phrases. They do not guarantee a trial result or certify the model. Fictional retry count model D480, version v3 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive, exact rational masses, not rounded observations: value 3 units with mass 1/5; value 7 units with mass 3/10; value 7 units with mass 3/10; value 11 units with mass 1/5. Add masses of paths with the same value. Mean is the probability-weighted arithmetic mean; most probable compares aggregated value masses and allows ties. Here x = 8 units. No claim that the model is correct or guarantees a trial is supplied. Statement: 8 units is mean-outcome(D480).",
    "question": "Evaluate the claim, whether x can actually occur, whether x alone is most probable, and whether the next result is guaranteed to equal x.",
    "options": [
      "Claim true: yes; x possible: yes; x unique most probable: yes; next result guaranteed x: yes.",
      "Claim true: yes; x possible: yes; x unique most probable: yes; next result guaranteed x: no.",
      "Claim true: yes; x possible: yes; x unique most probable: no; next result guaranteed x: yes.",
      "Claim true: yes; x possible: yes; x unique most probable: no; next result guaranteed x: no.",
      "Claim true: yes; x possible: no; x unique most probable: yes; next result guaranteed x: yes.",
      "Claim true: yes; x possible: no; x unique most probable: yes; next result guaranteed x: no.",
      "Claim true: yes; x possible: no; x unique most probable: no; next result guaranteed x: yes.",
      "Claim true: yes; x possible: no; x unique most probable: no; next result guaranteed x: no.",
      "Claim true: no; x possible: yes; x unique most probable: yes; next result guaranteed x: yes.",
      "Claim true: no; x possible: yes; x unique most probable: yes; next result guaranteed x: no.",
      "Claim true: no; x possible: yes; x unique most probable: no; next result guaranteed x: yes.",
      "Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: no.",
      "Claim true: no; x possible: yes; x unique most probable: no; next result guaranteed x: no.",
      "Claim true: no; x possible: no; x unique most probable: yes; next result guaranteed x: yes.",
      "Claim true: no; x possible: no; x unique most probable: yes; next result guaranteed x: no.",
      "Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: yes."
    ],
    "answer": "Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: no.",
    "settlement_stratum": "mean-outcome",
    "domain": "retry count",
    "boundary": "aggregate-paths",
    "variant": 3,
    "oracle": {
      "mean": "7",
      "modes": [
        "7"
      ],
      "value": "8",
      "flags": [
        false,
        false,
        false,
        false
      ],
      "masses": {
        "3": "1/5",
        "7": "3/5",
        "11": "1/5"
      }
    }
  },
  {
    "id": "outcome-careful-outcome-full-060",
    "english": "Shared definition supplied once for this stateless question: x is mean-outcome(D) asserts that x equals the probability-weighted arithmetic mean under D. x is likeliest-outcome(D) asserts that x has the highest aggregated outcome mass under D, with ties allowed. These definitions also govern the corresponding English phrases. They do not guarantee a trial result or certify the model. Fictional resource use model D481, version v3 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive, exact rational masses, not rounded observations: value 0 units with mass 1/2; value 6 units with mass 1/2. Add masses of paths with the same value. Mean is the probability-weighted arithmetic mean; most probable compares aggregated value masses and allows ties. Here x = 3 units. No claim that the model is correct or guarantees a trial is supplied. Statement: Under D481, the probability-weighted mean is 3 units.",
    "ainglish": "Shared definition supplied once for this stateless question: x is mean-outcome(D) asserts that x equals the probability-weighted arithmetic mean under D. x is likeliest-outcome(D) asserts that x has the highest aggregated outcome mass under D, with ties allowed. These definitions also govern the corresponding English phrases. They do not guarantee a trial result or certify the model. Fictional resource use model D481, version v3 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive, exact rational masses, not rounded observations: value 0 units with mass 1/2; value 6 units with mass 1/2. Add masses of paths with the same value. Mean is the probability-weighted arithmetic mean; most probable compares aggregated value masses and allows ties. Here x = 3 units. No claim that the model is correct or guarantees a trial is supplied. Statement: 3 units is mean-outcome(D481).",
    "question": "Evaluate the claim, whether x can actually occur, whether x alone is most probable, and whether the next result is guaranteed to equal x.",
    "options": [
      "Claim true: yes; x possible: yes; x unique most probable: yes; next result guaranteed x: yes.",
      "Claim true: yes; x possible: yes; x unique most probable: yes; next result guaranteed x: no.",
      "Claim true: yes; x possible: yes; x unique most probable: no; next result guaranteed x: yes.",
      "Claim true: yes; x possible: yes; x unique most probable: no; next result guaranteed x: no.",
      "Claim true: yes; x possible: no; x unique most probable: yes; next result guaranteed x: yes.",
      "Claim true: yes; x possible: no; x unique most probable: yes; next result guaranteed x: no.",
      "Claim true: yes; x possible: no; x unique most probable: no; next result guaranteed x: yes.",
      "Claim true: no; x possible: yes; x unique most probable: yes; next result guaranteed x: yes.",
      "Claim true: no; x possible: yes; x unique most probable: yes; next result guaranteed x: no.",
      "Claim true: no; x possible: yes; x unique most probable: no; next result guaranteed x: yes.",
      "Claim true: no; x possible: yes; x unique most probable: no; next result guaranteed x: no.",
      "Claim true: no; x possible: no; x unique most probable: yes; next result guaranteed x: yes.",
      "Claim true: yes; x possible: no; x unique most probable: no; next result guaranteed x: no.",
      "Claim true: no; x possible: no; x unique most probable: yes; next result guaranteed x: no.",
      "Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: yes.",
      "Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: no."
    ],
    "answer": "Claim true: yes; x possible: no; x unique most probable: no; next result guaranteed x: no.",
    "settlement_stratum": "mean-outcome",
    "domain": "resource use",
    "boundary": "mean-outside",
    "variant": 0,
    "oracle": {
      "mean": "3",
      "modes": [
        "0",
        "6"
      ],
      "value": "3",
      "flags": [
        true,
        false,
        false,
        false
      ],
      "masses": {
        "0": "1/2",
        "6": "1/2"
      }
    }
  },
  {
    "id": "outcome-careful-outcome-full-061",
    "english": "Shared definition supplied once for this stateless question: x is mean-outcome(D) asserts that x equals the probability-weighted arithmetic mean under D. x is likeliest-outcome(D) asserts that x has the highest aggregated outcome mass under D, with ties allowed. These definitions also govern the corresponding English phrases. They do not guarantee a trial result or certify the model. Fictional resource use model D482, version v3 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive, exact rational masses, not rounded observations: value 1 units with mass 1/2; value 7 units with mass 1/2. Add masses of paths with the same value. Mean is the probability-weighted arithmetic mean; most probable compares aggregated value masses and allows ties. Here x = 5 units. No claim that the model is correct or guarantees a trial is supplied. Statement: Under D482, the probability-weighted mean is 5 units.",
    "ainglish": "Shared definition supplied once for this stateless question: x is mean-outcome(D) asserts that x equals the probability-weighted arithmetic mean under D. x is likeliest-outcome(D) asserts that x has the highest aggregated outcome mass under D, with ties allowed. These definitions also govern the corresponding English phrases. They do not guarantee a trial result or certify the model. Fictional resource use model D482, version v3 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive, exact rational masses, not rounded observations: value 1 units with mass 1/2; value 7 units with mass 1/2. Add masses of paths with the same value. Mean is the probability-weighted arithmetic mean; most probable compares aggregated value masses and allows ties. Here x = 5 units. No claim that the model is correct or guarantees a trial is supplied. Statement: 5 units is mean-outcome(D482).",
    "question": "Evaluate the claim, whether x can actually occur, whether x alone is most probable, and whether the next result is guaranteed to equal x.",
    "options": [
      "Claim true: yes; x possible: yes; x unique most probable: yes; next result guaranteed x: yes.",
      "Claim true: yes; x possible: yes; x unique most probable: yes; next result guaranteed x: no.",
      "Claim true: yes; x possible: yes; x unique most probable: no; next result guaranteed x: yes.",
      "Claim true: yes; x possible: yes; x unique most probable: no; next result guaranteed x: no.",
      "Claim true: yes; x possible: no; x unique most probable: yes; next result guaranteed x: yes.",
      "Claim true: yes; x possible: no; x unique most probable: yes; next result guaranteed x: no.",
      "Claim true: yes; x possible: no; x unique most probable: no; next result guaranteed x: yes.",
      "Claim true: yes; x possible: no; x unique most probable: no; next result guaranteed x: no.",
      "Claim true: no; x possible: yes; x unique most probable: yes; next result guaranteed x: yes.",
      "Claim true: no; x possible: yes; x unique most probable: yes; next result guaranteed x: no.",
      "Claim true: no; x possible: yes; x unique most probable: no; next result guaranteed x: yes.",
      "Claim true: no; x possible: yes; x unique most probable: no; next result guaranteed x: no.",
      "Claim true: no; x possible: no; x unique most probable: yes; next result guaranteed x: yes.",
      "Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: no.",
      "Claim true: no; x possible: no; x unique most probable: yes; next result guaranteed x: no.",
      "Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: yes."
    ],
    "answer": "Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: no.",
    "settlement_stratum": "mean-outcome",
    "domain": "resource use",
    "boundary": "mean-outside",
    "variant": 1,
    "oracle": {
      "mean": "4",
      "modes": [
        "1",
        "7"
      ],
      "value": "5",
      "flags": [
        false,
        false,
        false,
        false
      ],
      "masses": {
        "1": "1/2",
        "7": "1/2"
      }
    }
  },
  {
    "id": "outcome-careful-outcome-full-062",
    "english": "Shared definition supplied once for this stateless question: x is mean-outcome(D) asserts that x equals the probability-weighted arithmetic mean under D. x is likeliest-outcome(D) asserts that x has the highest aggregated outcome mass under D, with ties allowed. These definitions also govern the corresponding English phrases. They do not guarantee a trial result or certify the model. Fictional resource use model D483, version v3 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive, exact rational masses, not rounded observations: value 2 units with mass 1/2; value 8 units with mass 1/2. Add masses of paths with the same value. Mean is the probability-weighted arithmetic mean; most probable compares aggregated value masses and allows ties. Here x = 5 units. No claim that the model is correct or guarantees a trial is supplied. Statement: Under D483, the probability-weighted mean is 5 units.",
    "ainglish": "Shared definition supplied once for this stateless question: x is mean-outcome(D) asserts that x equals the probability-weighted arithmetic mean under D. x is likeliest-outcome(D) asserts that x has the highest aggregated outcome mass under D, with ties allowed. These definitions also govern the corresponding English phrases. They do not guarantee a trial result or certify the model. Fictional resource use model D483, version v3 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive, exact rational masses, not rounded observations: value 2 units with mass 1/2; value 8 units with mass 1/2. Add masses of paths with the same value. Mean is the probability-weighted arithmetic mean; most probable compares aggregated value masses and allows ties. Here x = 5 units. No claim that the model is correct or guarantees a trial is supplied. Statement: 5 units is mean-outcome(D483).",
    "question": "Evaluate the claim, whether x can actually occur, whether x alone is most probable, and whether the next result is guaranteed to equal x.",
    "options": [
      "Claim true: yes; x possible: yes; x unique most probable: yes; next result guaranteed x: yes.",
      "Claim true: yes; x possible: yes; x unique most probable: yes; next result guaranteed x: no.",
      "Claim true: yes; x possible: yes; x unique most probable: no; next result guaranteed x: yes.",
      "Claim true: yes; x possible: yes; x unique most probable: no; next result guaranteed x: no.",
      "Claim true: yes; x possible: no; x unique most probable: yes; next result guaranteed x: yes.",
      "Claim true: yes; x possible: no; x unique most probable: yes; next result guaranteed x: no.",
      "Claim true: yes; x possible: no; x unique most probable: no; next result guaranteed x: yes.",
      "Claim true: no; x possible: yes; x unique most probable: yes; next result guaranteed x: yes.",
      "Claim true: no; x possible: yes; x unique most probable: yes; next result guaranteed x: no.",
      "Claim true: no; x possible: yes; x unique most probable: no; next result guaranteed x: yes.",
      "Claim true: no; x possible: yes; x unique most probable: no; next result guaranteed x: no.",
      "Claim true: no; x possible: no; x unique most probable: yes; next result guaranteed x: yes.",
      "Claim true: no; x possible: no; x unique most probable: yes; next result guaranteed x: no.",
      "Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: yes.",
      "Claim true: yes; x possible: no; x unique most probable: no; next result guaranteed x: no.",
      "Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: no."
    ],
    "answer": "Claim true: yes; x possible: no; x unique most probable: no; next result guaranteed x: no.",
    "settlement_stratum": "mean-outcome",
    "domain": "resource use",
    "boundary": "mean-outside",
    "variant": 2,
    "oracle": {
      "mean": "5",
      "modes": [
        "2",
        "8"
      ],
      "value": "5",
      "flags": [
        true,
        false,
        false,
        false
      ],
      "masses": {
        "2": "1/2",
        "8": "1/2"
      }
    }
  },
  {
    "id": "outcome-careful-outcome-full-063",
    "english": "Shared definition supplied once for this stateless question: x is mean-outcome(D) asserts that x equals the probability-weighted arithmetic mean under D. x is likeliest-outcome(D) asserts that x has the highest aggregated outcome mass under D, with ties allowed. These definitions also govern the corresponding English phrases. They do not guarantee a trial result or certify the model. Fictional resource use model D484, version v3 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive, exact rational masses, not rounded observations: value 3 units with mass 1/2; value 9 units with mass 1/2. Add masses of paths with the same value. Mean is the probability-weighted arithmetic mean; most probable compares aggregated value masses and allows ties. Here x = 7 units. No claim that the model is correct or guarantees a trial is supplied. Statement: Under D484, the probability-weighted mean is 7 units.",
    "ainglish": "Shared definition supplied once for this stateless question: x is mean-outcome(D) asserts that x equals the probability-weighted arithmetic mean under D. x is likeliest-outcome(D) asserts that x has the highest aggregated outcome mass under D, with ties allowed. These definitions also govern the corresponding English phrases. They do not guarantee a trial result or certify the model. Fictional resource use model D484, version v3 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive, exact rational masses, not rounded observations: value 3 units with mass 1/2; value 9 units with mass 1/2. Add masses of paths with the same value. Mean is the probability-weighted arithmetic mean; most probable compares aggregated value masses and allows ties. Here x = 7 units. No claim that the model is correct or guarantees a trial is supplied. Statement: 7 units is mean-outcome(D484).",
    "question": "Evaluate the claim, whether x can actually occur, whether x alone is most probable, and whether the next result is guaranteed to equal x.",
    "options": [
      "Claim true: yes; x possible: yes; x unique most probable: yes; next result guaranteed x: yes.",
      "Claim true: yes; x possible: yes; x unique most probable: yes; next result guaranteed x: no.",
      "Claim true: yes; x possible: yes; x unique most probable: no; next result guaranteed x: yes.",
      "Claim true: yes; x possible: yes; x unique most probable: no; next result guaranteed x: no.",
      "Claim true: yes; x possible: no; x unique most probable: yes; next result guaranteed x: yes.",
      "Claim true: yes; x possible: no; x unique most probable: yes; next result guaranteed x: no.",
      "Claim true: yes; x possible: no; x unique most probable: no; next result guaranteed x: yes.",
      "Claim true: yes; x possible: no; x unique most probable: no; next result guaranteed x: no.",
      "Claim true: no; x possible: yes; x unique most probable: yes; next result guaranteed x: yes.",
      "Claim true: no; x possible: yes; x unique most probable: yes; next result guaranteed x: no.",
      "Claim true: no; x possible: yes; x unique most probable: no; next result guaranteed x: yes.",
      "Claim true: no; x possible: yes; x unique most probable: no; next result guaranteed x: no.",
      "Claim true: no; x possible: no; x unique most probable: yes; next result guaranteed x: yes.",
      "Claim true: no; x possible: no; x unique most probable: yes; next result guaranteed x: no.",
      "Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: yes.",
      "Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: no."
    ],
    "answer": "Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: no.",
    "settlement_stratum": "mean-outcome",
    "domain": "resource use",
    "boundary": "mean-outside",
    "variant": 3,
    "oracle": {
      "mean": "6",
      "modes": [
        "3",
        "9"
      ],
      "value": "7",
      "flags": [
        false,
        false,
        false,
        false
      ],
      "masses": {
        "3": "1/2",
        "9": "1/2"
      }
    }
  },
  {
    "id": "outcome-careful-outcome-full-064",
    "english": "Shared definition supplied once for this stateless question: x is mean-outcome(D) asserts that x equals the probability-weighted arithmetic mean under D. x is likeliest-outcome(D) asserts that x has the highest aggregated outcome mass under D, with ties allowed. These definitions also govern the corresponding English phrases. They do not guarantee a trial result or certify the model. Fictional resource use model D485, version v3 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive, exact rational masses, not rounded observations: value 0 units with mass 2/5; value 2 units with mass 3/10; value 5 units with mass 3/10. Add masses of paths with the same value. Mean is the probability-weighted arithmetic mean; most probable compares aggregated value masses and allows ties. Here x = 21/10 units. No claim that the model is correct or guarantees a trial is supplied. Statement: Under D485, the probability-weighted mean is 21/10 units.",
    "ainglish": "Shared definition supplied once for this stateless question: x is mean-outcome(D) asserts that x equals the probability-weighted arithmetic mean under D. x is likeliest-outcome(D) asserts that x has the highest aggregated outcome mass under D, with ties allowed. These definitions also govern the corresponding English phrases. They do not guarantee a trial result or certify the model. Fictional resource use model D485, version v3 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive, exact rational masses, not rounded observations: value 0 units with mass 2/5; value 2 units with mass 3/10; value 5 units with mass 3/10. Add masses of paths with the same value. Mean is the probability-weighted arithmetic mean; most probable compares aggregated value masses and allows ties. Here x = 21/10 units. No claim that the model is correct or guarantees a trial is supplied. Statement: 21/10 units is mean-outcome(D485).",
    "question": "Evaluate the claim, whether x can actually occur, whether x alone is most probable, and whether the next result is guaranteed to equal x.",
    "options": [
      "Claim true: yes; x possible: no; x unique most probable: no; next result guaranteed x: no.",
      "Claim true: yes; x possible: yes; x unique most probable: yes; next result guaranteed x: yes.",
      "Claim true: yes; x possible: yes; x unique most probable: yes; next result guaranteed x: no.",
      "Claim true: yes; x possible: yes; x unique most probable: no; next result guaranteed x: yes.",
      "Claim true: yes; x possible: yes; x unique most probable: no; next result guaranteed x: no.",
      "Claim true: yes; x possible: no; x unique most probable: yes; next result guaranteed x: yes.",
      "Claim true: yes; x possible: no; x unique most probable: yes; next result guaranteed x: no.",
      "Claim true: yes; x possible: no; x unique most probable: no; next result guaranteed x: yes.",
      "Claim true: no; x possible: yes; x unique most probable: yes; next result guaranteed x: yes.",
      "Claim true: no; x possible: yes; x unique most probable: yes; next result guaranteed x: no.",
      "Claim true: no; x possible: yes; x unique most probable: no; next result guaranteed x: yes.",
      "Claim true: no; x possible: yes; x unique most probable: no; next result guaranteed x: no.",
      "Claim true: no; x possible: no; x unique most probable: yes; next result guaranteed x: yes.",
      "Claim true: no; x possible: no; x unique most probable: yes; next result guaranteed x: no.",
      "Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: yes.",
      "Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: no."
    ],
    "answer": "Claim true: yes; x possible: no; x unique most probable: no; next result guaranteed x: no.",
    "settlement_stratum": "mean-outcome",
    "domain": "resource use",
    "boundary": "mode-below-half",
    "variant": 0,
    "oracle": {
      "mean": "21/10",
      "modes": [
        "0"
      ],
      "value": "21/10",
      "flags": [
        true,
        false,
        false,
        false
      ],
      "masses": {
        "0": "2/5",
        "2": "3/10",
        "5": "3/10"
      }
    }
  },
  {
    "id": "outcome-careful-outcome-full-065",
    "english": "Shared definition supplied once for this stateless question: x is mean-outcome(D) asserts that x equals the probability-weighted arithmetic mean under D. x is likeliest-outcome(D) asserts that x has the highest aggregated outcome mass under D, with ties allowed. These definitions also govern the corresponding English phrases. They do not guarantee a trial result or certify the model. Fictional resource use model D486, version v3 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive, exact rational masses, not rounded observations: value 1 units with mass 2/5; value 3 units with mass 3/10; value 6 units with mass 3/10. Add masses of paths with the same value. Mean is the probability-weighted arithmetic mean; most probable compares aggregated value masses and allows ties. Here x = 41/10 units. No claim that the model is correct or guarantees a trial is supplied. Statement: Under D486, the probability-weighted mean is 41/10 units.",
    "ainglish": "Shared definition supplied once for this stateless question: x is mean-outcome(D) asserts that x equals the probability-weighted arithmetic mean under D. x is likeliest-outcome(D) asserts that x has the highest aggregated outcome mass under D, with ties allowed. These definitions also govern the corresponding English phrases. They do not guarantee a trial result or certify the model. Fictional resource use model D486, version v3 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive, exact rational masses, not rounded observations: value 1 units with mass 2/5; value 3 units with mass 3/10; value 6 units with mass 3/10. Add masses of paths with the same value. Mean is the probability-weighted arithmetic mean; most probable compares aggregated value masses and allows ties. Here x = 41/10 units. No claim that the model is correct or guarantees a trial is supplied. Statement: 41/10 units is mean-outcome(D486).",
    "question": "Evaluate the claim, whether x can actually occur, whether x alone is most probable, and whether the next result is guaranteed to equal x.",
    "options": [
      "Claim true: yes; x possible: yes; x unique most probable: yes; next result guaranteed x: yes.",
      "Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: no.",
      "Claim true: yes; x possible: yes; x unique most probable: yes; next result guaranteed x: no.",
      "Claim true: yes; x possible: yes; x unique most probable: no; next result guaranteed x: yes.",
      "Claim true: yes; x possible: yes; x unique most probable: no; next result guaranteed x: no.",
      "Claim true: yes; x possible: no; x unique most probable: yes; next result guaranteed x: yes.",
      "Claim true: yes; x possible: no; x unique most probable: yes; next result guaranteed x: no.",
      "Claim true: yes; x possible: no; x unique most probable: no; next result guaranteed x: yes.",
      "Claim true: yes; x possible: no; x unique most probable: no; next result guaranteed x: no.",
      "Claim true: no; x possible: yes; x unique most probable: yes; next result guaranteed x: yes.",
      "Claim true: no; x possible: yes; x unique most probable: yes; next result guaranteed x: no.",
      "Claim true: no; x possible: yes; x unique most probable: no; next result guaranteed x: yes.",
      "Claim true: no; x possible: yes; x unique most probable: no; next result guaranteed x: no.",
      "Claim true: no; x possible: no; x unique most probable: yes; next result guaranteed x: yes.",
      "Claim true: no; x possible: no; x unique most probable: yes; next result guaranteed x: no.",
      "Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: yes."
    ],
    "answer": "Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: no.",
    "settlement_stratum": "mean-outcome",
    "domain": "resource use",
    "boundary": "mode-below-half",
    "variant": 1,
    "oracle": {
      "mean": "31/10",
      "modes": [
        "1"
      ],
      "value": "41/10",
      "flags": [
        false,
        false,
        false,
        false
      ],
      "masses": {
        "1": "2/5",
        "3": "3/10",
        "6": "3/10"
      }
    }
  },
  {
    "id": "outcome-careful-outcome-full-066",
    "english": "Shared definition supplied once for this stateless question: x is mean-outcome(D) asserts that x equals the probability-weighted arithmetic mean under D. x is likeliest-outcome(D) asserts that x has the highest aggregated outcome mass under D, with ties allowed. These definitions also govern the corresponding English phrases. They do not guarantee a trial result or certify the model. Fictional resource use model D487, version v3 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive, exact rational masses, not rounded observations: value 2 units with mass 2/5; value 4 units with mass 3/10; value 7 units with mass 3/10. Add masses of paths with the same value. Mean is the probability-weighted arithmetic mean; most probable compares aggregated value masses and allows ties. Here x = 41/10 units. No claim that the model is correct or guarantees a trial is supplied. Statement: Under D487, the probability-weighted mean is 41/10 units.",
    "ainglish": "Shared definition supplied once for this stateless question: x is mean-outcome(D) asserts that x equals the probability-weighted arithmetic mean under D. x is likeliest-outcome(D) asserts that x has the highest aggregated outcome mass under D, with ties allowed. These definitions also govern the corresponding English phrases. They do not guarantee a trial result or certify the model. Fictional resource use model D487, version v3 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive, exact rational masses, not rounded observations: value 2 units with mass 2/5; value 4 units with mass 3/10; value 7 units with mass 3/10. Add masses of paths with the same value. Mean is the probability-weighted arithmetic mean; most probable compares aggregated value masses and allows ties. Here x = 41/10 units. No claim that the model is correct or guarantees a trial is supplied. Statement: 41/10 units is mean-outcome(D487).",
    "question": "Evaluate the claim, whether x can actually occur, whether x alone is most probable, and whether the next result is guaranteed to equal x.",
    "options": [
      "Claim true: yes; x possible: yes; x unique most probable: yes; next result guaranteed x: yes.",
      "Claim true: yes; x possible: yes; x unique most probable: yes; next result guaranteed x: no.",
      "Claim true: yes; x possible: no; x unique most probable: no; next result guaranteed x: no.",
      "Claim true: yes; x possible: yes; x unique most probable: no; next result guaranteed x: yes.",
      "Claim true: yes; x possible: yes; x unique most probable: no; next result guaranteed x: no.",
      "Claim true: yes; x possible: no; x unique most probable: yes; next result guaranteed x: yes.",
      "Claim true: yes; x possible: no; x unique most probable: yes; next result guaranteed x: no.",
      "Claim true: yes; x possible: no; x unique most probable: no; next result guaranteed x: yes.",
      "Claim true: no; x possible: yes; x unique most probable: yes; next result guaranteed x: yes.",
      "Claim true: no; x possible: yes; x unique most probable: yes; next result guaranteed x: no.",
      "Claim true: no; x possible: yes; x unique most probable: no; next result guaranteed x: yes.",
      "Claim true: no; x possible: yes; x unique most probable: no; next result guaranteed x: no.",
      "Claim true: no; x possible: no; x unique most probable: yes; next result guaranteed x: yes.",
      "Claim true: no; x possible: no; x unique most probable: yes; next result guaranteed x: no.",
      "Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: yes.",
      "Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: no."
    ],
    "answer": "Claim true: yes; x possible: no; x unique most probable: no; next result guaranteed x: no.",
    "settlement_stratum": "mean-outcome",
    "domain": "resource use",
    "boundary": "mode-below-half",
    "variant": 2,
    "oracle": {
      "mean": "41/10",
      "modes": [
        "2"
      ],
      "value": "41/10",
      "flags": [
        true,
        false,
        false,
        false
      ],
      "masses": {
        "2": "2/5",
        "4": "3/10",
        "7": "3/10"
      }
    }
  },
  {
    "id": "outcome-careful-outcome-full-067",
    "english": "Shared definition supplied once for this stateless question: x is mean-outcome(D) asserts that x equals the probability-weighted arithmetic mean under D. x is likeliest-outcome(D) asserts that x has the highest aggregated outcome mass under D, with ties allowed. These definitions also govern the corresponding English phrases. They do not guarantee a trial result or certify the model. Fictional resource use model D488, version v3 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive, exact rational masses, not rounded observations: value 3 units with mass 2/5; value 5 units with mass 3/10; value 8 units with mass 3/10. Add masses of paths with the same value. Mean is the probability-weighted arithmetic mean; most probable compares aggregated value masses and allows ties. Here x = 61/10 units. No claim that the model is correct or guarantees a trial is supplied. Statement: Under D488, the probability-weighted mean is 61/10 units.",
    "ainglish": "Shared definition supplied once for this stateless question: x is mean-outcome(D) asserts that x equals the probability-weighted arithmetic mean under D. x is likeliest-outcome(D) asserts that x has the highest aggregated outcome mass under D, with ties allowed. These definitions also govern the corresponding English phrases. They do not guarantee a trial result or certify the model. Fictional resource use model D488, version v3 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive, exact rational masses, not rounded observations: value 3 units with mass 2/5; value 5 units with mass 3/10; value 8 units with mass 3/10. Add masses of paths with the same value. Mean is the probability-weighted arithmetic mean; most probable compares aggregated value masses and allows ties. Here x = 61/10 units. No claim that the model is correct or guarantees a trial is supplied. Statement: 61/10 units is mean-outcome(D488).",
    "question": "Evaluate the claim, whether x can actually occur, whether x alone is most probable, and whether the next result is guaranteed to equal x.",
    "options": [
      "Claim true: yes; x possible: yes; x unique most probable: yes; next result guaranteed x: yes.",
      "Claim true: yes; x possible: yes; x unique most probable: yes; next result guaranteed x: no.",
      "Claim true: yes; x possible: yes; x unique most probable: no; next result guaranteed x: yes.",
      "Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: no.",
      "Claim true: yes; x possible: yes; x unique most probable: no; next result guaranteed x: no.",
      "Claim true: yes; x possible: no; x unique most probable: yes; next result guaranteed x: yes.",
      "Claim true: yes; x possible: no; x unique most probable: yes; next result guaranteed x: no.",
      "Claim true: yes; x possible: no; x unique most probable: no; next result guaranteed x: yes.",
      "Claim true: yes; x possible: no; x unique most probable: no; next result guaranteed x: no.",
      "Claim true: no; x possible: yes; x unique most probable: yes; next result guaranteed x: yes.",
      "Claim true: no; x possible: yes; x unique most probable: yes; next result guaranteed x: no.",
      "Claim true: no; x possible: yes; x unique most probable: no; next result guaranteed x: yes.",
      "Claim true: no; x possible: yes; x unique most probable: no; next result guaranteed x: no.",
      "Claim true: no; x possible: no; x unique most probable: yes; next result guaranteed x: yes.",
      "Claim true: no; x possible: no; x unique most probable: yes; next result guaranteed x: no.",
      "Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: yes."
    ],
    "answer": "Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: no.",
    "settlement_stratum": "mean-outcome",
    "domain": "resource use",
    "boundary": "mode-below-half",
    "variant": 3,
    "oracle": {
      "mean": "51/10",
      "modes": [
        "3"
      ],
      "value": "61/10",
      "flags": [
        false,
        false,
        false,
        false
      ],
      "masses": {
        "3": "2/5",
        "5": "3/10",
        "8": "3/10"
      }
    }
  },
  {
    "id": "outcome-careful-outcome-full-068",
    "english": "Shared definition supplied once for this stateless question: x is mean-outcome(D) asserts that x equals the probability-weighted arithmetic mean under D. x is likeliest-outcome(D) asserts that x has the highest aggregated outcome mass under D, with ties allowed. These definitions also govern the corresponding English phrases. They do not guarantee a trial result or certify the model. Fictional resource use model D489, version v3 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive, exact rational masses, not rounded observations: value 1 units with mass 2/5; value 3 units with mass 2/5; value 7 units with mass 1/5. Add masses of paths with the same value. Mean is the probability-weighted arithmetic mean; most probable compares aggregated value masses and allows ties. Here x = 3 units. No claim that the model is correct or guarantees a trial is supplied. Statement: Under D489, the probability-weighted mean is 3 units.",
    "ainglish": "Shared definition supplied once for this stateless question: x is mean-outcome(D) asserts that x equals the probability-weighted arithmetic mean under D. x is likeliest-outcome(D) asserts that x has the highest aggregated outcome mass under D, with ties allowed. These definitions also govern the corresponding English phrases. They do not guarantee a trial result or certify the model. Fictional resource use model D489, version v3 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive, exact rational masses, not rounded observations: value 1 units with mass 2/5; value 3 units with mass 2/5; value 7 units with mass 1/5. Add masses of paths with the same value. Mean is the probability-weighted arithmetic mean; most probable compares aggregated value masses and allows ties. Here x = 3 units. No claim that the model is correct or guarantees a trial is supplied. Statement: 3 units is mean-outcome(D489).",
    "question": "Evaluate the claim, whether x can actually occur, whether x alone is most probable, and whether the next result is guaranteed to equal x.",
    "options": [
      "Claim true: yes; x possible: yes; x unique most probable: yes; next result guaranteed x: yes.",
      "Claim true: yes; x possible: yes; x unique most probable: yes; next result guaranteed x: no.",
      "Claim true: yes; x possible: yes; x unique most probable: no; next result guaranteed x: yes.",
      "Claim true: yes; x possible: no; x unique most probable: yes; next result guaranteed x: yes.",
      "Claim true: yes; x possible: yes; x unique most probable: no; next result guaranteed x: no.",
      "Claim true: yes; x possible: no; x unique most probable: yes; next result guaranteed x: no.",
      "Claim true: yes; x possible: no; x unique most probable: no; next result guaranteed x: yes.",
      "Claim true: yes; x possible: no; x unique most probable: no; next result guaranteed x: no.",
      "Claim true: no; x possible: yes; x unique most probable: yes; next result guaranteed x: yes.",
      "Claim true: no; x possible: yes; x unique most probable: yes; next result guaranteed x: no.",
      "Claim true: no; x possible: yes; x unique most probable: no; next result guaranteed x: yes.",
      "Claim true: no; x possible: yes; x unique most probable: no; next result guaranteed x: no.",
      "Claim true: no; x possible: no; x unique most probable: yes; next result guaranteed x: yes.",
      "Claim true: no; x possible: no; x unique most probable: yes; next result guaranteed x: no.",
      "Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: yes.",
      "Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: no."
    ],
    "answer": "Claim true: yes; x possible: yes; x unique most probable: no; next result guaranteed x: no.",
    "settlement_stratum": "mean-outcome",
    "domain": "resource use",
    "boundary": "tied-modes",
    "variant": 0,
    "oracle": {
      "mean": "3",
      "modes": [
        "1",
        "3"
      ],
      "value": "3",
      "flags": [
        true,
        true,
        false,
        false
      ],
      "masses": {
        "1": "2/5",
        "3": "2/5",
        "7": "1/5"
      }
    }
  },
  {
    "id": "outcome-careful-outcome-full-069",
    "english": "Shared definition supplied once for this stateless question: x is mean-outcome(D) asserts that x equals the probability-weighted arithmetic mean under D. x is likeliest-outcome(D) asserts that x has the highest aggregated outcome mass under D, with ties allowed. These definitions also govern the corresponding English phrases. They do not guarantee a trial result or certify the model. Fictional resource use model D490, version v3 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive, exact rational masses, not rounded observations: value 2 units with mass 2/5; value 4 units with mass 2/5; value 8 units with mass 1/5. Add masses of paths with the same value. Mean is the probability-weighted arithmetic mean; most probable compares aggregated value masses and allows ties. Here x = 5 units. No claim that the model is correct or guarantees a trial is supplied. Statement: Under D490, the probability-weighted mean is 5 units.",
    "ainglish": "Shared definition supplied once for this stateless question: x is mean-outcome(D) asserts that x equals the probability-weighted arithmetic mean under D. x is likeliest-outcome(D) asserts that x has the highest aggregated outcome mass under D, with ties allowed. These definitions also govern the corresponding English phrases. They do not guarantee a trial result or certify the model. Fictional resource use model D490, version v3 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive, exact rational masses, not rounded observations: value 2 units with mass 2/5; value 4 units with mass 2/5; value 8 units with mass 1/5. Add masses of paths with the same value. Mean is the probability-weighted arithmetic mean; most probable compares aggregated value masses and allows ties. Here x = 5 units. No claim that the model is correct or guarantees a trial is supplied. Statement: 5 units is mean-outcome(D490).",
    "question": "Evaluate the claim, whether x can actually occur, whether x alone is most probable, and whether the next result is guaranteed to equal x.",
    "options": [
      "Claim true: yes; x possible: yes; x unique most probable: yes; next result guaranteed x: yes.",
      "Claim true: yes; x possible: yes; x unique most probable: yes; next result guaranteed x: no.",
      "Claim true: yes; x possible: yes; x unique most probable: no; next result guaranteed x: yes.",
      "Claim true: yes; x possible: yes; x unique most probable: no; next result guaranteed x: no.",
      "Claim true: yes; x possible: no; x unique most probable: yes; next result guaranteed x: yes.",
      "Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: no.",
      "Claim true: yes; x possible: no; x unique most probable: yes; next result guaranteed x: no.",
      "Claim true: yes; x possible: no; x unique most probable: no; next result guaranteed x: yes.",
      "Claim true: yes; x possible: no; x unique most probable: no; next result guaranteed x: no.",
      "Claim true: no; x possible: yes; x unique most probable: yes; next result guaranteed x: yes.",
      "Claim true: no; x possible: yes; x unique most probable: yes; next result guaranteed x: no.",
      "Claim true: no; x possible: yes; x unique most probable: no; next result guaranteed x: yes.",
      "Claim true: no; x possible: yes; x unique most probable: no; next result guaranteed x: no.",
      "Claim true: no; x possible: no; x unique most probable: yes; next result guaranteed x: yes.",
      "Claim true: no; x possible: no; x unique most probable: yes; next result guaranteed x: no.",
      "Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: yes."
    ],
    "answer": "Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: no.",
    "settlement_stratum": "mean-outcome",
    "domain": "resource use",
    "boundary": "tied-modes",
    "variant": 1,
    "oracle": {
      "mean": "4",
      "modes": [
        "2",
        "4"
      ],
      "value": "5",
      "flags": [
        false,
        false,
        false,
        false
      ],
      "masses": {
        "2": "2/5",
        "4": "2/5",
        "8": "1/5"
      }
    }
  },
  {
    "id": "outcome-careful-outcome-full-070",
    "english": "Shared definition supplied once for this stateless question: x is mean-outcome(D) asserts that x equals the probability-weighted arithmetic mean under D. x is likeliest-outcome(D) asserts that x has the highest aggregated outcome mass under D, with ties allowed. These definitions also govern the corresponding English phrases. They do not guarantee a trial result or certify the model. Fictional resource use model D491, version v3 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive, exact rational masses, not rounded observations: value 3 units with mass 2/5; value 5 units with mass 2/5; value 9 units with mass 1/5. Add masses of paths with the same value. Mean is the probability-weighted arithmetic mean; most probable compares aggregated value masses and allows ties. Here x = 5 units. No claim that the model is correct or guarantees a trial is supplied. Statement: Under D491, the probability-weighted mean is 5 units.",
    "ainglish": "Shared definition supplied once for this stateless question: x is mean-outcome(D) asserts that x equals the probability-weighted arithmetic mean under D. x is likeliest-outcome(D) asserts that x has the highest aggregated outcome mass under D, with ties allowed. These definitions also govern the corresponding English phrases. They do not guarantee a trial result or certify the model. Fictional resource use model D491, version v3 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive, exact rational masses, not rounded observations: value 3 units with mass 2/5; value 5 units with mass 2/5; value 9 units with mass 1/5. Add masses of paths with the same value. Mean is the probability-weighted arithmetic mean; most probable compares aggregated value masses and allows ties. Here x = 5 units. No claim that the model is correct or guarantees a trial is supplied. Statement: 5 units is mean-outcome(D491).",
    "question": "Evaluate the claim, whether x can actually occur, whether x alone is most probable, and whether the next result is guaranteed to equal x.",
    "options": [
      "Claim true: yes; x possible: yes; x unique most probable: yes; next result guaranteed x: yes.",
      "Claim true: yes; x possible: yes; x unique most probable: yes; next result guaranteed x: no.",
      "Claim true: yes; x possible: yes; x unique most probable: no; next result guaranteed x: yes.",
      "Claim true: yes; x possible: no; x unique most probable: yes; next result guaranteed x: yes.",
      "Claim true: yes; x possible: no; x unique most probable: yes; next result guaranteed x: no.",
      "Claim true: yes; x possible: no; x unique most probable: no; next result guaranteed x: yes.",
      "Claim true: yes; x possible: yes; x unique most probable: no; next result guaranteed x: no.",
      "Claim true: yes; x possible: no; x unique most probable: no; next result guaranteed x: no.",
      "Claim true: no; x possible: yes; x unique most probable: yes; next result guaranteed x: yes.",
      "Claim true: no; x possible: yes; x unique most probable: yes; next result guaranteed x: no.",
      "Claim true: no; x possible: yes; x unique most probable: no; next result guaranteed x: yes.",
      "Claim true: no; x possible: yes; x unique most probable: no; next result guaranteed x: no.",
      "Claim true: no; x possible: no; x unique most probable: yes; next result guaranteed x: yes.",
      "Claim true: no; x possible: no; x unique most probable: yes; next result guaranteed x: no.",
      "Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: yes.",
      "Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: no."
    ],
    "answer": "Claim true: yes; x possible: yes; x unique most probable: no; next result guaranteed x: no.",
    "settlement_stratum": "mean-outcome",
    "domain": "resource use",
    "boundary": "tied-modes",
    "variant": 2,
    "oracle": {
      "mean": "5",
      "modes": [
        "3",
        "5"
      ],
      "value": "5",
      "flags": [
        true,
        true,
        false,
        false
      ],
      "masses": {
        "3": "2/5",
        "5": "2/5",
        "9": "1/5"
      }
    }
  },
  {
    "id": "outcome-careful-outcome-full-071",
    "english": "Shared definition supplied once for this stateless question: x is mean-outcome(D) asserts that x equals the probability-weighted arithmetic mean under D. x is likeliest-outcome(D) asserts that x has the highest aggregated outcome mass under D, with ties allowed. These definitions also govern the corresponding English phrases. They do not guarantee a trial result or certify the model. Fictional resource use model D492, version v3 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive, exact rational masses, not rounded observations: value 4 units with mass 2/5; value 6 units with mass 2/5; value 10 units with mass 1/5. Add masses of paths with the same value. Mean is the probability-weighted arithmetic mean; most probable compares aggregated value masses and allows ties. Here x = 7 units. No claim that the model is correct or guarantees a trial is supplied. Statement: Under D492, the probability-weighted mean is 7 units.",
    "ainglish": "Shared definition supplied once for this stateless question: x is mean-outcome(D) asserts that x equals the probability-weighted arithmetic mean under D. x is likeliest-outcome(D) asserts that x has the highest aggregated outcome mass under D, with ties allowed. These definitions also govern the corresponding English phrases. They do not guarantee a trial result or certify the model. Fictional resource use model D492, version v3 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive, exact rational masses, not rounded observations: value 4 units with mass 2/5; value 6 units with mass 2/5; value 10 units with mass 1/5. Add masses of paths with the same value. Mean is the probability-weighted arithmetic mean; most probable compares aggregated value masses and allows ties. Here x = 7 units. No claim that the model is correct or guarantees a trial is supplied. Statement: 7 units is mean-outcome(D492).",
    "question": "Evaluate the claim, whether x can actually occur, whether x alone is most probable, and whether the next result is guaranteed to equal x.",
    "options": [
      "Claim true: yes; x possible: yes; x unique most probable: yes; next result guaranteed x: yes.",
      "Claim true: yes; x possible: yes; x unique most probable: yes; next result guaranteed x: no.",
      "Claim true: yes; x possible: yes; x unique most probable: no; next result guaranteed x: yes.",
      "Claim true: yes; x possible: yes; x unique most probable: no; next result guaranteed x: no.",
      "Claim true: yes; x possible: no; x unique most probable: yes; next result guaranteed x: yes.",
      "Claim true: yes; x possible: no; x unique most probable: yes; next result guaranteed x: no.",
      "Claim true: yes; x possible: no; x unique most probable: no; next result guaranteed x: yes.",
      "Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: no.",
      "Claim true: yes; x possible: no; x unique most probable: no; next result guaranteed x: no.",
      "Claim true: no; x possible: yes; x unique most probable: yes; next result guaranteed x: yes.",
      "Claim true: no; x possible: yes; x unique most probable: yes; next result guaranteed x: no.",
      "Claim true: no; x possible: yes; x unique most probable: no; next result guaranteed x: yes.",
      "Claim true: no; x possible: yes; x unique most probable: no; next result guaranteed x: no.",
      "Claim true: no; x possible: no; x unique most probable: yes; next result guaranteed x: yes.",
      "Claim true: no; x possible: no; x unique most probable: yes; next result guaranteed x: no.",
      "Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: yes."
    ],
    "answer": "Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: no.",
    "settlement_stratum": "mean-outcome",
    "domain": "resource use",
    "boundary": "tied-modes",
    "variant": 3,
    "oracle": {
      "mean": "6",
      "modes": [
        "4",
        "6"
      ],
      "value": "7",
      "flags": [
        false,
        false,
        false,
        false
      ],
      "masses": {
        "4": "2/5",
        "6": "2/5",
        "10": "1/5"
      }
    }
  },
  {
    "id": "outcome-careful-outcome-full-072",
    "english": "Shared definition supplied once for this stateless question: x is mean-outcome(D) asserts that x equals the probability-weighted arithmetic mean under D. x is likeliest-outcome(D) asserts that x has the highest aggregated outcome mass under D, with ties allowed. These definitions also govern the corresponding English phrases. They do not guarantee a trial result or certify the model. Fictional resource use model D493, version v3 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive, exact rational masses, not rounded observations: value 0 units with mass 1/4; value 2 units with mass 1/2; value 4 units with mass 1/4. Add masses of paths with the same value. Mean is the probability-weighted arithmetic mean; most probable compares aggregated value masses and allows ties. Here x = 2 units. No claim that the model is correct or guarantees a trial is supplied. Statement: Under D493, the probability-weighted mean is 2 units.",
    "ainglish": "Shared definition supplied once for this stateless question: x is mean-outcome(D) asserts that x equals the probability-weighted arithmetic mean under D. x is likeliest-outcome(D) asserts that x has the highest aggregated outcome mass under D, with ties allowed. These definitions also govern the corresponding English phrases. They do not guarantee a trial result or certify the model. Fictional resource use model D493, version v3 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive, exact rational masses, not rounded observations: value 0 units with mass 1/4; value 2 units with mass 1/2; value 4 units with mass 1/4. Add masses of paths with the same value. Mean is the probability-weighted arithmetic mean; most probable compares aggregated value masses and allows ties. Here x = 2 units. No claim that the model is correct or guarantees a trial is supplied. Statement: 2 units is mean-outcome(D493).",
    "question": "Evaluate the claim, whether x can actually occur, whether x alone is most probable, and whether the next result is guaranteed to equal x.",
    "options": [
      "Claim true: yes; x possible: yes; x unique most probable: yes; next result guaranteed x: yes.",
      "Claim true: yes; x possible: yes; x unique most probable: no; next result guaranteed x: yes.",
      "Claim true: yes; x possible: yes; x unique most probable: no; next result guaranteed x: no.",
      "Claim true: yes; x possible: no; x unique most probable: yes; next result guaranteed x: yes.",
      "Claim true: yes; x possible: no; x unique most probable: yes; next result guaranteed x: no.",
      "Claim true: yes; x possible: no; x unique most probable: no; next result guaranteed x: yes.",
      "Claim true: yes; x possible: no; x unique most probable: no; next result guaranteed x: no.",
      "Claim true: no; x possible: yes; x unique most probable: yes; next result guaranteed x: yes.",
      "Claim true: yes; x possible: yes; x unique most probable: yes; next result guaranteed x: no.",
      "Claim true: no; x possible: yes; x unique most probable: yes; next result guaranteed x: no.",
      "Claim true: no; x possible: yes; x unique most probable: no; next result guaranteed x: yes.",
      "Claim true: no; x possible: yes; x unique most probable: no; next result guaranteed x: no.",
      "Claim true: no; x possible: no; x unique most probable: yes; next result guaranteed x: yes.",
      "Claim true: no; x possible: no; x unique most probable: yes; next result guaranteed x: no.",
      "Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: yes.",
      "Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: no."
    ],
    "answer": "Claim true: yes; x possible: yes; x unique most probable: yes; next result guaranteed x: no.",
    "settlement_stratum": "mean-outcome",
    "domain": "resource use",
    "boundary": "mean-is-mode",
    "variant": 0,
    "oracle": {
      "mean": "2",
      "modes": [
        "2"
      ],
      "value": "2",
      "flags": [
        true,
        true,
        true,
        false
      ],
      "masses": {
        "0": "1/4",
        "2": "1/2",
        "4": "1/4"
      }
    }
  },
  {
    "id": "outcome-careful-outcome-full-073",
    "english": "Shared definition supplied once for this stateless question: x is mean-outcome(D) asserts that x equals the probability-weighted arithmetic mean under D. x is likeliest-outcome(D) asserts that x has the highest aggregated outcome mass under D, with ties allowed. These definitions also govern the corresponding English phrases. They do not guarantee a trial result or certify the model. Fictional resource use model D494, version v3 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive, exact rational masses, not rounded observations: value 1 units with mass 1/4; value 3 units with mass 1/2; value 5 units with mass 1/4. Add masses of paths with the same value. Mean is the probability-weighted arithmetic mean; most probable compares aggregated value masses and allows ties. Here x = 4 units. No claim that the model is correct or guarantees a trial is supplied. Statement: Under D494, the probability-weighted mean is 4 units.",
    "ainglish": "Shared definition supplied once for this stateless question: x is mean-outcome(D) asserts that x equals the probability-weighted arithmetic mean under D. x is likeliest-outcome(D) asserts that x has the highest aggregated outcome mass under D, with ties allowed. These definitions also govern the corresponding English phrases. They do not guarantee a trial result or certify the model. Fictional resource use model D494, version v3 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive, exact rational masses, not rounded observations: value 1 units with mass 1/4; value 3 units with mass 1/2; value 5 units with mass 1/4. Add masses of paths with the same value. Mean is the probability-weighted arithmetic mean; most probable compares aggregated value masses and allows ties. Here x = 4 units. No claim that the model is correct or guarantees a trial is supplied. Statement: 4 units is mean-outcome(D494).",
    "question": "Evaluate the claim, whether x can actually occur, whether x alone is most probable, and whether the next result is guaranteed to equal x.",
    "options": [
      "Claim true: yes; x possible: yes; x unique most probable: yes; next result guaranteed x: yes.",
      "Claim true: yes; x possible: yes; x unique most probable: yes; next result guaranteed x: no.",
      "Claim true: yes; x possible: yes; x unique most probable: no; next result guaranteed x: yes.",
      "Claim true: yes; x possible: yes; x unique most probable: no; next result guaranteed x: no.",
      "Claim true: yes; x possible: no; x unique most probable: yes; next result guaranteed x: yes.",
      "Claim true: yes; x possible: no; x unique most probable: yes; next result guaranteed x: no.",
      "Claim true: yes; x possible: no; x unique most probable: no; next result guaranteed x: yes.",
      "Claim true: yes; x possible: no; x unique most probable: no; next result guaranteed x: no.",
      "Claim true: no; x possible: yes; x unique most probable: yes; next result guaranteed x: yes.",
      "Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: no.",
      "Claim true: no; x possible: yes; x unique most probable: yes; next result guaranteed x: no.",
      "Claim true: no; x possible: yes; x unique most probable: no; next result guaranteed x: yes.",
      "Claim true: no; x possible: yes; x unique most probable: no; next result guaranteed x: no.",
      "Claim true: no; x possible: no; x unique most probable: yes; next result guaranteed x: yes.",
      "Claim true: no; x possible: no; x unique most probable: yes; next result guaranteed x: no.",
      "Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: yes."
    ],
    "answer": "Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: no.",
    "settlement_stratum": "mean-outcome",
    "domain": "resource use",
    "boundary": "mean-is-mode",
    "variant": 1,
    "oracle": {
      "mean": "3",
      "modes": [
        "3"
      ],
      "value": "4",
      "flags": [
        false,
        false,
        false,
        false
      ],
      "masses": {
        "1": "1/4",
        "3": "1/2",
        "5": "1/4"
      }
    }
  },
  {
    "id": "outcome-careful-outcome-full-074",
    "english": "Shared definition supplied once for this stateless question: x is mean-outcome(D) asserts that x equals the probability-weighted arithmetic mean under D. x is likeliest-outcome(D) asserts that x has the highest aggregated outcome mass under D, with ties allowed. These definitions also govern the corresponding English phrases. They do not guarantee a trial result or certify the model. Fictional resource use model D495, version v3 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive, exact rational masses, not rounded observations: value 2 units with mass 1/4; value 4 units with mass 1/2; value 6 units with mass 1/4. Add masses of paths with the same value. Mean is the probability-weighted arithmetic mean; most probable compares aggregated value masses and allows ties. Here x = 4 units. No claim that the model is correct or guarantees a trial is supplied. Statement: Under D495, the probability-weighted mean is 4 units.",
    "ainglish": "Shared definition supplied once for this stateless question: x is mean-outcome(D) asserts that x equals the probability-weighted arithmetic mean under D. x is likeliest-outcome(D) asserts that x has the highest aggregated outcome mass under D, with ties allowed. These definitions also govern the corresponding English phrases. They do not guarantee a trial result or certify the model. Fictional resource use model D495, version v3 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive, exact rational masses, not rounded observations: value 2 units with mass 1/4; value 4 units with mass 1/2; value 6 units with mass 1/4. Add masses of paths with the same value. Mean is the probability-weighted arithmetic mean; most probable compares aggregated value masses and allows ties. Here x = 4 units. No claim that the model is correct or guarantees a trial is supplied. Statement: 4 units is mean-outcome(D495).",
    "question": "Evaluate the claim, whether x can actually occur, whether x alone is most probable, and whether the next result is guaranteed to equal x.",
    "options": [
      "Claim true: yes; x possible: yes; x unique most probable: yes; next result guaranteed x: yes.",
      "Claim true: yes; x possible: yes; x unique most probable: no; next result guaranteed x: yes.",
      "Claim true: yes; x possible: yes; x unique most probable: no; next result guaranteed x: no.",
      "Claim true: yes; x possible: no; x unique most probable: yes; next result guaranteed x: yes.",
      "Claim true: yes; x possible: no; x unique most probable: yes; next result guaranteed x: no.",
      "Claim true: yes; x possible: no; x unique most probable: no; next result guaranteed x: yes.",
      "Claim true: yes; x possible: no; x unique most probable: no; next result guaranteed x: no.",
      "Claim true: no; x possible: yes; x unique most probable: yes; next result guaranteed x: yes.",
      "Claim true: no; x possible: yes; x unique most probable: yes; next result guaranteed x: no.",
      "Claim true: no; x possible: yes; x unique most probable: no; next result guaranteed x: yes.",
      "Claim true: yes; x possible: yes; x unique most probable: yes; next result guaranteed x: no.",
      "Claim true: no; x possible: yes; x unique most probable: no; next result guaranteed x: no.",
      "Claim true: no; x possible: no; x unique most probable: yes; next result guaranteed x: yes.",
      "Claim true: no; x possible: no; x unique most probable: yes; next result guaranteed x: no.",
      "Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: yes.",
      "Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: no."
    ],
    "answer": "Claim true: yes; x possible: yes; x unique most probable: yes; next result guaranteed x: no.",
    "settlement_stratum": "mean-outcome",
    "domain": "resource use",
    "boundary": "mean-is-mode",
    "variant": 2,
    "oracle": {
      "mean": "4",
      "modes": [
        "4"
      ],
      "value": "4",
      "flags": [
        true,
        true,
        true,
        false
      ],
      "masses": {
        "2": "1/4",
        "4": "1/2",
        "6": "1/4"
      }
    }
  },
  {
    "id": "outcome-careful-outcome-full-075",
    "english": "Shared definition supplied once for this stateless question: x is mean-outcome(D) asserts that x equals the probability-weighted arithmetic mean under D. x is likeliest-outcome(D) asserts that x has the highest aggregated outcome mass under D, with ties allowed. These definitions also govern the corresponding English phrases. They do not guarantee a trial result or certify the model. Fictional resource use model D496, version v3 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive, exact rational masses, not rounded observations: value 3 units with mass 1/4; value 5 units with mass 1/2; value 7 units with mass 1/4. Add masses of paths with the same value. Mean is the probability-weighted arithmetic mean; most probable compares aggregated value masses and allows ties. Here x = 6 units. No claim that the model is correct or guarantees a trial is supplied. Statement: Under D496, the probability-weighted mean is 6 units.",
    "ainglish": "Shared definition supplied once for this stateless question: x is mean-outcome(D) asserts that x equals the probability-weighted arithmetic mean under D. x is likeliest-outcome(D) asserts that x has the highest aggregated outcome mass under D, with ties allowed. These definitions also govern the corresponding English phrases. They do not guarantee a trial result or certify the model. Fictional resource use model D496, version v3 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive, exact rational masses, not rounded observations: value 3 units with mass 1/4; value 5 units with mass 1/2; value 7 units with mass 1/4. Add masses of paths with the same value. Mean is the probability-weighted arithmetic mean; most probable compares aggregated value masses and allows ties. Here x = 6 units. No claim that the model is correct or guarantees a trial is supplied. Statement: 6 units is mean-outcome(D496).",
    "question": "Evaluate the claim, whether x can actually occur, whether x alone is most probable, and whether the next result is guaranteed to equal x.",
    "options": [
      "Claim true: yes; x possible: yes; x unique most probable: yes; next result guaranteed x: yes.",
      "Claim true: yes; x possible: yes; x unique most probable: yes; next result guaranteed x: no.",
      "Claim true: yes; x possible: yes; x unique most probable: no; next result guaranteed x: yes.",
      "Claim true: yes; x possible: yes; x unique most probable: no; next result guaranteed x: no.",
      "Claim true: yes; x possible: no; x unique most probable: yes; next result guaranteed x: yes.",
      "Claim true: yes; x possible: no; x unique most probable: yes; next result guaranteed x: no.",
      "Claim true: yes; x possible: no; x unique most probable: no; next result guaranteed x: yes.",
      "Claim true: yes; x possible: no; x unique most probable: no; next result guaranteed x: no.",
      "Claim true: no; x possible: yes; x unique most probable: yes; next result guaranteed x: yes.",
      "Claim true: no; x possible: yes; x unique most probable: yes; next result guaranteed x: no.",
      "Claim true: no; x possible: yes; x unique most probable: no; next result guaranteed x: yes.",
      "Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: no.",
      "Claim true: no; x possible: yes; x unique most probable: no; next result guaranteed x: no.",
      "Claim true: no; x possible: no; x unique most probable: yes; next result guaranteed x: yes.",
      "Claim true: no; x possible: no; x unique most probable: yes; next result guaranteed x: no.",
      "Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: yes."
    ],
    "answer": "Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: no.",
    "settlement_stratum": "mean-outcome",
    "domain": "resource use",
    "boundary": "mean-is-mode",
    "variant": 3,
    "oracle": {
      "mean": "5",
      "modes": [
        "5"
      ],
      "value": "6",
      "flags": [
        false,
        false,
        false,
        false
      ],
      "masses": {
        "3": "1/4",
        "5": "1/2",
        "7": "1/4"
      }
    }
  },
  {
    "id": "outcome-careful-outcome-full-076",
    "english": "Shared definition supplied once for this stateless question: x is mean-outcome(D) asserts that x equals the probability-weighted arithmetic mean under D. x is likeliest-outcome(D) asserts that x has the highest aggregated outcome mass under D, with ties allowed. These definitions also govern the corresponding English phrases. They do not guarantee a trial result or certify the model. Fictional resource use model D497, version v3 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive, exact rational masses, not rounded observations: value 0 units with mass 1/5; value 4 units with mass 3/10; value 4 units with mass 3/10; value 8 units with mass 1/5. Add masses of paths with the same value. Mean is the probability-weighted arithmetic mean; most probable compares aggregated value masses and allows ties. Here x = 4 units. No claim that the model is correct or guarantees a trial is supplied. Statement: Under D497, the probability-weighted mean is 4 units.",
    "ainglish": "Shared definition supplied once for this stateless question: x is mean-outcome(D) asserts that x equals the probability-weighted arithmetic mean under D. x is likeliest-outcome(D) asserts that x has the highest aggregated outcome mass under D, with ties allowed. These definitions also govern the corresponding English phrases. They do not guarantee a trial result or certify the model. Fictional resource use model D497, version v3 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive, exact rational masses, not rounded observations: value 0 units with mass 1/5; value 4 units with mass 3/10; value 4 units with mass 3/10; value 8 units with mass 1/5. Add masses of paths with the same value. Mean is the probability-weighted arithmetic mean; most probable compares aggregated value masses and allows ties. Here x = 4 units. No claim that the model is correct or guarantees a trial is supplied. Statement: 4 units is mean-outcome(D497).",
    "question": "Evaluate the claim, whether x can actually occur, whether x alone is most probable, and whether the next result is guaranteed to equal x.",
    "options": [
      "Claim true: yes; x possible: yes; x unique most probable: yes; next result guaranteed x: yes.",
      "Claim true: yes; x possible: yes; x unique most probable: no; next result guaranteed x: yes.",
      "Claim true: yes; x possible: yes; x unique most probable: no; next result guaranteed x: no.",
      "Claim true: yes; x possible: no; x unique most probable: yes; next result guaranteed x: yes.",
      "Claim true: yes; x possible: no; x unique most probable: yes; next result guaranteed x: no.",
      "Claim true: yes; x possible: no; x unique most probable: no; next result guaranteed x: yes.",
      "Claim true: yes; x possible: no; x unique most probable: no; next result guaranteed x: no.",
      "Claim true: no; x possible: yes; x unique most probable: yes; next result guaranteed x: yes.",
      "Claim true: no; x possible: yes; x unique most probable: yes; next result guaranteed x: no.",
      "Claim true: no; x possible: yes; x unique most probable: no; next result guaranteed x: yes.",
      "Claim true: no; x possible: yes; x unique most probable: no; next result guaranteed x: no.",
      "Claim true: no; x possible: no; x unique most probable: yes; next result guaranteed x: yes.",
      "Claim true: yes; x possible: yes; x unique most probable: yes; next result guaranteed x: no.",
      "Claim true: no; x possible: no; x unique most probable: yes; next result guaranteed x: no.",
      "Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: yes.",
      "Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: no."
    ],
    "answer": "Claim true: yes; x possible: yes; x unique most probable: yes; next result guaranteed x: no.",
    "settlement_stratum": "mean-outcome",
    "domain": "resource use",
    "boundary": "aggregate-paths",
    "variant": 0,
    "oracle": {
      "mean": "4",
      "modes": [
        "4"
      ],
      "value": "4",
      "flags": [
        true,
        true,
        true,
        false
      ],
      "masses": {
        "0": "1/5",
        "4": "3/5",
        "8": "1/5"
      }
    }
  },
  {
    "id": "outcome-careful-outcome-full-077",
    "english": "Shared definition supplied once for this stateless question: x is mean-outcome(D) asserts that x equals the probability-weighted arithmetic mean under D. x is likeliest-outcome(D) asserts that x has the highest aggregated outcome mass under D, with ties allowed. These definitions also govern the corresponding English phrases. They do not guarantee a trial result or certify the model. Fictional resource use model D498, version v3 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive, exact rational masses, not rounded observations: value 1 units with mass 1/5; value 5 units with mass 3/10; value 5 units with mass 3/10; value 9 units with mass 1/5. Add masses of paths with the same value. Mean is the probability-weighted arithmetic mean; most probable compares aggregated value masses and allows ties. Here x = 6 units. No claim that the model is correct or guarantees a trial is supplied. Statement: Under D498, the probability-weighted mean is 6 units.",
    "ainglish": "Shared definition supplied once for this stateless question: x is mean-outcome(D) asserts that x equals the probability-weighted arithmetic mean under D. x is likeliest-outcome(D) asserts that x has the highest aggregated outcome mass under D, with ties allowed. These definitions also govern the corresponding English phrases. They do not guarantee a trial result or certify the model. Fictional resource use model D498, version v3 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive, exact rational masses, not rounded observations: value 1 units with mass 1/5; value 5 units with mass 3/10; value 5 units with mass 3/10; value 9 units with mass 1/5. Add masses of paths with the same value. Mean is the probability-weighted arithmetic mean; most probable compares aggregated value masses and allows ties. Here x = 6 units. No claim that the model is correct or guarantees a trial is supplied. Statement: 6 units is mean-outcome(D498).",
    "question": "Evaluate the claim, whether x can actually occur, whether x alone is most probable, and whether the next result is guaranteed to equal x.",
    "options": [
      "Claim true: yes; x possible: yes; x unique most probable: yes; next result guaranteed x: yes.",
      "Claim true: yes; x possible: yes; x unique most probable: yes; next result guaranteed x: no.",
      "Claim true: yes; x possible: yes; x unique most probable: no; next result guaranteed x: yes.",
      "Claim true: yes; x possible: yes; x unique most probable: no; next result guaranteed x: no.",
      "Claim true: yes; x possible: no; x unique most probable: yes; next result guaranteed x: yes.",
      "Claim true: yes; x possible: no; x unique most probable: yes; next result guaranteed x: no.",
      "Claim true: yes; x possible: no; x unique most probable: no; next result guaranteed x: yes.",
      "Claim true: yes; x possible: no; x unique most probable: no; next result guaranteed x: no.",
      "Claim true: no; x possible: yes; x unique most probable: yes; next result guaranteed x: yes.",
      "Claim true: no; x possible: yes; x unique most probable: yes; next result guaranteed x: no.",
      "Claim true: no; x possible: yes; x unique most probable: no; next result guaranteed x: yes.",
      "Claim true: no; x possible: yes; x unique most probable: no; next result guaranteed x: no.",
      "Claim true: no; x possible: no; x unique most probable: yes; next result guaranteed x: yes.",
      "Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: no.",
      "Claim true: no; x possible: no; x unique most probable: yes; next result guaranteed x: no.",
      "Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: yes."
    ],
    "answer": "Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: no.",
    "settlement_stratum": "mean-outcome",
    "domain": "resource use",
    "boundary": "aggregate-paths",
    "variant": 1,
    "oracle": {
      "mean": "5",
      "modes": [
        "5"
      ],
      "value": "6",
      "flags": [
        false,
        false,
        false,
        false
      ],
      "masses": {
        "1": "1/5",
        "5": "3/5",
        "9": "1/5"
      }
    }
  },
  {
    "id": "outcome-careful-outcome-full-078",
    "english": "Shared definition supplied once for this stateless question: x is mean-outcome(D) asserts that x equals the probability-weighted arithmetic mean under D. x is likeliest-outcome(D) asserts that x has the highest aggregated outcome mass under D, with ties allowed. These definitions also govern the corresponding English phrases. They do not guarantee a trial result or certify the model. Fictional resource use model D499, version v3 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive, exact rational masses, not rounded observations: value 2 units with mass 1/5; value 6 units with mass 3/10; value 6 units with mass 3/10; value 10 units with mass 1/5. Add masses of paths with the same value. Mean is the probability-weighted arithmetic mean; most probable compares aggregated value masses and allows ties. Here x = 6 units. No claim that the model is correct or guarantees a trial is supplied. Statement: Under D499, the probability-weighted mean is 6 units.",
    "ainglish": "Shared definition supplied once for this stateless question: x is mean-outcome(D) asserts that x equals the probability-weighted arithmetic mean under D. x is likeliest-outcome(D) asserts that x has the highest aggregated outcome mass under D, with ties allowed. These definitions also govern the corresponding English phrases. They do not guarantee a trial result or certify the model. Fictional resource use model D499, version v3 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive, exact rational masses, not rounded observations: value 2 units with mass 1/5; value 6 units with mass 3/10; value 6 units with mass 3/10; value 10 units with mass 1/5. Add masses of paths with the same value. Mean is the probability-weighted arithmetic mean; most probable compares aggregated value masses and allows ties. Here x = 6 units. No claim that the model is correct or guarantees a trial is supplied. Statement: 6 units is mean-outcome(D499).",
    "question": "Evaluate the claim, whether x can actually occur, whether x alone is most probable, and whether the next result is guaranteed to equal x.",
    "options": [
      "Claim true: yes; x possible: yes; x unique most probable: yes; next result guaranteed x: yes.",
      "Claim true: yes; x possible: yes; x unique most probable: no; next result guaranteed x: yes.",
      "Claim true: yes; x possible: yes; x unique most probable: no; next result guaranteed x: no.",
      "Claim true: yes; x possible: no; x unique most probable: yes; next result guaranteed x: yes.",
      "Claim true: yes; x possible: no; x unique most probable: yes; next result guaranteed x: no.",
      "Claim true: yes; x possible: no; x unique most probable: no; next result guaranteed x: yes.",
      "Claim true: yes; x possible: no; x unique most probable: no; next result guaranteed x: no.",
      "Claim true: no; x possible: yes; x unique most probable: yes; next result guaranteed x: yes.",
      "Claim true: no; x possible: yes; x unique most probable: yes; next result guaranteed x: no.",
      "Claim true: no; x possible: yes; x unique most probable: no; next result guaranteed x: yes.",
      "Claim true: no; x possible: yes; x unique most probable: no; next result guaranteed x: no.",
      "Claim true: no; x possible: no; x unique most probable: yes; next result guaranteed x: yes.",
      "Claim true: no; x possible: no; x unique most probable: yes; next result guaranteed x: no.",
      "Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: yes.",
      "Claim true: yes; x possible: yes; x unique most probable: yes; next result guaranteed x: no.",
      "Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: no."
    ],
    "answer": "Claim true: yes; x possible: yes; x unique most probable: yes; next result guaranteed x: no.",
    "settlement_stratum": "mean-outcome",
    "domain": "resource use",
    "boundary": "aggregate-paths",
    "variant": 2,
    "oracle": {
      "mean": "6",
      "modes": [
        "6"
      ],
      "value": "6",
      "flags": [
        true,
        true,
        true,
        false
      ],
      "masses": {
        "2": "1/5",
        "6": "3/5",
        "10": "1/5"
      }
    }
  },
  {
    "id": "outcome-careful-outcome-full-079",
    "english": "Shared definition supplied once for this stateless question: x is mean-outcome(D) asserts that x equals the probability-weighted arithmetic mean under D. x is likeliest-outcome(D) asserts that x has the highest aggregated outcome mass under D, with ties allowed. These definitions also govern the corresponding English phrases. They do not guarantee a trial result or certify the model. Fictional resource use model D500, version v3 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive, exact rational masses, not rounded observations: value 3 units with mass 1/5; value 7 units with mass 3/10; value 7 units with mass 3/10; value 11 units with mass 1/5. Add masses of paths with the same value. Mean is the probability-weighted arithmetic mean; most probable compares aggregated value masses and allows ties. Here x = 8 units. No claim that the model is correct or guarantees a trial is supplied. Statement: Under D500, the probability-weighted mean is 8 units.",
    "ainglish": "Shared definition supplied once for this stateless question: x is mean-outcome(D) asserts that x equals the probability-weighted arithmetic mean under D. x is likeliest-outcome(D) asserts that x has the highest aggregated outcome mass under D, with ties allowed. These definitions also govern the corresponding English phrases. They do not guarantee a trial result or certify the model. Fictional resource use model D500, version v3 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive, exact rational masses, not rounded observations: value 3 units with mass 1/5; value 7 units with mass 3/10; value 7 units with mass 3/10; value 11 units with mass 1/5. Add masses of paths with the same value. Mean is the probability-weighted arithmetic mean; most probable compares aggregated value masses and allows ties. Here x = 8 units. No claim that the model is correct or guarantees a trial is supplied. Statement: 8 units is mean-outcome(D500).",
    "question": "Evaluate the claim, whether x can actually occur, whether x alone is most probable, and whether the next result is guaranteed to equal x.",
    "options": [
      "Claim true: yes; x possible: yes; x unique most probable: yes; next result guaranteed x: yes.",
      "Claim true: yes; x possible: yes; x unique most probable: yes; next result guaranteed x: no.",
      "Claim true: yes; x possible: yes; x unique most probable: no; next result guaranteed x: yes.",
      "Claim true: yes; x possible: yes; x unique most probable: no; next result guaranteed x: no.",
      "Claim true: yes; x possible: no; x unique most probable: yes; next result guaranteed x: yes.",
      "Claim true: yes; x possible: no; x unique most probable: yes; next result guaranteed x: no.",
      "Claim true: yes; x possible: no; x unique most probable: no; next result guaranteed x: yes.",
      "Claim true: yes; x possible: no; x unique most probable: no; next result guaranteed x: no.",
      "Claim true: no; x possible: yes; x unique most probable: yes; next result guaranteed x: yes.",
      "Claim true: no; x possible: yes; x unique most probable: yes; next result guaranteed x: no.",
      "Claim true: no; x possible: yes; x unique most probable: no; next result guaranteed x: yes.",
      "Claim true: no; x possible: yes; x unique most probable: no; next result guaranteed x: no.",
      "Claim true: no; x possible: no; x unique most probable: yes; next result guaranteed x: yes.",
      "Claim true: no; x possible: no; x unique most probable: yes; next result guaranteed x: no.",
      "Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: yes.",
      "Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: no."
    ],
    "answer": "Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: no.",
    "settlement_stratum": "mean-outcome",
    "domain": "resource use",
    "boundary": "aggregate-paths",
    "variant": 3,
    "oracle": {
      "mean": "7",
      "modes": [
        "7"
      ],
      "value": "8",
      "flags": [
        false,
        false,
        false,
        false
      ],
      "masses": {
        "3": "1/5",
        "7": "3/5",
        "11": "1/5"
      }
    }
  },
  {
    "id": "outcome-careful-outcome-full-080",
    "english": "Shared definition supplied once for this stateless question: x is mean-outcome(D) asserts that x equals the probability-weighted arithmetic mean under D. x is likeliest-outcome(D) asserts that x has the highest aggregated outcome mass under D, with ties allowed. These definitions also govern the corresponding English phrases. They do not guarantee a trial result or certify the model. Fictional simulated inventory model D501, version v3 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive, exact rational masses, not rounded observations: value 0 units with mass 1/2; value 6 units with mass 1/2. Add masses of paths with the same value. Mean is the probability-weighted arithmetic mean; most probable compares aggregated value masses and allows ties. Here x = 3 units. No claim that the model is correct or guarantees a trial is supplied. Statement: Under D501, the probability-weighted mean is 3 units.",
    "ainglish": "Shared definition supplied once for this stateless question: x is mean-outcome(D) asserts that x equals the probability-weighted arithmetic mean under D. x is likeliest-outcome(D) asserts that x has the highest aggregated outcome mass under D, with ties allowed. These definitions also govern the corresponding English phrases. They do not guarantee a trial result or certify the model. Fictional simulated inventory model D501, version v3 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive, exact rational masses, not rounded observations: value 0 units with mass 1/2; value 6 units with mass 1/2. Add masses of paths with the same value. Mean is the probability-weighted arithmetic mean; most probable compares aggregated value masses and allows ties. Here x = 3 units. No claim that the model is correct or guarantees a trial is supplied. Statement: 3 units is mean-outcome(D501).",
    "question": "Evaluate the claim, whether x can actually occur, whether x alone is most probable, and whether the next result is guaranteed to equal x.",
    "options": [
      "Claim true: yes; x possible: no; x unique most probable: no; next result guaranteed x: no.",
      "Claim true: yes; x possible: yes; x unique most probable: yes; next result guaranteed x: yes.",
      "Claim true: yes; x possible: yes; x unique most probable: yes; next result guaranteed x: no.",
      "Claim true: yes; x possible: yes; x unique most probable: no; next result guaranteed x: yes.",
      "Claim true: yes; x possible: yes; x unique most probable: no; next result guaranteed x: no.",
      "Claim true: yes; x possible: no; x unique most probable: yes; next result guaranteed x: yes.",
      "Claim true: yes; x possible: no; x unique most probable: yes; next result guaranteed x: no.",
      "Claim true: yes; x possible: no; x unique most probable: no; next result guaranteed x: yes.",
      "Claim true: no; x possible: yes; x unique most probable: yes; next result guaranteed x: yes.",
      "Claim true: no; x possible: yes; x unique most probable: yes; next result guaranteed x: no.",
      "Claim true: no; x possible: yes; x unique most probable: no; next result guaranteed x: yes.",
      "Claim true: no; x possible: yes; x unique most probable: no; next result guaranteed x: no.",
      "Claim true: no; x possible: no; x unique most probable: yes; next result guaranteed x: yes.",
      "Claim true: no; x possible: no; x unique most probable: yes; next result guaranteed x: no.",
      "Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: yes.",
      "Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: no."
    ],
    "answer": "Claim true: yes; x possible: no; x unique most probable: no; next result guaranteed x: no.",
    "settlement_stratum": "mean-outcome",
    "domain": "simulated inventory",
    "boundary": "mean-outside",
    "variant": 0,
    "oracle": {
      "mean": "3",
      "modes": [
        "0",
        "6"
      ],
      "value": "3",
      "flags": [
        true,
        false,
        false,
        false
      ],
      "masses": {
        "0": "1/2",
        "6": "1/2"
      }
    }
  },
  {
    "id": "outcome-careful-outcome-full-081",
    "english": "Shared definition supplied once for this stateless question: x is mean-outcome(D) asserts that x equals the probability-weighted arithmetic mean under D. x is likeliest-outcome(D) asserts that x has the highest aggregated outcome mass under D, with ties allowed. These definitions also govern the corresponding English phrases. They do not guarantee a trial result or certify the model. Fictional simulated inventory model D502, version v3 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive, exact rational masses, not rounded observations: value 1 units with mass 1/2; value 7 units with mass 1/2. Add masses of paths with the same value. Mean is the probability-weighted arithmetic mean; most probable compares aggregated value masses and allows ties. Here x = 5 units. No claim that the model is correct or guarantees a trial is supplied. Statement: Under D502, the probability-weighted mean is 5 units.",
    "ainglish": "Shared definition supplied once for this stateless question: x is mean-outcome(D) asserts that x equals the probability-weighted arithmetic mean under D. x is likeliest-outcome(D) asserts that x has the highest aggregated outcome mass under D, with ties allowed. These definitions also govern the corresponding English phrases. They do not guarantee a trial result or certify the model. Fictional simulated inventory model D502, version v3 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive, exact rational masses, not rounded observations: value 1 units with mass 1/2; value 7 units with mass 1/2. Add masses of paths with the same value. Mean is the probability-weighted arithmetic mean; most probable compares aggregated value masses and allows ties. Here x = 5 units. No claim that the model is correct or guarantees a trial is supplied. Statement: 5 units is mean-outcome(D502).",
    "question": "Evaluate the claim, whether x can actually occur, whether x alone is most probable, and whether the next result is guaranteed to equal x.",
    "options": [
      "Claim true: yes; x possible: yes; x unique most probable: yes; next result guaranteed x: yes.",
      "Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: no.",
      "Claim true: yes; x possible: yes; x unique most probable: yes; next result guaranteed x: no.",
      "Claim true: yes; x possible: yes; x unique most probable: no; next result guaranteed x: yes.",
      "Claim true: yes; x possible: yes; x unique most probable: no; next result guaranteed x: no.",
      "Claim true: yes; x possible: no; x unique most probable: yes; next result guaranteed x: yes.",
      "Claim true: yes; x possible: no; x unique most probable: yes; next result guaranteed x: no.",
      "Claim true: yes; x possible: no; x unique most probable: no; next result guaranteed x: yes.",
      "Claim true: yes; x possible: no; x unique most probable: no; next result guaranteed x: no.",
      "Claim true: no; x possible: yes; x unique most probable: yes; next result guaranteed x: yes.",
      "Claim true: no; x possible: yes; x unique most probable: yes; next result guaranteed x: no.",
      "Claim true: no; x possible: yes; x unique most probable: no; next result guaranteed x: yes.",
      "Claim true: no; x possible: yes; x unique most probable: no; next result guaranteed x: no.",
      "Claim true: no; x possible: no; x unique most probable: yes; next result guaranteed x: yes.",
      "Claim true: no; x possible: no; x unique most probable: yes; next result guaranteed x: no.",
      "Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: yes."
    ],
    "answer": "Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: no.",
    "settlement_stratum": "mean-outcome",
    "domain": "simulated inventory",
    "boundary": "mean-outside",
    "variant": 1,
    "oracle": {
      "mean": "4",
      "modes": [
        "1",
        "7"
      ],
      "value": "5",
      "flags": [
        false,
        false,
        false,
        false
      ],
      "masses": {
        "1": "1/2",
        "7": "1/2"
      }
    }
  },
  {
    "id": "outcome-careful-outcome-full-082",
    "english": "Shared definition supplied once for this stateless question: x is mean-outcome(D) asserts that x equals the probability-weighted arithmetic mean under D. x is likeliest-outcome(D) asserts that x has the highest aggregated outcome mass under D, with ties allowed. These definitions also govern the corresponding English phrases. They do not guarantee a trial result or certify the model. Fictional simulated inventory model D503, version v3 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive, exact rational masses, not rounded observations: value 2 units with mass 1/2; value 8 units with mass 1/2. Add masses of paths with the same value. Mean is the probability-weighted arithmetic mean; most probable compares aggregated value masses and allows ties. Here x = 5 units. No claim that the model is correct or guarantees a trial is supplied. Statement: Under D503, the probability-weighted mean is 5 units.",
    "ainglish": "Shared definition supplied once for this stateless question: x is mean-outcome(D) asserts that x equals the probability-weighted arithmetic mean under D. x is likeliest-outcome(D) asserts that x has the highest aggregated outcome mass under D, with ties allowed. These definitions also govern the corresponding English phrases. They do not guarantee a trial result or certify the model. Fictional simulated inventory model D503, version v3 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive, exact rational masses, not rounded observations: value 2 units with mass 1/2; value 8 units with mass 1/2. Add masses of paths with the same value. Mean is the probability-weighted arithmetic mean; most probable compares aggregated value masses and allows ties. Here x = 5 units. No claim that the model is correct or guarantees a trial is supplied. Statement: 5 units is mean-outcome(D503).",
    "question": "Evaluate the claim, whether x can actually occur, whether x alone is most probable, and whether the next result is guaranteed to equal x.",
    "options": [
      "Claim true: yes; x possible: yes; x unique most probable: yes; next result guaranteed x: yes.",
      "Claim true: yes; x possible: yes; x unique most probable: yes; next result guaranteed x: no.",
      "Claim true: yes; x possible: no; x unique most probable: no; next result guaranteed x: no.",
      "Claim true: yes; x possible: yes; x unique most probable: no; next result guaranteed x: yes.",
      "Claim true: yes; x possible: yes; x unique most probable: no; next result guaranteed x: no.",
      "Claim true: yes; x possible: no; x unique most probable: yes; next result guaranteed x: yes.",
      "Claim true: yes; x possible: no; x unique most probable: yes; next result guaranteed x: no.",
      "Claim true: yes; x possible: no; x unique most probable: no; next result guaranteed x: yes.",
      "Claim true: no; x possible: yes; x unique most probable: yes; next result guaranteed x: yes.",
      "Claim true: no; x possible: yes; x unique most probable: yes; next result guaranteed x: no.",
      "Claim true: no; x possible: yes; x unique most probable: no; next result guaranteed x: yes.",
      "Claim true: no; x possible: yes; x unique most probable: no; next result guaranteed x: no.",
      "Claim true: no; x possible: no; x unique most probable: yes; next result guaranteed x: yes.",
      "Claim true: no; x possible: no; x unique most probable: yes; next result guaranteed x: no.",
      "Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: yes.",
      "Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: no."
    ],
    "answer": "Claim true: yes; x possible: no; x unique most probable: no; next result guaranteed x: no.",
    "settlement_stratum": "mean-outcome",
    "domain": "simulated inventory",
    "boundary": "mean-outside",
    "variant": 2,
    "oracle": {
      "mean": "5",
      "modes": [
        "2",
        "8"
      ],
      "value": "5",
      "flags": [
        true,
        false,
        false,
        false
      ],
      "masses": {
        "2": "1/2",
        "8": "1/2"
      }
    }
  },
  {
    "id": "outcome-careful-outcome-full-083",
    "english": "Shared definition supplied once for this stateless question: x is mean-outcome(D) asserts that x equals the probability-weighted arithmetic mean under D. x is likeliest-outcome(D) asserts that x has the highest aggregated outcome mass under D, with ties allowed. These definitions also govern the corresponding English phrases. They do not guarantee a trial result or certify the model. Fictional simulated inventory model D504, version v3 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive, exact rational masses, not rounded observations: value 3 units with mass 1/2; value 9 units with mass 1/2. Add masses of paths with the same value. Mean is the probability-weighted arithmetic mean; most probable compares aggregated value masses and allows ties. Here x = 7 units. No claim that the model is correct or guarantees a trial is supplied. Statement: Under D504, the probability-weighted mean is 7 units.",
    "ainglish": "Shared definition supplied once for this stateless question: x is mean-outcome(D) asserts that x equals the probability-weighted arithmetic mean under D. x is likeliest-outcome(D) asserts that x has the highest aggregated outcome mass under D, with ties allowed. These definitions also govern the corresponding English phrases. They do not guarantee a trial result or certify the model. Fictional simulated inventory model D504, version v3 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive, exact rational masses, not rounded observations: value 3 units with mass 1/2; value 9 units with mass 1/2. Add masses of paths with the same value. Mean is the probability-weighted arithmetic mean; most probable compares aggregated value masses and allows ties. Here x = 7 units. No claim that the model is correct or guarantees a trial is supplied. Statement: 7 units is mean-outcome(D504).",
    "question": "Evaluate the claim, whether x can actually occur, whether x alone is most probable, and whether the next result is guaranteed to equal x.",
    "options": [
      "Claim true: yes; x possible: yes; x unique most probable: yes; next result guaranteed x: yes.",
      "Claim true: yes; x possible: yes; x unique most probable: yes; next result guaranteed x: no.",
      "Claim true: yes; x possible: yes; x unique most probable: no; next result guaranteed x: yes.",
      "Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: no.",
      "Claim true: yes; x possible: yes; x unique most probable: no; next result guaranteed x: no.",
      "Claim true: yes; x possible: no; x unique most probable: yes; next result guaranteed x: yes.",
      "Claim true: yes; x possible: no; x unique most probable: yes; next result guaranteed x: no.",
      "Claim true: yes; x possible: no; x unique most probable: no; next result guaranteed x: yes.",
      "Claim true: yes; x possible: no; x unique most probable: no; next result guaranteed x: no.",
      "Claim true: no; x possible: yes; x unique most probable: yes; next result guaranteed x: yes.",
      "Claim true: no; x possible: yes; x unique most probable: yes; next result guaranteed x: no.",
      "Claim true: no; x possible: yes; x unique most probable: no; next result guaranteed x: yes.",
      "Claim true: no; x possible: yes; x unique most probable: no; next result guaranteed x: no.",
      "Claim true: no; x possible: no; x unique most probable: yes; next result guaranteed x: yes.",
      "Claim true: no; x possible: no; x unique most probable: yes; next result guaranteed x: no.",
      "Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: yes."
    ],
    "answer": "Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: no.",
    "settlement_stratum": "mean-outcome",
    "domain": "simulated inventory",
    "boundary": "mean-outside",
    "variant": 3,
    "oracle": {
      "mean": "6",
      "modes": [
        "3",
        "9"
      ],
      "value": "7",
      "flags": [
        false,
        false,
        false,
        false
      ],
      "masses": {
        "3": "1/2",
        "9": "1/2"
      }
    }
  },
  {
    "id": "outcome-careful-outcome-full-084",
    "english": "Shared definition supplied once for this stateless question: x is mean-outcome(D) asserts that x equals the probability-weighted arithmetic mean under D. x is likeliest-outcome(D) asserts that x has the highest aggregated outcome mass under D, with ties allowed. These definitions also govern the corresponding English phrases. They do not guarantee a trial result or certify the model. Fictional simulated inventory model D505, version v3 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive, exact rational masses, not rounded observations: value 0 units with mass 2/5; value 2 units with mass 3/10; value 5 units with mass 3/10. Add masses of paths with the same value. Mean is the probability-weighted arithmetic mean; most probable compares aggregated value masses and allows ties. Here x = 21/10 units. No claim that the model is correct or guarantees a trial is supplied. Statement: Under D505, the probability-weighted mean is 21/10 units.",
    "ainglish": "Shared definition supplied once for this stateless question: x is mean-outcome(D) asserts that x equals the probability-weighted arithmetic mean under D. x is likeliest-outcome(D) asserts that x has the highest aggregated outcome mass under D, with ties allowed. These definitions also govern the corresponding English phrases. They do not guarantee a trial result or certify the model. Fictional simulated inventory model D505, version v3 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive, exact rational masses, not rounded observations: value 0 units with mass 2/5; value 2 units with mass 3/10; value 5 units with mass 3/10. Add masses of paths with the same value. Mean is the probability-weighted arithmetic mean; most probable compares aggregated value masses and allows ties. Here x = 21/10 units. No claim that the model is correct or guarantees a trial is supplied. Statement: 21/10 units is mean-outcome(D505).",
    "question": "Evaluate the claim, whether x can actually occur, whether x alone is most probable, and whether the next result is guaranteed to equal x.",
    "options": [
      "Claim true: yes; x possible: yes; x unique most probable: yes; next result guaranteed x: yes.",
      "Claim true: yes; x possible: yes; x unique most probable: yes; next result guaranteed x: no.",
      "Claim true: yes; x possible: yes; x unique most probable: no; next result guaranteed x: yes.",
      "Claim true: yes; x possible: yes; x unique most probable: no; next result guaranteed x: no.",
      "Claim true: yes; x possible: no; x unique most probable: no; next result guaranteed x: no.",
      "Claim true: yes; x possible: no; x unique most probable: yes; next result guaranteed x: yes.",
      "Claim true: yes; x possible: no; x unique most probable: yes; next result guaranteed x: no.",
      "Claim true: yes; x possible: no; x unique most probable: no; next result guaranteed x: yes.",
      "Claim true: no; x possible: yes; x unique most probable: yes; next result guaranteed x: yes.",
      "Claim true: no; x possible: yes; x unique most probable: yes; next result guaranteed x: no.",
      "Claim true: no; x possible: yes; x unique most probable: no; next result guaranteed x: yes.",
      "Claim true: no; x possible: yes; x unique most probable: no; next result guaranteed x: no.",
      "Claim true: no; x possible: no; x unique most probable: yes; next result guaranteed x: yes.",
      "Claim true: no; x possible: no; x unique most probable: yes; next result guaranteed x: no.",
      "Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: yes.",
      "Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: no."
    ],
    "answer": "Claim true: yes; x possible: no; x unique most probable: no; next result guaranteed x: no.",
    "settlement_stratum": "mean-outcome",
    "domain": "simulated inventory",
    "boundary": "mode-below-half",
    "variant": 0,
    "oracle": {
      "mean": "21/10",
      "modes": [
        "0"
      ],
      "value": "21/10",
      "flags": [
        true,
        false,
        false,
        false
      ],
      "masses": {
        "0": "2/5",
        "2": "3/10",
        "5": "3/10"
      }
    }
  },
  {
    "id": "outcome-careful-outcome-full-085",
    "english": "Shared definition supplied once for this stateless question: x is mean-outcome(D) asserts that x equals the probability-weighted arithmetic mean under D. x is likeliest-outcome(D) asserts that x has the highest aggregated outcome mass under D, with ties allowed. These definitions also govern the corresponding English phrases. They do not guarantee a trial result or certify the model. Fictional simulated inventory model D506, version v3 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive, exact rational masses, not rounded observations: value 1 units with mass 2/5; value 3 units with mass 3/10; value 6 units with mass 3/10. Add masses of paths with the same value. Mean is the probability-weighted arithmetic mean; most probable compares aggregated value masses and allows ties. Here x = 41/10 units. No claim that the model is correct or guarantees a trial is supplied. Statement: Under D506, the probability-weighted mean is 41/10 units.",
    "ainglish": "Shared definition supplied once for this stateless question: x is mean-outcome(D) asserts that x equals the probability-weighted arithmetic mean under D. x is likeliest-outcome(D) asserts that x has the highest aggregated outcome mass under D, with ties allowed. These definitions also govern the corresponding English phrases. They do not guarantee a trial result or certify the model. Fictional simulated inventory model D506, version v3 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive, exact rational masses, not rounded observations: value 1 units with mass 2/5; value 3 units with mass 3/10; value 6 units with mass 3/10. Add masses of paths with the same value. Mean is the probability-weighted arithmetic mean; most probable compares aggregated value masses and allows ties. Here x = 41/10 units. No claim that the model is correct or guarantees a trial is supplied. Statement: 41/10 units is mean-outcome(D506).",
    "question": "Evaluate the claim, whether x can actually occur, whether x alone is most probable, and whether the next result is guaranteed to equal x.",
    "options": [
      "Claim true: yes; x possible: yes; x unique most probable: yes; next result guaranteed x: yes.",
      "Claim true: yes; x possible: yes; x unique most probable: yes; next result guaranteed x: no.",
      "Claim true: yes; x possible: yes; x unique most probable: no; next result guaranteed x: yes.",
      "Claim true: yes; x possible: yes; x unique most probable: no; next result guaranteed x: no.",
      "Claim true: yes; x possible: no; x unique most probable: yes; next result guaranteed x: yes.",
      "Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: no.",
      "Claim true: yes; x possible: no; x unique most probable: yes; next result guaranteed x: no.",
      "Claim true: yes; x possible: no; x unique most probable: no; next result guaranteed x: yes.",
      "Claim true: yes; x possible: no; x unique most probable: no; next result guaranteed x: no.",
      "Claim true: no; x possible: yes; x unique most probable: yes; next result guaranteed x: yes.",
      "Claim true: no; x possible: yes; x unique most probable: yes; next result guaranteed x: no.",
      "Claim true: no; x possible: yes; x unique most probable: no; next result guaranteed x: yes.",
      "Claim true: no; x possible: yes; x unique most probable: no; next result guaranteed x: no.",
      "Claim true: no; x possible: no; x unique most probable: yes; next result guaranteed x: yes.",
      "Claim true: no; x possible: no; x unique most probable: yes; next result guaranteed x: no.",
      "Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: yes."
    ],
    "answer": "Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: no.",
    "settlement_stratum": "mean-outcome",
    "domain": "simulated inventory",
    "boundary": "mode-below-half",
    "variant": 1,
    "oracle": {
      "mean": "31/10",
      "modes": [
        "1"
      ],
      "value": "41/10",
      "flags": [
        false,
        false,
        false,
        false
      ],
      "masses": {
        "1": "2/5",
        "3": "3/10",
        "6": "3/10"
      }
    }
  },
  {
    "id": "outcome-careful-outcome-full-086",
    "english": "Shared definition supplied once for this stateless question: x is mean-outcome(D) asserts that x equals the probability-weighted arithmetic mean under D. x is likeliest-outcome(D) asserts that x has the highest aggregated outcome mass under D, with ties allowed. These definitions also govern the corresponding English phrases. They do not guarantee a trial result or certify the model. Fictional simulated inventory model D507, version v3 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive, exact rational masses, not rounded observations: value 2 units with mass 2/5; value 4 units with mass 3/10; value 7 units with mass 3/10. Add masses of paths with the same value. Mean is the probability-weighted arithmetic mean; most probable compares aggregated value masses and allows ties. Here x = 41/10 units. No claim that the model is correct or guarantees a trial is supplied. Statement: Under D507, the probability-weighted mean is 41/10 units.",
    "ainglish": "Shared definition supplied once for this stateless question: x is mean-outcome(D) asserts that x equals the probability-weighted arithmetic mean under D. x is likeliest-outcome(D) asserts that x has the highest aggregated outcome mass under D, with ties allowed. These definitions also govern the corresponding English phrases. They do not guarantee a trial result or certify the model. Fictional simulated inventory model D507, version v3 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive, exact rational masses, not rounded observations: value 2 units with mass 2/5; value 4 units with mass 3/10; value 7 units with mass 3/10. Add masses of paths with the same value. Mean is the probability-weighted arithmetic mean; most probable compares aggregated value masses and allows ties. Here x = 41/10 units. No claim that the model is correct or guarantees a trial is supplied. Statement: 41/10 units is mean-outcome(D507).",
    "question": "Evaluate the claim, whether x can actually occur, whether x alone is most probable, and whether the next result is guaranteed to equal x.",
    "options": [
      "Claim true: yes; x possible: yes; x unique most probable: yes; next result guaranteed x: yes.",
      "Claim true: yes; x possible: yes; x unique most probable: yes; next result guaranteed x: no.",
      "Claim true: yes; x possible: yes; x unique most probable: no; next result guaranteed x: yes.",
      "Claim true: yes; x possible: yes; x unique most probable: no; next result guaranteed x: no.",
      "Claim true: yes; x possible: no; x unique most probable: yes; next result guaranteed x: yes.",
      "Claim true: yes; x possible: no; x unique most probable: yes; next result guaranteed x: no.",
      "Claim true: yes; x possible: no; x unique most probable: no; next result guaranteed x: no.",
      "Claim true: yes; x possible: no; x unique most probable: no; next result guaranteed x: yes.",
      "Claim true: no; x possible: yes; x unique most probable: yes; next result guaranteed x: yes.",
      "Claim true: no; x possible: yes; x unique most probable: yes; next result guaranteed x: no.",
      "Claim true: no; x possible: yes; x unique most probable: no; next result guaranteed x: yes.",
      "Claim true: no; x possible: yes; x unique most probable: no; next result guaranteed x: no.",
      "Claim true: no; x possible: no; x unique most probable: yes; next result guaranteed x: yes.",
      "Claim true: no; x possible: no; x unique most probable: yes; next result guaranteed x: no.",
      "Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: yes.",
      "Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: no."
    ],
    "answer": "Claim true: yes; x possible: no; x unique most probable: no; next result guaranteed x: no.",
    "settlement_stratum": "mean-outcome",
    "domain": "simulated inventory",
    "boundary": "mode-below-half",
    "variant": 2,
    "oracle": {
      "mean": "41/10",
      "modes": [
        "2"
      ],
      "value": "41/10",
      "flags": [
        true,
        false,
        false,
        false
      ],
      "masses": {
        "2": "2/5",
        "4": "3/10",
        "7": "3/10"
      }
    }
  },
  {
    "id": "outcome-careful-outcome-full-087",
    "english": "Shared definition supplied once for this stateless question: x is mean-outcome(D) asserts that x equals the probability-weighted arithmetic mean under D. x is likeliest-outcome(D) asserts that x has the highest aggregated outcome mass under D, with ties allowed. These definitions also govern the corresponding English phrases. They do not guarantee a trial result or certify the model. Fictional simulated inventory model D508, version v3 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive, exact rational masses, not rounded observations: value 3 units with mass 2/5; value 5 units with mass 3/10; value 8 units with mass 3/10. Add masses of paths with the same value. Mean is the probability-weighted arithmetic mean; most probable compares aggregated value masses and allows ties. Here x = 61/10 units. No claim that the model is correct or guarantees a trial is supplied. Statement: Under D508, the probability-weighted mean is 61/10 units.",
    "ainglish": "Shared definition supplied once for this stateless question: x is mean-outcome(D) asserts that x equals the probability-weighted arithmetic mean under D. x is likeliest-outcome(D) asserts that x has the highest aggregated outcome mass under D, with ties allowed. These definitions also govern the corresponding English phrases. They do not guarantee a trial result or certify the model. Fictional simulated inventory model D508, version v3 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive, exact rational masses, not rounded observations: value 3 units with mass 2/5; value 5 units with mass 3/10; value 8 units with mass 3/10. Add masses of paths with the same value. Mean is the probability-weighted arithmetic mean; most probable compares aggregated value masses and allows ties. Here x = 61/10 units. No claim that the model is correct or guarantees a trial is supplied. Statement: 61/10 units is mean-outcome(D508).",
    "question": "Evaluate the claim, whether x can actually occur, whether x alone is most probable, and whether the next result is guaranteed to equal x.",
    "options": [
      "Claim true: yes; x possible: yes; x unique most probable: yes; next result guaranteed x: yes.",
      "Claim true: yes; x possible: yes; x unique most probable: yes; next result guaranteed x: no.",
      "Claim true: yes; x possible: yes; x unique most probable: no; next result guaranteed x: yes.",
      "Claim true: yes; x possible: yes; x unique most probable: no; next result guaranteed x: no.",
      "Claim true: yes; x possible: no; x unique most probable: yes; next result guaranteed x: yes.",
      "Claim true: yes; x possible: no; x unique most probable: yes; next result guaranteed x: no.",
      "Claim true: yes; x possible: no; x unique most probable: no; next result guaranteed x: yes.",
      "Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: no.",
      "Claim true: yes; x possible: no; x unique most probable: no; next result guaranteed x: no.",
      "Claim true: no; x possible: yes; x unique most probable: yes; next result guaranteed x: yes.",
      "Claim true: no; x possible: yes; x unique most probable: yes; next result guaranteed x: no.",
      "Claim true: no; x possible: yes; x unique most probable: no; next result guaranteed x: yes.",
      "Claim true: no; x possible: yes; x unique most probable: no; next result guaranteed x: no.",
      "Claim true: no; x possible: no; x unique most probable: yes; next result guaranteed x: yes.",
      "Claim true: no; x possible: no; x unique most probable: yes; next result guaranteed x: no.",
      "Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: yes."
    ],
    "answer": "Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: no.",
    "settlement_stratum": "mean-outcome",
    "domain": "simulated inventory",
    "boundary": "mode-below-half",
    "variant": 3,
    "oracle": {
      "mean": "51/10",
      "modes": [
        "3"
      ],
      "value": "61/10",
      "flags": [
        false,
        false,
        false,
        false
      ],
      "masses": {
        "3": "2/5",
        "5": "3/10",
        "8": "3/10"
      }
    }
  },
  {
    "id": "outcome-careful-outcome-full-088",
    "english": "Shared definition supplied once for this stateless question: x is mean-outcome(D) asserts that x equals the probability-weighted arithmetic mean under D. x is likeliest-outcome(D) asserts that x has the highest aggregated outcome mass under D, with ties allowed. These definitions also govern the corresponding English phrases. They do not guarantee a trial result or certify the model. Fictional simulated inventory model D509, version v3 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive, exact rational masses, not rounded observations: value 1 units with mass 2/5; value 3 units with mass 2/5; value 7 units with mass 1/5. Add masses of paths with the same value. Mean is the probability-weighted arithmetic mean; most probable compares aggregated value masses and allows ties. Here x = 3 units. No claim that the model is correct or guarantees a trial is supplied. Statement: Under D509, the probability-weighted mean is 3 units.",
    "ainglish": "Shared definition supplied once for this stateless question: x is mean-outcome(D) asserts that x equals the probability-weighted arithmetic mean under D. x is likeliest-outcome(D) asserts that x has the highest aggregated outcome mass under D, with ties allowed. These definitions also govern the corresponding English phrases. They do not guarantee a trial result or certify the model. Fictional simulated inventory model D509, version v3 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive, exact rational masses, not rounded observations: value 1 units with mass 2/5; value 3 units with mass 2/5; value 7 units with mass 1/5. Add masses of paths with the same value. Mean is the probability-weighted arithmetic mean; most probable compares aggregated value masses and allows ties. Here x = 3 units. No claim that the model is correct or guarantees a trial is supplied. Statement: 3 units is mean-outcome(D509).",
    "question": "Evaluate the claim, whether x can actually occur, whether x alone is most probable, and whether the next result is guaranteed to equal x.",
    "options": [
      "Claim true: yes; x possible: yes; x unique most probable: yes; next result guaranteed x: yes.",
      "Claim true: yes; x possible: yes; x unique most probable: yes; next result guaranteed x: no.",
      "Claim true: yes; x possible: yes; x unique most probable: no; next result guaranteed x: yes.",
      "Claim true: yes; x possible: no; x unique most probable: yes; next result guaranteed x: yes.",
      "Claim true: yes; x possible: no; x unique most probable: yes; next result guaranteed x: no.",
      "Claim true: yes; x possible: no; x unique most probable: no; next result guaranteed x: yes.",
      "Claim true: yes; x possible: no; x unique most probable: no; next result guaranteed x: no.",
      "Claim true: no; x possible: yes; x unique most probable: yes; next result guaranteed x: yes.",
      "Claim true: yes; x possible: yes; x unique most probable: no; next result guaranteed x: no.",
      "Claim true: no; x possible: yes; x unique most probable: yes; next result guaranteed x: no.",
      "Claim true: no; x possible: yes; x unique most probable: no; next result guaranteed x: yes.",
      "Claim true: no; x possible: yes; x unique most probable: no; next result guaranteed x: no.",
      "Claim true: no; x possible: no; x unique most probable: yes; next result guaranteed x: yes.",
      "Claim true: no; x possible: no; x unique most probable: yes; next result guaranteed x: no.",
      "Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: yes.",
      "Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: no."
    ],
    "answer": "Claim true: yes; x possible: yes; x unique most probable: no; next result guaranteed x: no.",
    "settlement_stratum": "mean-outcome",
    "domain": "simulated inventory",
    "boundary": "tied-modes",
    "variant": 0,
    "oracle": {
      "mean": "3",
      "modes": [
        "1",
        "3"
      ],
      "value": "3",
      "flags": [
        true,
        true,
        false,
        false
      ],
      "masses": {
        "1": "2/5",
        "3": "2/5",
        "7": "1/5"
      }
    }
  },
  {
    "id": "outcome-careful-outcome-full-089",
    "english": "Shared definition supplied once for this stateless question: x is mean-outcome(D) asserts that x equals the probability-weighted arithmetic mean under D. x is likeliest-outcome(D) asserts that x has the highest aggregated outcome mass under D, with ties allowed. These definitions also govern the corresponding English phrases. They do not guarantee a trial result or certify the model. Fictional simulated inventory model D510, version v3 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive, exact rational masses, not rounded observations: value 2 units with mass 2/5; value 4 units with mass 2/5; value 8 units with mass 1/5. Add masses of paths with the same value. Mean is the probability-weighted arithmetic mean; most probable compares aggregated value masses and allows ties. Here x = 5 units. No claim that the model is correct or guarantees a trial is supplied. Statement: Under D510, the probability-weighted mean is 5 units.",
    "ainglish": "Shared definition supplied once for this stateless question: x is mean-outcome(D) asserts that x equals the probability-weighted arithmetic mean under D. x is likeliest-outcome(D) asserts that x has the highest aggregated outcome mass under D, with ties allowed. These definitions also govern the corresponding English phrases. They do not guarantee a trial result or certify the model. Fictional simulated inventory model D510, version v3 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive, exact rational masses, not rounded observations: value 2 units with mass 2/5; value 4 units with mass 2/5; value 8 units with mass 1/5. Add masses of paths with the same value. Mean is the probability-weighted arithmetic mean; most probable compares aggregated value masses and allows ties. Here x = 5 units. No claim that the model is correct or guarantees a trial is supplied. Statement: 5 units is mean-outcome(D510).",
    "question": "Evaluate the claim, whether x can actually occur, whether x alone is most probable, and whether the next result is guaranteed to equal x.",
    "options": [
      "Claim true: yes; x possible: yes; x unique most probable: yes; next result guaranteed x: yes.",
      "Claim true: yes; x possible: yes; x unique most probable: yes; next result guaranteed x: no.",
      "Claim true: yes; x possible: yes; x unique most probable: no; next result guaranteed x: yes.",
      "Claim true: yes; x possible: yes; x unique most probable: no; next result guaranteed x: no.",
      "Claim true: yes; x possible: no; x unique most probable: yes; next result guaranteed x: yes.",
      "Claim true: yes; x possible: no; x unique most probable: yes; next result guaranteed x: no.",
      "Claim true: yes; x possible: no; x unique most probable: no; next result guaranteed x: yes.",
      "Claim true: yes; x possible: no; x unique most probable: no; next result guaranteed x: no.",
      "Claim true: no; x possible: yes; x unique most probable: yes; next result guaranteed x: yes.",
      "Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: no.",
      "Claim true: no; x possible: yes; x unique most probable: yes; next result guaranteed x: no.",
      "Claim true: no; x possible: yes; x unique most probable: no; next result guaranteed x: yes.",
      "Claim true: no; x possible: yes; x unique most probable: no; next result guaranteed x: no.",
      "Claim true: no; x possible: no; x unique most probable: yes; next result guaranteed x: yes.",
      "Claim true: no; x possible: no; x unique most probable: yes; next result guaranteed x: no.",
      "Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: yes."
    ],
    "answer": "Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: no.",
    "settlement_stratum": "mean-outcome",
    "domain": "simulated inventory",
    "boundary": "tied-modes",
    "variant": 1,
    "oracle": {
      "mean": "4",
      "modes": [
        "2",
        "4"
      ],
      "value": "5",
      "flags": [
        false,
        false,
        false,
        false
      ],
      "masses": {
        "2": "2/5",
        "4": "2/5",
        "8": "1/5"
      }
    }
  },
  {
    "id": "outcome-careful-outcome-full-090",
    "english": "Shared definition supplied once for this stateless question: x is mean-outcome(D) asserts that x equals the probability-weighted arithmetic mean under D. x is likeliest-outcome(D) asserts that x has the highest aggregated outcome mass under D, with ties allowed. These definitions also govern the corresponding English phrases. They do not guarantee a trial result or certify the model. Fictional simulated inventory model D511, version v3 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive, exact rational masses, not rounded observations: value 3 units with mass 2/5; value 5 units with mass 2/5; value 9 units with mass 1/5. Add masses of paths with the same value. Mean is the probability-weighted arithmetic mean; most probable compares aggregated value masses and allows ties. Here x = 5 units. No claim that the model is correct or guarantees a trial is supplied. Statement: Under D511, the probability-weighted mean is 5 units.",
    "ainglish": "Shared definition supplied once for this stateless question: x is mean-outcome(D) asserts that x equals the probability-weighted arithmetic mean under D. x is likeliest-outcome(D) asserts that x has the highest aggregated outcome mass under D, with ties allowed. These definitions also govern the corresponding English phrases. They do not guarantee a trial result or certify the model. Fictional simulated inventory model D511, version v3 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive, exact rational masses, not rounded observations: value 3 units with mass 2/5; value 5 units with mass 2/5; value 9 units with mass 1/5. Add masses of paths with the same value. Mean is the probability-weighted arithmetic mean; most probable compares aggregated value masses and allows ties. Here x = 5 units. No claim that the model is correct or guarantees a trial is supplied. Statement: 5 units is mean-outcome(D511).",
    "question": "Evaluate the claim, whether x can actually occur, whether x alone is most probable, and whether the next result is guaranteed to equal x.",
    "options": [
      "Claim true: yes; x possible: yes; x unique most probable: yes; next result guaranteed x: yes.",
      "Claim true: yes; x possible: yes; x unique most probable: yes; next result guaranteed x: no.",
      "Claim true: yes; x possible: yes; x unique most probable: no; next result guaranteed x: yes.",
      "Claim true: yes; x possible: no; x unique most probable: yes; next result guaranteed x: yes.",
      "Claim true: yes; x possible: no; x unique most probable: yes; next result guaranteed x: no.",
      "Claim true: yes; x possible: no; x unique most probable: no; next result guaranteed x: yes.",
      "Claim true: yes; x possible: no; x unique most probable: no; next result guaranteed x: no.",
      "Claim true: no; x possible: yes; x unique most probable: yes; next result guaranteed x: yes.",
      "Claim true: no; x possible: yes; x unique most probable: yes; next result guaranteed x: no.",
      "Claim true: no; x possible: yes; x unique most probable: no; next result guaranteed x: yes.",
      "Claim true: yes; x possible: yes; x unique most probable: no; next result guaranteed x: no.",
      "Claim true: no; x possible: yes; x unique most probable: no; next result guaranteed x: no.",
      "Claim true: no; x possible: no; x unique most probable: yes; next result guaranteed x: yes.",
      "Claim true: no; x possible: no; x unique most probable: yes; next result guaranteed x: no.",
      "Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: yes.",
      "Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: no."
    ],
    "answer": "Claim true: yes; x possible: yes; x unique most probable: no; next result guaranteed x: no.",
    "settlement_stratum": "mean-outcome",
    "domain": "simulated inventory",
    "boundary": "tied-modes",
    "variant": 2,
    "oracle": {
      "mean": "5",
      "modes": [
        "3",
        "5"
      ],
      "value": "5",
      "flags": [
        true,
        true,
        false,
        false
      ],
      "masses": {
        "3": "2/5",
        "5": "2/5",
        "9": "1/5"
      }
    }
  },
  {
    "id": "outcome-careful-outcome-full-091",
    "english": "Shared definition supplied once for this stateless question: x is mean-outcome(D) asserts that x equals the probability-weighted arithmetic mean under D. x is likeliest-outcome(D) asserts that x has the highest aggregated outcome mass under D, with ties allowed. These definitions also govern the corresponding English phrases. They do not guarantee a trial result or certify the model. Fictional simulated inventory model D512, version v3 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive, exact rational masses, not rounded observations: value 4 units with mass 2/5; value 6 units with mass 2/5; value 10 units with mass 1/5. Add masses of paths with the same value. Mean is the probability-weighted arithmetic mean; most probable compares aggregated value masses and allows ties. Here x = 7 units. No claim that the model is correct or guarantees a trial is supplied. Statement: Under D512, the probability-weighted mean is 7 units.",
    "ainglish": "Shared definition supplied once for this stateless question: x is mean-outcome(D) asserts that x equals the probability-weighted arithmetic mean under D. x is likeliest-outcome(D) asserts that x has the highest aggregated outcome mass under D, with ties allowed. These definitions also govern the corresponding English phrases. They do not guarantee a trial result or certify the model. Fictional simulated inventory model D512, version v3 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive, exact rational masses, not rounded observations: value 4 units with mass 2/5; value 6 units with mass 2/5; value 10 units with mass 1/5. Add masses of paths with the same value. Mean is the probability-weighted arithmetic mean; most probable compares aggregated value masses and allows ties. Here x = 7 units. No claim that the model is correct or guarantees a trial is supplied. Statement: 7 units is mean-outcome(D512).",
    "question": "Evaluate the claim, whether x can actually occur, whether x alone is most probable, and whether the next result is guaranteed to equal x.",
    "options": [
      "Claim true: yes; x possible: yes; x unique most probable: yes; next result guaranteed x: yes.",
      "Claim true: yes; x possible: yes; x unique most probable: yes; next result guaranteed x: no.",
      "Claim true: yes; x possible: yes; x unique most probable: no; next result guaranteed x: yes.",
      "Claim true: yes; x possible: yes; x unique most probable: no; next result guaranteed x: no.",
      "Claim true: yes; x possible: no; x unique most probable: yes; next result guaranteed x: yes.",
      "Claim true: yes; x possible: no; x unique most probable: yes; next result guaranteed x: no.",
      "Claim true: yes; x possible: no; x unique most probable: no; next result guaranteed x: yes.",
      "Claim true: yes; x possible: no; x unique most probable: no; next result guaranteed x: no.",
      "Claim true: no; x possible: yes; x unique most probable: yes; next result guaranteed x: yes.",
      "Claim true: no; x possible: yes; x unique most probable: yes; next result guaranteed x: no.",
      "Claim true: no; x possible: yes; x unique most probable: no; next result guaranteed x: yes.",
      "Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: no.",
      "Claim true: no; x possible: yes; x unique most probable: no; next result guaranteed x: no.",
      "Claim true: no; x possible: no; x unique most probable: yes; next result guaranteed x: yes.",
      "Claim true: no; x possible: no; x unique most probable: yes; next result guaranteed x: no.",
      "Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: yes."
    ],
    "answer": "Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: no.",
    "settlement_stratum": "mean-outcome",
    "domain": "simulated inventory",
    "boundary": "tied-modes",
    "variant": 3,
    "oracle": {
      "mean": "6",
      "modes": [
        "4",
        "6"
      ],
      "value": "7",
      "flags": [
        false,
        false,
        false,
        false
      ],
      "masses": {
        "4": "2/5",
        "6": "2/5",
        "10": "1/5"
      }
    }
  },
  {
    "id": "outcome-careful-outcome-full-092",
    "english": "Shared definition supplied once for this stateless question: x is mean-outcome(D) asserts that x equals the probability-weighted arithmetic mean under D. x is likeliest-outcome(D) asserts that x has the highest aggregated outcome mass under D, with ties allowed. These definitions also govern the corresponding English phrases. They do not guarantee a trial result or certify the model. Fictional simulated inventory model D513, version v3 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive, exact rational masses, not rounded observations: value 0 units with mass 1/4; value 2 units with mass 1/2; value 4 units with mass 1/4. Add masses of paths with the same value. Mean is the probability-weighted arithmetic mean; most probable compares aggregated value masses and allows ties. Here x = 2 units. No claim that the model is correct or guarantees a trial is supplied. Statement: Under D513, the probability-weighted mean is 2 units.",
    "ainglish": "Shared definition supplied once for this stateless question: x is mean-outcome(D) asserts that x equals the probability-weighted arithmetic mean under D. x is likeliest-outcome(D) asserts that x has the highest aggregated outcome mass under D, with ties allowed. These definitions also govern the corresponding English phrases. They do not guarantee a trial result or certify the model. Fictional simulated inventory model D513, version v3 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive, exact rational masses, not rounded observations: value 0 units with mass 1/4; value 2 units with mass 1/2; value 4 units with mass 1/4. Add masses of paths with the same value. Mean is the probability-weighted arithmetic mean; most probable compares aggregated value masses and allows ties. Here x = 2 units. No claim that the model is correct or guarantees a trial is supplied. Statement: 2 units is mean-outcome(D513).",
    "question": "Evaluate the claim, whether x can actually occur, whether x alone is most probable, and whether the next result is guaranteed to equal x.",
    "options": [
      "Claim true: yes; x possible: yes; x unique most probable: yes; next result guaranteed x: yes.",
      "Claim true: yes; x possible: yes; x unique most probable: no; next result guaranteed x: yes.",
      "Claim true: yes; x possible: yes; x unique most probable: no; next result guaranteed x: no.",
      "Claim true: yes; x possible: no; x unique most probable: yes; next result guaranteed x: yes.",
      "Claim true: yes; x possible: no; x unique most probable: yes; next result guaranteed x: no.",
      "Claim true: yes; x possible: no; x unique most probable: no; next result guaranteed x: yes.",
      "Claim true: yes; x possible: no; x unique most probable: no; next result guaranteed x: no.",
      "Claim true: no; x possible: yes; x unique most probable: yes; next result guaranteed x: yes.",
      "Claim true: no; x possible: yes; x unique most probable: yes; next result guaranteed x: no.",
      "Claim true: no; x possible: yes; x unique most probable: no; next result guaranteed x: yes.",
      "Claim true: no; x possible: yes; x unique most probable: no; next result guaranteed x: no.",
      "Claim true: no; x possible: no; x unique most probable: yes; next result guaranteed x: yes.",
      "Claim true: yes; x possible: yes; x unique most probable: yes; next result guaranteed x: no.",
      "Claim true: no; x possible: no; x unique most probable: yes; next result guaranteed x: no.",
      "Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: yes.",
      "Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: no."
    ],
    "answer": "Claim true: yes; x possible: yes; x unique most probable: yes; next result guaranteed x: no.",
    "settlement_stratum": "mean-outcome",
    "domain": "simulated inventory",
    "boundary": "mean-is-mode",
    "variant": 0,
    "oracle": {
      "mean": "2",
      "modes": [
        "2"
      ],
      "value": "2",
      "flags": [
        true,
        true,
        true,
        false
      ],
      "masses": {
        "0": "1/4",
        "2": "1/2",
        "4": "1/4"
      }
    }
  },
  {
    "id": "outcome-careful-outcome-full-093",
    "english": "Shared definition supplied once for this stateless question: x is mean-outcome(D) asserts that x equals the probability-weighted arithmetic mean under D. x is likeliest-outcome(D) asserts that x has the highest aggregated outcome mass under D, with ties allowed. These definitions also govern the corresponding English phrases. They do not guarantee a trial result or certify the model. Fictional simulated inventory model D514, version v3 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive, exact rational masses, not rounded observations: value 1 units with mass 1/4; value 3 units with mass 1/2; value 5 units with mass 1/4. Add masses of paths with the same value. Mean is the probability-weighted arithmetic mean; most probable compares aggregated value masses and allows ties. Here x = 4 units. No claim that the model is correct or guarantees a trial is supplied. Statement: Under D514, the probability-weighted mean is 4 units.",
    "ainglish": "Shared definition supplied once for this stateless question: x is mean-outcome(D) asserts that x equals the probability-weighted arithmetic mean under D. x is likeliest-outcome(D) asserts that x has the highest aggregated outcome mass under D, with ties allowed. These definitions also govern the corresponding English phrases. They do not guarantee a trial result or certify the model. Fictional simulated inventory model D514, version v3 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive, exact rational masses, not rounded observations: value 1 units with mass 1/4; value 3 units with mass 1/2; value 5 units with mass 1/4. Add masses of paths with the same value. Mean is the probability-weighted arithmetic mean; most probable compares aggregated value masses and allows ties. Here x = 4 units. No claim that the model is correct or guarantees a trial is supplied. Statement: 4 units is mean-outcome(D514).",
    "question": "Evaluate the claim, whether x can actually occur, whether x alone is most probable, and whether the next result is guaranteed to equal x.",
    "options": [
      "Claim true: yes; x possible: yes; x unique most probable: yes; next result guaranteed x: yes.",
      "Claim true: yes; x possible: yes; x unique most probable: yes; next result guaranteed x: no.",
      "Claim true: yes; x possible: yes; x unique most probable: no; next result guaranteed x: yes.",
      "Claim true: yes; x possible: yes; x unique most probable: no; next result guaranteed x: no.",
      "Claim true: yes; x possible: no; x unique most probable: yes; next result guaranteed x: yes.",
      "Claim true: yes; x possible: no; x unique most probable: yes; next result guaranteed x: no.",
      "Claim true: yes; x possible: no; x unique most probable: no; next result guaranteed x: yes.",
      "Claim true: yes; x possible: no; x unique most probable: no; next result guaranteed x: no.",
      "Claim true: no; x possible: yes; x unique most probable: yes; next result guaranteed x: yes.",
      "Claim true: no; x possible: yes; x unique most probable: yes; next result guaranteed x: no.",
      "Claim true: no; x possible: yes; x unique most probable: no; next result guaranteed x: yes.",
      "Claim true: no; x possible: yes; x unique most probable: no; next result guaranteed x: no.",
      "Claim true: no; x possible: no; x unique most probable: yes; next result guaranteed x: yes.",
      "Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: no.",
      "Claim true: no; x possible: no; x unique most probable: yes; next result guaranteed x: no.",
      "Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: yes."
    ],
    "answer": "Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: no.",
    "settlement_stratum": "mean-outcome",
    "domain": "simulated inventory",
    "boundary": "mean-is-mode",
    "variant": 1,
    "oracle": {
      "mean": "3",
      "modes": [
        "3"
      ],
      "value": "4",
      "flags": [
        false,
        false,
        false,
        false
      ],
      "masses": {
        "1": "1/4",
        "3": "1/2",
        "5": "1/4"
      }
    }
  },
  {
    "id": "outcome-careful-outcome-full-094",
    "english": "Shared definition supplied once for this stateless question: x is mean-outcome(D) asserts that x equals the probability-weighted arithmetic mean under D. x is likeliest-outcome(D) asserts that x has the highest aggregated outcome mass under D, with ties allowed. These definitions also govern the corresponding English phrases. They do not guarantee a trial result or certify the model. Fictional simulated inventory model D515, version v3 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive, exact rational masses, not rounded observations: value 2 units with mass 1/4; value 4 units with mass 1/2; value 6 units with mass 1/4. Add masses of paths with the same value. Mean is the probability-weighted arithmetic mean; most probable compares aggregated value masses and allows ties. Here x = 4 units. No claim that the model is correct or guarantees a trial is supplied. Statement: Under D515, the probability-weighted mean is 4 units.",
    "ainglish": "Shared definition supplied once for this stateless question: x is mean-outcome(D) asserts that x equals the probability-weighted arithmetic mean under D. x is likeliest-outcome(D) asserts that x has the highest aggregated outcome mass under D, with ties allowed. These definitions also govern the corresponding English phrases. They do not guarantee a trial result or certify the model. Fictional simulated inventory model D515, version v3 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive, exact rational masses, not rounded observations: value 2 units with mass 1/4; value 4 units with mass 1/2; value 6 units with mass 1/4. Add masses of paths with the same value. Mean is the probability-weighted arithmetic mean; most probable compares aggregated value masses and allows ties. Here x = 4 units. No claim that the model is correct or guarantees a trial is supplied. Statement: 4 units is mean-outcome(D515).",
    "question": "Evaluate the claim, whether x can actually occur, whether x alone is most probable, and whether the next result is guaranteed to equal x.",
    "options": [
      "Claim true: yes; x possible: yes; x unique most probable: yes; next result guaranteed x: yes.",
      "Claim true: yes; x possible: yes; x unique most probable: no; next result guaranteed x: yes.",
      "Claim true: yes; x possible: yes; x unique most probable: no; next result guaranteed x: no.",
      "Claim true: yes; x possible: no; x unique most probable: yes; next result guaranteed x: yes.",
      "Claim true: yes; x possible: no; x unique most probable: yes; next result guaranteed x: no.",
      "Claim true: yes; x possible: no; x unique most probable: no; next result guaranteed x: yes.",
      "Claim true: yes; x possible: no; x unique most probable: no; next result guaranteed x: no.",
      "Claim true: no; x possible: yes; x unique most probable: yes; next result guaranteed x: yes.",
      "Claim true: no; x possible: yes; x unique most probable: yes; next result guaranteed x: no.",
      "Claim true: no; x possible: yes; x unique most probable: no; next result guaranteed x: yes.",
      "Claim true: no; x possible: yes; x unique most probable: no; next result guaranteed x: no.",
      "Claim true: no; x possible: no; x unique most probable: yes; next result guaranteed x: yes.",
      "Claim true: no; x possible: no; x unique most probable: yes; next result guaranteed x: no.",
      "Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: yes.",
      "Claim true: yes; x possible: yes; x unique most probable: yes; next result guaranteed x: no.",
      "Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: no."
    ],
    "answer": "Claim true: yes; x possible: yes; x unique most probable: yes; next result guaranteed x: no.",
    "settlement_stratum": "mean-outcome",
    "domain": "simulated inventory",
    "boundary": "mean-is-mode",
    "variant": 2,
    "oracle": {
      "mean": "4",
      "modes": [
        "4"
      ],
      "value": "4",
      "flags": [
        true,
        true,
        true,
        false
      ],
      "masses": {
        "2": "1/4",
        "4": "1/2",
        "6": "1/4"
      }
    }
  },
  {
    "id": "outcome-careful-outcome-full-095",
    "english": "Shared definition supplied once for this stateless question: x is mean-outcome(D) asserts that x equals the probability-weighted arithmetic mean under D. x is likeliest-outcome(D) asserts that x has the highest aggregated outcome mass under D, with ties allowed. These definitions also govern the corresponding English phrases. They do not guarantee a trial result or certify the model. Fictional simulated inventory model D516, version v3 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive, exact rational masses, not rounded observations: value 3 units with mass 1/4; value 5 units with mass 1/2; value 7 units with mass 1/4. Add masses of paths with the same value. Mean is the probability-weighted arithmetic mean; most probable compares aggregated value masses and allows ties. Here x = 6 units. No claim that the model is correct or guarantees a trial is supplied. Statement: Under D516, the probability-weighted mean is 6 units.",
    "ainglish": "Shared definition supplied once for this stateless question: x is mean-outcome(D) asserts that x equals the probability-weighted arithmetic mean under D. x is likeliest-outcome(D) asserts that x has the highest aggregated outcome mass under D, with ties allowed. These definitions also govern the corresponding English phrases. They do not guarantee a trial result or certify the model. Fictional simulated inventory model D516, version v3 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive, exact rational masses, not rounded observations: value 3 units with mass 1/4; value 5 units with mass 1/2; value 7 units with mass 1/4. Add masses of paths with the same value. Mean is the probability-weighted arithmetic mean; most probable compares aggregated value masses and allows ties. Here x = 6 units. No claim that the model is correct or guarantees a trial is supplied. Statement: 6 units is mean-outcome(D516).",
    "question": "Evaluate the claim, whether x can actually occur, whether x alone is most probable, and whether the next result is guaranteed to equal x.",
    "options": [
      "Claim true: yes; x possible: yes; x unique most probable: yes; next result guaranteed x: yes.",
      "Claim true: yes; x possible: yes; x unique most probable: yes; next result guaranteed x: no.",
      "Claim true: yes; x possible: yes; x unique most probable: no; next result guaranteed x: yes.",
      "Claim true: yes; x possible: yes; x unique most probable: no; next result guaranteed x: no.",
      "Claim true: yes; x possible: no; x unique most probable: yes; next result guaranteed x: yes.",
      "Claim true: yes; x possible: no; x unique most probable: yes; next result guaranteed x: no.",
      "Claim true: yes; x possible: no; x unique most probable: no; next result guaranteed x: yes.",
      "Claim true: yes; x possible: no; x unique most probable: no; next result guaranteed x: no.",
      "Claim true: no; x possible: yes; x unique most probable: yes; next result guaranteed x: yes.",
      "Claim true: no; x possible: yes; x unique most probable: yes; next result guaranteed x: no.",
      "Claim true: no; x possible: yes; x unique most probable: no; next result guaranteed x: yes.",
      "Claim true: no; x possible: yes; x unique most probable: no; next result guaranteed x: no.",
      "Claim true: no; x possible: no; x unique most probable: yes; next result guaranteed x: yes.",
      "Claim true: no; x possible: no; x unique most probable: yes; next result guaranteed x: no.",
      "Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: yes.",
      "Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: no."
    ],
    "answer": "Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: no.",
    "settlement_stratum": "mean-outcome",
    "domain": "simulated inventory",
    "boundary": "mean-is-mode",
    "variant": 3,
    "oracle": {
      "mean": "5",
      "modes": [
        "5"
      ],
      "value": "6",
      "flags": [
        false,
        false,
        false,
        false
      ],
      "masses": {
        "3": "1/4",
        "5": "1/2",
        "7": "1/4"
      }
    }
  },
  {
    "id": "outcome-careful-outcome-full-096",
    "english": "Shared definition supplied once for this stateless question: x is mean-outcome(D) asserts that x equals the probability-weighted arithmetic mean under D. x is likeliest-outcome(D) asserts that x has the highest aggregated outcome mass under D, with ties allowed. These definitions also govern the corresponding English phrases. They do not guarantee a trial result or certify the model. Fictional simulated inventory model D517, version v3 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive, exact rational masses, not rounded observations: value 0 units with mass 1/5; value 4 units with mass 3/10; value 4 units with mass 3/10; value 8 units with mass 1/5. Add masses of paths with the same value. Mean is the probability-weighted arithmetic mean; most probable compares aggregated value masses and allows ties. Here x = 4 units. No claim that the model is correct or guarantees a trial is supplied. Statement: Under D517, the probability-weighted mean is 4 units.",
    "ainglish": "Shared definition supplied once for this stateless question: x is mean-outcome(D) asserts that x equals the probability-weighted arithmetic mean under D. x is likeliest-outcome(D) asserts that x has the highest aggregated outcome mass under D, with ties allowed. These definitions also govern the corresponding English phrases. They do not guarantee a trial result or certify the model. Fictional simulated inventory model D517, version v3 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive, exact rational masses, not rounded observations: value 0 units with mass 1/5; value 4 units with mass 3/10; value 4 units with mass 3/10; value 8 units with mass 1/5. Add masses of paths with the same value. Mean is the probability-weighted arithmetic mean; most probable compares aggregated value masses and allows ties. Here x = 4 units. No claim that the model is correct or guarantees a trial is supplied. Statement: 4 units is mean-outcome(D517).",
    "question": "Evaluate the claim, whether x can actually occur, whether x alone is most probable, and whether the next result is guaranteed to equal x.",
    "options": [
      "Claim true: yes; x possible: yes; x unique most probable: yes; next result guaranteed x: no.",
      "Claim true: yes; x possible: yes; x unique most probable: yes; next result guaranteed x: yes.",
      "Claim true: yes; x possible: yes; x unique most probable: no; next result guaranteed x: yes.",
      "Claim true: yes; x possible: yes; x unique most probable: no; next result guaranteed x: no.",
      "Claim true: yes; x possible: no; x unique most probable: yes; next result guaranteed x: yes.",
      "Claim true: yes; x possible: no; x unique most probable: yes; next result guaranteed x: no.",
      "Claim true: yes; x possible: no; x unique most probable: no; next result guaranteed x: yes.",
      "Claim true: yes; x possible: no; x unique most probable: no; next result guaranteed x: no.",
      "Claim true: no; x possible: yes; x unique most probable: yes; next result guaranteed x: yes.",
      "Claim true: no; x possible: yes; x unique most probable: yes; next result guaranteed x: no.",
      "Claim true: no; x possible: yes; x unique most probable: no; next result guaranteed x: yes.",
      "Claim true: no; x possible: yes; x unique most probable: no; next result guaranteed x: no.",
      "Claim true: no; x possible: no; x unique most probable: yes; next result guaranteed x: yes.",
      "Claim true: no; x possible: no; x unique most probable: yes; next result guaranteed x: no.",
      "Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: yes.",
      "Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: no."
    ],
    "answer": "Claim true: yes; x possible: yes; x unique most probable: yes; next result guaranteed x: no.",
    "settlement_stratum": "mean-outcome",
    "domain": "simulated inventory",
    "boundary": "aggregate-paths",
    "variant": 0,
    "oracle": {
      "mean": "4",
      "modes": [
        "4"
      ],
      "value": "4",
      "flags": [
        true,
        true,
        true,
        false
      ],
      "masses": {
        "0": "1/5",
        "4": "3/5",
        "8": "1/5"
      }
    }
  },
  {
    "id": "outcome-careful-outcome-full-097",
    "english": "Shared definition supplied once for this stateless question: x is mean-outcome(D) asserts that x equals the probability-weighted arithmetic mean under D. x is likeliest-outcome(D) asserts that x has the highest aggregated outcome mass under D, with ties allowed. These definitions also govern the corresponding English phrases. They do not guarantee a trial result or certify the model. Fictional simulated inventory model D518, version v3 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive, exact rational masses, not rounded observations: value 1 units with mass 1/5; value 5 units with mass 3/10; value 5 units with mass 3/10; value 9 units with mass 1/5. Add masses of paths with the same value. Mean is the probability-weighted arithmetic mean; most probable compares aggregated value masses and allows ties. Here x = 6 units. No claim that the model is correct or guarantees a trial is supplied. Statement: Under D518, the probability-weighted mean is 6 units.",
    "ainglish": "Shared definition supplied once for this stateless question: x is mean-outcome(D) asserts that x equals the probability-weighted arithmetic mean under D. x is likeliest-outcome(D) asserts that x has the highest aggregated outcome mass under D, with ties allowed. These definitions also govern the corresponding English phrases. They do not guarantee a trial result or certify the model. Fictional simulated inventory model D518, version v3 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive, exact rational masses, not rounded observations: value 1 units with mass 1/5; value 5 units with mass 3/10; value 5 units with mass 3/10; value 9 units with mass 1/5. Add masses of paths with the same value. Mean is the probability-weighted arithmetic mean; most probable compares aggregated value masses and allows ties. Here x = 6 units. No claim that the model is correct or guarantees a trial is supplied. Statement: 6 units is mean-outcome(D518).",
    "question": "Evaluate the claim, whether x can actually occur, whether x alone is most probable, and whether the next result is guaranteed to equal x.",
    "options": [
      "Claim true: yes; x possible: yes; x unique most probable: yes; next result guaranteed x: yes.",
      "Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: no.",
      "Claim true: yes; x possible: yes; x unique most probable: yes; next result guaranteed x: no.",
      "Claim true: yes; x possible: yes; x unique most probable: no; next result guaranteed x: yes.",
      "Claim true: yes; x possible: yes; x unique most probable: no; next result guaranteed x: no.",
      "Claim true: yes; x possible: no; x unique most probable: yes; next result guaranteed x: yes.",
      "Claim true: yes; x possible: no; x unique most probable: yes; next result guaranteed x: no.",
      "Claim true: yes; x possible: no; x unique most probable: no; next result guaranteed x: yes.",
      "Claim true: yes; x possible: no; x unique most probable: no; next result guaranteed x: no.",
      "Claim true: no; x possible: yes; x unique most probable: yes; next result guaranteed x: yes.",
      "Claim true: no; x possible: yes; x unique most probable: yes; next result guaranteed x: no.",
      "Claim true: no; x possible: yes; x unique most probable: no; next result guaranteed x: yes.",
      "Claim true: no; x possible: yes; x unique most probable: no; next result guaranteed x: no.",
      "Claim true: no; x possible: no; x unique most probable: yes; next result guaranteed x: yes.",
      "Claim true: no; x possible: no; x unique most probable: yes; next result guaranteed x: no.",
      "Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: yes."
    ],
    "answer": "Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: no.",
    "settlement_stratum": "mean-outcome",
    "domain": "simulated inventory",
    "boundary": "aggregate-paths",
    "variant": 1,
    "oracle": {
      "mean": "5",
      "modes": [
        "5"
      ],
      "value": "6",
      "flags": [
        false,
        false,
        false,
        false
      ],
      "masses": {
        "1": "1/5",
        "5": "3/5",
        "9": "1/5"
      }
    }
  },
  {
    "id": "outcome-careful-outcome-full-098",
    "english": "Shared definition supplied once for this stateless question: x is mean-outcome(D) asserts that x equals the probability-weighted arithmetic mean under D. x is likeliest-outcome(D) asserts that x has the highest aggregated outcome mass under D, with ties allowed. These definitions also govern the corresponding English phrases. They do not guarantee a trial result or certify the model. Fictional simulated inventory model D519, version v3 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive, exact rational masses, not rounded observations: value 2 units with mass 1/5; value 6 units with mass 3/10; value 6 units with mass 3/10; value 10 units with mass 1/5. Add masses of paths with the same value. Mean is the probability-weighted arithmetic mean; most probable compares aggregated value masses and allows ties. Here x = 6 units. No claim that the model is correct or guarantees a trial is supplied. Statement: Under D519, the probability-weighted mean is 6 units.",
    "ainglish": "Shared definition supplied once for this stateless question: x is mean-outcome(D) asserts that x equals the probability-weighted arithmetic mean under D. x is likeliest-outcome(D) asserts that x has the highest aggregated outcome mass under D, with ties allowed. These definitions also govern the corresponding English phrases. They do not guarantee a trial result or certify the model. Fictional simulated inventory model D519, version v3 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive, exact rational masses, not rounded observations: value 2 units with mass 1/5; value 6 units with mass 3/10; value 6 units with mass 3/10; value 10 units with mass 1/5. Add masses of paths with the same value. Mean is the probability-weighted arithmetic mean; most probable compares aggregated value masses and allows ties. Here x = 6 units. No claim that the model is correct or guarantees a trial is supplied. Statement: 6 units is mean-outcome(D519).",
    "question": "Evaluate the claim, whether x can actually occur, whether x alone is most probable, and whether the next result is guaranteed to equal x.",
    "options": [
      "Claim true: yes; x possible: yes; x unique most probable: yes; next result guaranteed x: yes.",
      "Claim true: yes; x possible: yes; x unique most probable: no; next result guaranteed x: yes.",
      "Claim true: yes; x possible: yes; x unique most probable: yes; next result guaranteed x: no.",
      "Claim true: yes; x possible: yes; x unique most probable: no; next result guaranteed x: no.",
      "Claim true: yes; x possible: no; x unique most probable: yes; next result guaranteed x: yes.",
      "Claim true: yes; x possible: no; x unique most probable: yes; next result guaranteed x: no.",
      "Claim true: yes; x possible: no; x unique most probable: no; next result guaranteed x: yes.",
      "Claim true: yes; x possible: no; x unique most probable: no; next result guaranteed x: no.",
      "Claim true: no; x possible: yes; x unique most probable: yes; next result guaranteed x: yes.",
      "Claim true: no; x possible: yes; x unique most probable: yes; next result guaranteed x: no.",
      "Claim true: no; x possible: yes; x unique most probable: no; next result guaranteed x: yes.",
      "Claim true: no; x possible: yes; x unique most probable: no; next result guaranteed x: no.",
      "Claim true: no; x possible: no; x unique most probable: yes; next result guaranteed x: yes.",
      "Claim true: no; x possible: no; x unique most probable: yes; next result guaranteed x: no.",
      "Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: yes.",
      "Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: no."
    ],
    "answer": "Claim true: yes; x possible: yes; x unique most probable: yes; next result guaranteed x: no.",
    "settlement_stratum": "mean-outcome",
    "domain": "simulated inventory",
    "boundary": "aggregate-paths",
    "variant": 2,
    "oracle": {
      "mean": "6",
      "modes": [
        "6"
      ],
      "value": "6",
      "flags": [
        true,
        true,
        true,
        false
      ],
      "masses": {
        "2": "1/5",
        "6": "3/5",
        "10": "1/5"
      }
    }
  },
  {
    "id": "outcome-careful-outcome-full-099",
    "english": "Shared definition supplied once for this stateless question: x is mean-outcome(D) asserts that x equals the probability-weighted arithmetic mean under D. x is likeliest-outcome(D) asserts that x has the highest aggregated outcome mass under D, with ties allowed. These definitions also govern the corresponding English phrases. They do not guarantee a trial result or certify the model. Fictional simulated inventory model D520, version v3 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive, exact rational masses, not rounded observations: value 3 units with mass 1/5; value 7 units with mass 3/10; value 7 units with mass 3/10; value 11 units with mass 1/5. Add masses of paths with the same value. Mean is the probability-weighted arithmetic mean; most probable compares aggregated value masses and allows ties. Here x = 8 units. No claim that the model is correct or guarantees a trial is supplied. Statement: Under D520, the probability-weighted mean is 8 units.",
    "ainglish": "Shared definition supplied once for this stateless question: x is mean-outcome(D) asserts that x equals the probability-weighted arithmetic mean under D. x is likeliest-outcome(D) asserts that x has the highest aggregated outcome mass under D, with ties allowed. These definitions also govern the corresponding English phrases. They do not guarantee a trial result or certify the model. Fictional simulated inventory model D520, version v3 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive, exact rational masses, not rounded observations: value 3 units with mass 1/5; value 7 units with mass 3/10; value 7 units with mass 3/10; value 11 units with mass 1/5. Add masses of paths with the same value. Mean is the probability-weighted arithmetic mean; most probable compares aggregated value masses and allows ties. Here x = 8 units. No claim that the model is correct or guarantees a trial is supplied. Statement: 8 units is mean-outcome(D520).",
    "question": "Evaluate the claim, whether x can actually occur, whether x alone is most probable, and whether the next result is guaranteed to equal x.",
    "options": [
      "Claim true: yes; x possible: yes; x unique most probable: yes; next result guaranteed x: yes.",
      "Claim true: yes; x possible: yes; x unique most probable: yes; next result guaranteed x: no.",
      "Claim true: yes; x possible: yes; x unique most probable: no; next result guaranteed x: yes.",
      "Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: no.",
      "Claim true: yes; x possible: yes; x unique most probable: no; next result guaranteed x: no.",
      "Claim true: yes; x possible: no; x unique most probable: yes; next result guaranteed x: yes.",
      "Claim true: yes; x possible: no; x unique most probable: yes; next result guaranteed x: no.",
      "Claim true: yes; x possible: no; x unique most probable: no; next result guaranteed x: yes.",
      "Claim true: yes; x possible: no; x unique most probable: no; next result guaranteed x: no.",
      "Claim true: no; x possible: yes; x unique most probable: yes; next result guaranteed x: yes.",
      "Claim true: no; x possible: yes; x unique most probable: yes; next result guaranteed x: no.",
      "Claim true: no; x possible: yes; x unique most probable: no; next result guaranteed x: yes.",
      "Claim true: no; x possible: yes; x unique most probable: no; next result guaranteed x: no.",
      "Claim true: no; x possible: no; x unique most probable: yes; next result guaranteed x: yes.",
      "Claim true: no; x possible: no; x unique most probable: yes; next result guaranteed x: no.",
      "Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: yes."
    ],
    "answer": "Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: no.",
    "settlement_stratum": "mean-outcome",
    "domain": "simulated inventory",
    "boundary": "aggregate-paths",
    "variant": 3,
    "oracle": {
      "mean": "7",
      "modes": [
        "7"
      ],
      "value": "8",
      "flags": [
        false,
        false,
        false,
        false
      ],
      "masses": {
        "3": "1/5",
        "7": "3/5",
        "11": "1/5"
      }
    }
  },
  {
    "id": "outcome-careful-outcome-full-100",
    "english": "Shared definition supplied once for this stateless question: x is mean-outcome(D) asserts that x equals the probability-weighted arithmetic mean under D. x is likeliest-outcome(D) asserts that x has the highest aggregated outcome mass under D, with ties allowed. These definitions also govern the corresponding English phrases. They do not guarantee a trial result or certify the model. Fictional generated batch size model D521, version v3 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive, exact rational masses, not rounded observations: value 0 units with mass 1/2; value 6 units with mass 1/2. Add masses of paths with the same value. Mean is the probability-weighted arithmetic mean; most probable compares aggregated value masses and allows ties. Here x = 3 units. No claim that the model is correct or guarantees a trial is supplied. Statement: Under D521, the probability-weighted mean is 3 units.",
    "ainglish": "Shared definition supplied once for this stateless question: x is mean-outcome(D) asserts that x equals the probability-weighted arithmetic mean under D. x is likeliest-outcome(D) asserts that x has the highest aggregated outcome mass under D, with ties allowed. These definitions also govern the corresponding English phrases. They do not guarantee a trial result or certify the model. Fictional generated batch size model D521, version v3 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive, exact rational masses, not rounded observations: value 0 units with mass 1/2; value 6 units with mass 1/2. Add masses of paths with the same value. Mean is the probability-weighted arithmetic mean; most probable compares aggregated value masses and allows ties. Here x = 3 units. No claim that the model is correct or guarantees a trial is supplied. Statement: 3 units is mean-outcome(D521).",
    "question": "Evaluate the claim, whether x can actually occur, whether x alone is most probable, and whether the next result is guaranteed to equal x.",
    "options": [
      "Claim true: yes; x possible: yes; x unique most probable: yes; next result guaranteed x: yes.",
      "Claim true: yes; x possible: yes; x unique most probable: yes; next result guaranteed x: no.",
      "Claim true: yes; x possible: yes; x unique most probable: no; next result guaranteed x: yes.",
      "Claim true: yes; x possible: yes; x unique most probable: no; next result guaranteed x: no.",
      "Claim true: yes; x possible: no; x unique most probable: no; next result guaranteed x: no.",
      "Claim true: yes; x possible: no; x unique most probable: yes; next result guaranteed x: yes.",
      "Claim true: yes; x possible: no; x unique most probable: yes; next result guaranteed x: no.",
      "Claim true: yes; x possible: no; x unique most probable: no; next result guaranteed x: yes.",
      "Claim true: no; x possible: yes; x unique most probable: yes; next result guaranteed x: yes.",
      "Claim true: no; x possible: yes; x unique most probable: yes; next result guaranteed x: no.",
      "Claim true: no; x possible: yes; x unique most probable: no; next result guaranteed x: yes.",
      "Claim true: no; x possible: yes; x unique most probable: no; next result guaranteed x: no.",
      "Claim true: no; x possible: no; x unique most probable: yes; next result guaranteed x: yes.",
      "Claim true: no; x possible: no; x unique most probable: yes; next result guaranteed x: no.",
      "Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: yes.",
      "Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: no."
    ],
    "answer": "Claim true: yes; x possible: no; x unique most probable: no; next result guaranteed x: no.",
    "settlement_stratum": "mean-outcome",
    "domain": "generated batch size",
    "boundary": "mean-outside",
    "variant": 0,
    "oracle": {
      "mean": "3",
      "modes": [
        "0",
        "6"
      ],
      "value": "3",
      "flags": [
        true,
        false,
        false,
        false
      ],
      "masses": {
        "0": "1/2",
        "6": "1/2"
      }
    }
  },
  {
    "id": "outcome-careful-outcome-full-101",
    "english": "Shared definition supplied once for this stateless question: x is mean-outcome(D) asserts that x equals the probability-weighted arithmetic mean under D. x is likeliest-outcome(D) asserts that x has the highest aggregated outcome mass under D, with ties allowed. These definitions also govern the corresponding English phrases. They do not guarantee a trial result or certify the model. Fictional generated batch size model D522, version v3 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive, exact rational masses, not rounded observations: value 1 units with mass 1/2; value 7 units with mass 1/2. Add masses of paths with the same value. Mean is the probability-weighted arithmetic mean; most probable compares aggregated value masses and allows ties. Here x = 5 units. No claim that the model is correct or guarantees a trial is supplied. Statement: Under D522, the probability-weighted mean is 5 units.",
    "ainglish": "Shared definition supplied once for this stateless question: x is mean-outcome(D) asserts that x equals the probability-weighted arithmetic mean under D. x is likeliest-outcome(D) asserts that x has the highest aggregated outcome mass under D, with ties allowed. These definitions also govern the corresponding English phrases. They do not guarantee a trial result or certify the model. Fictional generated batch size model D522, version v3 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive, exact rational masses, not rounded observations: value 1 units with mass 1/2; value 7 units with mass 1/2. Add masses of paths with the same value. Mean is the probability-weighted arithmetic mean; most probable compares aggregated value masses and allows ties. Here x = 5 units. No claim that the model is correct or guarantees a trial is supplied. Statement: 5 units is mean-outcome(D522).",
    "question": "Evaluate the claim, whether x can actually occur, whether x alone is most probable, and whether the next result is guaranteed to equal x.",
    "options": [
      "Claim true: yes; x possible: yes; x unique most probable: yes; next result guaranteed x: yes.",
      "Claim true: yes; x possible: yes; x unique most probable: yes; next result guaranteed x: no.",
      "Claim true: yes; x possible: yes; x unique most probable: no; next result guaranteed x: yes.",
      "Claim true: yes; x possible: yes; x unique most probable: no; next result guaranteed x: no.",
      "Claim true: yes; x possible: no; x unique most probable: yes; next result guaranteed x: yes.",
      "Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: no.",
      "Claim true: yes; x possible: no; x unique most probable: yes; next result guaranteed x: no.",
      "Claim true: yes; x possible: no; x unique most probable: no; next result guaranteed x: yes.",
      "Claim true: yes; x possible: no; x unique most probable: no; next result guaranteed x: no.",
      "Claim true: no; x possible: yes; x unique most probable: yes; next result guaranteed x: yes.",
      "Claim true: no; x possible: yes; x unique most probable: yes; next result guaranteed x: no.",
      "Claim true: no; x possible: yes; x unique most probable: no; next result guaranteed x: yes.",
      "Claim true: no; x possible: yes; x unique most probable: no; next result guaranteed x: no.",
      "Claim true: no; x possible: no; x unique most probable: yes; next result guaranteed x: yes.",
      "Claim true: no; x possible: no; x unique most probable: yes; next result guaranteed x: no.",
      "Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: yes."
    ],
    "answer": "Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: no.",
    "settlement_stratum": "mean-outcome",
    "domain": "generated batch size",
    "boundary": "mean-outside",
    "variant": 1,
    "oracle": {
      "mean": "4",
      "modes": [
        "1",
        "7"
      ],
      "value": "5",
      "flags": [
        false,
        false,
        false,
        false
      ],
      "masses": {
        "1": "1/2",
        "7": "1/2"
      }
    }
  },
  {
    "id": "outcome-careful-outcome-full-102",
    "english": "Shared definition supplied once for this stateless question: x is mean-outcome(D) asserts that x equals the probability-weighted arithmetic mean under D. x is likeliest-outcome(D) asserts that x has the highest aggregated outcome mass under D, with ties allowed. These definitions also govern the corresponding English phrases. They do not guarantee a trial result or certify the model. Fictional generated batch size model D523, version v3 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive, exact rational masses, not rounded observations: value 2 units with mass 1/2; value 8 units with mass 1/2. Add masses of paths with the same value. Mean is the probability-weighted arithmetic mean; most probable compares aggregated value masses and allows ties. Here x = 5 units. No claim that the model is correct or guarantees a trial is supplied. Statement: Under D523, the probability-weighted mean is 5 units.",
    "ainglish": "Shared definition supplied once for this stateless question: x is mean-outcome(D) asserts that x equals the probability-weighted arithmetic mean under D. x is likeliest-outcome(D) asserts that x has the highest aggregated outcome mass under D, with ties allowed. These definitions also govern the corresponding English phrases. They do not guarantee a trial result or certify the model. Fictional generated batch size model D523, version v3 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive, exact rational masses, not rounded observations: value 2 units with mass 1/2; value 8 units with mass 1/2. Add masses of paths with the same value. Mean is the probability-weighted arithmetic mean; most probable compares aggregated value masses and allows ties. Here x = 5 units. No claim that the model is correct or guarantees a trial is supplied. Statement: 5 units is mean-outcome(D523).",
    "question": "Evaluate the claim, whether x can actually occur, whether x alone is most probable, and whether the next result is guaranteed to equal x.",
    "options": [
      "Claim true: yes; x possible: yes; x unique most probable: yes; next result guaranteed x: yes.",
      "Claim true: yes; x possible: yes; x unique most probable: yes; next result guaranteed x: no.",
      "Claim true: yes; x possible: yes; x unique most probable: no; next result guaranteed x: yes.",
      "Claim true: yes; x possible: yes; x unique most probable: no; next result guaranteed x: no.",
      "Claim true: yes; x possible: no; x unique most probable: yes; next result guaranteed x: yes.",
      "Claim true: yes; x possible: no; x unique most probable: yes; next result guaranteed x: no.",
      "Claim true: yes; x possible: no; x unique most probable: no; next result guaranteed x: no.",
      "Claim true: yes; x possible: no; x unique most probable: no; next result guaranteed x: yes.",
      "Claim true: no; x possible: yes; x unique most probable: yes; next result guaranteed x: yes.",
      "Claim true: no; x possible: yes; x unique most probable: yes; next result guaranteed x: no.",
      "Claim true: no; x possible: yes; x unique most probable: no; next result guaranteed x: yes.",
      "Claim true: no; x possible: yes; x unique most probable: no; next result guaranteed x: no.",
      "Claim true: no; x possible: no; x unique most probable: yes; next result guaranteed x: yes.",
      "Claim true: no; x possible: no; x unique most probable: yes; next result guaranteed x: no.",
      "Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: yes.",
      "Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: no."
    ],
    "answer": "Claim true: yes; x possible: no; x unique most probable: no; next result guaranteed x: no.",
    "settlement_stratum": "mean-outcome",
    "domain": "generated batch size",
    "boundary": "mean-outside",
    "variant": 2,
    "oracle": {
      "mean": "5",
      "modes": [
        "2",
        "8"
      ],
      "value": "5",
      "flags": [
        true,
        false,
        false,
        false
      ],
      "masses": {
        "2": "1/2",
        "8": "1/2"
      }
    }
  },
  {
    "id": "outcome-careful-outcome-full-103",
    "english": "Shared definition supplied once for this stateless question: x is mean-outcome(D) asserts that x equals the probability-weighted arithmetic mean under D. x is likeliest-outcome(D) asserts that x has the highest aggregated outcome mass under D, with ties allowed. These definitions also govern the corresponding English phrases. They do not guarantee a trial result or certify the model. Fictional generated batch size model D524, version v3 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive, exact rational masses, not rounded observations: value 3 units with mass 1/2; value 9 units with mass 1/2. Add masses of paths with the same value. Mean is the probability-weighted arithmetic mean; most probable compares aggregated value masses and allows ties. Here x = 7 units. No claim that the model is correct or guarantees a trial is supplied. Statement: Under D524, the probability-weighted mean is 7 units.",
    "ainglish": "Shared definition supplied once for this stateless question: x is mean-outcome(D) asserts that x equals the probability-weighted arithmetic mean under D. x is likeliest-outcome(D) asserts that x has the highest aggregated outcome mass under D, with ties allowed. These definitions also govern the corresponding English phrases. They do not guarantee a trial result or certify the model. Fictional generated batch size model D524, version v3 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive, exact rational masses, not rounded observations: value 3 units with mass 1/2; value 9 units with mass 1/2. Add masses of paths with the same value. Mean is the probability-weighted arithmetic mean; most probable compares aggregated value masses and allows ties. Here x = 7 units. No claim that the model is correct or guarantees a trial is supplied. Statement: 7 units is mean-outcome(D524).",
    "question": "Evaluate the claim, whether x can actually occur, whether x alone is most probable, and whether the next result is guaranteed to equal x.",
    "options": [
      "Claim true: yes; x possible: yes; x unique most probable: yes; next result guaranteed x: yes.",
      "Claim true: yes; x possible: yes; x unique most probable: yes; next result guaranteed x: no.",
      "Claim true: yes; x possible: yes; x unique most probable: no; next result guaranteed x: yes.",
      "Claim true: yes; x possible: yes; x unique most probable: no; next result guaranteed x: no.",
      "Claim true: yes; x possible: no; x unique most probable: yes; next result guaranteed x: yes.",
      "Claim true: yes; x possible: no; x unique most probable: yes; next result guaranteed x: no.",
      "Claim true: yes; x possible: no; x unique most probable: no; next result guaranteed x: yes.",
      "Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: no.",
      "Claim true: yes; x possible: no; x unique most probable: no; next result guaranteed x: no.",
      "Claim true: no; x possible: yes; x unique most probable: yes; next result guaranteed x: yes.",
      "Claim true: no; x possible: yes; x unique most probable: yes; next result guaranteed x: no.",
      "Claim true: no; x possible: yes; x unique most probable: no; next result guaranteed x: yes.",
      "Claim true: no; x possible: yes; x unique most probable: no; next result guaranteed x: no.",
      "Claim true: no; x possible: no; x unique most probable: yes; next result guaranteed x: yes.",
      "Claim true: no; x possible: no; x unique most probable: yes; next result guaranteed x: no.",
      "Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: yes."
    ],
    "answer": "Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: no.",
    "settlement_stratum": "mean-outcome",
    "domain": "generated batch size",
    "boundary": "mean-outside",
    "variant": 3,
    "oracle": {
      "mean": "6",
      "modes": [
        "3",
        "9"
      ],
      "value": "7",
      "flags": [
        false,
        false,
        false,
        false
      ],
      "masses": {
        "3": "1/2",
        "9": "1/2"
      }
    }
  },
  {
    "id": "outcome-careful-outcome-full-104",
    "english": "Shared definition supplied once for this stateless question: x is mean-outcome(D) asserts that x equals the probability-weighted arithmetic mean under D. x is likeliest-outcome(D) asserts that x has the highest aggregated outcome mass under D, with ties allowed. These definitions also govern the corresponding English phrases. They do not guarantee a trial result or certify the model. Fictional generated batch size model D525, version v3 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive, exact rational masses, not rounded observations: value 0 units with mass 2/5; value 2 units with mass 3/10; value 5 units with mass 3/10. Add masses of paths with the same value. Mean is the probability-weighted arithmetic mean; most probable compares aggregated value masses and allows ties. Here x = 21/10 units. No claim that the model is correct or guarantees a trial is supplied. Statement: Under D525, the probability-weighted mean is 21/10 units.",
    "ainglish": "Shared definition supplied once for this stateless question: x is mean-outcome(D) asserts that x equals the probability-weighted arithmetic mean under D. x is likeliest-outcome(D) asserts that x has the highest aggregated outcome mass under D, with ties allowed. These definitions also govern the corresponding English phrases. They do not guarantee a trial result or certify the model. Fictional generated batch size model D525, version v3 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive, exact rational masses, not rounded observations: value 0 units with mass 2/5; value 2 units with mass 3/10; value 5 units with mass 3/10. Add masses of paths with the same value. Mean is the probability-weighted arithmetic mean; most probable compares aggregated value masses and allows ties. Here x = 21/10 units. No claim that the model is correct or guarantees a trial is supplied. Statement: 21/10 units is mean-outcome(D525).",
    "question": "Evaluate the claim, whether x can actually occur, whether x alone is most probable, and whether the next result is guaranteed to equal x.",
    "options": [
      "Claim true: yes; x possible: yes; x unique most probable: yes; next result guaranteed x: yes.",
      "Claim true: yes; x possible: yes; x unique most probable: yes; next result guaranteed x: no.",
      "Claim true: yes; x possible: yes; x unique most probable: no; next result guaranteed x: yes.",
      "Claim true: yes; x possible: yes; x unique most probable: no; next result guaranteed x: no.",
      "Claim true: yes; x possible: no; x unique most probable: yes; next result guaranteed x: yes.",
      "Claim true: yes; x possible: no; x unique most probable: yes; next result guaranteed x: no.",
      "Claim true: yes; x possible: no; x unique most probable: no; next result guaranteed x: yes.",
      "Claim true: no; x possible: yes; x unique most probable: yes; next result guaranteed x: yes.",
      "Claim true: yes; x possible: no; x unique most probable: no; next result guaranteed x: no.",
      "Claim true: no; x possible: yes; x unique most probable: yes; next result guaranteed x: no.",
      "Claim true: no; x possible: yes; x unique most probable: no; next result guaranteed x: yes.",
      "Claim true: no; x possible: yes; x unique most probable: no; next result guaranteed x: no.",
      "Claim true: no; x possible: no; x unique most probable: yes; next result guaranteed x: yes.",
      "Claim true: no; x possible: no; x unique most probable: yes; next result guaranteed x: no.",
      "Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: yes.",
      "Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: no."
    ],
    "answer": "Claim true: yes; x possible: no; x unique most probable: no; next result guaranteed x: no.",
    "settlement_stratum": "mean-outcome",
    "domain": "generated batch size",
    "boundary": "mode-below-half",
    "variant": 0,
    "oracle": {
      "mean": "21/10",
      "modes": [
        "0"
      ],
      "value": "21/10",
      "flags": [
        true,
        false,
        false,
        false
      ],
      "masses": {
        "0": "2/5",
        "2": "3/10",
        "5": "3/10"
      }
    }
  },
  {
    "id": "outcome-careful-outcome-full-105",
    "english": "Shared definition supplied once for this stateless question: x is mean-outcome(D) asserts that x equals the probability-weighted arithmetic mean under D. x is likeliest-outcome(D) asserts that x has the highest aggregated outcome mass under D, with ties allowed. These definitions also govern the corresponding English phrases. They do not guarantee a trial result or certify the model. Fictional generated batch size model D526, version v3 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive, exact rational masses, not rounded observations: value 1 units with mass 2/5; value 3 units with mass 3/10; value 6 units with mass 3/10. Add masses of paths with the same value. Mean is the probability-weighted arithmetic mean; most probable compares aggregated value masses and allows ties. Here x = 41/10 units. No claim that the model is correct or guarantees a trial is supplied. Statement: Under D526, the probability-weighted mean is 41/10 units.",
    "ainglish": "Shared definition supplied once for this stateless question: x is mean-outcome(D) asserts that x equals the probability-weighted arithmetic mean under D. x is likeliest-outcome(D) asserts that x has the highest aggregated outcome mass under D, with ties allowed. These definitions also govern the corresponding English phrases. They do not guarantee a trial result or certify the model. Fictional generated batch size model D526, version v3 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive, exact rational masses, not rounded observations: value 1 units with mass 2/5; value 3 units with mass 3/10; value 6 units with mass 3/10. Add masses of paths with the same value. Mean is the probability-weighted arithmetic mean; most probable compares aggregated value masses and allows ties. Here x = 41/10 units. No claim that the model is correct or guarantees a trial is supplied. Statement: 41/10 units is mean-outcome(D526).",
    "question": "Evaluate the claim, whether x can actually occur, whether x alone is most probable, and whether the next result is guaranteed to equal x.",
    "options": [
      "Claim true: yes; x possible: yes; x unique most probable: yes; next result guaranteed x: yes.",
      "Claim true: yes; x possible: yes; x unique most probable: yes; next result guaranteed x: no.",
      "Claim true: yes; x possible: yes; x unique most probable: no; next result guaranteed x: yes.",
      "Claim true: yes; x possible: yes; x unique most probable: no; next result guaranteed x: no.",
      "Claim true: yes; x possible: no; x unique most probable: yes; next result guaranteed x: yes.",
      "Claim true: yes; x possible: no; x unique most probable: yes; next result guaranteed x: no.",
      "Claim true: yes; x possible: no; x unique most probable: no; next result guaranteed x: yes.",
      "Claim true: yes; x possible: no; x unique most probable: no; next result guaranteed x: no.",
      "Claim true: no; x possible: yes; x unique most probable: yes; next result guaranteed x: yes.",
      "Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: no.",
      "Claim true: no; x possible: yes; x unique most probable: yes; next result guaranteed x: no.",
      "Claim true: no; x possible: yes; x unique most probable: no; next result guaranteed x: yes.",
      "Claim true: no; x possible: yes; x unique most probable: no; next result guaranteed x: no.",
      "Claim true: no; x possible: no; x unique most probable: yes; next result guaranteed x: yes.",
      "Claim true: no; x possible: no; x unique most probable: yes; next result guaranteed x: no.",
      "Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: yes."
    ],
    "answer": "Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: no.",
    "settlement_stratum": "mean-outcome",
    "domain": "generated batch size",
    "boundary": "mode-below-half",
    "variant": 1,
    "oracle": {
      "mean": "31/10",
      "modes": [
        "1"
      ],
      "value": "41/10",
      "flags": [
        false,
        false,
        false,
        false
      ],
      "masses": {
        "1": "2/5",
        "3": "3/10",
        "6": "3/10"
      }
    }
  },
  {
    "id": "outcome-careful-outcome-full-106",
    "english": "Shared definition supplied once for this stateless question: x is mean-outcome(D) asserts that x equals the probability-weighted arithmetic mean under D. x is likeliest-outcome(D) asserts that x has the highest aggregated outcome mass under D, with ties allowed. These definitions also govern the corresponding English phrases. They do not guarantee a trial result or certify the model. Fictional generated batch size model D527, version v3 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive, exact rational masses, not rounded observations: value 2 units with mass 2/5; value 4 units with mass 3/10; value 7 units with mass 3/10. Add masses of paths with the same value. Mean is the probability-weighted arithmetic mean; most probable compares aggregated value masses and allows ties. Here x = 41/10 units. No claim that the model is correct or guarantees a trial is supplied. Statement: Under D527, the probability-weighted mean is 41/10 units.",
    "ainglish": "Shared definition supplied once for this stateless question: x is mean-outcome(D) asserts that x equals the probability-weighted arithmetic mean under D. x is likeliest-outcome(D) asserts that x has the highest aggregated outcome mass under D, with ties allowed. These definitions also govern the corresponding English phrases. They do not guarantee a trial result or certify the model. Fictional generated batch size model D527, version v3 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive, exact rational masses, not rounded observations: value 2 units with mass 2/5; value 4 units with mass 3/10; value 7 units with mass 3/10. Add masses of paths with the same value. Mean is the probability-weighted arithmetic mean; most probable compares aggregated value masses and allows ties. Here x = 41/10 units. No claim that the model is correct or guarantees a trial is supplied. Statement: 41/10 units is mean-outcome(D527).",
    "question": "Evaluate the claim, whether x can actually occur, whether x alone is most probable, and whether the next result is guaranteed to equal x.",
    "options": [
      "Claim true: yes; x possible: yes; x unique most probable: yes; next result guaranteed x: yes.",
      "Claim true: yes; x possible: yes; x unique most probable: yes; next result guaranteed x: no.",
      "Claim true: yes; x possible: yes; x unique most probable: no; next result guaranteed x: yes.",
      "Claim true: yes; x possible: yes; x unique most probable: no; next result guaranteed x: no.",
      "Claim true: yes; x possible: no; x unique most probable: yes; next result guaranteed x: yes.",
      "Claim true: yes; x possible: no; x unique most probable: yes; next result guaranteed x: no.",
      "Claim true: yes; x possible: no; x unique most probable: no; next result guaranteed x: yes.",
      "Claim true: no; x possible: yes; x unique most probable: yes; next result guaranteed x: yes.",
      "Claim true: no; x possible: yes; x unique most probable: yes; next result guaranteed x: no.",
      "Claim true: no; x possible: yes; x unique most probable: no; next result guaranteed x: yes.",
      "Claim true: yes; x possible: no; x unique most probable: no; next result guaranteed x: no.",
      "Claim true: no; x possible: yes; x unique most probable: no; next result guaranteed x: no.",
      "Claim true: no; x possible: no; x unique most probable: yes; next result guaranteed x: yes.",
      "Claim true: no; x possible: no; x unique most probable: yes; next result guaranteed x: no.",
      "Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: yes.",
      "Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: no."
    ],
    "answer": "Claim true: yes; x possible: no; x unique most probable: no; next result guaranteed x: no.",
    "settlement_stratum": "mean-outcome",
    "domain": "generated batch size",
    "boundary": "mode-below-half",
    "variant": 2,
    "oracle": {
      "mean": "41/10",
      "modes": [
        "2"
      ],
      "value": "41/10",
      "flags": [
        true,
        false,
        false,
        false
      ],
      "masses": {
        "2": "2/5",
        "4": "3/10",
        "7": "3/10"
      }
    }
  },
  {
    "id": "outcome-careful-outcome-full-107",
    "english": "Shared definition supplied once for this stateless question: x is mean-outcome(D) asserts that x equals the probability-weighted arithmetic mean under D. x is likeliest-outcome(D) asserts that x has the highest aggregated outcome mass under D, with ties allowed. These definitions also govern the corresponding English phrases. They do not guarantee a trial result or certify the model. Fictional generated batch size model D528, version v3 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive, exact rational masses, not rounded observations: value 3 units with mass 2/5; value 5 units with mass 3/10; value 8 units with mass 3/10. Add masses of paths with the same value. Mean is the probability-weighted arithmetic mean; most probable compares aggregated value masses and allows ties. Here x = 61/10 units. No claim that the model is correct or guarantees a trial is supplied. Statement: Under D528, the probability-weighted mean is 61/10 units.",
    "ainglish": "Shared definition supplied once for this stateless question: x is mean-outcome(D) asserts that x equals the probability-weighted arithmetic mean under D. x is likeliest-outcome(D) asserts that x has the highest aggregated outcome mass under D, with ties allowed. These definitions also govern the corresponding English phrases. They do not guarantee a trial result or certify the model. Fictional generated batch size model D528, version v3 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive, exact rational masses, not rounded observations: value 3 units with mass 2/5; value 5 units with mass 3/10; value 8 units with mass 3/10. Add masses of paths with the same value. Mean is the probability-weighted arithmetic mean; most probable compares aggregated value masses and allows ties. Here x = 61/10 units. No claim that the model is correct or guarantees a trial is supplied. Statement: 61/10 units is mean-outcome(D528).",
    "question": "Evaluate the claim, whether x can actually occur, whether x alone is most probable, and whether the next result is guaranteed to equal x.",
    "options": [
      "Claim true: yes; x possible: yes; x unique most probable: yes; next result guaranteed x: yes.",
      "Claim true: yes; x possible: yes; x unique most probable: yes; next result guaranteed x: no.",
      "Claim true: yes; x possible: yes; x unique most probable: no; next result guaranteed x: yes.",
      "Claim true: yes; x possible: yes; x unique most probable: no; next result guaranteed x: no.",
      "Claim true: yes; x possible: no; x unique most probable: yes; next result guaranteed x: yes.",
      "Claim true: yes; x possible: no; x unique most probable: yes; next result guaranteed x: no.",
      "Claim true: yes; x possible: no; x unique most probable: no; next result guaranteed x: yes.",
      "Claim true: yes; x possible: no; x unique most probable: no; next result guaranteed x: no.",
      "Claim true: no; x possible: yes; x unique most probable: yes; next result guaranteed x: yes.",
      "Claim true: no; x possible: yes; x unique most probable: yes; next result guaranteed x: no.",
      "Claim true: no; x possible: yes; x unique most probable: no; next result guaranteed x: yes.",
      "Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: no.",
      "Claim true: no; x possible: yes; x unique most probable: no; next result guaranteed x: no.",
      "Claim true: no; x possible: no; x unique most probable: yes; next result guaranteed x: yes.",
      "Claim true: no; x possible: no; x unique most probable: yes; next result guaranteed x: no.",
      "Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: yes."
    ],
    "answer": "Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: no.",
    "settlement_stratum": "mean-outcome",
    "domain": "generated batch size",
    "boundary": "mode-below-half",
    "variant": 3,
    "oracle": {
      "mean": "51/10",
      "modes": [
        "3"
      ],
      "value": "61/10",
      "flags": [
        false,
        false,
        false,
        false
      ],
      "masses": {
        "3": "2/5",
        "5": "3/10",
        "8": "3/10"
      }
    }
  },
  {
    "id": "outcome-careful-outcome-full-108",
    "english": "Shared definition supplied once for this stateless question: x is mean-outcome(D) asserts that x equals the probability-weighted arithmetic mean under D. x is likeliest-outcome(D) asserts that x has the highest aggregated outcome mass under D, with ties allowed. These definitions also govern the corresponding English phrases. They do not guarantee a trial result or certify the model. Fictional generated batch size model D529, version v3 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive, exact rational masses, not rounded observations: value 1 units with mass 2/5; value 3 units with mass 2/5; value 7 units with mass 1/5. Add masses of paths with the same value. Mean is the probability-weighted arithmetic mean; most probable compares aggregated value masses and allows ties. Here x = 3 units. No claim that the model is correct or guarantees a trial is supplied. Statement: Under D529, the probability-weighted mean is 3 units.",
    "ainglish": "Shared definition supplied once for this stateless question: x is mean-outcome(D) asserts that x equals the probability-weighted arithmetic mean under D. x is likeliest-outcome(D) asserts that x has the highest aggregated outcome mass under D, with ties allowed. These definitions also govern the corresponding English phrases. They do not guarantee a trial result or certify the model. Fictional generated batch size model D529, version v3 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive, exact rational masses, not rounded observations: value 1 units with mass 2/5; value 3 units with mass 2/5; value 7 units with mass 1/5. Add masses of paths with the same value. Mean is the probability-weighted arithmetic mean; most probable compares aggregated value masses and allows ties. Here x = 3 units. No claim that the model is correct or guarantees a trial is supplied. Statement: 3 units is mean-outcome(D529).",
    "question": "Evaluate the claim, whether x can actually occur, whether x alone is most probable, and whether the next result is guaranteed to equal x.",
    "options": [
      "Claim true: yes; x possible: yes; x unique most probable: yes; next result guaranteed x: yes.",
      "Claim true: yes; x possible: yes; x unique most probable: yes; next result guaranteed x: no.",
      "Claim true: yes; x possible: yes; x unique most probable: no; next result guaranteed x: yes.",
      "Claim true: yes; x possible: no; x unique most probable: yes; next result guaranteed x: yes.",
      "Claim true: yes; x possible: no; x unique most probable: yes; next result guaranteed x: no.",
      "Claim true: yes; x possible: no; x unique most probable: no; next result guaranteed x: yes.",
      "Claim true: yes; x possible: no; x unique most probable: no; next result guaranteed x: no.",
      "Claim true: no; x possible: yes; x unique most probable: yes; next result guaranteed x: yes.",
      "Claim true: no; x possible: yes; x unique most probable: yes; next result guaranteed x: no.",
      "Claim true: no; x possible: yes; x unique most probable: no; next result guaranteed x: yes.",
      "Claim true: no; x possible: yes; x unique most probable: no; next result guaranteed x: no.",
      "Claim true: no; x possible: no; x unique most probable: yes; next result guaranteed x: yes.",
      "Claim true: yes; x possible: yes; x unique most probable: no; next result guaranteed x: no.",
      "Claim true: no; x possible: no; x unique most probable: yes; next result guaranteed x: no.",
      "Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: yes.",
      "Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: no."
    ],
    "answer": "Claim true: yes; x possible: yes; x unique most probable: no; next result guaranteed x: no.",
    "settlement_stratum": "mean-outcome",
    "domain": "generated batch size",
    "boundary": "tied-modes",
    "variant": 0,
    "oracle": {
      "mean": "3",
      "modes": [
        "1",
        "3"
      ],
      "value": "3",
      "flags": [
        true,
        true,
        false,
        false
      ],
      "masses": {
        "1": "2/5",
        "3": "2/5",
        "7": "1/5"
      }
    }
  },
  {
    "id": "outcome-careful-outcome-full-109",
    "english": "Shared definition supplied once for this stateless question: x is mean-outcome(D) asserts that x equals the probability-weighted arithmetic mean under D. x is likeliest-outcome(D) asserts that x has the highest aggregated outcome mass under D, with ties allowed. These definitions also govern the corresponding English phrases. They do not guarantee a trial result or certify the model. Fictional generated batch size model D530, version v3 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive, exact rational masses, not rounded observations: value 2 units with mass 2/5; value 4 units with mass 2/5; value 8 units with mass 1/5. Add masses of paths with the same value. Mean is the probability-weighted arithmetic mean; most probable compares aggregated value masses and allows ties. Here x = 5 units. No claim that the model is correct or guarantees a trial is supplied. Statement: Under D530, the probability-weighted mean is 5 units.",
    "ainglish": "Shared definition supplied once for this stateless question: x is mean-outcome(D) asserts that x equals the probability-weighted arithmetic mean under D. x is likeliest-outcome(D) asserts that x has the highest aggregated outcome mass under D, with ties allowed. These definitions also govern the corresponding English phrases. They do not guarantee a trial result or certify the model. Fictional generated batch size model D530, version v3 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive, exact rational masses, not rounded observations: value 2 units with mass 2/5; value 4 units with mass 2/5; value 8 units with mass 1/5. Add masses of paths with the same value. Mean is the probability-weighted arithmetic mean; most probable compares aggregated value masses and allows ties. Here x = 5 units. No claim that the model is correct or guarantees a trial is supplied. Statement: 5 units is mean-outcome(D530).",
    "question": "Evaluate the claim, whether x can actually occur, whether x alone is most probable, and whether the next result is guaranteed to equal x.",
    "options": [
      "Claim true: yes; x possible: yes; x unique most probable: yes; next result guaranteed x: yes.",
      "Claim true: yes; x possible: yes; x unique most probable: yes; next result guaranteed x: no.",
      "Claim true: yes; x possible: yes; x unique most probable: no; next result guaranteed x: yes.",
      "Claim true: yes; x possible: yes; x unique most probable: no; next result guaranteed x: no.",
      "Claim true: yes; x possible: no; x unique most probable: yes; next result guaranteed x: yes.",
      "Claim true: yes; x possible: no; x unique most probable: yes; next result guaranteed x: no.",
      "Claim true: yes; x possible: no; x unique most probable: no; next result guaranteed x: yes.",
      "Claim true: yes; x possible: no; x unique most probable: no; next result guaranteed x: no.",
      "Claim true: no; x possible: yes; x unique most probable: yes; next result guaranteed x: yes.",
      "Claim true: no; x possible: yes; x unique most probable: yes; next result guaranteed x: no.",
      "Claim true: no; x possible: yes; x unique most probable: no; next result guaranteed x: yes.",
      "Claim true: no; x possible: yes; x unique most probable: no; next result guaranteed x: no.",
      "Claim true: no; x possible: no; x unique most probable: yes; next result guaranteed x: yes.",
      "Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: no.",
      "Claim true: no; x possible: no; x unique most probable: yes; next result guaranteed x: no.",
      "Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: yes."
    ],
    "answer": "Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: no.",
    "settlement_stratum": "mean-outcome",
    "domain": "generated batch size",
    "boundary": "tied-modes",
    "variant": 1,
    "oracle": {
      "mean": "4",
      "modes": [
        "2",
        "4"
      ],
      "value": "5",
      "flags": [
        false,
        false,
        false,
        false
      ],
      "masses": {
        "2": "2/5",
        "4": "2/5",
        "8": "1/5"
      }
    }
  },
  {
    "id": "outcome-careful-outcome-full-110",
    "english": "Shared definition supplied once for this stateless question: x is mean-outcome(D) asserts that x equals the probability-weighted arithmetic mean under D. x is likeliest-outcome(D) asserts that x has the highest aggregated outcome mass under D, with ties allowed. These definitions also govern the corresponding English phrases. They do not guarantee a trial result or certify the model. Fictional generated batch size model D531, version v3 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive, exact rational masses, not rounded observations: value 3 units with mass 2/5; value 5 units with mass 2/5; value 9 units with mass 1/5. Add masses of paths with the same value. Mean is the probability-weighted arithmetic mean; most probable compares aggregated value masses and allows ties. Here x = 5 units. No claim that the model is correct or guarantees a trial is supplied. Statement: Under D531, the probability-weighted mean is 5 units.",
    "ainglish": "Shared definition supplied once for this stateless question: x is mean-outcome(D) asserts that x equals the probability-weighted arithmetic mean under D. x is likeliest-outcome(D) asserts that x has the highest aggregated outcome mass under D, with ties allowed. These definitions also govern the corresponding English phrases. They do not guarantee a trial result or certify the model. Fictional generated batch size model D531, version v3 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive, exact rational masses, not rounded observations: value 3 units with mass 2/5; value 5 units with mass 2/5; value 9 units with mass 1/5. Add masses of paths with the same value. Mean is the probability-weighted arithmetic mean; most probable compares aggregated value masses and allows ties. Here x = 5 units. No claim that the model is correct or guarantees a trial is supplied. Statement: 5 units is mean-outcome(D531).",
    "question": "Evaluate the claim, whether x can actually occur, whether x alone is most probable, and whether the next result is guaranteed to equal x.",
    "options": [
      "Claim true: yes; x possible: yes; x unique most probable: yes; next result guaranteed x: yes.",
      "Claim true: yes; x possible: yes; x unique most probable: yes; next result guaranteed x: no.",
      "Claim true: yes; x possible: yes; x unique most probable: no; next result guaranteed x: yes.",
      "Claim true: yes; x possible: no; x unique most probable: yes; next result guaranteed x: yes.",
      "Claim true: yes; x possible: no; x unique most probable: yes; next result guaranteed x: no.",
      "Claim true: yes; x possible: no; x unique most probable: no; next result guaranteed x: yes.",
      "Claim true: yes; x possible: no; x unique most probable: no; next result guaranteed x: no.",
      "Claim true: no; x possible: yes; x unique most probable: yes; next result guaranteed x: yes.",
      "Claim true: no; x possible: yes; x unique most probable: yes; next result guaranteed x: no.",
      "Claim true: no; x possible: yes; x unique most probable: no; next result guaranteed x: yes.",
      "Claim true: no; x possible: yes; x unique most probable: no; next result guaranteed x: no.",
      "Claim true: no; x possible: no; x unique most probable: yes; next result guaranteed x: yes.",
      "Claim true: no; x possible: no; x unique most probable: yes; next result guaranteed x: no.",
      "Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: yes.",
      "Claim true: yes; x possible: yes; x unique most probable: no; next result guaranteed x: no.",
      "Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: no."
    ],
    "answer": "Claim true: yes; x possible: yes; x unique most probable: no; next result guaranteed x: no.",
    "settlement_stratum": "mean-outcome",
    "domain": "generated batch size",
    "boundary": "tied-modes",
    "variant": 2,
    "oracle": {
      "mean": "5",
      "modes": [
        "3",
        "5"
      ],
      "value": "5",
      "flags": [
        true,
        true,
        false,
        false
      ],
      "masses": {
        "3": "2/5",
        "5": "2/5",
        "9": "1/5"
      }
    }
  },
  {
    "id": "outcome-careful-outcome-full-111",
    "english": "Shared definition supplied once for this stateless question: x is mean-outcome(D) asserts that x equals the probability-weighted arithmetic mean under D. x is likeliest-outcome(D) asserts that x has the highest aggregated outcome mass under D, with ties allowed. These definitions also govern the corresponding English phrases. They do not guarantee a trial result or certify the model. Fictional generated batch size model D532, version v3 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive, exact rational masses, not rounded observations: value 4 units with mass 2/5; value 6 units with mass 2/5; value 10 units with mass 1/5. Add masses of paths with the same value. Mean is the probability-weighted arithmetic mean; most probable compares aggregated value masses and allows ties. Here x = 7 units. No claim that the model is correct or guarantees a trial is supplied. Statement: Under D532, the probability-weighted mean is 7 units.",
    "ainglish": "Shared definition supplied once for this stateless question: x is mean-outcome(D) asserts that x equals the probability-weighted arithmetic mean under D. x is likeliest-outcome(D) asserts that x has the highest aggregated outcome mass under D, with ties allowed. These definitions also govern the corresponding English phrases. They do not guarantee a trial result or certify the model. Fictional generated batch size model D532, version v3 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive, exact rational masses, not rounded observations: value 4 units with mass 2/5; value 6 units with mass 2/5; value 10 units with mass 1/5. Add masses of paths with the same value. Mean is the probability-weighted arithmetic mean; most probable compares aggregated value masses and allows ties. Here x = 7 units. No claim that the model is correct or guarantees a trial is supplied. Statement: 7 units is mean-outcome(D532).",
    "question": "Evaluate the claim, whether x can actually occur, whether x alone is most probable, and whether the next result is guaranteed to equal x.",
    "options": [
      "Claim true: yes; x possible: yes; x unique most probable: yes; next result guaranteed x: yes.",
      "Claim true: yes; x possible: yes; x unique most probable: yes; next result guaranteed x: no.",
      "Claim true: yes; x possible: yes; x unique most probable: no; next result guaranteed x: yes.",
      "Claim true: yes; x possible: yes; x unique most probable: no; next result guaranteed x: no.",
      "Claim true: yes; x possible: no; x unique most probable: yes; next result guaranteed x: yes.",
      "Claim true: yes; x possible: no; x unique most probable: yes; next result guaranteed x: no.",
      "Claim true: yes; x possible: no; x unique most probable: no; next result guaranteed x: yes.",
      "Claim true: yes; x possible: no; x unique most probable: no; next result guaranteed x: no.",
      "Claim true: no; x possible: yes; x unique most probable: yes; next result guaranteed x: yes.",
      "Claim true: no; x possible: yes; x unique most probable: yes; next result guaranteed x: no.",
      "Claim true: no; x possible: yes; x unique most probable: no; next result guaranteed x: yes.",
      "Claim true: no; x possible: yes; x unique most probable: no; next result guaranteed x: no.",
      "Claim true: no; x possible: no; x unique most probable: yes; next result guaranteed x: yes.",
      "Claim true: no; x possible: no; x unique most probable: yes; next result guaranteed x: no.",
      "Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: yes.",
      "Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: no."
    ],
    "answer": "Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: no.",
    "settlement_stratum": "mean-outcome",
    "domain": "generated batch size",
    "boundary": "tied-modes",
    "variant": 3,
    "oracle": {
      "mean": "6",
      "modes": [
        "4",
        "6"
      ],
      "value": "7",
      "flags": [
        false,
        false,
        false,
        false
      ],
      "masses": {
        "4": "2/5",
        "6": "2/5",
        "10": "1/5"
      }
    }
  },
  {
    "id": "outcome-careful-outcome-full-112",
    "english": "Shared definition supplied once for this stateless question: x is mean-outcome(D) asserts that x equals the probability-weighted arithmetic mean under D. x is likeliest-outcome(D) asserts that x has the highest aggregated outcome mass under D, with ties allowed. These definitions also govern the corresponding English phrases. They do not guarantee a trial result or certify the model. Fictional generated batch size model D533, version v3 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive, exact rational masses, not rounded observations: value 0 units with mass 1/4; value 2 units with mass 1/2; value 4 units with mass 1/4. Add masses of paths with the same value. Mean is the probability-weighted arithmetic mean; most probable compares aggregated value masses and allows ties. Here x = 2 units. No claim that the model is correct or guarantees a trial is supplied. Statement: Under D533, the probability-weighted mean is 2 units.",
    "ainglish": "Shared definition supplied once for this stateless question: x is mean-outcome(D) asserts that x equals the probability-weighted arithmetic mean under D. x is likeliest-outcome(D) asserts that x has the highest aggregated outcome mass under D, with ties allowed. These definitions also govern the corresponding English phrases. They do not guarantee a trial result or certify the model. Fictional generated batch size model D533, version v3 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive, exact rational masses, not rounded observations: value 0 units with mass 1/4; value 2 units with mass 1/2; value 4 units with mass 1/4. Add masses of paths with the same value. Mean is the probability-weighted arithmetic mean; most probable compares aggregated value masses and allows ties. Here x = 2 units. No claim that the model is correct or guarantees a trial is supplied. Statement: 2 units is mean-outcome(D533).",
    "question": "Evaluate the claim, whether x can actually occur, whether x alone is most probable, and whether the next result is guaranteed to equal x.",
    "options": [
      "Claim true: yes; x possible: yes; x unique most probable: yes; next result guaranteed x: no.",
      "Claim true: yes; x possible: yes; x unique most probable: yes; next result guaranteed x: yes.",
      "Claim true: yes; x possible: yes; x unique most probable: no; next result guaranteed x: yes.",
      "Claim true: yes; x possible: yes; x unique most probable: no; next result guaranteed x: no.",
      "Claim true: yes; x possible: no; x unique most probable: yes; next result guaranteed x: yes.",
      "Claim true: yes; x possible: no; x unique most probable: yes; next result guaranteed x: no.",
      "Claim true: yes; x possible: no; x unique most probable: no; next result guaranteed x: yes.",
      "Claim true: yes; x possible: no; x unique most probable: no; next result guaranteed x: no.",
      "Claim true: no; x possible: yes; x unique most probable: yes; next result guaranteed x: yes.",
      "Claim true: no; x possible: yes; x unique most probable: yes; next result guaranteed x: no.",
      "Claim true: no; x possible: yes; x unique most probable: no; next result guaranteed x: yes.",
      "Claim true: no; x possible: yes; x unique most probable: no; next result guaranteed x: no.",
      "Claim true: no; x possible: no; x unique most probable: yes; next result guaranteed x: yes.",
      "Claim true: no; x possible: no; x unique most probable: yes; next result guaranteed x: no.",
      "Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: yes.",
      "Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: no."
    ],
    "answer": "Claim true: yes; x possible: yes; x unique most probable: yes; next result guaranteed x: no.",
    "settlement_stratum": "mean-outcome",
    "domain": "generated batch size",
    "boundary": "mean-is-mode",
    "variant": 0,
    "oracle": {
      "mean": "2",
      "modes": [
        "2"
      ],
      "value": "2",
      "flags": [
        true,
        true,
        true,
        false
      ],
      "masses": {
        "0": "1/4",
        "2": "1/2",
        "4": "1/4"
      }
    }
  },
  {
    "id": "outcome-careful-outcome-full-113",
    "english": "Shared definition supplied once for this stateless question: x is mean-outcome(D) asserts that x equals the probability-weighted arithmetic mean under D. x is likeliest-outcome(D) asserts that x has the highest aggregated outcome mass under D, with ties allowed. These definitions also govern the corresponding English phrases. They do not guarantee a trial result or certify the model. Fictional generated batch size model D534, version v3 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive, exact rational masses, not rounded observations: value 1 units with mass 1/4; value 3 units with mass 1/2; value 5 units with mass 1/4. Add masses of paths with the same value. Mean is the probability-weighted arithmetic mean; most probable compares aggregated value masses and allows ties. Here x = 4 units. No claim that the model is correct or guarantees a trial is supplied. Statement: Under D534, the probability-weighted mean is 4 units.",
    "ainglish": "Shared definition supplied once for this stateless question: x is mean-outcome(D) asserts that x equals the probability-weighted arithmetic mean under D. x is likeliest-outcome(D) asserts that x has the highest aggregated outcome mass under D, with ties allowed. These definitions also govern the corresponding English phrases. They do not guarantee a trial result or certify the model. Fictional generated batch size model D534, version v3 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive, exact rational masses, not rounded observations: value 1 units with mass 1/4; value 3 units with mass 1/2; value 5 units with mass 1/4. Add masses of paths with the same value. Mean is the probability-weighted arithmetic mean; most probable compares aggregated value masses and allows ties. Here x = 4 units. No claim that the model is correct or guarantees a trial is supplied. Statement: 4 units is mean-outcome(D534).",
    "question": "Evaluate the claim, whether x can actually occur, whether x alone is most probable, and whether the next result is guaranteed to equal x.",
    "options": [
      "Claim true: yes; x possible: yes; x unique most probable: yes; next result guaranteed x: yes.",
      "Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: no.",
      "Claim true: yes; x possible: yes; x unique most probable: yes; next result guaranteed x: no.",
      "Claim true: yes; x possible: yes; x unique most probable: no; next result guaranteed x: yes.",
      "Claim true: yes; x possible: yes; x unique most probable: no; next result guaranteed x: no.",
      "Claim true: yes; x possible: no; x unique most probable: yes; next result guaranteed x: yes.",
      "Claim true: yes; x possible: no; x unique most probable: yes; next result guaranteed x: no.",
      "Claim true: yes; x possible: no; x unique most probable: no; next result guaranteed x: yes.",
      "Claim true: yes; x possible: no; x unique most probable: no; next result guaranteed x: no.",
      "Claim true: no; x possible: yes; x unique most probable: yes; next result guaranteed x: yes.",
      "Claim true: no; x possible: yes; x unique most probable: yes; next result guaranteed x: no.",
      "Claim true: no; x possible: yes; x unique most probable: no; next result guaranteed x: yes.",
      "Claim true: no; x possible: yes; x unique most probable: no; next result guaranteed x: no.",
      "Claim true: no; x possible: no; x unique most probable: yes; next result guaranteed x: yes.",
      "Claim true: no; x possible: no; x unique most probable: yes; next result guaranteed x: no.",
      "Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: yes."
    ],
    "answer": "Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: no.",
    "settlement_stratum": "mean-outcome",
    "domain": "generated batch size",
    "boundary": "mean-is-mode",
    "variant": 1,
    "oracle": {
      "mean": "3",
      "modes": [
        "3"
      ],
      "value": "4",
      "flags": [
        false,
        false,
        false,
        false
      ],
      "masses": {
        "1": "1/4",
        "3": "1/2",
        "5": "1/4"
      }
    }
  },
  {
    "id": "outcome-careful-outcome-full-114",
    "english": "Shared definition supplied once for this stateless question: x is mean-outcome(D) asserts that x equals the probability-weighted arithmetic mean under D. x is likeliest-outcome(D) asserts that x has the highest aggregated outcome mass under D, with ties allowed. These definitions also govern the corresponding English phrases. They do not guarantee a trial result or certify the model. Fictional generated batch size model D535, version v3 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive, exact rational masses, not rounded observations: value 2 units with mass 1/4; value 4 units with mass 1/2; value 6 units with mass 1/4. Add masses of paths with the same value. Mean is the probability-weighted arithmetic mean; most probable compares aggregated value masses and allows ties. Here x = 4 units. No claim that the model is correct or guarantees a trial is supplied. Statement: Under D535, the probability-weighted mean is 4 units.",
    "ainglish": "Shared definition supplied once for this stateless question: x is mean-outcome(D) asserts that x equals the probability-weighted arithmetic mean under D. x is likeliest-outcome(D) asserts that x has the highest aggregated outcome mass under D, with ties allowed. These definitions also govern the corresponding English phrases. They do not guarantee a trial result or certify the model. Fictional generated batch size model D535, version v3 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive, exact rational masses, not rounded observations: value 2 units with mass 1/4; value 4 units with mass 1/2; value 6 units with mass 1/4. Add masses of paths with the same value. Mean is the probability-weighted arithmetic mean; most probable compares aggregated value masses and allows ties. Here x = 4 units. No claim that the model is correct or guarantees a trial is supplied. Statement: 4 units is mean-outcome(D535).",
    "question": "Evaluate the claim, whether x can actually occur, whether x alone is most probable, and whether the next result is guaranteed to equal x.",
    "options": [
      "Claim true: yes; x possible: yes; x unique most probable: yes; next result guaranteed x: yes.",
      "Claim true: yes; x possible: yes; x unique most probable: no; next result guaranteed x: yes.",
      "Claim true: yes; x possible: yes; x unique most probable: yes; next result guaranteed x: no.",
      "Claim true: yes; x possible: yes; x unique most probable: no; next result guaranteed x: no.",
      "Claim true: yes; x possible: no; x unique most probable: yes; next result guaranteed x: yes.",
      "Claim true: yes; x possible: no; x unique most probable: yes; next result guaranteed x: no.",
      "Claim true: yes; x possible: no; x unique most probable: no; next result guaranteed x: yes.",
      "Claim true: yes; x possible: no; x unique most probable: no; next result guaranteed x: no.",
      "Claim true: no; x possible: yes; x unique most probable: yes; next result guaranteed x: yes.",
      "Claim true: no; x possible: yes; x unique most probable: yes; next result guaranteed x: no.",
      "Claim true: no; x possible: yes; x unique most probable: no; next result guaranteed x: yes.",
      "Claim true: no; x possible: yes; x unique most probable: no; next result guaranteed x: no.",
      "Claim true: no; x possible: no; x unique most probable: yes; next result guaranteed x: yes.",
      "Claim true: no; x possible: no; x unique most probable: yes; next result guaranteed x: no.",
      "Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: yes.",
      "Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: no."
    ],
    "answer": "Claim true: yes; x possible: yes; x unique most probable: yes; next result guaranteed x: no.",
    "settlement_stratum": "mean-outcome",
    "domain": "generated batch size",
    "boundary": "mean-is-mode",
    "variant": 2,
    "oracle": {
      "mean": "4",
      "modes": [
        "4"
      ],
      "value": "4",
      "flags": [
        true,
        true,
        true,
        false
      ],
      "masses": {
        "2": "1/4",
        "4": "1/2",
        "6": "1/4"
      }
    }
  },
  {
    "id": "outcome-careful-outcome-full-115",
    "english": "Shared definition supplied once for this stateless question: x is mean-outcome(D) asserts that x equals the probability-weighted arithmetic mean under D. x is likeliest-outcome(D) asserts that x has the highest aggregated outcome mass under D, with ties allowed. These definitions also govern the corresponding English phrases. They do not guarantee a trial result or certify the model. Fictional generated batch size model D536, version v3 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive, exact rational masses, not rounded observations: value 3 units with mass 1/4; value 5 units with mass 1/2; value 7 units with mass 1/4. Add masses of paths with the same value. Mean is the probability-weighted arithmetic mean; most probable compares aggregated value masses and allows ties. Here x = 6 units. No claim that the model is correct or guarantees a trial is supplied. Statement: Under D536, the probability-weighted mean is 6 units.",
    "ainglish": "Shared definition supplied once for this stateless question: x is mean-outcome(D) asserts that x equals the probability-weighted arithmetic mean under D. x is likeliest-outcome(D) asserts that x has the highest aggregated outcome mass under D, with ties allowed. These definitions also govern the corresponding English phrases. They do not guarantee a trial result or certify the model. Fictional generated batch size model D536, version v3 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive, exact rational masses, not rounded observations: value 3 units with mass 1/4; value 5 units with mass 1/2; value 7 units with mass 1/4. Add masses of paths with the same value. Mean is the probability-weighted arithmetic mean; most probable compares aggregated value masses and allows ties. Here x = 6 units. No claim that the model is correct or guarantees a trial is supplied. Statement: 6 units is mean-outcome(D536).",
    "question": "Evaluate the claim, whether x can actually occur, whether x alone is most probable, and whether the next result is guaranteed to equal x.",
    "options": [
      "Claim true: yes; x possible: yes; x unique most probable: yes; next result guaranteed x: yes.",
      "Claim true: yes; x possible: yes; x unique most probable: yes; next result guaranteed x: no.",
      "Claim true: yes; x possible: yes; x unique most probable: no; next result guaranteed x: yes.",
      "Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: no.",
      "Claim true: yes; x possible: yes; x unique most probable: no; next result guaranteed x: no.",
      "Claim true: yes; x possible: no; x unique most probable: yes; next result guaranteed x: yes.",
      "Claim true: yes; x possible: no; x unique most probable: yes; next result guaranteed x: no.",
      "Claim true: yes; x possible: no; x unique most probable: no; next result guaranteed x: yes.",
      "Claim true: yes; x possible: no; x unique most probable: no; next result guaranteed x: no.",
      "Claim true: no; x possible: yes; x unique most probable: yes; next result guaranteed x: yes.",
      "Claim true: no; x possible: yes; x unique most probable: yes; next result guaranteed x: no.",
      "Claim true: no; x possible: yes; x unique most probable: no; next result guaranteed x: yes.",
      "Claim true: no; x possible: yes; x unique most probable: no; next result guaranteed x: no.",
      "Claim true: no; x possible: no; x unique most probable: yes; next result guaranteed x: yes.",
      "Claim true: no; x possible: no; x unique most probable: yes; next result guaranteed x: no.",
      "Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: yes."
    ],
    "answer": "Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: no.",
    "settlement_stratum": "mean-outcome",
    "domain": "generated batch size",
    "boundary": "mean-is-mode",
    "variant": 3,
    "oracle": {
      "mean": "5",
      "modes": [
        "5"
      ],
      "value": "6",
      "flags": [
        false,
        false,
        false,
        false
      ],
      "masses": {
        "3": "1/4",
        "5": "1/2",
        "7": "1/4"
      }
    }
  },
  {
    "id": "outcome-careful-outcome-full-116",
    "english": "Shared definition supplied once for this stateless question: x is mean-outcome(D) asserts that x equals the probability-weighted arithmetic mean under D. x is likeliest-outcome(D) asserts that x has the highest aggregated outcome mass under D, with ties allowed. These definitions also govern the corresponding English phrases. They do not guarantee a trial result or certify the model. Fictional generated batch size model D537, version v3 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive, exact rational masses, not rounded observations: value 0 units with mass 1/5; value 4 units with mass 3/10; value 4 units with mass 3/10; value 8 units with mass 1/5. Add masses of paths with the same value. Mean is the probability-weighted arithmetic mean; most probable compares aggregated value masses and allows ties. Here x = 4 units. No claim that the model is correct or guarantees a trial is supplied. Statement: Under D537, the probability-weighted mean is 4 units.",
    "ainglish": "Shared definition supplied once for this stateless question: x is mean-outcome(D) asserts that x equals the probability-weighted arithmetic mean under D. x is likeliest-outcome(D) asserts that x has the highest aggregated outcome mass under D, with ties allowed. These definitions also govern the corresponding English phrases. They do not guarantee a trial result or certify the model. Fictional generated batch size model D537, version v3 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive, exact rational masses, not rounded observations: value 0 units with mass 1/5; value 4 units with mass 3/10; value 4 units with mass 3/10; value 8 units with mass 1/5. Add masses of paths with the same value. Mean is the probability-weighted arithmetic mean; most probable compares aggregated value masses and allows ties. Here x = 4 units. No claim that the model is correct or guarantees a trial is supplied. Statement: 4 units is mean-outcome(D537).",
    "question": "Evaluate the claim, whether x can actually occur, whether x alone is most probable, and whether the next result is guaranteed to equal x.",
    "options": [
      "Claim true: yes; x possible: yes; x unique most probable: yes; next result guaranteed x: yes.",
      "Claim true: yes; x possible: yes; x unique most probable: no; next result guaranteed x: yes.",
      "Claim true: yes; x possible: yes; x unique most probable: no; next result guaranteed x: no.",
      "Claim true: yes; x possible: no; x unique most probable: yes; next result guaranteed x: yes.",
      "Claim true: yes; x possible: yes; x unique most probable: yes; next result guaranteed x: no.",
      "Claim true: yes; x possible: no; x unique most probable: yes; next result guaranteed x: no.",
      "Claim true: yes; x possible: no; x unique most probable: no; next result guaranteed x: yes.",
      "Claim true: yes; x possible: no; x unique most probable: no; next result guaranteed x: no.",
      "Claim true: no; x possible: yes; x unique most probable: yes; next result guaranteed x: yes.",
      "Claim true: no; x possible: yes; x unique most probable: yes; next result guaranteed x: no.",
      "Claim true: no; x possible: yes; x unique most probable: no; next result guaranteed x: yes.",
      "Claim true: no; x possible: yes; x unique most probable: no; next result guaranteed x: no.",
      "Claim true: no; x possible: no; x unique most probable: yes; next result guaranteed x: yes.",
      "Claim true: no; x possible: no; x unique most probable: yes; next result guaranteed x: no.",
      "Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: yes.",
      "Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: no."
    ],
    "answer": "Claim true: yes; x possible: yes; x unique most probable: yes; next result guaranteed x: no.",
    "settlement_stratum": "mean-outcome",
    "domain": "generated batch size",
    "boundary": "aggregate-paths",
    "variant": 0,
    "oracle": {
      "mean": "4",
      "modes": [
        "4"
      ],
      "value": "4",
      "flags": [
        true,
        true,
        true,
        false
      ],
      "masses": {
        "0": "1/5",
        "4": "3/5",
        "8": "1/5"
      }
    }
  },
  {
    "id": "outcome-careful-outcome-full-117",
    "english": "Shared definition supplied once for this stateless question: x is mean-outcome(D) asserts that x equals the probability-weighted arithmetic mean under D. x is likeliest-outcome(D) asserts that x has the highest aggregated outcome mass under D, with ties allowed. These definitions also govern the corresponding English phrases. They do not guarantee a trial result or certify the model. Fictional generated batch size model D538, version v3 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive, exact rational masses, not rounded observations: value 1 units with mass 1/5; value 5 units with mass 3/10; value 5 units with mass 3/10; value 9 units with mass 1/5. Add masses of paths with the same value. Mean is the probability-weighted arithmetic mean; most probable compares aggregated value masses and allows ties. Here x = 6 units. No claim that the model is correct or guarantees a trial is supplied. Statement: Under D538, the probability-weighted mean is 6 units.",
    "ainglish": "Shared definition supplied once for this stateless question: x is mean-outcome(D) asserts that x equals the probability-weighted arithmetic mean under D. x is likeliest-outcome(D) asserts that x has the highest aggregated outcome mass under D, with ties allowed. These definitions also govern the corresponding English phrases. They do not guarantee a trial result or certify the model. Fictional generated batch size model D538, version v3 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive, exact rational masses, not rounded observations: value 1 units with mass 1/5; value 5 units with mass 3/10; value 5 units with mass 3/10; value 9 units with mass 1/5. Add masses of paths with the same value. Mean is the probability-weighted arithmetic mean; most probable compares aggregated value masses and allows ties. Here x = 6 units. No claim that the model is correct or guarantees a trial is supplied. Statement: 6 units is mean-outcome(D538).",
    "question": "Evaluate the claim, whether x can actually occur, whether x alone is most probable, and whether the next result is guaranteed to equal x.",
    "options": [
      "Claim true: yes; x possible: yes; x unique most probable: yes; next result guaranteed x: yes.",
      "Claim true: yes; x possible: yes; x unique most probable: yes; next result guaranteed x: no.",
      "Claim true: yes; x possible: yes; x unique most probable: no; next result guaranteed x: yes.",
      "Claim true: yes; x possible: yes; x unique most probable: no; next result guaranteed x: no.",
      "Claim true: yes; x possible: no; x unique most probable: yes; next result guaranteed x: yes.",
      "Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: no.",
      "Claim true: yes; x possible: no; x unique most probable: yes; next result guaranteed x: no.",
      "Claim true: yes; x possible: no; x unique most probable: no; next result guaranteed x: yes.",
      "Claim true: yes; x possible: no; x unique most probable: no; next result guaranteed x: no.",
      "Claim true: no; x possible: yes; x unique most probable: yes; next result guaranteed x: yes.",
      "Claim true: no; x possible: yes; x unique most probable: yes; next result guaranteed x: no.",
      "Claim true: no; x possible: yes; x unique most probable: no; next result guaranteed x: yes.",
      "Claim true: no; x possible: yes; x unique most probable: no; next result guaranteed x: no.",
      "Claim true: no; x possible: no; x unique most probable: yes; next result guaranteed x: yes.",
      "Claim true: no; x possible: no; x unique most probable: yes; next result guaranteed x: no.",
      "Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: yes."
    ],
    "answer": "Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: no.",
    "settlement_stratum": "mean-outcome",
    "domain": "generated batch size",
    "boundary": "aggregate-paths",
    "variant": 1,
    "oracle": {
      "mean": "5",
      "modes": [
        "5"
      ],
      "value": "6",
      "flags": [
        false,
        false,
        false,
        false
      ],
      "masses": {
        "1": "1/5",
        "5": "3/5",
        "9": "1/5"
      }
    }
  },
  {
    "id": "outcome-careful-outcome-full-118",
    "english": "Shared definition supplied once for this stateless question: x is mean-outcome(D) asserts that x equals the probability-weighted arithmetic mean under D. x is likeliest-outcome(D) asserts that x has the highest aggregated outcome mass under D, with ties allowed. These definitions also govern the corresponding English phrases. They do not guarantee a trial result or certify the model. Fictional generated batch size model D539, version v3 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive, exact rational masses, not rounded observations: value 2 units with mass 1/5; value 6 units with mass 3/10; value 6 units with mass 3/10; value 10 units with mass 1/5. Add masses of paths with the same value. Mean is the probability-weighted arithmetic mean; most probable compares aggregated value masses and allows ties. Here x = 6 units. No claim that the model is correct or guarantees a trial is supplied. Statement: Under D539, the probability-weighted mean is 6 units.",
    "ainglish": "Shared definition supplied once for this stateless question: x is mean-outcome(D) asserts that x equals the probability-weighted arithmetic mean under D. x is likeliest-outcome(D) asserts that x has the highest aggregated outcome mass under D, with ties allowed. These definitions also govern the corresponding English phrases. They do not guarantee a trial result or certify the model. Fictional generated batch size model D539, version v3 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive, exact rational masses, not rounded observations: value 2 units with mass 1/5; value 6 units with mass 3/10; value 6 units with mass 3/10; value 10 units with mass 1/5. Add masses of paths with the same value. Mean is the probability-weighted arithmetic mean; most probable compares aggregated value masses and allows ties. Here x = 6 units. No claim that the model is correct or guarantees a trial is supplied. Statement: 6 units is mean-outcome(D539).",
    "question": "Evaluate the claim, whether x can actually occur, whether x alone is most probable, and whether the next result is guaranteed to equal x.",
    "options": [
      "Claim true: yes; x possible: yes; x unique most probable: yes; next result guaranteed x: yes.",
      "Claim true: yes; x possible: yes; x unique most probable: no; next result guaranteed x: yes.",
      "Claim true: yes; x possible: yes; x unique most probable: no; next result guaranteed x: no.",
      "Claim true: yes; x possible: no; x unique most probable: yes; next result guaranteed x: yes.",
      "Claim true: yes; x possible: no; x unique most probable: yes; next result guaranteed x: no.",
      "Claim true: yes; x possible: no; x unique most probable: no; next result guaranteed x: yes.",
      "Claim true: yes; x possible: yes; x unique most probable: yes; next result guaranteed x: no.",
      "Claim true: yes; x possible: no; x unique most probable: no; next result guaranteed x: no.",
      "Claim true: no; x possible: yes; x unique most probable: yes; next result guaranteed x: yes.",
      "Claim true: no; x possible: yes; x unique most probable: yes; next result guaranteed x: no.",
      "Claim true: no; x possible: yes; x unique most probable: no; next result guaranteed x: yes.",
      "Claim true: no; x possible: yes; x unique most probable: no; next result guaranteed x: no.",
      "Claim true: no; x possible: no; x unique most probable: yes; next result guaranteed x: yes.",
      "Claim true: no; x possible: no; x unique most probable: yes; next result guaranteed x: no.",
      "Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: yes.",
      "Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: no."
    ],
    "answer": "Claim true: yes; x possible: yes; x unique most probable: yes; next result guaranteed x: no.",
    "settlement_stratum": "mean-outcome",
    "domain": "generated batch size",
    "boundary": "aggregate-paths",
    "variant": 2,
    "oracle": {
      "mean": "6",
      "modes": [
        "6"
      ],
      "value": "6",
      "flags": [
        true,
        true,
        true,
        false
      ],
      "masses": {
        "2": "1/5",
        "6": "3/5",
        "10": "1/5"
      }
    }
  },
  {
    "id": "outcome-careful-outcome-full-119",
    "english": "Shared definition supplied once for this stateless question: x is mean-outcome(D) asserts that x equals the probability-weighted arithmetic mean under D. x is likeliest-outcome(D) asserts that x has the highest aggregated outcome mass under D, with ties allowed. These definitions also govern the corresponding English phrases. They do not guarantee a trial result or certify the model. Fictional generated batch size model D540, version v3 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive, exact rational masses, not rounded observations: value 3 units with mass 1/5; value 7 units with mass 3/10; value 7 units with mass 3/10; value 11 units with mass 1/5. Add masses of paths with the same value. Mean is the probability-weighted arithmetic mean; most probable compares aggregated value masses and allows ties. Here x = 8 units. No claim that the model is correct or guarantees a trial is supplied. Statement: Under D540, the probability-weighted mean is 8 units.",
    "ainglish": "Shared definition supplied once for this stateless question: x is mean-outcome(D) asserts that x equals the probability-weighted arithmetic mean under D. x is likeliest-outcome(D) asserts that x has the highest aggregated outcome mass under D, with ties allowed. These definitions also govern the corresponding English phrases. They do not guarantee a trial result or certify the model. Fictional generated batch size model D540, version v3 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive, exact rational masses, not rounded observations: value 3 units with mass 1/5; value 7 units with mass 3/10; value 7 units with mass 3/10; value 11 units with mass 1/5. Add masses of paths with the same value. Mean is the probability-weighted arithmetic mean; most probable compares aggregated value masses and allows ties. Here x = 8 units. No claim that the model is correct or guarantees a trial is supplied. Statement: 8 units is mean-outcome(D540).",
    "question": "Evaluate the claim, whether x can actually occur, whether x alone is most probable, and whether the next result is guaranteed to equal x.",
    "options": [
      "Claim true: yes; x possible: yes; x unique most probable: yes; next result guaranteed x: yes.",
      "Claim true: yes; x possible: yes; x unique most probable: yes; next result guaranteed x: no.",
      "Claim true: yes; x possible: yes; x unique most probable: no; next result guaranteed x: yes.",
      "Claim true: yes; x possible: yes; x unique most probable: no; next result guaranteed x: no.",
      "Claim true: yes; x possible: no; x unique most probable: yes; next result guaranteed x: yes.",
      "Claim true: yes; x possible: no; x unique most probable: yes; next result guaranteed x: no.",
      "Claim true: yes; x possible: no; x unique most probable: no; next result guaranteed x: yes.",
      "Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: no.",
      "Claim true: yes; x possible: no; x unique most probable: no; next result guaranteed x: no.",
      "Claim true: no; x possible: yes; x unique most probable: yes; next result guaranteed x: yes.",
      "Claim true: no; x possible: yes; x unique most probable: yes; next result guaranteed x: no.",
      "Claim true: no; x possible: yes; x unique most probable: no; next result guaranteed x: yes.",
      "Claim true: no; x possible: yes; x unique most probable: no; next result guaranteed x: no.",
      "Claim true: no; x possible: no; x unique most probable: yes; next result guaranteed x: yes.",
      "Claim true: no; x possible: no; x unique most probable: yes; next result guaranteed x: no.",
      "Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: yes."
    ],
    "answer": "Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: no.",
    "settlement_stratum": "mean-outcome",
    "domain": "generated batch size",
    "boundary": "aggregate-paths",
    "variant": 3,
    "oracle": {
      "mean": "7",
      "modes": [
        "7"
      ],
      "value": "8",
      "flags": [
        false,
        false,
        false,
        false
      ],
      "masses": {
        "3": "1/5",
        "7": "3/5",
        "11": "1/5"
      }
    }
  },
  {
    "id": "outcome-careful-outcome-full-120",
    "english": "Shared definition supplied once for this stateless question: x is mean-outcome(D) asserts that x equals the probability-weighted arithmetic mean under D. x is likeliest-outcome(D) asserts that x has the highest aggregated outcome mass under D, with ties allowed. These definitions also govern the corresponding English phrases. They do not guarantee a trial result or certify the model. Fictional toy output model D541, version v3 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive, exact rational masses, not rounded observations: value 0 units with mass 1/2; value 6 units with mass 1/2. Add masses of paths with the same value. Mean is the probability-weighted arithmetic mean; most probable compares aggregated value masses and allows ties. Here x = 0 units. No claim that the model is correct or guarantees a trial is supplied. Statement: Under D541, 0 units has the highest outcome probability, ties allowed.",
    "ainglish": "Shared definition supplied once for this stateless question: x is mean-outcome(D) asserts that x equals the probability-weighted arithmetic mean under D. x is likeliest-outcome(D) asserts that x has the highest aggregated outcome mass under D, with ties allowed. These definitions also govern the corresponding English phrases. They do not guarantee a trial result or certify the model. Fictional toy output model D541, version v3 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive, exact rational masses, not rounded observations: value 0 units with mass 1/2; value 6 units with mass 1/2. Add masses of paths with the same value. Mean is the probability-weighted arithmetic mean; most probable compares aggregated value masses and allows ties. Here x = 0 units. No claim that the model is correct or guarantees a trial is supplied. Statement: 0 units is likeliest-outcome(D541).",
    "question": "Evaluate the claim, whether x can actually occur, whether x alone is most probable, and whether the next result is guaranteed to equal x.",
    "options": [
      "Claim true: yes; x possible: yes; x unique most probable: yes; next result guaranteed x: yes.",
      "Claim true: yes; x possible: yes; x unique most probable: yes; next result guaranteed x: no.",
      "Claim true: yes; x possible: yes; x unique most probable: no; next result guaranteed x: yes.",
      "Claim true: yes; x possible: no; x unique most probable: yes; next result guaranteed x: yes.",
      "Claim true: yes; x possible: no; x unique most probable: yes; next result guaranteed x: no.",
      "Claim true: yes; x possible: no; x unique most probable: no; next result guaranteed x: yes.",
      "Claim true: yes; x possible: no; x unique most probable: no; next result guaranteed x: no.",
      "Claim true: no; x possible: yes; x unique most probable: yes; next result guaranteed x: yes.",
      "Claim true: yes; x possible: yes; x unique most probable: no; next result guaranteed x: no.",
      "Claim true: no; x possible: yes; x unique most probable: yes; next result guaranteed x: no.",
      "Claim true: no; x possible: yes; x unique most probable: no; next result guaranteed x: yes.",
      "Claim true: no; x possible: yes; x unique most probable: no; next result guaranteed x: no.",
      "Claim true: no; x possible: no; x unique most probable: yes; next result guaranteed x: yes.",
      "Claim true: no; x possible: no; x unique most probable: yes; next result guaranteed x: no.",
      "Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: yes.",
      "Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: no."
    ],
    "answer": "Claim true: yes; x possible: yes; x unique most probable: no; next result guaranteed x: no.",
    "settlement_stratum": "likeliest-outcome",
    "domain": "toy output",
    "boundary": "mean-outside",
    "variant": 0,
    "oracle": {
      "mean": "3",
      "modes": [
        "0",
        "6"
      ],
      "value": "0",
      "flags": [
        true,
        true,
        false,
        false
      ],
      "masses": {
        "0": "1/2",
        "6": "1/2"
      }
    }
  },
  {
    "id": "outcome-careful-outcome-full-121",
    "english": "Shared definition supplied once for this stateless question: x is mean-outcome(D) asserts that x equals the probability-weighted arithmetic mean under D. x is likeliest-outcome(D) asserts that x has the highest aggregated outcome mass under D, with ties allowed. These definitions also govern the corresponding English phrases. They do not guarantee a trial result or certify the model. Fictional toy output model D542, version v3 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive, exact rational masses, not rounded observations: value 1 units with mass 1/2; value 7 units with mass 1/2. Add masses of paths with the same value. Mean is the probability-weighted arithmetic mean; most probable compares aggregated value masses and allows ties. Here x = 2 units. No claim that the model is correct or guarantees a trial is supplied. Statement: Under D542, 2 units has the highest outcome probability, ties allowed.",
    "ainglish": "Shared definition supplied once for this stateless question: x is mean-outcome(D) asserts that x equals the probability-weighted arithmetic mean under D. x is likeliest-outcome(D) asserts that x has the highest aggregated outcome mass under D, with ties allowed. These definitions also govern the corresponding English phrases. They do not guarantee a trial result or certify the model. Fictional toy output model D542, version v3 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive, exact rational masses, not rounded observations: value 1 units with mass 1/2; value 7 units with mass 1/2. Add masses of paths with the same value. Mean is the probability-weighted arithmetic mean; most probable compares aggregated value masses and allows ties. Here x = 2 units. No claim that the model is correct or guarantees a trial is supplied. Statement: 2 units is likeliest-outcome(D542).",
    "question": "Evaluate the claim, whether x can actually occur, whether x alone is most probable, and whether the next result is guaranteed to equal x.",
    "options": [
      "Claim true: yes; x possible: yes; x unique most probable: yes; next result guaranteed x: yes.",
      "Claim true: yes; x possible: yes; x unique most probable: yes; next result guaranteed x: no.",
      "Claim true: yes; x possible: yes; x unique most probable: no; next result guaranteed x: yes.",
      "Claim true: yes; x possible: yes; x unique most probable: no; next result guaranteed x: no.",
      "Claim true: yes; x possible: no; x unique most probable: yes; next result guaranteed x: yes.",
      "Claim true: yes; x possible: no; x unique most probable: yes; next result guaranteed x: no.",
      "Claim true: yes; x possible: no; x unique most probable: no; next result guaranteed x: yes.",
      "Claim true: yes; x possible: no; x unique most probable: no; next result guaranteed x: no.",
      "Claim true: no; x possible: yes; x unique most probable: yes; next result guaranteed x: yes.",
      "Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: no.",
      "Claim true: no; x possible: yes; x unique most probable: yes; next result guaranteed x: no.",
      "Claim true: no; x possible: yes; x unique most probable: no; next result guaranteed x: yes.",
      "Claim true: no; x possible: yes; x unique most probable: no; next result guaranteed x: no.",
      "Claim true: no; x possible: no; x unique most probable: yes; next result guaranteed x: yes.",
      "Claim true: no; x possible: no; x unique most probable: yes; next result guaranteed x: no.",
      "Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: yes."
    ],
    "answer": "Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: no.",
    "settlement_stratum": "likeliest-outcome",
    "domain": "toy output",
    "boundary": "mean-outside",
    "variant": 1,
    "oracle": {
      "mean": "4",
      "modes": [
        "1",
        "7"
      ],
      "value": "2",
      "flags": [
        false,
        false,
        false,
        false
      ],
      "masses": {
        "1": "1/2",
        "7": "1/2"
      }
    }
  },
  {
    "id": "outcome-careful-outcome-full-122",
    "english": "Shared definition supplied once for this stateless question: x is mean-outcome(D) asserts that x equals the probability-weighted arithmetic mean under D. x is likeliest-outcome(D) asserts that x has the highest aggregated outcome mass under D, with ties allowed. These definitions also govern the corresponding English phrases. They do not guarantee a trial result or certify the model. Fictional toy output model D543, version v3 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive, exact rational masses, not rounded observations: value 2 units with mass 1/2; value 8 units with mass 1/2. Add masses of paths with the same value. Mean is the probability-weighted arithmetic mean; most probable compares aggregated value masses and allows ties. Here x = 2 units. No claim that the model is correct or guarantees a trial is supplied. Statement: Under D543, 2 units has the highest outcome probability, ties allowed.",
    "ainglish": "Shared definition supplied once for this stateless question: x is mean-outcome(D) asserts that x equals the probability-weighted arithmetic mean under D. x is likeliest-outcome(D) asserts that x has the highest aggregated outcome mass under D, with ties allowed. These definitions also govern the corresponding English phrases. They do not guarantee a trial result or certify the model. Fictional toy output model D543, version v3 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive, exact rational masses, not rounded observations: value 2 units with mass 1/2; value 8 units with mass 1/2. Add masses of paths with the same value. Mean is the probability-weighted arithmetic mean; most probable compares aggregated value masses and allows ties. Here x = 2 units. No claim that the model is correct or guarantees a trial is supplied. Statement: 2 units is likeliest-outcome(D543).",
    "question": "Evaluate the claim, whether x can actually occur, whether x alone is most probable, and whether the next result is guaranteed to equal x.",
    "options": [
      "Claim true: yes; x possible: yes; x unique most probable: yes; next result guaranteed x: yes.",
      "Claim true: yes; x possible: yes; x unique most probable: yes; next result guaranteed x: no.",
      "Claim true: yes; x possible: yes; x unique most probable: no; next result guaranteed x: yes.",
      "Claim true: yes; x possible: no; x unique most probable: yes; next result guaranteed x: yes.",
      "Claim true: yes; x possible: no; x unique most probable: yes; next result guaranteed x: no.",
      "Claim true: yes; x possible: no; x unique most probable: no; next result guaranteed x: yes.",
      "Claim true: yes; x possible: no; x unique most probable: no; next result guaranteed x: no.",
      "Claim true: no; x possible: yes; x unique most probable: yes; next result guaranteed x: yes.",
      "Claim true: no; x possible: yes; x unique most probable: yes; next result guaranteed x: no.",
      "Claim true: no; x possible: yes; x unique most probable: no; next result guaranteed x: yes.",
      "Claim true: yes; x possible: yes; x unique most probable: no; next result guaranteed x: no.",
      "Claim true: no; x possible: yes; x unique most probable: no; next result guaranteed x: no.",
      "Claim true: no; x possible: no; x unique most probable: yes; next result guaranteed x: yes.",
      "Claim true: no; x possible: no; x unique most probable: yes; next result guaranteed x: no.",
      "Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: yes.",
      "Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: no."
    ],
    "answer": "Claim true: yes; x possible: yes; x unique most probable: no; next result guaranteed x: no.",
    "settlement_stratum": "likeliest-outcome",
    "domain": "toy output",
    "boundary": "mean-outside",
    "variant": 2,
    "oracle": {
      "mean": "5",
      "modes": [
        "2",
        "8"
      ],
      "value": "2",
      "flags": [
        true,
        true,
        false,
        false
      ],
      "masses": {
        "2": "1/2",
        "8": "1/2"
      }
    }
  },
  {
    "id": "outcome-careful-outcome-full-123",
    "english": "Shared definition supplied once for this stateless question: x is mean-outcome(D) asserts that x equals the probability-weighted arithmetic mean under D. x is likeliest-outcome(D) asserts that x has the highest aggregated outcome mass under D, with ties allowed. These definitions also govern the corresponding English phrases. They do not guarantee a trial result or certify the model. Fictional toy output model D544, version v3 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive, exact rational masses, not rounded observations: value 3 units with mass 1/2; value 9 units with mass 1/2. Add masses of paths with the same value. Mean is the probability-weighted arithmetic mean; most probable compares aggregated value masses and allows ties. Here x = 4 units. No claim that the model is correct or guarantees a trial is supplied. Statement: Under D544, 4 units has the highest outcome probability, ties allowed.",
    "ainglish": "Shared definition supplied once for this stateless question: x is mean-outcome(D) asserts that x equals the probability-weighted arithmetic mean under D. x is likeliest-outcome(D) asserts that x has the highest aggregated outcome mass under D, with ties allowed. These definitions also govern the corresponding English phrases. They do not guarantee a trial result or certify the model. Fictional toy output model D544, version v3 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive, exact rational masses, not rounded observations: value 3 units with mass 1/2; value 9 units with mass 1/2. Add masses of paths with the same value. Mean is the probability-weighted arithmetic mean; most probable compares aggregated value masses and allows ties. Here x = 4 units. No claim that the model is correct or guarantees a trial is supplied. Statement: 4 units is likeliest-outcome(D544).",
    "question": "Evaluate the claim, whether x can actually occur, whether x alone is most probable, and whether the next result is guaranteed to equal x.",
    "options": [
      "Claim true: yes; x possible: yes; x unique most probable: yes; next result guaranteed x: yes.",
      "Claim true: yes; x possible: yes; x unique most probable: yes; next result guaranteed x: no.",
      "Claim true: yes; x possible: yes; x unique most probable: no; next result guaranteed x: yes.",
      "Claim true: yes; x possible: yes; x unique most probable: no; next result guaranteed x: no.",
      "Claim true: yes; x possible: no; x unique most probable: yes; next result guaranteed x: yes.",
      "Claim true: yes; x possible: no; x unique most probable: yes; next result guaranteed x: no.",
      "Claim true: yes; x possible: no; x unique most probable: no; next result guaranteed x: yes.",
      "Claim true: yes; x possible: no; x unique most probable: no; next result guaranteed x: no.",
      "Claim true: no; x possible: yes; x unique most probable: yes; next result guaranteed x: yes.",
      "Claim true: no; x possible: yes; x unique most probable: yes; next result guaranteed x: no.",
      "Claim true: no; x possible: yes; x unique most probable: no; next result guaranteed x: yes.",
      "Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: no.",
      "Claim true: no; x possible: yes; x unique most probable: no; next result guaranteed x: no.",
      "Claim true: no; x possible: no; x unique most probable: yes; next result guaranteed x: yes.",
      "Claim true: no; x possible: no; x unique most probable: yes; next result guaranteed x: no.",
      "Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: yes."
    ],
    "answer": "Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: no.",
    "settlement_stratum": "likeliest-outcome",
    "domain": "toy output",
    "boundary": "mean-outside",
    "variant": 3,
    "oracle": {
      "mean": "6",
      "modes": [
        "3",
        "9"
      ],
      "value": "4",
      "flags": [
        false,
        false,
        false,
        false
      ],
      "masses": {
        "3": "1/2",
        "9": "1/2"
      }
    }
  },
  {
    "id": "outcome-careful-outcome-full-124",
    "english": "Shared definition supplied once for this stateless question: x is mean-outcome(D) asserts that x equals the probability-weighted arithmetic mean under D. x is likeliest-outcome(D) asserts that x has the highest aggregated outcome mass under D, with ties allowed. These definitions also govern the corresponding English phrases. They do not guarantee a trial result or certify the model. Fictional toy output model D545, version v3 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive, exact rational masses, not rounded observations: value 0 units with mass 2/5; value 2 units with mass 3/10; value 5 units with mass 3/10. Add masses of paths with the same value. Mean is the probability-weighted arithmetic mean; most probable compares aggregated value masses and allows ties. Here x = 0 units. No claim that the model is correct or guarantees a trial is supplied. Statement: Under D545, 0 units has the highest outcome probability, ties allowed.",
    "ainglish": "Shared definition supplied once for this stateless question: x is mean-outcome(D) asserts that x equals the probability-weighted arithmetic mean under D. x is likeliest-outcome(D) asserts that x has the highest aggregated outcome mass under D, with ties allowed. These definitions also govern the corresponding English phrases. They do not guarantee a trial result or certify the model. Fictional toy output model D545, version v3 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive, exact rational masses, not rounded observations: value 0 units with mass 2/5; value 2 units with mass 3/10; value 5 units with mass 3/10. Add masses of paths with the same value. Mean is the probability-weighted arithmetic mean; most probable compares aggregated value masses and allows ties. Here x = 0 units. No claim that the model is correct or guarantees a trial is supplied. Statement: 0 units is likeliest-outcome(D545).",
    "question": "Evaluate the claim, whether x can actually occur, whether x alone is most probable, and whether the next result is guaranteed to equal x.",
    "options": [
      "Claim true: yes; x possible: yes; x unique most probable: yes; next result guaranteed x: yes.",
      "Claim true: yes; x possible: yes; x unique most probable: no; next result guaranteed x: yes.",
      "Claim true: yes; x possible: yes; x unique most probable: no; next result guaranteed x: no.",
      "Claim true: yes; x possible: no; x unique most probable: yes; next result guaranteed x: yes.",
      "Claim true: yes; x possible: no; x unique most probable: yes; next result guaranteed x: no.",
      "Claim true: yes; x possible: no; x unique most probable: no; next result guaranteed x: yes.",
      "Claim true: yes; x possible: no; x unique most probable: no; next result guaranteed x: no.",
      "Claim true: no; x possible: yes; x unique most probable: yes; next result guaranteed x: yes.",
      "Claim true: no; x possible: yes; x unique most probable: yes; next result guaranteed x: no.",
      "Claim true: no; x possible: yes; x unique most probable: no; next result guaranteed x: yes.",
      "Claim true: no; x possible: yes; x unique most probable: no; next result guaranteed x: no.",
      "Claim true: no; x possible: no; x unique most probable: yes; next result guaranteed x: yes.",
      "Claim true: yes; x possible: yes; x unique most probable: yes; next result guaranteed x: no.",
      "Claim true: no; x possible: no; x unique most probable: yes; next result guaranteed x: no.",
      "Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: yes.",
      "Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: no."
    ],
    "answer": "Claim true: yes; x possible: yes; x unique most probable: yes; next result guaranteed x: no.",
    "settlement_stratum": "likeliest-outcome",
    "domain": "toy output",
    "boundary": "mode-below-half",
    "variant": 0,
    "oracle": {
      "mean": "21/10",
      "modes": [
        "0"
      ],
      "value": "0",
      "flags": [
        true,
        true,
        true,
        false
      ],
      "masses": {
        "0": "2/5",
        "2": "3/10",
        "5": "3/10"
      }
    }
  },
  {
    "id": "outcome-careful-outcome-full-125",
    "english": "Shared definition supplied once for this stateless question: x is mean-outcome(D) asserts that x equals the probability-weighted arithmetic mean under D. x is likeliest-outcome(D) asserts that x has the highest aggregated outcome mass under D, with ties allowed. These definitions also govern the corresponding English phrases. They do not guarantee a trial result or certify the model. Fictional toy output model D546, version v3 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive, exact rational masses, not rounded observations: value 1 units with mass 2/5; value 3 units with mass 3/10; value 6 units with mass 3/10. Add masses of paths with the same value. Mean is the probability-weighted arithmetic mean; most probable compares aggregated value masses and allows ties. Here x = 2 units. No claim that the model is correct or guarantees a trial is supplied. Statement: Under D546, 2 units has the highest outcome probability, ties allowed.",
    "ainglish": "Shared definition supplied once for this stateless question: x is mean-outcome(D) asserts that x equals the probability-weighted arithmetic mean under D. x is likeliest-outcome(D) asserts that x has the highest aggregated outcome mass under D, with ties allowed. These definitions also govern the corresponding English phrases. They do not guarantee a trial result or certify the model. Fictional toy output model D546, version v3 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive, exact rational masses, not rounded observations: value 1 units with mass 2/5; value 3 units with mass 3/10; value 6 units with mass 3/10. Add masses of paths with the same value. Mean is the probability-weighted arithmetic mean; most probable compares aggregated value masses and allows ties. Here x = 2 units. No claim that the model is correct or guarantees a trial is supplied. Statement: 2 units is likeliest-outcome(D546).",
    "question": "Evaluate the claim, whether x can actually occur, whether x alone is most probable, and whether the next result is guaranteed to equal x.",
    "options": [
      "Claim true: yes; x possible: yes; x unique most probable: yes; next result guaranteed x: yes.",
      "Claim true: yes; x possible: yes; x unique most probable: yes; next result guaranteed x: no.",
      "Claim true: yes; x possible: yes; x unique most probable: no; next result guaranteed x: yes.",
      "Claim true: yes; x possible: yes; x unique most probable: no; next result guaranteed x: no.",
      "Claim true: yes; x possible: no; x unique most probable: yes; next result guaranteed x: yes.",
      "Claim true: yes; x possible: no; x unique most probable: yes; next result guaranteed x: no.",
      "Claim true: yes; x possible: no; x unique most probable: no; next result guaranteed x: yes.",
      "Claim true: yes; x possible: no; x unique most probable: no; next result guaranteed x: no.",
      "Claim true: no; x possible: yes; x unique most probable: yes; next result guaranteed x: yes.",
      "Claim true: no; x possible: yes; x unique most probable: yes; next result guaranteed x: no.",
      "Claim true: no; x possible: yes; x unique most probable: no; next result guaranteed x: yes.",
      "Claim true: no; x possible: yes; x unique most probable: no; next result guaranteed x: no.",
      "Claim true: no; x possible: no; x unique most probable: yes; next result guaranteed x: yes.",
      "Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: no.",
      "Claim true: no; x possible: no; x unique most probable: yes; next result guaranteed x: no.",
      "Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: yes."
    ],
    "answer": "Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: no.",
    "settlement_stratum": "likeliest-outcome",
    "domain": "toy output",
    "boundary": "mode-below-half",
    "variant": 1,
    "oracle": {
      "mean": "31/10",
      "modes": [
        "1"
      ],
      "value": "2",
      "flags": [
        false,
        false,
        false,
        false
      ],
      "masses": {
        "1": "2/5",
        "3": "3/10",
        "6": "3/10"
      }
    }
  },
  {
    "id": "outcome-careful-outcome-full-126",
    "english": "Shared definition supplied once for this stateless question: x is mean-outcome(D) asserts that x equals the probability-weighted arithmetic mean under D. x is likeliest-outcome(D) asserts that x has the highest aggregated outcome mass under D, with ties allowed. These definitions also govern the corresponding English phrases. They do not guarantee a trial result or certify the model. Fictional toy output model D547, version v3 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive, exact rational masses, not rounded observations: value 2 units with mass 2/5; value 4 units with mass 3/10; value 7 units with mass 3/10. Add masses of paths with the same value. Mean is the probability-weighted arithmetic mean; most probable compares aggregated value masses and allows ties. Here x = 2 units. No claim that the model is correct or guarantees a trial is supplied. Statement: Under D547, 2 units has the highest outcome probability, ties allowed.",
    "ainglish": "Shared definition supplied once for this stateless question: x is mean-outcome(D) asserts that x equals the probability-weighted arithmetic mean under D. x is likeliest-outcome(D) asserts that x has the highest aggregated outcome mass under D, with ties allowed. These definitions also govern the corresponding English phrases. They do not guarantee a trial result or certify the model. Fictional toy output model D547, version v3 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive, exact rational masses, not rounded observations: value 2 units with mass 2/5; value 4 units with mass 3/10; value 7 units with mass 3/10. Add masses of paths with the same value. Mean is the probability-weighted arithmetic mean; most probable compares aggregated value masses and allows ties. Here x = 2 units. No claim that the model is correct or guarantees a trial is supplied. Statement: 2 units is likeliest-outcome(D547).",
    "question": "Evaluate the claim, whether x can actually occur, whether x alone is most probable, and whether the next result is guaranteed to equal x.",
    "options": [
      "Claim true: yes; x possible: yes; x unique most probable: yes; next result guaranteed x: yes.",
      "Claim true: yes; x possible: yes; x unique most probable: no; next result guaranteed x: yes.",
      "Claim true: yes; x possible: yes; x unique most probable: no; next result guaranteed x: no.",
      "Claim true: yes; x possible: no; x unique most probable: yes; next result guaranteed x: yes.",
      "Claim true: yes; x possible: no; x unique most probable: yes; next result guaranteed x: no.",
      "Claim true: yes; x possible: no; x unique most probable: no; next result guaranteed x: yes.",
      "Claim true: yes; x possible: no; x unique most probable: no; next result guaranteed x: no.",
      "Claim true: no; x possible: yes; x unique most probable: yes; next result guaranteed x: yes.",
      "Claim true: no; x possible: yes; x unique most probable: yes; next result guaranteed x: no.",
      "Claim true: no; x possible: yes; x unique most probable: no; next result guaranteed x: yes.",
      "Claim true: no; x possible: yes; x unique most probable: no; next result guaranteed x: no.",
      "Claim true: no; x possible: no; x unique most probable: yes; next result guaranteed x: yes.",
      "Claim true: no; x possible: no; x unique most probable: yes; next result guaranteed x: no.",
      "Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: yes.",
      "Claim true: yes; x possible: yes; x unique most probable: yes; next result guaranteed x: no.",
      "Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: no."
    ],
    "answer": "Claim true: yes; x possible: yes; x unique most probable: yes; next result guaranteed x: no.",
    "settlement_stratum": "likeliest-outcome",
    "domain": "toy output",
    "boundary": "mode-below-half",
    "variant": 2,
    "oracle": {
      "mean": "41/10",
      "modes": [
        "2"
      ],
      "value": "2",
      "flags": [
        true,
        true,
        true,
        false
      ],
      "masses": {
        "2": "2/5",
        "4": "3/10",
        "7": "3/10"
      }
    }
  },
  {
    "id": "outcome-careful-outcome-full-127",
    "english": "Shared definition supplied once for this stateless question: x is mean-outcome(D) asserts that x equals the probability-weighted arithmetic mean under D. x is likeliest-outcome(D) asserts that x has the highest aggregated outcome mass under D, with ties allowed. These definitions also govern the corresponding English phrases. They do not guarantee a trial result or certify the model. Fictional toy output model D548, version v3 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive, exact rational masses, not rounded observations: value 3 units with mass 2/5; value 5 units with mass 3/10; value 8 units with mass 3/10. Add masses of paths with the same value. Mean is the probability-weighted arithmetic mean; most probable compares aggregated value masses and allows ties. Here x = 4 units. No claim that the model is correct or guarantees a trial is supplied. Statement: Under D548, 4 units has the highest outcome probability, ties allowed.",
    "ainglish": "Shared definition supplied once for this stateless question: x is mean-outcome(D) asserts that x equals the probability-weighted arithmetic mean under D. x is likeliest-outcome(D) asserts that x has the highest aggregated outcome mass under D, with ties allowed. These definitions also govern the corresponding English phrases. They do not guarantee a trial result or certify the model. Fictional toy output model D548, version v3 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive, exact rational masses, not rounded observations: value 3 units with mass 2/5; value 5 units with mass 3/10; value 8 units with mass 3/10. Add masses of paths with the same value. Mean is the probability-weighted arithmetic mean; most probable compares aggregated value masses and allows ties. Here x = 4 units. No claim that the model is correct or guarantees a trial is supplied. Statement: 4 units is likeliest-outcome(D548).",
    "question": "Evaluate the claim, whether x can actually occur, whether x alone is most probable, and whether the next result is guaranteed to equal x.",
    "options": [
      "Claim true: yes; x possible: yes; x unique most probable: yes; next result guaranteed x: yes.",
      "Claim true: yes; x possible: yes; x unique most probable: yes; next result guaranteed x: no.",
      "Claim true: yes; x possible: yes; x unique most probable: no; next result guaranteed x: yes.",
      "Claim true: yes; x possible: yes; x unique most probable: no; next result guaranteed x: no.",
      "Claim true: yes; x possible: no; x unique most probable: yes; next result guaranteed x: yes.",
      "Claim true: yes; x possible: no; x unique most probable: yes; next result guaranteed x: no.",
      "Claim true: yes; x possible: no; x unique most probable: no; next result guaranteed x: yes.",
      "Claim true: yes; x possible: no; x unique most probable: no; next result guaranteed x: no.",
      "Claim true: no; x possible: yes; x unique most probable: yes; next result guaranteed x: yes.",
      "Claim true: no; x possible: yes; x unique most probable: yes; next result guaranteed x: no.",
      "Claim true: no; x possible: yes; x unique most probable: no; next result guaranteed x: yes.",
      "Claim true: no; x possible: yes; x unique most probable: no; next result guaranteed x: no.",
      "Claim true: no; x possible: no; x unique most probable: yes; next result guaranteed x: yes.",
      "Claim true: no; x possible: no; x unique most probable: yes; next result guaranteed x: no.",
      "Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: yes.",
      "Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: no."
    ],
    "answer": "Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: no.",
    "settlement_stratum": "likeliest-outcome",
    "domain": "toy output",
    "boundary": "mode-below-half",
    "variant": 3,
    "oracle": {
      "mean": "51/10",
      "modes": [
        "3"
      ],
      "value": "4",
      "flags": [
        false,
        false,
        false,
        false
      ],
      "masses": {
        "3": "2/5",
        "5": "3/10",
        "8": "3/10"
      }
    }
  },
  {
    "id": "outcome-careful-outcome-full-128",
    "english": "Shared definition supplied once for this stateless question: x is mean-outcome(D) asserts that x equals the probability-weighted arithmetic mean under D. x is likeliest-outcome(D) asserts that x has the highest aggregated outcome mass under D, with ties allowed. These definitions also govern the corresponding English phrases. They do not guarantee a trial result or certify the model. Fictional toy output model D549, version v3 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive, exact rational masses, not rounded observations: value 1 units with mass 2/5; value 3 units with mass 2/5; value 7 units with mass 1/5. Add masses of paths with the same value. Mean is the probability-weighted arithmetic mean; most probable compares aggregated value masses and allows ties. Here x = 1 units. No claim that the model is correct or guarantees a trial is supplied. Statement: Under D549, 1 units has the highest outcome probability, ties allowed.",
    "ainglish": "Shared definition supplied once for this stateless question: x is mean-outcome(D) asserts that x equals the probability-weighted arithmetic mean under D. x is likeliest-outcome(D) asserts that x has the highest aggregated outcome mass under D, with ties allowed. These definitions also govern the corresponding English phrases. They do not guarantee a trial result or certify the model. Fictional toy output model D549, version v3 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive, exact rational masses, not rounded observations: value 1 units with mass 2/5; value 3 units with mass 2/5; value 7 units with mass 1/5. Add masses of paths with the same value. Mean is the probability-weighted arithmetic mean; most probable compares aggregated value masses and allows ties. Here x = 1 units. No claim that the model is correct or guarantees a trial is supplied. Statement: 1 units is likeliest-outcome(D549).",
    "question": "Evaluate the claim, whether x can actually occur, whether x alone is most probable, and whether the next result is guaranteed to equal x.",
    "options": [
      "Claim true: yes; x possible: yes; x unique most probable: no; next result guaranteed x: no.",
      "Claim true: yes; x possible: yes; x unique most probable: yes; next result guaranteed x: yes.",
      "Claim true: yes; x possible: yes; x unique most probable: yes; next result guaranteed x: no.",
      "Claim true: yes; x possible: yes; x unique most probable: no; next result guaranteed x: yes.",
      "Claim true: yes; x possible: no; x unique most probable: yes; next result guaranteed x: yes.",
      "Claim true: yes; x possible: no; x unique most probable: yes; next result guaranteed x: no.",
      "Claim true: yes; x possible: no; x unique most probable: no; next result guaranteed x: yes.",
      "Claim true: yes; x possible: no; x unique most probable: no; next result guaranteed x: no.",
      "Claim true: no; x possible: yes; x unique most probable: yes; next result guaranteed x: yes.",
      "Claim true: no; x possible: yes; x unique most probable: yes; next result guaranteed x: no.",
      "Claim true: no; x possible: yes; x unique most probable: no; next result guaranteed x: yes.",
      "Claim true: no; x possible: yes; x unique most probable: no; next result guaranteed x: no.",
      "Claim true: no; x possible: no; x unique most probable: yes; next result guaranteed x: yes.",
      "Claim true: no; x possible: no; x unique most probable: yes; next result guaranteed x: no.",
      "Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: yes.",
      "Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: no."
    ],
    "answer": "Claim true: yes; x possible: yes; x unique most probable: no; next result guaranteed x: no.",
    "settlement_stratum": "likeliest-outcome",
    "domain": "toy output",
    "boundary": "tied-modes",
    "variant": 0,
    "oracle": {
      "mean": "3",
      "modes": [
        "1",
        "3"
      ],
      "value": "1",
      "flags": [
        true,
        true,
        false,
        false
      ],
      "masses": {
        "1": "2/5",
        "3": "2/5",
        "7": "1/5"
      }
    }
  },
  {
    "id": "outcome-careful-outcome-full-129",
    "english": "Shared definition supplied once for this stateless question: x is mean-outcome(D) asserts that x equals the probability-weighted arithmetic mean under D. x is likeliest-outcome(D) asserts that x has the highest aggregated outcome mass under D, with ties allowed. These definitions also govern the corresponding English phrases. They do not guarantee a trial result or certify the model. Fictional toy output model D550, version v3 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive, exact rational masses, not rounded observations: value 2 units with mass 2/5; value 4 units with mass 2/5; value 8 units with mass 1/5. Add masses of paths with the same value. Mean is the probability-weighted arithmetic mean; most probable compares aggregated value masses and allows ties. Here x = 3 units. No claim that the model is correct or guarantees a trial is supplied. Statement: Under D550, 3 units has the highest outcome probability, ties allowed.",
    "ainglish": "Shared definition supplied once for this stateless question: x is mean-outcome(D) asserts that x equals the probability-weighted arithmetic mean under D. x is likeliest-outcome(D) asserts that x has the highest aggregated outcome mass under D, with ties allowed. These definitions also govern the corresponding English phrases. They do not guarantee a trial result or certify the model. Fictional toy output model D550, version v3 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive, exact rational masses, not rounded observations: value 2 units with mass 2/5; value 4 units with mass 2/5; value 8 units with mass 1/5. Add masses of paths with the same value. Mean is the probability-weighted arithmetic mean; most probable compares aggregated value masses and allows ties. Here x = 3 units. No claim that the model is correct or guarantees a trial is supplied. Statement: 3 units is likeliest-outcome(D550).",
    "question": "Evaluate the claim, whether x can actually occur, whether x alone is most probable, and whether the next result is guaranteed to equal x.",
    "options": [
      "Claim true: yes; x possible: yes; x unique most probable: yes; next result guaranteed x: yes.",
      "Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: no.",
      "Claim true: yes; x possible: yes; x unique most probable: yes; next result guaranteed x: no.",
      "Claim true: yes; x possible: yes; x unique most probable: no; next result guaranteed x: yes.",
      "Claim true: yes; x possible: yes; x unique most probable: no; next result guaranteed x: no.",
      "Claim true: yes; x possible: no; x unique most probable: yes; next result guaranteed x: yes.",
      "Claim true: yes; x possible: no; x unique most probable: yes; next result guaranteed x: no.",
      "Claim true: yes; x possible: no; x unique most probable: no; next result guaranteed x: yes.",
      "Claim true: yes; x possible: no; x unique most probable: no; next result guaranteed x: no.",
      "Claim true: no; x possible: yes; x unique most probable: yes; next result guaranteed x: yes.",
      "Claim true: no; x possible: yes; x unique most probable: yes; next result guaranteed x: no.",
      "Claim true: no; x possible: yes; x unique most probable: no; next result guaranteed x: yes.",
      "Claim true: no; x possible: yes; x unique most probable: no; next result guaranteed x: no.",
      "Claim true: no; x possible: no; x unique most probable: yes; next result guaranteed x: yes.",
      "Claim true: no; x possible: no; x unique most probable: yes; next result guaranteed x: no.",
      "Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: yes."
    ],
    "answer": "Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: no.",
    "settlement_stratum": "likeliest-outcome",
    "domain": "toy output",
    "boundary": "tied-modes",
    "variant": 1,
    "oracle": {
      "mean": "4",
      "modes": [
        "2",
        "4"
      ],
      "value": "3",
      "flags": [
        false,
        false,
        false,
        false
      ],
      "masses": {
        "2": "2/5",
        "4": "2/5",
        "8": "1/5"
      }
    }
  },
  {
    "id": "outcome-careful-outcome-full-130",
    "english": "Shared definition supplied once for this stateless question: x is mean-outcome(D) asserts that x equals the probability-weighted arithmetic mean under D. x is likeliest-outcome(D) asserts that x has the highest aggregated outcome mass under D, with ties allowed. These definitions also govern the corresponding English phrases. They do not guarantee a trial result or certify the model. Fictional toy output model D551, version v3 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive, exact rational masses, not rounded observations: value 3 units with mass 2/5; value 5 units with mass 2/5; value 9 units with mass 1/5. Add masses of paths with the same value. Mean is the probability-weighted arithmetic mean; most probable compares aggregated value masses and allows ties. Here x = 3 units. No claim that the model is correct or guarantees a trial is supplied. Statement: Under D551, 3 units has the highest outcome probability, ties allowed.",
    "ainglish": "Shared definition supplied once for this stateless question: x is mean-outcome(D) asserts that x equals the probability-weighted arithmetic mean under D. x is likeliest-outcome(D) asserts that x has the highest aggregated outcome mass under D, with ties allowed. These definitions also govern the corresponding English phrases. They do not guarantee a trial result or certify the model. Fictional toy output model D551, version v3 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive, exact rational masses, not rounded observations: value 3 units with mass 2/5; value 5 units with mass 2/5; value 9 units with mass 1/5. Add masses of paths with the same value. Mean is the probability-weighted arithmetic mean; most probable compares aggregated value masses and allows ties. Here x = 3 units. No claim that the model is correct or guarantees a trial is supplied. Statement: 3 units is likeliest-outcome(D551).",
    "question": "Evaluate the claim, whether x can actually occur, whether x alone is most probable, and whether the next result is guaranteed to equal x.",
    "options": [
      "Claim true: yes; x possible: yes; x unique most probable: yes; next result guaranteed x: yes.",
      "Claim true: yes; x possible: yes; x unique most probable: yes; next result guaranteed x: no.",
      "Claim true: yes; x possible: yes; x unique most probable: no; next result guaranteed x: no.",
      "Claim true: yes; x possible: yes; x unique most probable: no; next result guaranteed x: yes.",
      "Claim true: yes; x possible: no; x unique most probable: yes; next result guaranteed x: yes.",
      "Claim true: yes; x possible: no; x unique most probable: yes; next result guaranteed x: no.",
      "Claim true: yes; x possible: no; x unique most probable: no; next result guaranteed x: yes.",
      "Claim true: yes; x possible: no; x unique most probable: no; next result guaranteed x: no.",
      "Claim true: no; x possible: yes; x unique most probable: yes; next result guaranteed x: yes.",
      "Claim true: no; x possible: yes; x unique most probable: yes; next result guaranteed x: no.",
      "Claim true: no; x possible: yes; x unique most probable: no; next result guaranteed x: yes.",
      "Claim true: no; x possible: yes; x unique most probable: no; next result guaranteed x: no.",
      "Claim true: no; x possible: no; x unique most probable: yes; next result guaranteed x: yes.",
      "Claim true: no; x possible: no; x unique most probable: yes; next result guaranteed x: no.",
      "Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: yes.",
      "Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: no."
    ],
    "answer": "Claim true: yes; x possible: yes; x unique most probable: no; next result guaranteed x: no.",
    "settlement_stratum": "likeliest-outcome",
    "domain": "toy output",
    "boundary": "tied-modes",
    "variant": 2,
    "oracle": {
      "mean": "5",
      "modes": [
        "3",
        "5"
      ],
      "value": "3",
      "flags": [
        true,
        true,
        false,
        false
      ],
      "masses": {
        "3": "2/5",
        "5": "2/5",
        "9": "1/5"
      }
    }
  },
  {
    "id": "outcome-careful-outcome-full-131",
    "english": "Shared definition supplied once for this stateless question: x is mean-outcome(D) asserts that x equals the probability-weighted arithmetic mean under D. x is likeliest-outcome(D) asserts that x has the highest aggregated outcome mass under D, with ties allowed. These definitions also govern the corresponding English phrases. They do not guarantee a trial result or certify the model. Fictional toy output model D552, version v3 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive, exact rational masses, not rounded observations: value 4 units with mass 2/5; value 6 units with mass 2/5; value 10 units with mass 1/5. Add masses of paths with the same value. Mean is the probability-weighted arithmetic mean; most probable compares aggregated value masses and allows ties. Here x = 5 units. No claim that the model is correct or guarantees a trial is supplied. Statement: Under D552, 5 units has the highest outcome probability, ties allowed.",
    "ainglish": "Shared definition supplied once for this stateless question: x is mean-outcome(D) asserts that x equals the probability-weighted arithmetic mean under D. x is likeliest-outcome(D) asserts that x has the highest aggregated outcome mass under D, with ties allowed. These definitions also govern the corresponding English phrases. They do not guarantee a trial result or certify the model. Fictional toy output model D552, version v3 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive, exact rational masses, not rounded observations: value 4 units with mass 2/5; value 6 units with mass 2/5; value 10 units with mass 1/5. Add masses of paths with the same value. Mean is the probability-weighted arithmetic mean; most probable compares aggregated value masses and allows ties. Here x = 5 units. No claim that the model is correct or guarantees a trial is supplied. Statement: 5 units is likeliest-outcome(D552).",
    "question": "Evaluate the claim, whether x can actually occur, whether x alone is most probable, and whether the next result is guaranteed to equal x.",
    "options": [
      "Claim true: yes; x possible: yes; x unique most probable: yes; next result guaranteed x: yes.",
      "Claim true: yes; x possible: yes; x unique most probable: yes; next result guaranteed x: no.",
      "Claim true: yes; x possible: yes; x unique most probable: no; next result guaranteed x: yes.",
      "Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: no.",
      "Claim true: yes; x possible: yes; x unique most probable: no; next result guaranteed x: no.",
      "Claim true: yes; x possible: no; x unique most probable: yes; next result guaranteed x: yes.",
      "Claim true: yes; x possible: no; x unique most probable: yes; next result guaranteed x: no.",
      "Claim true: yes; x possible: no; x unique most probable: no; next result guaranteed x: yes.",
      "Claim true: yes; x possible: no; x unique most probable: no; next result guaranteed x: no.",
      "Claim true: no; x possible: yes; x unique most probable: yes; next result guaranteed x: yes.",
      "Claim true: no; x possible: yes; x unique most probable: yes; next result guaranteed x: no.",
      "Claim true: no; x possible: yes; x unique most probable: no; next result guaranteed x: yes.",
      "Claim true: no; x possible: yes; x unique most probable: no; next result guaranteed x: no.",
      "Claim true: no; x possible: no; x unique most probable: yes; next result guaranteed x: yes.",
      "Claim true: no; x possible: no; x unique most probable: yes; next result guaranteed x: no.",
      "Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: yes."
    ],
    "answer": "Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: no.",
    "settlement_stratum": "likeliest-outcome",
    "domain": "toy output",
    "boundary": "tied-modes",
    "variant": 3,
    "oracle": {
      "mean": "6",
      "modes": [
        "4",
        "6"
      ],
      "value": "5",
      "flags": [
        false,
        false,
        false,
        false
      ],
      "masses": {
        "4": "2/5",
        "6": "2/5",
        "10": "1/5"
      }
    }
  },
  {
    "id": "outcome-careful-outcome-full-132",
    "english": "Shared definition supplied once for this stateless question: x is mean-outcome(D) asserts that x equals the probability-weighted arithmetic mean under D. x is likeliest-outcome(D) asserts that x has the highest aggregated outcome mass under D, with ties allowed. These definitions also govern the corresponding English phrases. They do not guarantee a trial result or certify the model. Fictional toy output model D553, version v3 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive, exact rational masses, not rounded observations: value 0 units with mass 1/4; value 2 units with mass 1/2; value 4 units with mass 1/4. Add masses of paths with the same value. Mean is the probability-weighted arithmetic mean; most probable compares aggregated value masses and allows ties. Here x = 2 units. No claim that the model is correct or guarantees a trial is supplied. Statement: Under D553, 2 units has the highest outcome probability, ties allowed.",
    "ainglish": "Shared definition supplied once for this stateless question: x is mean-outcome(D) asserts that x equals the probability-weighted arithmetic mean under D. x is likeliest-outcome(D) asserts that x has the highest aggregated outcome mass under D, with ties allowed. These definitions also govern the corresponding English phrases. They do not guarantee a trial result or certify the model. Fictional toy output model D553, version v3 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive, exact rational masses, not rounded observations: value 0 units with mass 1/4; value 2 units with mass 1/2; value 4 units with mass 1/4. Add masses of paths with the same value. Mean is the probability-weighted arithmetic mean; most probable compares aggregated value masses and allows ties. Here x = 2 units. No claim that the model is correct or guarantees a trial is supplied. Statement: 2 units is likeliest-outcome(D553).",
    "question": "Evaluate the claim, whether x can actually occur, whether x alone is most probable, and whether the next result is guaranteed to equal x.",
    "options": [
      "Claim true: yes; x possible: yes; x unique most probable: yes; next result guaranteed x: yes.",
      "Claim true: yes; x possible: yes; x unique most probable: no; next result guaranteed x: yes.",
      "Claim true: yes; x possible: yes; x unique most probable: no; next result guaranteed x: no.",
      "Claim true: yes; x possible: no; x unique most probable: yes; next result guaranteed x: yes.",
      "Claim true: yes; x possible: yes; x unique most probable: yes; next result guaranteed x: no.",
      "Claim true: yes; x possible: no; x unique most probable: yes; next result guaranteed x: no.",
      "Claim true: yes; x possible: no; x unique most probable: no; next result guaranteed x: yes.",
      "Claim true: yes; x possible: no; x unique most probable: no; next result guaranteed x: no.",
      "Claim true: no; x possible: yes; x unique most probable: yes; next result guaranteed x: yes.",
      "Claim true: no; x possible: yes; x unique most probable: yes; next result guaranteed x: no.",
      "Claim true: no; x possible: yes; x unique most probable: no; next result guaranteed x: yes.",
      "Claim true: no; x possible: yes; x unique most probable: no; next result guaranteed x: no.",
      "Claim true: no; x possible: no; x unique most probable: yes; next result guaranteed x: yes.",
      "Claim true: no; x possible: no; x unique most probable: yes; next result guaranteed x: no.",
      "Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: yes.",
      "Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: no."
    ],
    "answer": "Claim true: yes; x possible: yes; x unique most probable: yes; next result guaranteed x: no.",
    "settlement_stratum": "likeliest-outcome",
    "domain": "toy output",
    "boundary": "mean-is-mode",
    "variant": 0,
    "oracle": {
      "mean": "2",
      "modes": [
        "2"
      ],
      "value": "2",
      "flags": [
        true,
        true,
        true,
        false
      ],
      "masses": {
        "0": "1/4",
        "2": "1/2",
        "4": "1/4"
      }
    }
  },
  {
    "id": "outcome-careful-outcome-full-133",
    "english": "Shared definition supplied once for this stateless question: x is mean-outcome(D) asserts that x equals the probability-weighted arithmetic mean under D. x is likeliest-outcome(D) asserts that x has the highest aggregated outcome mass under D, with ties allowed. These definitions also govern the corresponding English phrases. They do not guarantee a trial result or certify the model. Fictional toy output model D554, version v3 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive, exact rational masses, not rounded observations: value 1 units with mass 1/4; value 3 units with mass 1/2; value 5 units with mass 1/4. Add masses of paths with the same value. Mean is the probability-weighted arithmetic mean; most probable compares aggregated value masses and allows ties. Here x = 4 units. No claim that the model is correct or guarantees a trial is supplied. Statement: Under D554, 4 units has the highest outcome probability, ties allowed.",
    "ainglish": "Shared definition supplied once for this stateless question: x is mean-outcome(D) asserts that x equals the probability-weighted arithmetic mean under D. x is likeliest-outcome(D) asserts that x has the highest aggregated outcome mass under D, with ties allowed. These definitions also govern the corresponding English phrases. They do not guarantee a trial result or certify the model. Fictional toy output model D554, version v3 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive, exact rational masses, not rounded observations: value 1 units with mass 1/4; value 3 units with mass 1/2; value 5 units with mass 1/4. Add masses of paths with the same value. Mean is the probability-weighted arithmetic mean; most probable compares aggregated value masses and allows ties. Here x = 4 units. No claim that the model is correct or guarantees a trial is supplied. Statement: 4 units is likeliest-outcome(D554).",
    "question": "Evaluate the claim, whether x can actually occur, whether x alone is most probable, and whether the next result is guaranteed to equal x.",
    "options": [
      "Claim true: yes; x possible: yes; x unique most probable: yes; next result guaranteed x: yes.",
      "Claim true: yes; x possible: yes; x unique most probable: yes; next result guaranteed x: no.",
      "Claim true: yes; x possible: yes; x unique most probable: no; next result guaranteed x: yes.",
      "Claim true: yes; x possible: yes; x unique most probable: no; next result guaranteed x: no.",
      "Claim true: yes; x possible: no; x unique most probable: yes; next result guaranteed x: yes.",
      "Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: no.",
      "Claim true: yes; x possible: no; x unique most probable: yes; next result guaranteed x: no.",
      "Claim true: yes; x possible: no; x unique most probable: no; next result guaranteed x: yes.",
      "Claim true: yes; x possible: no; x unique most probable: no; next result guaranteed x: no.",
      "Claim true: no; x possible: yes; x unique most probable: yes; next result guaranteed x: yes.",
      "Claim true: no; x possible: yes; x unique most probable: yes; next result guaranteed x: no.",
      "Claim true: no; x possible: yes; x unique most probable: no; next result guaranteed x: yes.",
      "Claim true: no; x possible: yes; x unique most probable: no; next result guaranteed x: no.",
      "Claim true: no; x possible: no; x unique most probable: yes; next result guaranteed x: yes.",
      "Claim true: no; x possible: no; x unique most probable: yes; next result guaranteed x: no.",
      "Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: yes."
    ],
    "answer": "Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: no.",
    "settlement_stratum": "likeliest-outcome",
    "domain": "toy output",
    "boundary": "mean-is-mode",
    "variant": 1,
    "oracle": {
      "mean": "3",
      "modes": [
        "3"
      ],
      "value": "4",
      "flags": [
        false,
        false,
        false,
        false
      ],
      "masses": {
        "1": "1/4",
        "3": "1/2",
        "5": "1/4"
      }
    }
  },
  {
    "id": "outcome-careful-outcome-full-134",
    "english": "Shared definition supplied once for this stateless question: x is mean-outcome(D) asserts that x equals the probability-weighted arithmetic mean under D. x is likeliest-outcome(D) asserts that x has the highest aggregated outcome mass under D, with ties allowed. These definitions also govern the corresponding English phrases. They do not guarantee a trial result or certify the model. Fictional toy output model D555, version v3 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive, exact rational masses, not rounded observations: value 2 units with mass 1/4; value 4 units with mass 1/2; value 6 units with mass 1/4. Add masses of paths with the same value. Mean is the probability-weighted arithmetic mean; most probable compares aggregated value masses and allows ties. Here x = 4 units. No claim that the model is correct or guarantees a trial is supplied. Statement: Under D555, 4 units has the highest outcome probability, ties allowed.",
    "ainglish": "Shared definition supplied once for this stateless question: x is mean-outcome(D) asserts that x equals the probability-weighted arithmetic mean under D. x is likeliest-outcome(D) asserts that x has the highest aggregated outcome mass under D, with ties allowed. These definitions also govern the corresponding English phrases. They do not guarantee a trial result or certify the model. Fictional toy output model D555, version v3 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive, exact rational masses, not rounded observations: value 2 units with mass 1/4; value 4 units with mass 1/2; value 6 units with mass 1/4. Add masses of paths with the same value. Mean is the probability-weighted arithmetic mean; most probable compares aggregated value masses and allows ties. Here x = 4 units. No claim that the model is correct or guarantees a trial is supplied. Statement: 4 units is likeliest-outcome(D555).",
    "question": "Evaluate the claim, whether x can actually occur, whether x alone is most probable, and whether the next result is guaranteed to equal x.",
    "options": [
      "Claim true: yes; x possible: yes; x unique most probable: yes; next result guaranteed x: yes.",
      "Claim true: yes; x possible: yes; x unique most probable: no; next result guaranteed x: yes.",
      "Claim true: yes; x possible: yes; x unique most probable: no; next result guaranteed x: no.",
      "Claim true: yes; x possible: no; x unique most probable: yes; next result guaranteed x: yes.",
      "Claim true: yes; x possible: no; x unique most probable: yes; next result guaranteed x: no.",
      "Claim true: yes; x possible: no; x unique most probable: no; next result guaranteed x: yes.",
      "Claim true: yes; x possible: yes; x unique most probable: yes; next result guaranteed x: no.",
      "Claim true: yes; x possible: no; x unique most probable: no; next result guaranteed x: no.",
      "Claim true: no; x possible: yes; x unique most probable: yes; next result guaranteed x: yes.",
      "Claim true: no; x possible: yes; x unique most probable: yes; next result guaranteed x: no.",
      "Claim true: no; x possible: yes; x unique most probable: no; next result guaranteed x: yes.",
      "Claim true: no; x possible: yes; x unique most probable: no; next result guaranteed x: no.",
      "Claim true: no; x possible: no; x unique most probable: yes; next result guaranteed x: yes.",
      "Claim true: no; x possible: no; x unique most probable: yes; next result guaranteed x: no.",
      "Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: yes.",
      "Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: no."
    ],
    "answer": "Claim true: yes; x possible: yes; x unique most probable: yes; next result guaranteed x: no.",
    "settlement_stratum": "likeliest-outcome",
    "domain": "toy output",
    "boundary": "mean-is-mode",
    "variant": 2,
    "oracle": {
      "mean": "4",
      "modes": [
        "4"
      ],
      "value": "4",
      "flags": [
        true,
        true,
        true,
        false
      ],
      "masses": {
        "2": "1/4",
        "4": "1/2",
        "6": "1/4"
      }
    }
  },
  {
    "id": "outcome-careful-outcome-full-135",
    "english": "Shared definition supplied once for this stateless question: x is mean-outcome(D) asserts that x equals the probability-weighted arithmetic mean under D. x is likeliest-outcome(D) asserts that x has the highest aggregated outcome mass under D, with ties allowed. These definitions also govern the corresponding English phrases. They do not guarantee a trial result or certify the model. Fictional toy output model D556, version v3 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive, exact rational masses, not rounded observations: value 3 units with mass 1/4; value 5 units with mass 1/2; value 7 units with mass 1/4. Add masses of paths with the same value. Mean is the probability-weighted arithmetic mean; most probable compares aggregated value masses and allows ties. Here x = 6 units. No claim that the model is correct or guarantees a trial is supplied. Statement: Under D556, 6 units has the highest outcome probability, ties allowed.",
    "ainglish": "Shared definition supplied once for this stateless question: x is mean-outcome(D) asserts that x equals the probability-weighted arithmetic mean under D. x is likeliest-outcome(D) asserts that x has the highest aggregated outcome mass under D, with ties allowed. These definitions also govern the corresponding English phrases. They do not guarantee a trial result or certify the model. Fictional toy output model D556, version v3 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive, exact rational masses, not rounded observations: value 3 units with mass 1/4; value 5 units with mass 1/2; value 7 units with mass 1/4. Add masses of paths with the same value. Mean is the probability-weighted arithmetic mean; most probable compares aggregated value masses and allows ties. Here x = 6 units. No claim that the model is correct or guarantees a trial is supplied. Statement: 6 units is likeliest-outcome(D556).",
    "question": "Evaluate the claim, whether x can actually occur, whether x alone is most probable, and whether the next result is guaranteed to equal x.",
    "options": [
      "Claim true: yes; x possible: yes; x unique most probable: yes; next result guaranteed x: yes.",
      "Claim true: yes; x possible: yes; x unique most probable: yes; next result guaranteed x: no.",
      "Claim true: yes; x possible: yes; x unique most probable: no; next result guaranteed x: yes.",
      "Claim true: yes; x possible: yes; x unique most probable: no; next result guaranteed x: no.",
      "Claim true: yes; x possible: no; x unique most probable: yes; next result guaranteed x: yes.",
      "Claim true: yes; x possible: no; x unique most probable: yes; next result guaranteed x: no.",
      "Claim true: yes; x possible: no; x unique most probable: no; next result guaranteed x: yes.",
      "Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: no.",
      "Claim true: yes; x possible: no; x unique most probable: no; next result guaranteed x: no.",
      "Claim true: no; x possible: yes; x unique most probable: yes; next result guaranteed x: yes.",
      "Claim true: no; x possible: yes; x unique most probable: yes; next result guaranteed x: no.",
      "Claim true: no; x possible: yes; x unique most probable: no; next result guaranteed x: yes.",
      "Claim true: no; x possible: yes; x unique most probable: no; next result guaranteed x: no.",
      "Claim true: no; x possible: no; x unique most probable: yes; next result guaranteed x: yes.",
      "Claim true: no; x possible: no; x unique most probable: yes; next result guaranteed x: no.",
      "Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: yes."
    ],
    "answer": "Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: no.",
    "settlement_stratum": "likeliest-outcome",
    "domain": "toy output",
    "boundary": "mean-is-mode",
    "variant": 3,
    "oracle": {
      "mean": "5",
      "modes": [
        "5"
      ],
      "value": "6",
      "flags": [
        false,
        false,
        false,
        false
      ],
      "masses": {
        "3": "1/4",
        "5": "1/2",
        "7": "1/4"
      }
    }
  },
  {
    "id": "outcome-careful-outcome-full-136",
    "english": "Shared definition supplied once for this stateless question: x is mean-outcome(D) asserts that x equals the probability-weighted arithmetic mean under D. x is likeliest-outcome(D) asserts that x has the highest aggregated outcome mass under D, with ties allowed. These definitions also govern the corresponding English phrases. They do not guarantee a trial result or certify the model. Fictional toy output model D557, version v3 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive, exact rational masses, not rounded observations: value 0 units with mass 1/5; value 4 units with mass 3/10; value 4 units with mass 3/10; value 8 units with mass 1/5. Add masses of paths with the same value. Mean is the probability-weighted arithmetic mean; most probable compares aggregated value masses and allows ties. Here x = 4 units. No claim that the model is correct or guarantees a trial is supplied. Statement: Under D557, 4 units has the highest outcome probability, ties allowed.",
    "ainglish": "Shared definition supplied once for this stateless question: x is mean-outcome(D) asserts that x equals the probability-weighted arithmetic mean under D. x is likeliest-outcome(D) asserts that x has the highest aggregated outcome mass under D, with ties allowed. These definitions also govern the corresponding English phrases. They do not guarantee a trial result or certify the model. Fictional toy output model D557, version v3 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive, exact rational masses, not rounded observations: value 0 units with mass 1/5; value 4 units with mass 3/10; value 4 units with mass 3/10; value 8 units with mass 1/5. Add masses of paths with the same value. Mean is the probability-weighted arithmetic mean; most probable compares aggregated value masses and allows ties. Here x = 4 units. No claim that the model is correct or guarantees a trial is supplied. Statement: 4 units is likeliest-outcome(D557).",
    "question": "Evaluate the claim, whether x can actually occur, whether x alone is most probable, and whether the next result is guaranteed to equal x.",
    "options": [
      "Claim true: yes; x possible: yes; x unique most probable: yes; next result guaranteed x: yes.",
      "Claim true: yes; x possible: yes; x unique most probable: no; next result guaranteed x: yes.",
      "Claim true: yes; x possible: yes; x unique most probable: no; next result guaranteed x: no.",
      "Claim true: yes; x possible: no; x unique most probable: yes; next result guaranteed x: yes.",
      "Claim true: yes; x possible: no; x unique most probable: yes; next result guaranteed x: no.",
      "Claim true: yes; x possible: no; x unique most probable: no; next result guaranteed x: yes.",
      "Claim true: yes; x possible: no; x unique most probable: no; next result guaranteed x: no.",
      "Claim true: no; x possible: yes; x unique most probable: yes; next result guaranteed x: yes.",
      "Claim true: yes; x possible: yes; x unique most probable: yes; next result guaranteed x: no.",
      "Claim true: no; x possible: yes; x unique most probable: yes; next result guaranteed x: no.",
      "Claim true: no; x possible: yes; x unique most probable: no; next result guaranteed x: yes.",
      "Claim true: no; x possible: yes; x unique most probable: no; next result guaranteed x: no.",
      "Claim true: no; x possible: no; x unique most probable: yes; next result guaranteed x: yes.",
      "Claim true: no; x possible: no; x unique most probable: yes; next result guaranteed x: no.",
      "Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: yes.",
      "Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: no."
    ],
    "answer": "Claim true: yes; x possible: yes; x unique most probable: yes; next result guaranteed x: no.",
    "settlement_stratum": "likeliest-outcome",
    "domain": "toy output",
    "boundary": "aggregate-paths",
    "variant": 0,
    "oracle": {
      "mean": "4",
      "modes": [
        "4"
      ],
      "value": "4",
      "flags": [
        true,
        true,
        true,
        false
      ],
      "masses": {
        "0": "1/5",
        "4": "3/5",
        "8": "1/5"
      }
    }
  },
  {
    "id": "outcome-careful-outcome-full-137",
    "english": "Shared definition supplied once for this stateless question: x is mean-outcome(D) asserts that x equals the probability-weighted arithmetic mean under D. x is likeliest-outcome(D) asserts that x has the highest aggregated outcome mass under D, with ties allowed. These definitions also govern the corresponding English phrases. They do not guarantee a trial result or certify the model. Fictional toy output model D558, version v3 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive, exact rational masses, not rounded observations: value 1 units with mass 1/5; value 5 units with mass 3/10; value 5 units with mass 3/10; value 9 units with mass 1/5. Add masses of paths with the same value. Mean is the probability-weighted arithmetic mean; most probable compares aggregated value masses and allows ties. Here x = 6 units. No claim that the model is correct or guarantees a trial is supplied. Statement: Under D558, 6 units has the highest outcome probability, ties allowed.",
    "ainglish": "Shared definition supplied once for this stateless question: x is mean-outcome(D) asserts that x equals the probability-weighted arithmetic mean under D. x is likeliest-outcome(D) asserts that x has the highest aggregated outcome mass under D, with ties allowed. These definitions also govern the corresponding English phrases. They do not guarantee a trial result or certify the model. Fictional toy output model D558, version v3 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive, exact rational masses, not rounded observations: value 1 units with mass 1/5; value 5 units with mass 3/10; value 5 units with mass 3/10; value 9 units with mass 1/5. Add masses of paths with the same value. Mean is the probability-weighted arithmetic mean; most probable compares aggregated value masses and allows ties. Here x = 6 units. No claim that the model is correct or guarantees a trial is supplied. Statement: 6 units is likeliest-outcome(D558).",
    "question": "Evaluate the claim, whether x can actually occur, whether x alone is most probable, and whether the next result is guaranteed to equal x.",
    "options": [
      "Claim true: yes; x possible: yes; x unique most probable: yes; next result guaranteed x: yes.",
      "Claim true: yes; x possible: yes; x unique most probable: yes; next result guaranteed x: no.",
      "Claim true: yes; x possible: yes; x unique most probable: no; next result guaranteed x: yes.",
      "Claim true: yes; x possible: yes; x unique most probable: no; next result guaranteed x: no.",
      "Claim true: yes; x possible: no; x unique most probable: yes; next result guaranteed x: yes.",
      "Claim true: yes; x possible: no; x unique most probable: yes; next result guaranteed x: no.",
      "Claim true: yes; x possible: no; x unique most probable: no; next result guaranteed x: yes.",
      "Claim true: yes; x possible: no; x unique most probable: no; next result guaranteed x: no.",
      "Claim true: no; x possible: yes; x unique most probable: yes; next result guaranteed x: yes.",
      "Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: no.",
      "Claim true: no; x possible: yes; x unique most probable: yes; next result guaranteed x: no.",
      "Claim true: no; x possible: yes; x unique most probable: no; next result guaranteed x: yes.",
      "Claim true: no; x possible: yes; x unique most probable: no; next result guaranteed x: no.",
      "Claim true: no; x possible: no; x unique most probable: yes; next result guaranteed x: yes.",
      "Claim true: no; x possible: no; x unique most probable: yes; next result guaranteed x: no.",
      "Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: yes."
    ],
    "answer": "Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: no.",
    "settlement_stratum": "likeliest-outcome",
    "domain": "toy output",
    "boundary": "aggregate-paths",
    "variant": 1,
    "oracle": {
      "mean": "5",
      "modes": [
        "5"
      ],
      "value": "6",
      "flags": [
        false,
        false,
        false,
        false
      ],
      "masses": {
        "1": "1/5",
        "5": "3/5",
        "9": "1/5"
      }
    }
  },
  {
    "id": "outcome-careful-outcome-full-138",
    "english": "Shared definition supplied once for this stateless question: x is mean-outcome(D) asserts that x equals the probability-weighted arithmetic mean under D. x is likeliest-outcome(D) asserts that x has the highest aggregated outcome mass under D, with ties allowed. These definitions also govern the corresponding English phrases. They do not guarantee a trial result or certify the model. Fictional toy output model D559, version v3 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive, exact rational masses, not rounded observations: value 2 units with mass 1/5; value 6 units with mass 3/10; value 6 units with mass 3/10; value 10 units with mass 1/5. Add masses of paths with the same value. Mean is the probability-weighted arithmetic mean; most probable compares aggregated value masses and allows ties. Here x = 6 units. No claim that the model is correct or guarantees a trial is supplied. Statement: Under D559, 6 units has the highest outcome probability, ties allowed.",
    "ainglish": "Shared definition supplied once for this stateless question: x is mean-outcome(D) asserts that x equals the probability-weighted arithmetic mean under D. x is likeliest-outcome(D) asserts that x has the highest aggregated outcome mass under D, with ties allowed. These definitions also govern the corresponding English phrases. They do not guarantee a trial result or certify the model. Fictional toy output model D559, version v3 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive, exact rational masses, not rounded observations: value 2 units with mass 1/5; value 6 units with mass 3/10; value 6 units with mass 3/10; value 10 units with mass 1/5. Add masses of paths with the same value. Mean is the probability-weighted arithmetic mean; most probable compares aggregated value masses and allows ties. Here x = 6 units. No claim that the model is correct or guarantees a trial is supplied. Statement: 6 units is likeliest-outcome(D559).",
    "question": "Evaluate the claim, whether x can actually occur, whether x alone is most probable, and whether the next result is guaranteed to equal x.",
    "options": [
      "Claim true: yes; x possible: yes; x unique most probable: yes; next result guaranteed x: yes.",
      "Claim true: yes; x possible: yes; x unique most probable: no; next result guaranteed x: yes.",
      "Claim true: yes; x possible: yes; x unique most probable: no; next result guaranteed x: no.",
      "Claim true: yes; x possible: no; x unique most probable: yes; next result guaranteed x: yes.",
      "Claim true: yes; x possible: no; x unique most probable: yes; next result guaranteed x: no.",
      "Claim true: yes; x possible: no; x unique most probable: no; next result guaranteed x: yes.",
      "Claim true: yes; x possible: no; x unique most probable: no; next result guaranteed x: no.",
      "Claim true: no; x possible: yes; x unique most probable: yes; next result guaranteed x: yes.",
      "Claim true: no; x possible: yes; x unique most probable: yes; next result guaranteed x: no.",
      "Claim true: no; x possible: yes; x unique most probable: no; next result guaranteed x: yes.",
      "Claim true: yes; x possible: yes; x unique most probable: yes; next result guaranteed x: no.",
      "Claim true: no; x possible: yes; x unique most probable: no; next result guaranteed x: no.",
      "Claim true: no; x possible: no; x unique most probable: yes; next result guaranteed x: yes.",
      "Claim true: no; x possible: no; x unique most probable: yes; next result guaranteed x: no.",
      "Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: yes.",
      "Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: no."
    ],
    "answer": "Claim true: yes; x possible: yes; x unique most probable: yes; next result guaranteed x: no.",
    "settlement_stratum": "likeliest-outcome",
    "domain": "toy output",
    "boundary": "aggregate-paths",
    "variant": 2,
    "oracle": {
      "mean": "6",
      "modes": [
        "6"
      ],
      "value": "6",
      "flags": [
        true,
        true,
        true,
        false
      ],
      "masses": {
        "2": "1/5",
        "6": "3/5",
        "10": "1/5"
      }
    }
  },
  {
    "id": "outcome-careful-outcome-full-139",
    "english": "Shared definition supplied once for this stateless question: x is mean-outcome(D) asserts that x equals the probability-weighted arithmetic mean under D. x is likeliest-outcome(D) asserts that x has the highest aggregated outcome mass under D, with ties allowed. These definitions also govern the corresponding English phrases. They do not guarantee a trial result or certify the model. Fictional toy output model D560, version v3 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive, exact rational masses, not rounded observations: value 3 units with mass 1/5; value 7 units with mass 3/10; value 7 units with mass 3/10; value 11 units with mass 1/5. Add masses of paths with the same value. Mean is the probability-weighted arithmetic mean; most probable compares aggregated value masses and allows ties. Here x = 8 units. No claim that the model is correct or guarantees a trial is supplied. Statement: Under D560, 8 units has the highest outcome probability, ties allowed.",
    "ainglish": "Shared definition supplied once for this stateless question: x is mean-outcome(D) asserts that x equals the probability-weighted arithmetic mean under D. x is likeliest-outcome(D) asserts that x has the highest aggregated outcome mass under D, with ties allowed. These definitions also govern the corresponding English phrases. They do not guarantee a trial result or certify the model. Fictional toy output model D560, version v3 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive, exact rational masses, not rounded observations: value 3 units with mass 1/5; value 7 units with mass 3/10; value 7 units with mass 3/10; value 11 units with mass 1/5. Add masses of paths with the same value. Mean is the probability-weighted arithmetic mean; most probable compares aggregated value masses and allows ties. Here x = 8 units. No claim that the model is correct or guarantees a trial is supplied. Statement: 8 units is likeliest-outcome(D560).",
    "question": "Evaluate the claim, whether x can actually occur, whether x alone is most probable, and whether the next result is guaranteed to equal x.",
    "options": [
      "Claim true: yes; x possible: yes; x unique most probable: yes; next result guaranteed x: yes.",
      "Claim true: yes; x possible: yes; x unique most probable: yes; next result guaranteed x: no.",
      "Claim true: yes; x possible: yes; x unique most probable: no; next result guaranteed x: yes.",
      "Claim true: yes; x possible: yes; x unique most probable: no; next result guaranteed x: no.",
      "Claim true: yes; x possible: no; x unique most probable: yes; next result guaranteed x: yes.",
      "Claim true: yes; x possible: no; x unique most probable: yes; next result guaranteed x: no.",
      "Claim true: yes; x possible: no; x unique most probable: no; next result guaranteed x: yes.",
      "Claim true: yes; x possible: no; x unique most probable: no; next result guaranteed x: no.",
      "Claim true: no; x possible: yes; x unique most probable: yes; next result guaranteed x: yes.",
      "Claim true: no; x possible: yes; x unique most probable: yes; next result guaranteed x: no.",
      "Claim true: no; x possible: yes; x unique most probable: no; next result guaranteed x: yes.",
      "Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: no.",
      "Claim true: no; x possible: yes; x unique most probable: no; next result guaranteed x: no.",
      "Claim true: no; x possible: no; x unique most probable: yes; next result guaranteed x: yes.",
      "Claim true: no; x possible: no; x unique most probable: yes; next result guaranteed x: no.",
      "Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: yes."
    ],
    "answer": "Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: no.",
    "settlement_stratum": "likeliest-outcome",
    "domain": "toy output",
    "boundary": "aggregate-paths",
    "variant": 3,
    "oracle": {
      "mean": "7",
      "modes": [
        "7"
      ],
      "value": "8",
      "flags": [
        false,
        false,
        false,
        false
      ],
      "masses": {
        "3": "1/5",
        "7": "3/5",
        "11": "1/5"
      }
    }
  },
  {
    "id": "outcome-careful-outcome-full-140",
    "english": "Shared definition supplied once for this stateless question: x is mean-outcome(D) asserts that x equals the probability-weighted arithmetic mean under D. x is likeliest-outcome(D) asserts that x has the highest aggregated outcome mass under D, with ties allowed. These definitions also govern the corresponding English phrases. They do not guarantee a trial result or certify the model. Fictional queue delay model D561, version v3 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive, exact rational masses, not rounded observations: value 0 units with mass 1/2; value 6 units with mass 1/2. Add masses of paths with the same value. Mean is the probability-weighted arithmetic mean; most probable compares aggregated value masses and allows ties. Here x = 0 units. No claim that the model is correct or guarantees a trial is supplied. Statement: Under D561, 0 units has the highest outcome probability, ties allowed.",
    "ainglish": "Shared definition supplied once for this stateless question: x is mean-outcome(D) asserts that x equals the probability-weighted arithmetic mean under D. x is likeliest-outcome(D) asserts that x has the highest aggregated outcome mass under D, with ties allowed. These definitions also govern the corresponding English phrases. They do not guarantee a trial result or certify the model. Fictional queue delay model D561, version v3 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive, exact rational masses, not rounded observations: value 0 units with mass 1/2; value 6 units with mass 1/2. Add masses of paths with the same value. Mean is the probability-weighted arithmetic mean; most probable compares aggregated value masses and allows ties. Here x = 0 units. No claim that the model is correct or guarantees a trial is supplied. Statement: 0 units is likeliest-outcome(D561).",
    "question": "Evaluate the claim, whether x can actually occur, whether x alone is most probable, and whether the next result is guaranteed to equal x.",
    "options": [
      "Claim true: yes; x possible: yes; x unique most probable: yes; next result guaranteed x: yes.",
      "Claim true: yes; x possible: yes; x unique most probable: yes; next result guaranteed x: no.",
      "Claim true: yes; x possible: yes; x unique most probable: no; next result guaranteed x: yes.",
      "Claim true: yes; x possible: no; x unique most probable: yes; next result guaranteed x: yes.",
      "Claim true: yes; x possible: no; x unique most probable: yes; next result guaranteed x: no.",
      "Claim true: yes; x possible: no; x unique most probable: no; next result guaranteed x: yes.",
      "Claim true: yes; x possible: no; x unique most probable: no; next result guaranteed x: no.",
      "Claim true: no; x possible: yes; x unique most probable: yes; next result guaranteed x: yes.",
      "Claim true: no; x possible: yes; x unique most probable: yes; next result guaranteed x: no.",
      "Claim true: no; x possible: yes; x unique most probable: no; next result guaranteed x: yes.",
      "Claim true: no; x possible: yes; x unique most probable: no; next result guaranteed x: no.",
      "Claim true: no; x possible: no; x unique most probable: yes; next result guaranteed x: yes.",
      "Claim true: yes; x possible: yes; x unique most probable: no; next result guaranteed x: no.",
      "Claim true: no; x possible: no; x unique most probable: yes; next result guaranteed x: no.",
      "Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: yes.",
      "Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: no."
    ],
    "answer": "Claim true: yes; x possible: yes; x unique most probable: no; next result guaranteed x: no.",
    "settlement_stratum": "likeliest-outcome",
    "domain": "queue delay",
    "boundary": "mean-outside",
    "variant": 0,
    "oracle": {
      "mean": "3",
      "modes": [
        "0",
        "6"
      ],
      "value": "0",
      "flags": [
        true,
        true,
        false,
        false
      ],
      "masses": {
        "0": "1/2",
        "6": "1/2"
      }
    }
  },
  {
    "id": "outcome-careful-outcome-full-141",
    "english": "Shared definition supplied once for this stateless question: x is mean-outcome(D) asserts that x equals the probability-weighted arithmetic mean under D. x is likeliest-outcome(D) asserts that x has the highest aggregated outcome mass under D, with ties allowed. These definitions also govern the corresponding English phrases. They do not guarantee a trial result or certify the model. Fictional queue delay model D562, version v3 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive, exact rational masses, not rounded observations: value 1 units with mass 1/2; value 7 units with mass 1/2. Add masses of paths with the same value. Mean is the probability-weighted arithmetic mean; most probable compares aggregated value masses and allows ties. Here x = 2 units. No claim that the model is correct or guarantees a trial is supplied. Statement: Under D562, 2 units has the highest outcome probability, ties allowed.",
    "ainglish": "Shared definition supplied once for this stateless question: x is mean-outcome(D) asserts that x equals the probability-weighted arithmetic mean under D. x is likeliest-outcome(D) asserts that x has the highest aggregated outcome mass under D, with ties allowed. These definitions also govern the corresponding English phrases. They do not guarantee a trial result or certify the model. Fictional queue delay model D562, version v3 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive, exact rational masses, not rounded observations: value 1 units with mass 1/2; value 7 units with mass 1/2. Add masses of paths with the same value. Mean is the probability-weighted arithmetic mean; most probable compares aggregated value masses and allows ties. Here x = 2 units. No claim that the model is correct or guarantees a trial is supplied. Statement: 2 units is likeliest-outcome(D562).",
    "question": "Evaluate the claim, whether x can actually occur, whether x alone is most probable, and whether the next result is guaranteed to equal x.",
    "options": [
      "Claim true: yes; x possible: yes; x unique most probable: yes; next result guaranteed x: yes.",
      "Claim true: yes; x possible: yes; x unique most probable: yes; next result guaranteed x: no.",
      "Claim true: yes; x possible: yes; x unique most probable: no; next result guaranteed x: yes.",
      "Claim true: yes; x possible: yes; x unique most probable: no; next result guaranteed x: no.",
      "Claim true: yes; x possible: no; x unique most probable: yes; next result guaranteed x: yes.",
      "Claim true: yes; x possible: no; x unique most probable: yes; next result guaranteed x: no.",
      "Claim true: yes; x possible: no; x unique most probable: no; next result guaranteed x: yes.",
      "Claim true: yes; x possible: no; x unique most probable: no; next result guaranteed x: no.",
      "Claim true: no; x possible: yes; x unique most probable: yes; next result guaranteed x: yes.",
      "Claim true: no; x possible: yes; x unique most probable: yes; next result guaranteed x: no.",
      "Claim true: no; x possible: yes; x unique most probable: no; next result guaranteed x: yes.",
      "Claim true: no; x possible: yes; x unique most probable: no; next result guaranteed x: no.",
      "Claim true: no; x possible: no; x unique most probable: yes; next result guaranteed x: yes.",
      "Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: no.",
      "Claim true: no; x possible: no; x unique most probable: yes; next result guaranteed x: no.",
      "Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: yes."
    ],
    "answer": "Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: no.",
    "settlement_stratum": "likeliest-outcome",
    "domain": "queue delay",
    "boundary": "mean-outside",
    "variant": 1,
    "oracle": {
      "mean": "4",
      "modes": [
        "1",
        "7"
      ],
      "value": "2",
      "flags": [
        false,
        false,
        false,
        false
      ],
      "masses": {
        "1": "1/2",
        "7": "1/2"
      }
    }
  },
  {
    "id": "outcome-careful-outcome-full-142",
    "english": "Shared definition supplied once for this stateless question: x is mean-outcome(D) asserts that x equals the probability-weighted arithmetic mean under D. x is likeliest-outcome(D) asserts that x has the highest aggregated outcome mass under D, with ties allowed. These definitions also govern the corresponding English phrases. They do not guarantee a trial result or certify the model. Fictional queue delay model D563, version v3 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive, exact rational masses, not rounded observations: value 2 units with mass 1/2; value 8 units with mass 1/2. Add masses of paths with the same value. Mean is the probability-weighted arithmetic mean; most probable compares aggregated value masses and allows ties. Here x = 2 units. No claim that the model is correct or guarantees a trial is supplied. Statement: Under D563, 2 units has the highest outcome probability, ties allowed.",
    "ainglish": "Shared definition supplied once for this stateless question: x is mean-outcome(D) asserts that x equals the probability-weighted arithmetic mean under D. x is likeliest-outcome(D) asserts that x has the highest aggregated outcome mass under D, with ties allowed. These definitions also govern the corresponding English phrases. They do not guarantee a trial result or certify the model. Fictional queue delay model D563, version v3 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive, exact rational masses, not rounded observations: value 2 units with mass 1/2; value 8 units with mass 1/2. Add masses of paths with the same value. Mean is the probability-weighted arithmetic mean; most probable compares aggregated value masses and allows ties. Here x = 2 units. No claim that the model is correct or guarantees a trial is supplied. Statement: 2 units is likeliest-outcome(D563).",
    "question": "Evaluate the claim, whether x can actually occur, whether x alone is most probable, and whether the next result is guaranteed to equal x.",
    "options": [
      "Claim true: yes; x possible: yes; x unique most probable: yes; next result guaranteed x: yes.",
      "Claim true: yes; x possible: yes; x unique most probable: yes; next result guaranteed x: no.",
      "Claim true: yes; x possible: yes; x unique most probable: no; next result guaranteed x: yes.",
      "Claim true: yes; x possible: no; x unique most probable: yes; next result guaranteed x: yes.",
      "Claim true: yes; x possible: no; x unique most probable: yes; next result guaranteed x: no.",
      "Claim true: yes; x possible: no; x unique most probable: no; next result guaranteed x: yes.",
      "Claim true: yes; x possible: no; x unique most probable: no; next result guaranteed x: no.",
      "Claim true: no; x possible: yes; x unique most probable: yes; next result guaranteed x: yes.",
      "Claim true: no; x possible: yes; x unique most probable: yes; next result guaranteed x: no.",
      "Claim true: no; x possible: yes; x unique most probable: no; next result guaranteed x: yes.",
      "Claim true: no; x possible: yes; x unique most probable: no; next result guaranteed x: no.",
      "Claim true: no; x possible: no; x unique most probable: yes; next result guaranteed x: yes.",
      "Claim true: no; x possible: no; x unique most probable: yes; next result guaranteed x: no.",
      "Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: yes.",
      "Claim true: yes; x possible: yes; x unique most probable: no; next result guaranteed x: no.",
      "Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: no."
    ],
    "answer": "Claim true: yes; x possible: yes; x unique most probable: no; next result guaranteed x: no.",
    "settlement_stratum": "likeliest-outcome",
    "domain": "queue delay",
    "boundary": "mean-outside",
    "variant": 2,
    "oracle": {
      "mean": "5",
      "modes": [
        "2",
        "8"
      ],
      "value": "2",
      "flags": [
        true,
        true,
        false,
        false
      ],
      "masses": {
        "2": "1/2",
        "8": "1/2"
      }
    }
  },
  {
    "id": "outcome-careful-outcome-full-143",
    "english": "Shared definition supplied once for this stateless question: x is mean-outcome(D) asserts that x equals the probability-weighted arithmetic mean under D. x is likeliest-outcome(D) asserts that x has the highest aggregated outcome mass under D, with ties allowed. These definitions also govern the corresponding English phrases. They do not guarantee a trial result or certify the model. Fictional queue delay model D564, version v3 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive, exact rational masses, not rounded observations: value 3 units with mass 1/2; value 9 units with mass 1/2. Add masses of paths with the same value. Mean is the probability-weighted arithmetic mean; most probable compares aggregated value masses and allows ties. Here x = 4 units. No claim that the model is correct or guarantees a trial is supplied. Statement: Under D564, 4 units has the highest outcome probability, ties allowed.",
    "ainglish": "Shared definition supplied once for this stateless question: x is mean-outcome(D) asserts that x equals the probability-weighted arithmetic mean under D. x is likeliest-outcome(D) asserts that x has the highest aggregated outcome mass under D, with ties allowed. These definitions also govern the corresponding English phrases. They do not guarantee a trial result or certify the model. Fictional queue delay model D564, version v3 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive, exact rational masses, not rounded observations: value 3 units with mass 1/2; value 9 units with mass 1/2. Add masses of paths with the same value. Mean is the probability-weighted arithmetic mean; most probable compares aggregated value masses and allows ties. Here x = 4 units. No claim that the model is correct or guarantees a trial is supplied. Statement: 4 units is likeliest-outcome(D564).",
    "question": "Evaluate the claim, whether x can actually occur, whether x alone is most probable, and whether the next result is guaranteed to equal x.",
    "options": [
      "Claim true: yes; x possible: yes; x unique most probable: yes; next result guaranteed x: yes.",
      "Claim true: yes; x possible: yes; x unique most probable: yes; next result guaranteed x: no.",
      "Claim true: yes; x possible: yes; x unique most probable: no; next result guaranteed x: yes.",
      "Claim true: yes; x possible: yes; x unique most probable: no; next result guaranteed x: no.",
      "Claim true: yes; x possible: no; x unique most probable: yes; next result guaranteed x: yes.",
      "Claim true: yes; x possible: no; x unique most probable: yes; next result guaranteed x: no.",
      "Claim true: yes; x possible: no; x unique most probable: no; next result guaranteed x: yes.",
      "Claim true: yes; x possible: no; x unique most probable: no; next result guaranteed x: no.",
      "Claim true: no; x possible: yes; x unique most probable: yes; next result guaranteed x: yes.",
      "Claim true: no; x possible: yes; x unique most probable: yes; next result guaranteed x: no.",
      "Claim true: no; x possible: yes; x unique most probable: no; next result guaranteed x: yes.",
      "Claim true: no; x possible: yes; x unique most probable: no; next result guaranteed x: no.",
      "Claim true: no; x possible: no; x unique most probable: yes; next result guaranteed x: yes.",
      "Claim true: no; x possible: no; x unique most probable: yes; next result guaranteed x: no.",
      "Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: yes.",
      "Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: no."
    ],
    "answer": "Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: no.",
    "settlement_stratum": "likeliest-outcome",
    "domain": "queue delay",
    "boundary": "mean-outside",
    "variant": 3,
    "oracle": {
      "mean": "6",
      "modes": [
        "3",
        "9"
      ],
      "value": "4",
      "flags": [
        false,
        false,
        false,
        false
      ],
      "masses": {
        "3": "1/2",
        "9": "1/2"
      }
    }
  },
  {
    "id": "outcome-careful-outcome-full-144",
    "english": "Shared definition supplied once for this stateless question: x is mean-outcome(D) asserts that x equals the probability-weighted arithmetic mean under D. x is likeliest-outcome(D) asserts that x has the highest aggregated outcome mass under D, with ties allowed. These definitions also govern the corresponding English phrases. They do not guarantee a trial result or certify the model. Fictional queue delay model D565, version v3 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive, exact rational masses, not rounded observations: value 0 units with mass 2/5; value 2 units with mass 3/10; value 5 units with mass 3/10. Add masses of paths with the same value. Mean is the probability-weighted arithmetic mean; most probable compares aggregated value masses and allows ties. Here x = 0 units. No claim that the model is correct or guarantees a trial is supplied. Statement: Under D565, 0 units has the highest outcome probability, ties allowed.",
    "ainglish": "Shared definition supplied once for this stateless question: x is mean-outcome(D) asserts that x equals the probability-weighted arithmetic mean under D. x is likeliest-outcome(D) asserts that x has the highest aggregated outcome mass under D, with ties allowed. These definitions also govern the corresponding English phrases. They do not guarantee a trial result or certify the model. Fictional queue delay model D565, version v3 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive, exact rational masses, not rounded observations: value 0 units with mass 2/5; value 2 units with mass 3/10; value 5 units with mass 3/10. Add masses of paths with the same value. Mean is the probability-weighted arithmetic mean; most probable compares aggregated value masses and allows ties. Here x = 0 units. No claim that the model is correct or guarantees a trial is supplied. Statement: 0 units is likeliest-outcome(D565).",
    "question": "Evaluate the claim, whether x can actually occur, whether x alone is most probable, and whether the next result is guaranteed to equal x.",
    "options": [
      "Claim true: yes; x possible: yes; x unique most probable: yes; next result guaranteed x: no.",
      "Claim true: yes; x possible: yes; x unique most probable: yes; next result guaranteed x: yes.",
      "Claim true: yes; x possible: yes; x unique most probable: no; next result guaranteed x: yes.",
      "Claim true: yes; x possible: yes; x unique most probable: no; next result guaranteed x: no.",
      "Claim true: yes; x possible: no; x unique most probable: yes; next result guaranteed x: yes.",
      "Claim true: yes; x possible: no; x unique most probable: yes; next result guaranteed x: no.",
      "Claim true: yes; x possible: no; x unique most probable: no; next result guaranteed x: yes.",
      "Claim true: yes; x possible: no; x unique most probable: no; next result guaranteed x: no.",
      "Claim true: no; x possible: yes; x unique most probable: yes; next result guaranteed x: yes.",
      "Claim true: no; x possible: yes; x unique most probable: yes; next result guaranteed x: no.",
      "Claim true: no; x possible: yes; x unique most probable: no; next result guaranteed x: yes.",
      "Claim true: no; x possible: yes; x unique most probable: no; next result guaranteed x: no.",
      "Claim true: no; x possible: no; x unique most probable: yes; next result guaranteed x: yes.",
      "Claim true: no; x possible: no; x unique most probable: yes; next result guaranteed x: no.",
      "Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: yes.",
      "Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: no."
    ],
    "answer": "Claim true: yes; x possible: yes; x unique most probable: yes; next result guaranteed x: no.",
    "settlement_stratum": "likeliest-outcome",
    "domain": "queue delay",
    "boundary": "mode-below-half",
    "variant": 0,
    "oracle": {
      "mean": "21/10",
      "modes": [
        "0"
      ],
      "value": "0",
      "flags": [
        true,
        true,
        true,
        false
      ],
      "masses": {
        "0": "2/5",
        "2": "3/10",
        "5": "3/10"
      }
    }
  },
  {
    "id": "outcome-careful-outcome-full-145",
    "english": "Shared definition supplied once for this stateless question: x is mean-outcome(D) asserts that x equals the probability-weighted arithmetic mean under D. x is likeliest-outcome(D) asserts that x has the highest aggregated outcome mass under D, with ties allowed. These definitions also govern the corresponding English phrases. They do not guarantee a trial result or certify the model. Fictional queue delay model D566, version v3 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive, exact rational masses, not rounded observations: value 1 units with mass 2/5; value 3 units with mass 3/10; value 6 units with mass 3/10. Add masses of paths with the same value. Mean is the probability-weighted arithmetic mean; most probable compares aggregated value masses and allows ties. Here x = 2 units. No claim that the model is correct or guarantees a trial is supplied. Statement: Under D566, 2 units has the highest outcome probability, ties allowed.",
    "ainglish": "Shared definition supplied once for this stateless question: x is mean-outcome(D) asserts that x equals the probability-weighted arithmetic mean under D. x is likeliest-outcome(D) asserts that x has the highest aggregated outcome mass under D, with ties allowed. These definitions also govern the corresponding English phrases. They do not guarantee a trial result or certify the model. Fictional queue delay model D566, version v3 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive, exact rational masses, not rounded observations: value 1 units with mass 2/5; value 3 units with mass 3/10; value 6 units with mass 3/10. Add masses of paths with the same value. Mean is the probability-weighted arithmetic mean; most probable compares aggregated value masses and allows ties. Here x = 2 units. No claim that the model is correct or guarantees a trial is supplied. Statement: 2 units is likeliest-outcome(D566).",
    "question": "Evaluate the claim, whether x can actually occur, whether x alone is most probable, and whether the next result is guaranteed to equal x.",
    "options": [
      "Claim true: yes; x possible: yes; x unique most probable: yes; next result guaranteed x: yes.",
      "Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: no.",
      "Claim true: yes; x possible: yes; x unique most probable: yes; next result guaranteed x: no.",
      "Claim true: yes; x possible: yes; x unique most probable: no; next result guaranteed x: yes.",
      "Claim true: yes; x possible: yes; x unique most probable: no; next result guaranteed x: no.",
      "Claim true: yes; x possible: no; x unique most probable: yes; next result guaranteed x: yes.",
      "Claim true: yes; x possible: no; x unique most probable: yes; next result guaranteed x: no.",
      "Claim true: yes; x possible: no; x unique most probable: no; next result guaranteed x: yes.",
      "Claim true: yes; x possible: no; x unique most probable: no; next result guaranteed x: no.",
      "Claim true: no; x possible: yes; x unique most probable: yes; next result guaranteed x: yes.",
      "Claim true: no; x possible: yes; x unique most probable: yes; next result guaranteed x: no.",
      "Claim true: no; x possible: yes; x unique most probable: no; next result guaranteed x: yes.",
      "Claim true: no; x possible: yes; x unique most probable: no; next result guaranteed x: no.",
      "Claim true: no; x possible: no; x unique most probable: yes; next result guaranteed x: yes.",
      "Claim true: no; x possible: no; x unique most probable: yes; next result guaranteed x: no.",
      "Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: yes."
    ],
    "answer": "Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: no.",
    "settlement_stratum": "likeliest-outcome",
    "domain": "queue delay",
    "boundary": "mode-below-half",
    "variant": 1,
    "oracle": {
      "mean": "31/10",
      "modes": [
        "1"
      ],
      "value": "2",
      "flags": [
        false,
        false,
        false,
        false
      ],
      "masses": {
        "1": "2/5",
        "3": "3/10",
        "6": "3/10"
      }
    }
  },
  {
    "id": "outcome-careful-outcome-full-146",
    "english": "Shared definition supplied once for this stateless question: x is mean-outcome(D) asserts that x equals the probability-weighted arithmetic mean under D. x is likeliest-outcome(D) asserts that x has the highest aggregated outcome mass under D, with ties allowed. These definitions also govern the corresponding English phrases. They do not guarantee a trial result or certify the model. Fictional queue delay model D567, version v3 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive, exact rational masses, not rounded observations: value 2 units with mass 2/5; value 4 units with mass 3/10; value 7 units with mass 3/10. Add masses of paths with the same value. Mean is the probability-weighted arithmetic mean; most probable compares aggregated value masses and allows ties. Here x = 2 units. No claim that the model is correct or guarantees a trial is supplied. Statement: Under D567, 2 units has the highest outcome probability, ties allowed.",
    "ainglish": "Shared definition supplied once for this stateless question: x is mean-outcome(D) asserts that x equals the probability-weighted arithmetic mean under D. x is likeliest-outcome(D) asserts that x has the highest aggregated outcome mass under D, with ties allowed. These definitions also govern the corresponding English phrases. They do not guarantee a trial result or certify the model. Fictional queue delay model D567, version v3 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive, exact rational masses, not rounded observations: value 2 units with mass 2/5; value 4 units with mass 3/10; value 7 units with mass 3/10. Add masses of paths with the same value. Mean is the probability-weighted arithmetic mean; most probable compares aggregated value masses and allows ties. Here x = 2 units. No claim that the model is correct or guarantees a trial is supplied. Statement: 2 units is likeliest-outcome(D567).",
    "question": "Evaluate the claim, whether x can actually occur, whether x alone is most probable, and whether the next result is guaranteed to equal x.",
    "options": [
      "Claim true: yes; x possible: yes; x unique most probable: yes; next result guaranteed x: yes.",
      "Claim true: yes; x possible: yes; x unique most probable: no; next result guaranteed x: yes.",
      "Claim true: yes; x possible: yes; x unique most probable: yes; next result guaranteed x: no.",
      "Claim true: yes; x possible: yes; x unique most probable: no; next result guaranteed x: no.",
      "Claim true: yes; x possible: no; x unique most probable: yes; next result guaranteed x: yes.",
      "Claim true: yes; x possible: no; x unique most probable: yes; next result guaranteed x: no.",
      "Claim true: yes; x possible: no; x unique most probable: no; next result guaranteed x: yes.",
      "Claim true: yes; x possible: no; x unique most probable: no; next result guaranteed x: no.",
      "Claim true: no; x possible: yes; x unique most probable: yes; next result guaranteed x: yes.",
      "Claim true: no; x possible: yes; x unique most probable: yes; next result guaranteed x: no.",
      "Claim true: no; x possible: yes; x unique most probable: no; next result guaranteed x: yes.",
      "Claim true: no; x possible: yes; x unique most probable: no; next result guaranteed x: no.",
      "Claim true: no; x possible: no; x unique most probable: yes; next result guaranteed x: yes.",
      "Claim true: no; x possible: no; x unique most probable: yes; next result guaranteed x: no.",
      "Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: yes.",
      "Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: no."
    ],
    "answer": "Claim true: yes; x possible: yes; x unique most probable: yes; next result guaranteed x: no.",
    "settlement_stratum": "likeliest-outcome",
    "domain": "queue delay",
    "boundary": "mode-below-half",
    "variant": 2,
    "oracle": {
      "mean": "41/10",
      "modes": [
        "2"
      ],
      "value": "2",
      "flags": [
        true,
        true,
        true,
        false
      ],
      "masses": {
        "2": "2/5",
        "4": "3/10",
        "7": "3/10"
      }
    }
  },
  {
    "id": "outcome-careful-outcome-full-147",
    "english": "Shared definition supplied once for this stateless question: x is mean-outcome(D) asserts that x equals the probability-weighted arithmetic mean under D. x is likeliest-outcome(D) asserts that x has the highest aggregated outcome mass under D, with ties allowed. These definitions also govern the corresponding English phrases. They do not guarantee a trial result or certify the model. Fictional queue delay model D568, version v3 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive, exact rational masses, not rounded observations: value 3 units with mass 2/5; value 5 units with mass 3/10; value 8 units with mass 3/10. Add masses of paths with the same value. Mean is the probability-weighted arithmetic mean; most probable compares aggregated value masses and allows ties. Here x = 4 units. No claim that the model is correct or guarantees a trial is supplied. Statement: Under D568, 4 units has the highest outcome probability, ties allowed.",
    "ainglish": "Shared definition supplied once for this stateless question: x is mean-outcome(D) asserts that x equals the probability-weighted arithmetic mean under D. x is likeliest-outcome(D) asserts that x has the highest aggregated outcome mass under D, with ties allowed. These definitions also govern the corresponding English phrases. They do not guarantee a trial result or certify the model. Fictional queue delay model D568, version v3 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive, exact rational masses, not rounded observations: value 3 units with mass 2/5; value 5 units with mass 3/10; value 8 units with mass 3/10. Add masses of paths with the same value. Mean is the probability-weighted arithmetic mean; most probable compares aggregated value masses and allows ties. Here x = 4 units. No claim that the model is correct or guarantees a trial is supplied. Statement: 4 units is likeliest-outcome(D568).",
    "question": "Evaluate the claim, whether x can actually occur, whether x alone is most probable, and whether the next result is guaranteed to equal x.",
    "options": [
      "Claim true: yes; x possible: yes; x unique most probable: yes; next result guaranteed x: yes.",
      "Claim true: yes; x possible: yes; x unique most probable: yes; next result guaranteed x: no.",
      "Claim true: yes; x possible: yes; x unique most probable: no; next result guaranteed x: yes.",
      "Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: no.",
      "Claim true: yes; x possible: yes; x unique most probable: no; next result guaranteed x: no.",
      "Claim true: yes; x possible: no; x unique most probable: yes; next result guaranteed x: yes.",
      "Claim true: yes; x possible: no; x unique most probable: yes; next result guaranteed x: no.",
      "Claim true: yes; x possible: no; x unique most probable: no; next result guaranteed x: yes.",
      "Claim true: yes; x possible: no; x unique most probable: no; next result guaranteed x: no.",
      "Claim true: no; x possible: yes; x unique most probable: yes; next result guaranteed x: yes.",
      "Claim true: no; x possible: yes; x unique most probable: yes; next result guaranteed x: no.",
      "Claim true: no; x possible: yes; x unique most probable: no; next result guaranteed x: yes.",
      "Claim true: no; x possible: yes; x unique most probable: no; next result guaranteed x: no.",
      "Claim true: no; x possible: no; x unique most probable: yes; next result guaranteed x: yes.",
      "Claim true: no; x possible: no; x unique most probable: yes; next result guaranteed x: no.",
      "Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: yes."
    ],
    "answer": "Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: no.",
    "settlement_stratum": "likeliest-outcome",
    "domain": "queue delay",
    "boundary": "mode-below-half",
    "variant": 3,
    "oracle": {
      "mean": "51/10",
      "modes": [
        "3"
      ],
      "value": "4",
      "flags": [
        false,
        false,
        false,
        false
      ],
      "masses": {
        "3": "2/5",
        "5": "3/10",
        "8": "3/10"
      }
    }
  },
  {
    "id": "outcome-careful-outcome-full-148",
    "english": "Shared definition supplied once for this stateless question: x is mean-outcome(D) asserts that x equals the probability-weighted arithmetic mean under D. x is likeliest-outcome(D) asserts that x has the highest aggregated outcome mass under D, with ties allowed. These definitions also govern the corresponding English phrases. They do not guarantee a trial result or certify the model. Fictional queue delay model D569, version v3 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive, exact rational masses, not rounded observations: value 1 units with mass 2/5; value 3 units with mass 2/5; value 7 units with mass 1/5. Add masses of paths with the same value. Mean is the probability-weighted arithmetic mean; most probable compares aggregated value masses and allows ties. Here x = 1 units. No claim that the model is correct or guarantees a trial is supplied. Statement: Under D569, 1 units has the highest outcome probability, ties allowed.",
    "ainglish": "Shared definition supplied once for this stateless question: x is mean-outcome(D) asserts that x equals the probability-weighted arithmetic mean under D. x is likeliest-outcome(D) asserts that x has the highest aggregated outcome mass under D, with ties allowed. These definitions also govern the corresponding English phrases. They do not guarantee a trial result or certify the model. Fictional queue delay model D569, version v3 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive, exact rational masses, not rounded observations: value 1 units with mass 2/5; value 3 units with mass 2/5; value 7 units with mass 1/5. Add masses of paths with the same value. Mean is the probability-weighted arithmetic mean; most probable compares aggregated value masses and allows ties. Here x = 1 units. No claim that the model is correct or guarantees a trial is supplied. Statement: 1 units is likeliest-outcome(D569).",
    "question": "Evaluate the claim, whether x can actually occur, whether x alone is most probable, and whether the next result is guaranteed to equal x.",
    "options": [
      "Claim true: yes; x possible: yes; x unique most probable: yes; next result guaranteed x: yes.",
      "Claim true: yes; x possible: yes; x unique most probable: yes; next result guaranteed x: no.",
      "Claim true: yes; x possible: yes; x unique most probable: no; next result guaranteed x: yes.",
      "Claim true: yes; x possible: no; x unique most probable: yes; next result guaranteed x: yes.",
      "Claim true: yes; x possible: yes; x unique most probable: no; next result guaranteed x: no.",
      "Claim true: yes; x possible: no; x unique most probable: yes; next result guaranteed x: no.",
      "Claim true: yes; x possible: no; x unique most probable: no; next result guaranteed x: yes.",
      "Claim true: yes; x possible: no; x unique most probable: no; next result guaranteed x: no.",
      "Claim true: no; x possible: yes; x unique most probable: yes; next result guaranteed x: yes.",
      "Claim true: no; x possible: yes; x unique most probable: yes; next result guaranteed x: no.",
      "Claim true: no; x possible: yes; x unique most probable: no; next result guaranteed x: yes.",
      "Claim true: no; x possible: yes; x unique most probable: no; next result guaranteed x: no.",
      "Claim true: no; x possible: no; x unique most probable: yes; next result guaranteed x: yes.",
      "Claim true: no; x possible: no; x unique most probable: yes; next result guaranteed x: no.",
      "Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: yes.",
      "Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: no."
    ],
    "answer": "Claim true: yes; x possible: yes; x unique most probable: no; next result guaranteed x: no.",
    "settlement_stratum": "likeliest-outcome",
    "domain": "queue delay",
    "boundary": "tied-modes",
    "variant": 0,
    "oracle": {
      "mean": "3",
      "modes": [
        "1",
        "3"
      ],
      "value": "1",
      "flags": [
        true,
        true,
        false,
        false
      ],
      "masses": {
        "1": "2/5",
        "3": "2/5",
        "7": "1/5"
      }
    }
  },
  {
    "id": "outcome-careful-outcome-full-149",
    "english": "Shared definition supplied once for this stateless question: x is mean-outcome(D) asserts that x equals the probability-weighted arithmetic mean under D. x is likeliest-outcome(D) asserts that x has the highest aggregated outcome mass under D, with ties allowed. These definitions also govern the corresponding English phrases. They do not guarantee a trial result or certify the model. Fictional queue delay model D570, version v3 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive, exact rational masses, not rounded observations: value 2 units with mass 2/5; value 4 units with mass 2/5; value 8 units with mass 1/5. Add masses of paths with the same value. Mean is the probability-weighted arithmetic mean; most probable compares aggregated value masses and allows ties. Here x = 3 units. No claim that the model is correct or guarantees a trial is supplied. Statement: Under D570, 3 units has the highest outcome probability, ties allowed.",
    "ainglish": "Shared definition supplied once for this stateless question: x is mean-outcome(D) asserts that x equals the probability-weighted arithmetic mean under D. x is likeliest-outcome(D) asserts that x has the highest aggregated outcome mass under D, with ties allowed. These definitions also govern the corresponding English phrases. They do not guarantee a trial result or certify the model. Fictional queue delay model D570, version v3 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive, exact rational masses, not rounded observations: value 2 units with mass 2/5; value 4 units with mass 2/5; value 8 units with mass 1/5. Add masses of paths with the same value. Mean is the probability-weighted arithmetic mean; most probable compares aggregated value masses and allows ties. Here x = 3 units. No claim that the model is correct or guarantees a trial is supplied. Statement: 3 units is likeliest-outcome(D570).",
    "question": "Evaluate the claim, whether x can actually occur, whether x alone is most probable, and whether the next result is guaranteed to equal x.",
    "options": [
      "Claim true: yes; x possible: yes; x unique most probable: yes; next result guaranteed x: yes.",
      "Claim true: yes; x possible: yes; x unique most probable: yes; next result guaranteed x: no.",
      "Claim true: yes; x possible: yes; x unique most probable: no; next result guaranteed x: yes.",
      "Claim true: yes; x possible: yes; x unique most probable: no; next result guaranteed x: no.",
      "Claim true: yes; x possible: no; x unique most probable: yes; next result guaranteed x: yes.",
      "Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: no.",
      "Claim true: yes; x possible: no; x unique most probable: yes; next result guaranteed x: no.",
      "Claim true: yes; x possible: no; x unique most probable: no; next result guaranteed x: yes.",
      "Claim true: yes; x possible: no; x unique most probable: no; next result guaranteed x: no.",
      "Claim true: no; x possible: yes; x unique most probable: yes; next result guaranteed x: yes.",
      "Claim true: no; x possible: yes; x unique most probable: yes; next result guaranteed x: no.",
      "Claim true: no; x possible: yes; x unique most probable: no; next result guaranteed x: yes.",
      "Claim true: no; x possible: yes; x unique most probable: no; next result guaranteed x: no.",
      "Claim true: no; x possible: no; x unique most probable: yes; next result guaranteed x: yes.",
      "Claim true: no; x possible: no; x unique most probable: yes; next result guaranteed x: no.",
      "Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: yes."
    ],
    "answer": "Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: no.",
    "settlement_stratum": "likeliest-outcome",
    "domain": "queue delay",
    "boundary": "tied-modes",
    "variant": 1,
    "oracle": {
      "mean": "4",
      "modes": [
        "2",
        "4"
      ],
      "value": "3",
      "flags": [
        false,
        false,
        false,
        false
      ],
      "masses": {
        "2": "2/5",
        "4": "2/5",
        "8": "1/5"
      }
    }
  },
  {
    "id": "outcome-careful-outcome-full-150",
    "english": "Shared definition supplied once for this stateless question: x is mean-outcome(D) asserts that x equals the probability-weighted arithmetic mean under D. x is likeliest-outcome(D) asserts that x has the highest aggregated outcome mass under D, with ties allowed. These definitions also govern the corresponding English phrases. They do not guarantee a trial result or certify the model. Fictional queue delay model D571, version v3 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive, exact rational masses, not rounded observations: value 3 units with mass 2/5; value 5 units with mass 2/5; value 9 units with mass 1/5. Add masses of paths with the same value. Mean is the probability-weighted arithmetic mean; most probable compares aggregated value masses and allows ties. Here x = 3 units. No claim that the model is correct or guarantees a trial is supplied. Statement: Under D571, 3 units has the highest outcome probability, ties allowed.",
    "ainglish": "Shared definition supplied once for this stateless question: x is mean-outcome(D) asserts that x equals the probability-weighted arithmetic mean under D. x is likeliest-outcome(D) asserts that x has the highest aggregated outcome mass under D, with ties allowed. These definitions also govern the corresponding English phrases. They do not guarantee a trial result or certify the model. Fictional queue delay model D571, version v3 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive, exact rational masses, not rounded observations: value 3 units with mass 2/5; value 5 units with mass 2/5; value 9 units with mass 1/5. Add masses of paths with the same value. Mean is the probability-weighted arithmetic mean; most probable compares aggregated value masses and allows ties. Here x = 3 units. No claim that the model is correct or guarantees a trial is supplied. Statement: 3 units is likeliest-outcome(D571).",
    "question": "Evaluate the claim, whether x can actually occur, whether x alone is most probable, and whether the next result is guaranteed to equal x.",
    "options": [
      "Claim true: yes; x possible: yes; x unique most probable: yes; next result guaranteed x: yes.",
      "Claim true: yes; x possible: yes; x unique most probable: yes; next result guaranteed x: no.",
      "Claim true: yes; x possible: yes; x unique most probable: no; next result guaranteed x: yes.",
      "Claim true: yes; x possible: no; x unique most probable: yes; next result guaranteed x: yes.",
      "Claim true: yes; x possible: no; x unique most probable: yes; next result guaranteed x: no.",
      "Claim true: yes; x possible: no; x unique most probable: no; next result guaranteed x: yes.",
      "Claim true: yes; x possible: yes; x unique most probable: no; next result guaranteed x: no.",
      "Claim true: yes; x possible: no; x unique most probable: no; next result guaranteed x: no.",
      "Claim true: no; x possible: yes; x unique most probable: yes; next result guaranteed x: yes.",
      "Claim true: no; x possible: yes; x unique most probable: yes; next result guaranteed x: no.",
      "Claim true: no; x possible: yes; x unique most probable: no; next result guaranteed x: yes.",
      "Claim true: no; x possible: yes; x unique most probable: no; next result guaranteed x: no.",
      "Claim true: no; x possible: no; x unique most probable: yes; next result guaranteed x: yes.",
      "Claim true: no; x possible: no; x unique most probable: yes; next result guaranteed x: no.",
      "Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: yes.",
      "Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: no."
    ],
    "answer": "Claim true: yes; x possible: yes; x unique most probable: no; next result guaranteed x: no.",
    "settlement_stratum": "likeliest-outcome",
    "domain": "queue delay",
    "boundary": "tied-modes",
    "variant": 2,
    "oracle": {
      "mean": "5",
      "modes": [
        "3",
        "5"
      ],
      "value": "3",
      "flags": [
        true,
        true,
        false,
        false
      ],
      "masses": {
        "3": "2/5",
        "5": "2/5",
        "9": "1/5"
      }
    }
  },
  {
    "id": "outcome-careful-outcome-full-151",
    "english": "Shared definition supplied once for this stateless question: x is mean-outcome(D) asserts that x equals the probability-weighted arithmetic mean under D. x is likeliest-outcome(D) asserts that x has the highest aggregated outcome mass under D, with ties allowed. These definitions also govern the corresponding English phrases. They do not guarantee a trial result or certify the model. Fictional queue delay model D572, version v3 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive, exact rational masses, not rounded observations: value 4 units with mass 2/5; value 6 units with mass 2/5; value 10 units with mass 1/5. Add masses of paths with the same value. Mean is the probability-weighted arithmetic mean; most probable compares aggregated value masses and allows ties. Here x = 5 units. No claim that the model is correct or guarantees a trial is supplied. Statement: Under D572, 5 units has the highest outcome probability, ties allowed.",
    "ainglish": "Shared definition supplied once for this stateless question: x is mean-outcome(D) asserts that x equals the probability-weighted arithmetic mean under D. x is likeliest-outcome(D) asserts that x has the highest aggregated outcome mass under D, with ties allowed. These definitions also govern the corresponding English phrases. They do not guarantee a trial result or certify the model. Fictional queue delay model D572, version v3 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive, exact rational masses, not rounded observations: value 4 units with mass 2/5; value 6 units with mass 2/5; value 10 units with mass 1/5. Add masses of paths with the same value. Mean is the probability-weighted arithmetic mean; most probable compares aggregated value masses and allows ties. Here x = 5 units. No claim that the model is correct or guarantees a trial is supplied. Statement: 5 units is likeliest-outcome(D572).",
    "question": "Evaluate the claim, whether x can actually occur, whether x alone is most probable, and whether the next result is guaranteed to equal x.",
    "options": [
      "Claim true: yes; x possible: yes; x unique most probable: yes; next result guaranteed x: yes.",
      "Claim true: yes; x possible: yes; x unique most probable: yes; next result guaranteed x: no.",
      "Claim true: yes; x possible: yes; x unique most probable: no; next result guaranteed x: yes.",
      "Claim true: yes; x possible: yes; x unique most probable: no; next result guaranteed x: no.",
      "Claim true: yes; x possible: no; x unique most probable: yes; next result guaranteed x: yes.",
      "Claim true: yes; x possible: no; x unique most probable: yes; next result guaranteed x: no.",
      "Claim true: yes; x possible: no; x unique most probable: no; next result guaranteed x: yes.",
      "Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: no.",
      "Claim true: yes; x possible: no; x unique most probable: no; next result guaranteed x: no.",
      "Claim true: no; x possible: yes; x unique most probable: yes; next result guaranteed x: yes.",
      "Claim true: no; x possible: yes; x unique most probable: yes; next result guaranteed x: no.",
      "Claim true: no; x possible: yes; x unique most probable: no; next result guaranteed x: yes.",
      "Claim true: no; x possible: yes; x unique most probable: no; next result guaranteed x: no.",
      "Claim true: no; x possible: no; x unique most probable: yes; next result guaranteed x: yes.",
      "Claim true: no; x possible: no; x unique most probable: yes; next result guaranteed x: no.",
      "Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: yes."
    ],
    "answer": "Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: no.",
    "settlement_stratum": "likeliest-outcome",
    "domain": "queue delay",
    "boundary": "tied-modes",
    "variant": 3,
    "oracle": {
      "mean": "6",
      "modes": [
        "4",
        "6"
      ],
      "value": "5",
      "flags": [
        false,
        false,
        false,
        false
      ],
      "masses": {
        "4": "2/5",
        "6": "2/5",
        "10": "1/5"
      }
    }
  },
  {
    "id": "outcome-careful-outcome-full-152",
    "english": "Shared definition supplied once for this stateless question: x is mean-outcome(D) asserts that x equals the probability-weighted arithmetic mean under D. x is likeliest-outcome(D) asserts that x has the highest aggregated outcome mass under D, with ties allowed. These definitions also govern the corresponding English phrases. They do not guarantee a trial result or certify the model. Fictional queue delay model D573, version v3 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive, exact rational masses, not rounded observations: value 0 units with mass 1/4; value 2 units with mass 1/2; value 4 units with mass 1/4. Add masses of paths with the same value. Mean is the probability-weighted arithmetic mean; most probable compares aggregated value masses and allows ties. Here x = 2 units. No claim that the model is correct or guarantees a trial is supplied. Statement: Under D573, 2 units has the highest outcome probability, ties allowed.",
    "ainglish": "Shared definition supplied once for this stateless question: x is mean-outcome(D) asserts that x equals the probability-weighted arithmetic mean under D. x is likeliest-outcome(D) asserts that x has the highest aggregated outcome mass under D, with ties allowed. These definitions also govern the corresponding English phrases. They do not guarantee a trial result or certify the model. Fictional queue delay model D573, version v3 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive, exact rational masses, not rounded observations: value 0 units with mass 1/4; value 2 units with mass 1/2; value 4 units with mass 1/4. Add masses of paths with the same value. Mean is the probability-weighted arithmetic mean; most probable compares aggregated value masses and allows ties. Here x = 2 units. No claim that the model is correct or guarantees a trial is supplied. Statement: 2 units is likeliest-outcome(D573).",
    "question": "Evaluate the claim, whether x can actually occur, whether x alone is most probable, and whether the next result is guaranteed to equal x.",
    "options": [
      "Claim true: yes; x possible: yes; x unique most probable: yes; next result guaranteed x: yes.",
      "Claim true: yes; x possible: yes; x unique most probable: no; next result guaranteed x: yes.",
      "Claim true: yes; x possible: yes; x unique most probable: no; next result guaranteed x: no.",
      "Claim true: yes; x possible: no; x unique most probable: yes; next result guaranteed x: yes.",
      "Claim true: yes; x possible: no; x unique most probable: yes; next result guaranteed x: no.",
      "Claim true: yes; x possible: no; x unique most probable: no; next result guaranteed x: yes.",
      "Claim true: yes; x possible: no; x unique most probable: no; next result guaranteed x: no.",
      "Claim true: no; x possible: yes; x unique most probable: yes; next result guaranteed x: yes.",
      "Claim true: yes; x possible: yes; x unique most probable: yes; next result guaranteed x: no.",
      "Claim true: no; x possible: yes; x unique most probable: yes; next result guaranteed x: no.",
      "Claim true: no; x possible: yes; x unique most probable: no; next result guaranteed x: yes.",
      "Claim true: no; x possible: yes; x unique most probable: no; next result guaranteed x: no.",
      "Claim true: no; x possible: no; x unique most probable: yes; next result guaranteed x: yes.",
      "Claim true: no; x possible: no; x unique most probable: yes; next result guaranteed x: no.",
      "Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: yes.",
      "Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: no."
    ],
    "answer": "Claim true: yes; x possible: yes; x unique most probable: yes; next result guaranteed x: no.",
    "settlement_stratum": "likeliest-outcome",
    "domain": "queue delay",
    "boundary": "mean-is-mode",
    "variant": 0,
    "oracle": {
      "mean": "2",
      "modes": [
        "2"
      ],
      "value": "2",
      "flags": [
        true,
        true,
        true,
        false
      ],
      "masses": {
        "0": "1/4",
        "2": "1/2",
        "4": "1/4"
      }
    }
  },
  {
    "id": "outcome-careful-outcome-full-153",
    "english": "Shared definition supplied once for this stateless question: x is mean-outcome(D) asserts that x equals the probability-weighted arithmetic mean under D. x is likeliest-outcome(D) asserts that x has the highest aggregated outcome mass under D, with ties allowed. These definitions also govern the corresponding English phrases. They do not guarantee a trial result or certify the model. Fictional queue delay model D574, version v3 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive, exact rational masses, not rounded observations: value 1 units with mass 1/4; value 3 units with mass 1/2; value 5 units with mass 1/4. Add masses of paths with the same value. Mean is the probability-weighted arithmetic mean; most probable compares aggregated value masses and allows ties. Here x = 4 units. No claim that the model is correct or guarantees a trial is supplied. Statement: Under D574, 4 units has the highest outcome probability, ties allowed.",
    "ainglish": "Shared definition supplied once for this stateless question: x is mean-outcome(D) asserts that x equals the probability-weighted arithmetic mean under D. x is likeliest-outcome(D) asserts that x has the highest aggregated outcome mass under D, with ties allowed. These definitions also govern the corresponding English phrases. They do not guarantee a trial result or certify the model. Fictional queue delay model D574, version v3 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive, exact rational masses, not rounded observations: value 1 units with mass 1/4; value 3 units with mass 1/2; value 5 units with mass 1/4. Add masses of paths with the same value. Mean is the probability-weighted arithmetic mean; most probable compares aggregated value masses and allows ties. Here x = 4 units. No claim that the model is correct or guarantees a trial is supplied. Statement: 4 units is likeliest-outcome(D574).",
    "question": "Evaluate the claim, whether x can actually occur, whether x alone is most probable, and whether the next result is guaranteed to equal x.",
    "options": [
      "Claim true: yes; x possible: yes; x unique most probable: yes; next result guaranteed x: yes.",
      "Claim true: yes; x possible: yes; x unique most probable: yes; next result guaranteed x: no.",
      "Claim true: yes; x possible: yes; x unique most probable: no; next result guaranteed x: yes.",
      "Claim true: yes; x possible: yes; x unique most probable: no; next result guaranteed x: no.",
      "Claim true: yes; x possible: no; x unique most probable: yes; next result guaranteed x: yes.",
      "Claim true: yes; x possible: no; x unique most probable: yes; next result guaranteed x: no.",
      "Claim true: yes; x possible: no; x unique most probable: no; next result guaranteed x: yes.",
      "Claim true: yes; x possible: no; x unique most probable: no; next result guaranteed x: no.",
      "Claim true: no; x possible: yes; x unique most probable: yes; next result guaranteed x: yes.",
      "Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: no.",
      "Claim true: no; x possible: yes; x unique most probable: yes; next result guaranteed x: no.",
      "Claim true: no; x possible: yes; x unique most probable: no; next result guaranteed x: yes.",
      "Claim true: no; x possible: yes; x unique most probable: no; next result guaranteed x: no.",
      "Claim true: no; x possible: no; x unique most probable: yes; next result guaranteed x: yes.",
      "Claim true: no; x possible: no; x unique most probable: yes; next result guaranteed x: no.",
      "Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: yes."
    ],
    "answer": "Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: no.",
    "settlement_stratum": "likeliest-outcome",
    "domain": "queue delay",
    "boundary": "mean-is-mode",
    "variant": 1,
    "oracle": {
      "mean": "3",
      "modes": [
        "3"
      ],
      "value": "4",
      "flags": [
        false,
        false,
        false,
        false
      ],
      "masses": {
        "1": "1/4",
        "3": "1/2",
        "5": "1/4"
      }
    }
  },
  {
    "id": "outcome-careful-outcome-full-154",
    "english": "Shared definition supplied once for this stateless question: x is mean-outcome(D) asserts that x equals the probability-weighted arithmetic mean under D. x is likeliest-outcome(D) asserts that x has the highest aggregated outcome mass under D, with ties allowed. These definitions also govern the corresponding English phrases. They do not guarantee a trial result or certify the model. Fictional queue delay model D575, version v3 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive, exact rational masses, not rounded observations: value 2 units with mass 1/4; value 4 units with mass 1/2; value 6 units with mass 1/4. Add masses of paths with the same value. Mean is the probability-weighted arithmetic mean; most probable compares aggregated value masses and allows ties. Here x = 4 units. No claim that the model is correct or guarantees a trial is supplied. Statement: Under D575, 4 units has the highest outcome probability, ties allowed.",
    "ainglish": "Shared definition supplied once for this stateless question: x is mean-outcome(D) asserts that x equals the probability-weighted arithmetic mean under D. x is likeliest-outcome(D) asserts that x has the highest aggregated outcome mass under D, with ties allowed. These definitions also govern the corresponding English phrases. They do not guarantee a trial result or certify the model. Fictional queue delay model D575, version v3 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive, exact rational masses, not rounded observations: value 2 units with mass 1/4; value 4 units with mass 1/2; value 6 units with mass 1/4. Add masses of paths with the same value. Mean is the probability-weighted arithmetic mean; most probable compares aggregated value masses and allows ties. Here x = 4 units. No claim that the model is correct or guarantees a trial is supplied. Statement: 4 units is likeliest-outcome(D575).",
    "question": "Evaluate the claim, whether x can actually occur, whether x alone is most probable, and whether the next result is guaranteed to equal x.",
    "options": [
      "Claim true: yes; x possible: yes; x unique most probable: yes; next result guaranteed x: yes.",
      "Claim true: yes; x possible: yes; x unique most probable: no; next result guaranteed x: yes.",
      "Claim true: yes; x possible: yes; x unique most probable: no; next result guaranteed x: no.",
      "Claim true: yes; x possible: no; x unique most probable: yes; next result guaranteed x: yes.",
      "Claim true: yes; x possible: no; x unique most probable: yes; next result guaranteed x: no.",
      "Claim true: yes; x possible: no; x unique most probable: no; next result guaranteed x: yes.",
      "Claim true: yes; x possible: no; x unique most probable: no; next result guaranteed x: no.",
      "Claim true: no; x possible: yes; x unique most probable: yes; next result guaranteed x: yes.",
      "Claim true: no; x possible: yes; x unique most probable: yes; next result guaranteed x: no.",
      "Claim true: no; x possible: yes; x unique most probable: no; next result guaranteed x: yes.",
      "Claim true: yes; x possible: yes; x unique most probable: yes; next result guaranteed x: no.",
      "Claim true: no; x possible: yes; x unique most probable: no; next result guaranteed x: no.",
      "Claim true: no; x possible: no; x unique most probable: yes; next result guaranteed x: yes.",
      "Claim true: no; x possible: no; x unique most probable: yes; next result guaranteed x: no.",
      "Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: yes.",
      "Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: no."
    ],
    "answer": "Claim true: yes; x possible: yes; x unique most probable: yes; next result guaranteed x: no.",
    "settlement_stratum": "likeliest-outcome",
    "domain": "queue delay",
    "boundary": "mean-is-mode",
    "variant": 2,
    "oracle": {
      "mean": "4",
      "modes": [
        "4"
      ],
      "value": "4",
      "flags": [
        true,
        true,
        true,
        false
      ],
      "masses": {
        "2": "1/4",
        "4": "1/2",
        "6": "1/4"
      }
    }
  },
  {
    "id": "outcome-careful-outcome-full-155",
    "english": "Shared definition supplied once for this stateless question: x is mean-outcome(D) asserts that x equals the probability-weighted arithmetic mean under D. x is likeliest-outcome(D) asserts that x has the highest aggregated outcome mass under D, with ties allowed. These definitions also govern the corresponding English phrases. They do not guarantee a trial result or certify the model. Fictional queue delay model D576, version v3 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive, exact rational masses, not rounded observations: value 3 units with mass 1/4; value 5 units with mass 1/2; value 7 units with mass 1/4. Add masses of paths with the same value. Mean is the probability-weighted arithmetic mean; most probable compares aggregated value masses and allows ties. Here x = 6 units. No claim that the model is correct or guarantees a trial is supplied. Statement: Under D576, 6 units has the highest outcome probability, ties allowed.",
    "ainglish": "Shared definition supplied once for this stateless question: x is mean-outcome(D) asserts that x equals the probability-weighted arithmetic mean under D. x is likeliest-outcome(D) asserts that x has the highest aggregated outcome mass under D, with ties allowed. These definitions also govern the corresponding English phrases. They do not guarantee a trial result or certify the model. Fictional queue delay model D576, version v3 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive, exact rational masses, not rounded observations: value 3 units with mass 1/4; value 5 units with mass 1/2; value 7 units with mass 1/4. Add masses of paths with the same value. Mean is the probability-weighted arithmetic mean; most probable compares aggregated value masses and allows ties. Here x = 6 units. No claim that the model is correct or guarantees a trial is supplied. Statement: 6 units is likeliest-outcome(D576).",
    "question": "Evaluate the claim, whether x can actually occur, whether x alone is most probable, and whether the next result is guaranteed to equal x.",
    "options": [
      "Claim true: yes; x possible: yes; x unique most probable: yes; next result guaranteed x: yes.",
      "Claim true: yes; x possible: yes; x unique most probable: yes; next result guaranteed x: no.",
      "Claim true: yes; x possible: yes; x unique most probable: no; next result guaranteed x: yes.",
      "Claim true: yes; x possible: yes; x unique most probable: no; next result guaranteed x: no.",
      "Claim true: yes; x possible: no; x unique most probable: yes; next result guaranteed x: yes.",
      "Claim true: yes; x possible: no; x unique most probable: yes; next result guaranteed x: no.",
      "Claim true: yes; x possible: no; x unique most probable: no; next result guaranteed x: yes.",
      "Claim true: yes; x possible: no; x unique most probable: no; next result guaranteed x: no.",
      "Claim true: no; x possible: yes; x unique most probable: yes; next result guaranteed x: yes.",
      "Claim true: no; x possible: yes; x unique most probable: yes; next result guaranteed x: no.",
      "Claim true: no; x possible: yes; x unique most probable: no; next result guaranteed x: yes.",
      "Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: no.",
      "Claim true: no; x possible: yes; x unique most probable: no; next result guaranteed x: no.",
      "Claim true: no; x possible: no; x unique most probable: yes; next result guaranteed x: yes.",
      "Claim true: no; x possible: no; x unique most probable: yes; next result guaranteed x: no.",
      "Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: yes."
    ],
    "answer": "Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: no.",
    "settlement_stratum": "likeliest-outcome",
    "domain": "queue delay",
    "boundary": "mean-is-mode",
    "variant": 3,
    "oracle": {
      "mean": "5",
      "modes": [
        "5"
      ],
      "value": "6",
      "flags": [
        false,
        false,
        false,
        false
      ],
      "masses": {
        "3": "1/4",
        "5": "1/2",
        "7": "1/4"
      }
    }
  },
  {
    "id": "outcome-careful-outcome-full-156",
    "english": "Shared definition supplied once for this stateless question: x is mean-outcome(D) asserts that x equals the probability-weighted arithmetic mean under D. x is likeliest-outcome(D) asserts that x has the highest aggregated outcome mass under D, with ties allowed. These definitions also govern the corresponding English phrases. They do not guarantee a trial result or certify the model. Fictional queue delay model D577, version v3 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive, exact rational masses, not rounded observations: value 0 units with mass 1/5; value 4 units with mass 3/10; value 4 units with mass 3/10; value 8 units with mass 1/5. Add masses of paths with the same value. Mean is the probability-weighted arithmetic mean; most probable compares aggregated value masses and allows ties. Here x = 4 units. No claim that the model is correct or guarantees a trial is supplied. Statement: Under D577, 4 units has the highest outcome probability, ties allowed.",
    "ainglish": "Shared definition supplied once for this stateless question: x is mean-outcome(D) asserts that x equals the probability-weighted arithmetic mean under D. x is likeliest-outcome(D) asserts that x has the highest aggregated outcome mass under D, with ties allowed. These definitions also govern the corresponding English phrases. They do not guarantee a trial result or certify the model. Fictional queue delay model D577, version v3 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive, exact rational masses, not rounded observations: value 0 units with mass 1/5; value 4 units with mass 3/10; value 4 units with mass 3/10; value 8 units with mass 1/5. Add masses of paths with the same value. Mean is the probability-weighted arithmetic mean; most probable compares aggregated value masses and allows ties. Here x = 4 units. No claim that the model is correct or guarantees a trial is supplied. Statement: 4 units is likeliest-outcome(D577).",
    "question": "Evaluate the claim, whether x can actually occur, whether x alone is most probable, and whether the next result is guaranteed to equal x.",
    "options": [
      "Claim true: yes; x possible: yes; x unique most probable: yes; next result guaranteed x: yes.",
      "Claim true: yes; x possible: yes; x unique most probable: no; next result guaranteed x: yes.",
      "Claim true: yes; x possible: yes; x unique most probable: no; next result guaranteed x: no.",
      "Claim true: yes; x possible: no; x unique most probable: yes; next result guaranteed x: yes.",
      "Claim true: yes; x possible: no; x unique most probable: yes; next result guaranteed x: no.",
      "Claim true: yes; x possible: no; x unique most probable: no; next result guaranteed x: yes.",
      "Claim true: yes; x possible: no; x unique most probable: no; next result guaranteed x: no.",
      "Claim true: no; x possible: yes; x unique most probable: yes; next result guaranteed x: yes.",
      "Claim true: no; x possible: yes; x unique most probable: yes; next result guaranteed x: no.",
      "Claim true: no; x possible: yes; x unique most probable: no; next result guaranteed x: yes.",
      "Claim true: no; x possible: yes; x unique most probable: no; next result guaranteed x: no.",
      "Claim true: no; x possible: no; x unique most probable: yes; next result guaranteed x: yes.",
      "Claim true: yes; x possible: yes; x unique most probable: yes; next result guaranteed x: no.",
      "Claim true: no; x possible: no; x unique most probable: yes; next result guaranteed x: no.",
      "Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: yes.",
      "Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: no."
    ],
    "answer": "Claim true: yes; x possible: yes; x unique most probable: yes; next result guaranteed x: no.",
    "settlement_stratum": "likeliest-outcome",
    "domain": "queue delay",
    "boundary": "aggregate-paths",
    "variant": 0,
    "oracle": {
      "mean": "4",
      "modes": [
        "4"
      ],
      "value": "4",
      "flags": [
        true,
        true,
        true,
        false
      ],
      "masses": {
        "0": "1/5",
        "4": "3/5",
        "8": "1/5"
      }
    }
  },
  {
    "id": "outcome-careful-outcome-full-157",
    "english": "Shared definition supplied once for this stateless question: x is mean-outcome(D) asserts that x equals the probability-weighted arithmetic mean under D. x is likeliest-outcome(D) asserts that x has the highest aggregated outcome mass under D, with ties allowed. These definitions also govern the corresponding English phrases. They do not guarantee a trial result or certify the model. Fictional queue delay model D578, version v3 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive, exact rational masses, not rounded observations: value 1 units with mass 1/5; value 5 units with mass 3/10; value 5 units with mass 3/10; value 9 units with mass 1/5. Add masses of paths with the same value. Mean is the probability-weighted arithmetic mean; most probable compares aggregated value masses and allows ties. Here x = 6 units. No claim that the model is correct or guarantees a trial is supplied. Statement: Under D578, 6 units has the highest outcome probability, ties allowed.",
    "ainglish": "Shared definition supplied once for this stateless question: x is mean-outcome(D) asserts that x equals the probability-weighted arithmetic mean under D. x is likeliest-outcome(D) asserts that x has the highest aggregated outcome mass under D, with ties allowed. These definitions also govern the corresponding English phrases. They do not guarantee a trial result or certify the model. Fictional queue delay model D578, version v3 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive, exact rational masses, not rounded observations: value 1 units with mass 1/5; value 5 units with mass 3/10; value 5 units with mass 3/10; value 9 units with mass 1/5. Add masses of paths with the same value. Mean is the probability-weighted arithmetic mean; most probable compares aggregated value masses and allows ties. Here x = 6 units. No claim that the model is correct or guarantees a trial is supplied. Statement: 6 units is likeliest-outcome(D578).",
    "question": "Evaluate the claim, whether x can actually occur, whether x alone is most probable, and whether the next result is guaranteed to equal x.",
    "options": [
      "Claim true: yes; x possible: yes; x unique most probable: yes; next result guaranteed x: yes.",
      "Claim true: yes; x possible: yes; x unique most probable: yes; next result guaranteed x: no.",
      "Claim true: yes; x possible: yes; x unique most probable: no; next result guaranteed x: yes.",
      "Claim true: yes; x possible: yes; x unique most probable: no; next result guaranteed x: no.",
      "Claim true: yes; x possible: no; x unique most probable: yes; next result guaranteed x: yes.",
      "Claim true: yes; x possible: no; x unique most probable: yes; next result guaranteed x: no.",
      "Claim true: yes; x possible: no; x unique most probable: no; next result guaranteed x: yes.",
      "Claim true: yes; x possible: no; x unique most probable: no; next result guaranteed x: no.",
      "Claim true: no; x possible: yes; x unique most probable: yes; next result guaranteed x: yes.",
      "Claim true: no; x possible: yes; x unique most probable: yes; next result guaranteed x: no.",
      "Claim true: no; x possible: yes; x unique most probable: no; next result guaranteed x: yes.",
      "Claim true: no; x possible: yes; x unique most probable: no; next result guaranteed x: no.",
      "Claim true: no; x possible: no; x unique most probable: yes; next result guaranteed x: yes.",
      "Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: no.",
      "Claim true: no; x possible: no; x unique most probable: yes; next result guaranteed x: no.",
      "Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: yes."
    ],
    "answer": "Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: no.",
    "settlement_stratum": "likeliest-outcome",
    "domain": "queue delay",
    "boundary": "aggregate-paths",
    "variant": 1,
    "oracle": {
      "mean": "5",
      "modes": [
        "5"
      ],
      "value": "6",
      "flags": [
        false,
        false,
        false,
        false
      ],
      "masses": {
        "1": "1/5",
        "5": "3/5",
        "9": "1/5"
      }
    }
  },
  {
    "id": "outcome-careful-outcome-full-158",
    "english": "Shared definition supplied once for this stateless question: x is mean-outcome(D) asserts that x equals the probability-weighted arithmetic mean under D. x is likeliest-outcome(D) asserts that x has the highest aggregated outcome mass under D, with ties allowed. These definitions also govern the corresponding English phrases. They do not guarantee a trial result or certify the model. Fictional queue delay model D579, version v3 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive, exact rational masses, not rounded observations: value 2 units with mass 1/5; value 6 units with mass 3/10; value 6 units with mass 3/10; value 10 units with mass 1/5. Add masses of paths with the same value. Mean is the probability-weighted arithmetic mean; most probable compares aggregated value masses and allows ties. Here x = 6 units. No claim that the model is correct or guarantees a trial is supplied. Statement: Under D579, 6 units has the highest outcome probability, ties allowed.",
    "ainglish": "Shared definition supplied once for this stateless question: x is mean-outcome(D) asserts that x equals the probability-weighted arithmetic mean under D. x is likeliest-outcome(D) asserts that x has the highest aggregated outcome mass under D, with ties allowed. These definitions also govern the corresponding English phrases. They do not guarantee a trial result or certify the model. Fictional queue delay model D579, version v3 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive, exact rational masses, not rounded observations: value 2 units with mass 1/5; value 6 units with mass 3/10; value 6 units with mass 3/10; value 10 units with mass 1/5. Add masses of paths with the same value. Mean is the probability-weighted arithmetic mean; most probable compares aggregated value masses and allows ties. Here x = 6 units. No claim that the model is correct or guarantees a trial is supplied. Statement: 6 units is likeliest-outcome(D579).",
    "question": "Evaluate the claim, whether x can actually occur, whether x alone is most probable, and whether the next result is guaranteed to equal x.",
    "options": [
      "Claim true: yes; x possible: yes; x unique most probable: yes; next result guaranteed x: yes.",
      "Claim true: yes; x possible: yes; x unique most probable: no; next result guaranteed x: yes.",
      "Claim true: yes; x possible: yes; x unique most probable: no; next result guaranteed x: no.",
      "Claim true: yes; x possible: no; x unique most probable: yes; next result guaranteed x: yes.",
      "Claim true: yes; x possible: no; x unique most probable: yes; next result guaranteed x: no.",
      "Claim true: yes; x possible: no; x unique most probable: no; next result guaranteed x: yes.",
      "Claim true: yes; x possible: no; x unique most probable: no; next result guaranteed x: no.",
      "Claim true: no; x possible: yes; x unique most probable: yes; next result guaranteed x: yes.",
      "Claim true: no; x possible: yes; x unique most probable: yes; next result guaranteed x: no.",
      "Claim true: no; x possible: yes; x unique most probable: no; next result guaranteed x: yes.",
      "Claim true: no; x possible: yes; x unique most probable: no; next result guaranteed x: no.",
      "Claim true: no; x possible: no; x unique most probable: yes; next result guaranteed x: yes.",
      "Claim true: no; x possible: no; x unique most probable: yes; next result guaranteed x: no.",
      "Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: yes.",
      "Claim true: yes; x possible: yes; x unique most probable: yes; next result guaranteed x: no.",
      "Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: no."
    ],
    "answer": "Claim true: yes; x possible: yes; x unique most probable: yes; next result guaranteed x: no.",
    "settlement_stratum": "likeliest-outcome",
    "domain": "queue delay",
    "boundary": "aggregate-paths",
    "variant": 2,
    "oracle": {
      "mean": "6",
      "modes": [
        "6"
      ],
      "value": "6",
      "flags": [
        true,
        true,
        true,
        false
      ],
      "masses": {
        "2": "1/5",
        "6": "3/5",
        "10": "1/5"
      }
    }
  },
  {
    "id": "outcome-careful-outcome-full-159",
    "english": "Shared definition supplied once for this stateless question: x is mean-outcome(D) asserts that x equals the probability-weighted arithmetic mean under D. x is likeliest-outcome(D) asserts that x has the highest aggregated outcome mass under D, with ties allowed. These definitions also govern the corresponding English phrases. They do not guarantee a trial result or certify the model. Fictional queue delay model D580, version v3 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive, exact rational masses, not rounded observations: value 3 units with mass 1/5; value 7 units with mass 3/10; value 7 units with mass 3/10; value 11 units with mass 1/5. Add masses of paths with the same value. Mean is the probability-weighted arithmetic mean; most probable compares aggregated value masses and allows ties. Here x = 8 units. No claim that the model is correct or guarantees a trial is supplied. Statement: Under D580, 8 units has the highest outcome probability, ties allowed.",
    "ainglish": "Shared definition supplied once for this stateless question: x is mean-outcome(D) asserts that x equals the probability-weighted arithmetic mean under D. x is likeliest-outcome(D) asserts that x has the highest aggregated outcome mass under D, with ties allowed. These definitions also govern the corresponding English phrases. They do not guarantee a trial result or certify the model. Fictional queue delay model D580, version v3 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive, exact rational masses, not rounded observations: value 3 units with mass 1/5; value 7 units with mass 3/10; value 7 units with mass 3/10; value 11 units with mass 1/5. Add masses of paths with the same value. Mean is the probability-weighted arithmetic mean; most probable compares aggregated value masses and allows ties. Here x = 8 units. No claim that the model is correct or guarantees a trial is supplied. Statement: 8 units is likeliest-outcome(D580).",
    "question": "Evaluate the claim, whether x can actually occur, whether x alone is most probable, and whether the next result is guaranteed to equal x.",
    "options": [
      "Claim true: yes; x possible: yes; x unique most probable: yes; next result guaranteed x: yes.",
      "Claim true: yes; x possible: yes; x unique most probable: yes; next result guaranteed x: no.",
      "Claim true: yes; x possible: yes; x unique most probable: no; next result guaranteed x: yes.",
      "Claim true: yes; x possible: yes; x unique most probable: no; next result guaranteed x: no.",
      "Claim true: yes; x possible: no; x unique most probable: yes; next result guaranteed x: yes.",
      "Claim true: yes; x possible: no; x unique most probable: yes; next result guaranteed x: no.",
      "Claim true: yes; x possible: no; x unique most probable: no; next result guaranteed x: yes.",
      "Claim true: yes; x possible: no; x unique most probable: no; next result guaranteed x: no.",
      "Claim true: no; x possible: yes; x unique most probable: yes; next result guaranteed x: yes.",
      "Claim true: no; x possible: yes; x unique most probable: yes; next result guaranteed x: no.",
      "Claim true: no; x possible: yes; x unique most probable: no; next result guaranteed x: yes.",
      "Claim true: no; x possible: yes; x unique most probable: no; next result guaranteed x: no.",
      "Claim true: no; x possible: no; x unique most probable: yes; next result guaranteed x: yes.",
      "Claim true: no; x possible: no; x unique most probable: yes; next result guaranteed x: no.",
      "Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: yes.",
      "Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: no."
    ],
    "answer": "Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: no.",
    "settlement_stratum": "likeliest-outcome",
    "domain": "queue delay",
    "boundary": "aggregate-paths",
    "variant": 3,
    "oracle": {
      "mean": "7",
      "modes": [
        "7"
      ],
      "value": "8",
      "flags": [
        false,
        false,
        false,
        false
      ],
      "masses": {
        "3": "1/5",
        "7": "3/5",
        "11": "1/5"
      }
    }
  },
  {
    "id": "outcome-careful-outcome-full-160",
    "english": "Shared definition supplied once for this stateless question: x is mean-outcome(D) asserts that x equals the probability-weighted arithmetic mean under D. x is likeliest-outcome(D) asserts that x has the highest aggregated outcome mass under D, with ties allowed. These definitions also govern the corresponding English phrases. They do not guarantee a trial result or certify the model. Fictional retry count model D581, version v3 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive, exact rational masses, not rounded observations: value 0 units with mass 1/2; value 6 units with mass 1/2. Add masses of paths with the same value. Mean is the probability-weighted arithmetic mean; most probable compares aggregated value masses and allows ties. Here x = 0 units. No claim that the model is correct or guarantees a trial is supplied. Statement: Under D581, 0 units has the highest outcome probability, ties allowed.",
    "ainglish": "Shared definition supplied once for this stateless question: x is mean-outcome(D) asserts that x equals the probability-weighted arithmetic mean under D. x is likeliest-outcome(D) asserts that x has the highest aggregated outcome mass under D, with ties allowed. These definitions also govern the corresponding English phrases. They do not guarantee a trial result or certify the model. Fictional retry count model D581, version v3 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive, exact rational masses, not rounded observations: value 0 units with mass 1/2; value 6 units with mass 1/2. Add masses of paths with the same value. Mean is the probability-weighted arithmetic mean; most probable compares aggregated value masses and allows ties. Here x = 0 units. No claim that the model is correct or guarantees a trial is supplied. Statement: 0 units is likeliest-outcome(D581).",
    "question": "Evaluate the claim, whether x can actually occur, whether x alone is most probable, and whether the next result is guaranteed to equal x.",
    "options": [
      "Claim true: yes; x possible: yes; x unique most probable: no; next result guaranteed x: no.",
      "Claim true: yes; x possible: yes; x unique most probable: yes; next result guaranteed x: yes.",
      "Claim true: yes; x possible: yes; x unique most probable: yes; next result guaranteed x: no.",
      "Claim true: yes; x possible: yes; x unique most probable: no; next result guaranteed x: yes.",
      "Claim true: yes; x possible: no; x unique most probable: yes; next result guaranteed x: yes.",
      "Claim true: yes; x possible: no; x unique most probable: yes; next result guaranteed x: no.",
      "Claim true: yes; x possible: no; x unique most probable: no; next result guaranteed x: yes.",
      "Claim true: yes; x possible: no; x unique most probable: no; next result guaranteed x: no.",
      "Claim true: no; x possible: yes; x unique most probable: yes; next result guaranteed x: yes.",
      "Claim true: no; x possible: yes; x unique most probable: yes; next result guaranteed x: no.",
      "Claim true: no; x possible: yes; x unique most probable: no; next result guaranteed x: yes.",
      "Claim true: no; x possible: yes; x unique most probable: no; next result guaranteed x: no.",
      "Claim true: no; x possible: no; x unique most probable: yes; next result guaranteed x: yes.",
      "Claim true: no; x possible: no; x unique most probable: yes; next result guaranteed x: no.",
      "Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: yes.",
      "Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: no."
    ],
    "answer": "Claim true: yes; x possible: yes; x unique most probable: no; next result guaranteed x: no.",
    "settlement_stratum": "likeliest-outcome",
    "domain": "retry count",
    "boundary": "mean-outside",
    "variant": 0,
    "oracle": {
      "mean": "3",
      "modes": [
        "0",
        "6"
      ],
      "value": "0",
      "flags": [
        true,
        true,
        false,
        false
      ],
      "masses": {
        "0": "1/2",
        "6": "1/2"
      }
    }
  },
  {
    "id": "outcome-careful-outcome-full-161",
    "english": "Shared definition supplied once for this stateless question: x is mean-outcome(D) asserts that x equals the probability-weighted arithmetic mean under D. x is likeliest-outcome(D) asserts that x has the highest aggregated outcome mass under D, with ties allowed. These definitions also govern the corresponding English phrases. They do not guarantee a trial result or certify the model. Fictional retry count model D582, version v3 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive, exact rational masses, not rounded observations: value 1 units with mass 1/2; value 7 units with mass 1/2. Add masses of paths with the same value. Mean is the probability-weighted arithmetic mean; most probable compares aggregated value masses and allows ties. Here x = 2 units. No claim that the model is correct or guarantees a trial is supplied. Statement: Under D582, 2 units has the highest outcome probability, ties allowed.",
    "ainglish": "Shared definition supplied once for this stateless question: x is mean-outcome(D) asserts that x equals the probability-weighted arithmetic mean under D. x is likeliest-outcome(D) asserts that x has the highest aggregated outcome mass under D, with ties allowed. These definitions also govern the corresponding English phrases. They do not guarantee a trial result or certify the model. Fictional retry count model D582, version v3 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive, exact rational masses, not rounded observations: value 1 units with mass 1/2; value 7 units with mass 1/2. Add masses of paths with the same value. Mean is the probability-weighted arithmetic mean; most probable compares aggregated value masses and allows ties. Here x = 2 units. No claim that the model is correct or guarantees a trial is supplied. Statement: 2 units is likeliest-outcome(D582).",
    "question": "Evaluate the claim, whether x can actually occur, whether x alone is most probable, and whether the next result is guaranteed to equal x.",
    "options": [
      "Claim true: yes; x possible: yes; x unique most probable: yes; next result guaranteed x: yes.",
      "Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: no.",
      "Claim true: yes; x possible: yes; x unique most probable: yes; next result guaranteed x: no.",
      "Claim true: yes; x possible: yes; x unique most probable: no; next result guaranteed x: yes.",
      "Claim true: yes; x possible: yes; x unique most probable: no; next result guaranteed x: no.",
      "Claim true: yes; x possible: no; x unique most probable: yes; next result guaranteed x: yes.",
      "Claim true: yes; x possible: no; x unique most probable: yes; next result guaranteed x: no.",
      "Claim true: yes; x possible: no; x unique most probable: no; next result guaranteed x: yes.",
      "Claim true: yes; x possible: no; x unique most probable: no; next result guaranteed x: no.",
      "Claim true: no; x possible: yes; x unique most probable: yes; next result guaranteed x: yes.",
      "Claim true: no; x possible: yes; x unique most probable: yes; next result guaranteed x: no.",
      "Claim true: no; x possible: yes; x unique most probable: no; next result guaranteed x: yes.",
      "Claim true: no; x possible: yes; x unique most probable: no; next result guaranteed x: no.",
      "Claim true: no; x possible: no; x unique most probable: yes; next result guaranteed x: yes.",
      "Claim true: no; x possible: no; x unique most probable: yes; next result guaranteed x: no.",
      "Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: yes."
    ],
    "answer": "Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: no.",
    "settlement_stratum": "likeliest-outcome",
    "domain": "retry count",
    "boundary": "mean-outside",
    "variant": 1,
    "oracle": {
      "mean": "4",
      "modes": [
        "1",
        "7"
      ],
      "value": "2",
      "flags": [
        false,
        false,
        false,
        false
      ],
      "masses": {
        "1": "1/2",
        "7": "1/2"
      }
    }
  },
  {
    "id": "outcome-careful-outcome-full-162",
    "english": "Shared definition supplied once for this stateless question: x is mean-outcome(D) asserts that x equals the probability-weighted arithmetic mean under D. x is likeliest-outcome(D) asserts that x has the highest aggregated outcome mass under D, with ties allowed. These definitions also govern the corresponding English phrases. They do not guarantee a trial result or certify the model. Fictional retry count model D583, version v3 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive, exact rational masses, not rounded observations: value 2 units with mass 1/2; value 8 units with mass 1/2. Add masses of paths with the same value. Mean is the probability-weighted arithmetic mean; most probable compares aggregated value masses and allows ties. Here x = 2 units. No claim that the model is correct or guarantees a trial is supplied. Statement: Under D583, 2 units has the highest outcome probability, ties allowed.",
    "ainglish": "Shared definition supplied once for this stateless question: x is mean-outcome(D) asserts that x equals the probability-weighted arithmetic mean under D. x is likeliest-outcome(D) asserts that x has the highest aggregated outcome mass under D, with ties allowed. These definitions also govern the corresponding English phrases. They do not guarantee a trial result or certify the model. Fictional retry count model D583, version v3 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive, exact rational masses, not rounded observations: value 2 units with mass 1/2; value 8 units with mass 1/2. Add masses of paths with the same value. Mean is the probability-weighted arithmetic mean; most probable compares aggregated value masses and allows ties. Here x = 2 units. No claim that the model is correct or guarantees a trial is supplied. Statement: 2 units is likeliest-outcome(D583).",
    "question": "Evaluate the claim, whether x can actually occur, whether x alone is most probable, and whether the next result is guaranteed to equal x.",
    "options": [
      "Claim true: yes; x possible: yes; x unique most probable: yes; next result guaranteed x: yes.",
      "Claim true: yes; x possible: yes; x unique most probable: yes; next result guaranteed x: no.",
      "Claim true: yes; x possible: yes; x unique most probable: no; next result guaranteed x: no.",
      "Claim true: yes; x possible: yes; x unique most probable: no; next result guaranteed x: yes.",
      "Claim true: yes; x possible: no; x unique most probable: yes; next result guaranteed x: yes.",
      "Claim true: yes; x possible: no; x unique most probable: yes; next result guaranteed x: no.",
      "Claim true: yes; x possible: no; x unique most probable: no; next result guaranteed x: yes.",
      "Claim true: yes; x possible: no; x unique most probable: no; next result guaranteed x: no.",
      "Claim true: no; x possible: yes; x unique most probable: yes; next result guaranteed x: yes.",
      "Claim true: no; x possible: yes; x unique most probable: yes; next result guaranteed x: no.",
      "Claim true: no; x possible: yes; x unique most probable: no; next result guaranteed x: yes.",
      "Claim true: no; x possible: yes; x unique most probable: no; next result guaranteed x: no.",
      "Claim true: no; x possible: no; x unique most probable: yes; next result guaranteed x: yes.",
      "Claim true: no; x possible: no; x unique most probable: yes; next result guaranteed x: no.",
      "Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: yes.",
      "Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: no."
    ],
    "answer": "Claim true: yes; x possible: yes; x unique most probable: no; next result guaranteed x: no.",
    "settlement_stratum": "likeliest-outcome",
    "domain": "retry count",
    "boundary": "mean-outside",
    "variant": 2,
    "oracle": {
      "mean": "5",
      "modes": [
        "2",
        "8"
      ],
      "value": "2",
      "flags": [
        true,
        true,
        false,
        false
      ],
      "masses": {
        "2": "1/2",
        "8": "1/2"
      }
    }
  },
  {
    "id": "outcome-careful-outcome-full-163",
    "english": "Shared definition supplied once for this stateless question: x is mean-outcome(D) asserts that x equals the probability-weighted arithmetic mean under D. x is likeliest-outcome(D) asserts that x has the highest aggregated outcome mass under D, with ties allowed. These definitions also govern the corresponding English phrases. They do not guarantee a trial result or certify the model. Fictional retry count model D584, version v3 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive, exact rational masses, not rounded observations: value 3 units with mass 1/2; value 9 units with mass 1/2. Add masses of paths with the same value. Mean is the probability-weighted arithmetic mean; most probable compares aggregated value masses and allows ties. Here x = 4 units. No claim that the model is correct or guarantees a trial is supplied. Statement: Under D584, 4 units has the highest outcome probability, ties allowed.",
    "ainglish": "Shared definition supplied once for this stateless question: x is mean-outcome(D) asserts that x equals the probability-weighted arithmetic mean under D. x is likeliest-outcome(D) asserts that x has the highest aggregated outcome mass under D, with ties allowed. These definitions also govern the corresponding English phrases. They do not guarantee a trial result or certify the model. Fictional retry count model D584, version v3 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive, exact rational masses, not rounded observations: value 3 units with mass 1/2; value 9 units with mass 1/2. Add masses of paths with the same value. Mean is the probability-weighted arithmetic mean; most probable compares aggregated value masses and allows ties. Here x = 4 units. No claim that the model is correct or guarantees a trial is supplied. Statement: 4 units is likeliest-outcome(D584).",
    "question": "Evaluate the claim, whether x can actually occur, whether x alone is most probable, and whether the next result is guaranteed to equal x.",
    "options": [
      "Claim true: yes; x possible: yes; x unique most probable: yes; next result guaranteed x: yes.",
      "Claim true: yes; x possible: yes; x unique most probable: yes; next result guaranteed x: no.",
      "Claim true: yes; x possible: yes; x unique most probable: no; next result guaranteed x: yes.",
      "Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: no.",
      "Claim true: yes; x possible: yes; x unique most probable: no; next result guaranteed x: no.",
      "Claim true: yes; x possible: no; x unique most probable: yes; next result guaranteed x: yes.",
      "Claim true: yes; x possible: no; x unique most probable: yes; next result guaranteed x: no.",
      "Claim true: yes; x possible: no; x unique most probable: no; next result guaranteed x: yes.",
      "Claim true: yes; x possible: no; x unique most probable: no; next result guaranteed x: no.",
      "Claim true: no; x possible: yes; x unique most probable: yes; next result guaranteed x: yes.",
      "Claim true: no; x possible: yes; x unique most probable: yes; next result guaranteed x: no.",
      "Claim true: no; x possible: yes; x unique most probable: no; next result guaranteed x: yes.",
      "Claim true: no; x possible: yes; x unique most probable: no; next result guaranteed x: no.",
      "Claim true: no; x possible: no; x unique most probable: yes; next result guaranteed x: yes.",
      "Claim true: no; x possible: no; x unique most probable: yes; next result guaranteed x: no.",
      "Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: yes."
    ],
    "answer": "Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: no.",
    "settlement_stratum": "likeliest-outcome",
    "domain": "retry count",
    "boundary": "mean-outside",
    "variant": 3,
    "oracle": {
      "mean": "6",
      "modes": [
        "3",
        "9"
      ],
      "value": "4",
      "flags": [
        false,
        false,
        false,
        false
      ],
      "masses": {
        "3": "1/2",
        "9": "1/2"
      }
    }
  },
  {
    "id": "outcome-careful-outcome-full-164",
    "english": "Shared definition supplied once for this stateless question: x is mean-outcome(D) asserts that x equals the probability-weighted arithmetic mean under D. x is likeliest-outcome(D) asserts that x has the highest aggregated outcome mass under D, with ties allowed. These definitions also govern the corresponding English phrases. They do not guarantee a trial result or certify the model. Fictional retry count model D585, version v3 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive, exact rational masses, not rounded observations: value 0 units with mass 2/5; value 2 units with mass 3/10; value 5 units with mass 3/10. Add masses of paths with the same value. Mean is the probability-weighted arithmetic mean; most probable compares aggregated value masses and allows ties. Here x = 0 units. No claim that the model is correct or guarantees a trial is supplied. Statement: Under D585, 0 units has the highest outcome probability, ties allowed.",
    "ainglish": "Shared definition supplied once for this stateless question: x is mean-outcome(D) asserts that x equals the probability-weighted arithmetic mean under D. x is likeliest-outcome(D) asserts that x has the highest aggregated outcome mass under D, with ties allowed. These definitions also govern the corresponding English phrases. They do not guarantee a trial result or certify the model. Fictional retry count model D585, version v3 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive, exact rational masses, not rounded observations: value 0 units with mass 2/5; value 2 units with mass 3/10; value 5 units with mass 3/10. Add masses of paths with the same value. Mean is the probability-weighted arithmetic mean; most probable compares aggregated value masses and allows ties. Here x = 0 units. No claim that the model is correct or guarantees a trial is supplied. Statement: 0 units is likeliest-outcome(D585).",
    "question": "Evaluate the claim, whether x can actually occur, whether x alone is most probable, and whether the next result is guaranteed to equal x.",
    "options": [
      "Claim true: yes; x possible: yes; x unique most probable: yes; next result guaranteed x: yes.",
      "Claim true: yes; x possible: yes; x unique most probable: no; next result guaranteed x: yes.",
      "Claim true: yes; x possible: yes; x unique most probable: no; next result guaranteed x: no.",
      "Claim true: yes; x possible: no; x unique most probable: yes; next result guaranteed x: yes.",
      "Claim true: yes; x possible: yes; x unique most probable: yes; next result guaranteed x: no.",
      "Claim true: yes; x possible: no; x unique most probable: yes; next result guaranteed x: no.",
      "Claim true: yes; x possible: no; x unique most probable: no; next result guaranteed x: yes.",
      "Claim true: yes; x possible: no; x unique most probable: no; next result guaranteed x: no.",
      "Claim true: no; x possible: yes; x unique most probable: yes; next result guaranteed x: yes.",
      "Claim true: no; x possible: yes; x unique most probable: yes; next result guaranteed x: no.",
      "Claim true: no; x possible: yes; x unique most probable: no; next result guaranteed x: yes.",
      "Claim true: no; x possible: yes; x unique most probable: no; next result guaranteed x: no.",
      "Claim true: no; x possible: no; x unique most probable: yes; next result guaranteed x: yes.",
      "Claim true: no; x possible: no; x unique most probable: yes; next result guaranteed x: no.",
      "Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: yes.",
      "Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: no."
    ],
    "answer": "Claim true: yes; x possible: yes; x unique most probable: yes; next result guaranteed x: no.",
    "settlement_stratum": "likeliest-outcome",
    "domain": "retry count",
    "boundary": "mode-below-half",
    "variant": 0,
    "oracle": {
      "mean": "21/10",
      "modes": [
        "0"
      ],
      "value": "0",
      "flags": [
        true,
        true,
        true,
        false
      ],
      "masses": {
        "0": "2/5",
        "2": "3/10",
        "5": "3/10"
      }
    }
  },
  {
    "id": "outcome-careful-outcome-full-165",
    "english": "Shared definition supplied once for this stateless question: x is mean-outcome(D) asserts that x equals the probability-weighted arithmetic mean under D. x is likeliest-outcome(D) asserts that x has the highest aggregated outcome mass under D, with ties allowed. These definitions also govern the corresponding English phrases. They do not guarantee a trial result or certify the model. Fictional retry count model D586, version v3 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive, exact rational masses, not rounded observations: value 1 units with mass 2/5; value 3 units with mass 3/10; value 6 units with mass 3/10. Add masses of paths with the same value. Mean is the probability-weighted arithmetic mean; most probable compares aggregated value masses and allows ties. Here x = 2 units. No claim that the model is correct or guarantees a trial is supplied. Statement: Under D586, 2 units has the highest outcome probability, ties allowed.",
    "ainglish": "Shared definition supplied once for this stateless question: x is mean-outcome(D) asserts that x equals the probability-weighted arithmetic mean under D. x is likeliest-outcome(D) asserts that x has the highest aggregated outcome mass under D, with ties allowed. These definitions also govern the corresponding English phrases. They do not guarantee a trial result or certify the model. Fictional retry count model D586, version v3 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive, exact rational masses, not rounded observations: value 1 units with mass 2/5; value 3 units with mass 3/10; value 6 units with mass 3/10. Add masses of paths with the same value. Mean is the probability-weighted arithmetic mean; most probable compares aggregated value masses and allows ties. Here x = 2 units. No claim that the model is correct or guarantees a trial is supplied. Statement: 2 units is likeliest-outcome(D586).",
    "question": "Evaluate the claim, whether x can actually occur, whether x alone is most probable, and whether the next result is guaranteed to equal x.",
    "options": [
      "Claim true: yes; x possible: yes; x unique most probable: yes; next result guaranteed x: yes.",
      "Claim true: yes; x possible: yes; x unique most probable: yes; next result guaranteed x: no.",
      "Claim true: yes; x possible: yes; x unique most probable: no; next result guaranteed x: yes.",
      "Claim true: yes; x possible: yes; x unique most probable: no; next result guaranteed x: no.",
      "Claim true: yes; x possible: no; x unique most probable: yes; next result guaranteed x: yes.",
      "Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: no.",
      "Claim true: yes; x possible: no; x unique most probable: yes; next result guaranteed x: no.",
      "Claim true: yes; x possible: no; x unique most probable: no; next result guaranteed x: yes.",
      "Claim true: yes; x possible: no; x unique most probable: no; next result guaranteed x: no.",
      "Claim true: no; x possible: yes; x unique most probable: yes; next result guaranteed x: yes.",
      "Claim true: no; x possible: yes; x unique most probable: yes; next result guaranteed x: no.",
      "Claim true: no; x possible: yes; x unique most probable: no; next result guaranteed x: yes.",
      "Claim true: no; x possible: yes; x unique most probable: no; next result guaranteed x: no.",
      "Claim true: no; x possible: no; x unique most probable: yes; next result guaranteed x: yes.",
      "Claim true: no; x possible: no; x unique most probable: yes; next result guaranteed x: no.",
      "Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: yes."
    ],
    "answer": "Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: no.",
    "settlement_stratum": "likeliest-outcome",
    "domain": "retry count",
    "boundary": "mode-below-half",
    "variant": 1,
    "oracle": {
      "mean": "31/10",
      "modes": [
        "1"
      ],
      "value": "2",
      "flags": [
        false,
        false,
        false,
        false
      ],
      "masses": {
        "1": "2/5",
        "3": "3/10",
        "6": "3/10"
      }
    }
  },
  {
    "id": "outcome-careful-outcome-full-166",
    "english": "Shared definition supplied once for this stateless question: x is mean-outcome(D) asserts that x equals the probability-weighted arithmetic mean under D. x is likeliest-outcome(D) asserts that x has the highest aggregated outcome mass under D, with ties allowed. These definitions also govern the corresponding English phrases. They do not guarantee a trial result or certify the model. Fictional retry count model D587, version v3 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive, exact rational masses, not rounded observations: value 2 units with mass 2/5; value 4 units with mass 3/10; value 7 units with mass 3/10. Add masses of paths with the same value. Mean is the probability-weighted arithmetic mean; most probable compares aggregated value masses and allows ties. Here x = 2 units. No claim that the model is correct or guarantees a trial is supplied. Statement: Under D587, 2 units has the highest outcome probability, ties allowed.",
    "ainglish": "Shared definition supplied once for this stateless question: x is mean-outcome(D) asserts that x equals the probability-weighted arithmetic mean under D. x is likeliest-outcome(D) asserts that x has the highest aggregated outcome mass under D, with ties allowed. These definitions also govern the corresponding English phrases. They do not guarantee a trial result or certify the model. Fictional retry count model D587, version v3 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive, exact rational masses, not rounded observations: value 2 units with mass 2/5; value 4 units with mass 3/10; value 7 units with mass 3/10. Add masses of paths with the same value. Mean is the probability-weighted arithmetic mean; most probable compares aggregated value masses and allows ties. Here x = 2 units. No claim that the model is correct or guarantees a trial is supplied. Statement: 2 units is likeliest-outcome(D587).",
    "question": "Evaluate the claim, whether x can actually occur, whether x alone is most probable, and whether the next result is guaranteed to equal x.",
    "options": [
      "Claim true: yes; x possible: yes; x unique most probable: yes; next result guaranteed x: yes.",
      "Claim true: yes; x possible: yes; x unique most probable: no; next result guaranteed x: yes.",
      "Claim true: yes; x possible: yes; x unique most probable: no; next result guaranteed x: no.",
      "Claim true: yes; x possible: no; x unique most probable: yes; next result guaranteed x: yes.",
      "Claim true: yes; x possible: no; x unique most probable: yes; next result guaranteed x: no.",
      "Claim true: yes; x possible: no; x unique most probable: no; next result guaranteed x: yes.",
      "Claim true: yes; x possible: yes; x unique most probable: yes; next result guaranteed x: no.",
      "Claim true: yes; x possible: no; x unique most probable: no; next result guaranteed x: no.",
      "Claim true: no; x possible: yes; x unique most probable: yes; next result guaranteed x: yes.",
      "Claim true: no; x possible: yes; x unique most probable: yes; next result guaranteed x: no.",
      "Claim true: no; x possible: yes; x unique most probable: no; next result guaranteed x: yes.",
      "Claim true: no; x possible: yes; x unique most probable: no; next result guaranteed x: no.",
      "Claim true: no; x possible: no; x unique most probable: yes; next result guaranteed x: yes.",
      "Claim true: no; x possible: no; x unique most probable: yes; next result guaranteed x: no.",
      "Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: yes.",
      "Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: no."
    ],
    "answer": "Claim true: yes; x possible: yes; x unique most probable: yes; next result guaranteed x: no.",
    "settlement_stratum": "likeliest-outcome",
    "domain": "retry count",
    "boundary": "mode-below-half",
    "variant": 2,
    "oracle": {
      "mean": "41/10",
      "modes": [
        "2"
      ],
      "value": "2",
      "flags": [
        true,
        true,
        true,
        false
      ],
      "masses": {
        "2": "2/5",
        "4": "3/10",
        "7": "3/10"
      }
    }
  },
  {
    "id": "outcome-careful-outcome-full-167",
    "english": "Shared definition supplied once for this stateless question: x is mean-outcome(D) asserts that x equals the probability-weighted arithmetic mean under D. x is likeliest-outcome(D) asserts that x has the highest aggregated outcome mass under D, with ties allowed. These definitions also govern the corresponding English phrases. They do not guarantee a trial result or certify the model. Fictional retry count model D588, version v3 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive, exact rational masses, not rounded observations: value 3 units with mass 2/5; value 5 units with mass 3/10; value 8 units with mass 3/10. Add masses of paths with the same value. Mean is the probability-weighted arithmetic mean; most probable compares aggregated value masses and allows ties. Here x = 4 units. No claim that the model is correct or guarantees a trial is supplied. Statement: Under D588, 4 units has the highest outcome probability, ties allowed.",
    "ainglish": "Shared definition supplied once for this stateless question: x is mean-outcome(D) asserts that x equals the probability-weighted arithmetic mean under D. x is likeliest-outcome(D) asserts that x has the highest aggregated outcome mass under D, with ties allowed. These definitions also govern the corresponding English phrases. They do not guarantee a trial result or certify the model. Fictional retry count model D588, version v3 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive, exact rational masses, not rounded observations: value 3 units with mass 2/5; value 5 units with mass 3/10; value 8 units with mass 3/10. Add masses of paths with the same value. Mean is the probability-weighted arithmetic mean; most probable compares aggregated value masses and allows ties. Here x = 4 units. No claim that the model is correct or guarantees a trial is supplied. Statement: 4 units is likeliest-outcome(D588).",
    "question": "Evaluate the claim, whether x can actually occur, whether x alone is most probable, and whether the next result is guaranteed to equal x.",
    "options": [
      "Claim true: yes; x possible: yes; x unique most probable: yes; next result guaranteed x: yes.",
      "Claim true: yes; x possible: yes; x unique most probable: yes; next result guaranteed x: no.",
      "Claim true: yes; x possible: yes; x unique most probable: no; next result guaranteed x: yes.",
      "Claim true: yes; x possible: yes; x unique most probable: no; next result guaranteed x: no.",
      "Claim true: yes; x possible: no; x unique most probable: yes; next result guaranteed x: yes.",
      "Claim true: yes; x possible: no; x unique most probable: yes; next result guaranteed x: no.",
      "Claim true: yes; x possible: no; x unique most probable: no; next result guaranteed x: yes.",
      "Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: no.",
      "Claim true: yes; x possible: no; x unique most probable: no; next result guaranteed x: no.",
      "Claim true: no; x possible: yes; x unique most probable: yes; next result guaranteed x: yes.",
      "Claim true: no; x possible: yes; x unique most probable: yes; next result guaranteed x: no.",
      "Claim true: no; x possible: yes; x unique most probable: no; next result guaranteed x: yes.",
      "Claim true: no; x possible: yes; x unique most probable: no; next result guaranteed x: no.",
      "Claim true: no; x possible: no; x unique most probable: yes; next result guaranteed x: yes.",
      "Claim true: no; x possible: no; x unique most probable: yes; next result guaranteed x: no.",
      "Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: yes."
    ],
    "answer": "Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: no.",
    "settlement_stratum": "likeliest-outcome",
    "domain": "retry count",
    "boundary": "mode-below-half",
    "variant": 3,
    "oracle": {
      "mean": "51/10",
      "modes": [
        "3"
      ],
      "value": "4",
      "flags": [
        false,
        false,
        false,
        false
      ],
      "masses": {
        "3": "2/5",
        "5": "3/10",
        "8": "3/10"
      }
    }
  },
  {
    "id": "outcome-careful-outcome-full-168",
    "english": "Shared definition supplied once for this stateless question: x is mean-outcome(D) asserts that x equals the probability-weighted arithmetic mean under D. x is likeliest-outcome(D) asserts that x has the highest aggregated outcome mass under D, with ties allowed. These definitions also govern the corresponding English phrases. They do not guarantee a trial result or certify the model. Fictional retry count model D589, version v3 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive, exact rational masses, not rounded observations: value 1 units with mass 2/5; value 3 units with mass 2/5; value 7 units with mass 1/5. Add masses of paths with the same value. Mean is the probability-weighted arithmetic mean; most probable compares aggregated value masses and allows ties. Here x = 1 units. No claim that the model is correct or guarantees a trial is supplied. Statement: Under D589, 1 units has the highest outcome probability, ties allowed.",
    "ainglish": "Shared definition supplied once for this stateless question: x is mean-outcome(D) asserts that x equals the probability-weighted arithmetic mean under D. x is likeliest-outcome(D) asserts that x has the highest aggregated outcome mass under D, with ties allowed. These definitions also govern the corresponding English phrases. They do not guarantee a trial result or certify the model. Fictional retry count model D589, version v3 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive, exact rational masses, not rounded observations: value 1 units with mass 2/5; value 3 units with mass 2/5; value 7 units with mass 1/5. Add masses of paths with the same value. Mean is the probability-weighted arithmetic mean; most probable compares aggregated value masses and allows ties. Here x = 1 units. No claim that the model is correct or guarantees a trial is supplied. Statement: 1 units is likeliest-outcome(D589).",
    "question": "Evaluate the claim, whether x can actually occur, whether x alone is most probable, and whether the next result is guaranteed to equal x.",
    "options": [
      "Claim true: yes; x possible: yes; x unique most probable: yes; next result guaranteed x: yes.",
      "Claim true: yes; x possible: yes; x unique most probable: yes; next result guaranteed x: no.",
      "Claim true: yes; x possible: yes; x unique most probable: no; next result guaranteed x: yes.",
      "Claim true: yes; x possible: no; x unique most probable: yes; next result guaranteed x: yes.",
      "Claim true: yes; x possible: no; x unique most probable: yes; next result guaranteed x: no.",
      "Claim true: yes; x possible: no; x unique most probable: no; next result guaranteed x: yes.",
      "Claim true: yes; x possible: no; x unique most probable: no; next result guaranteed x: no.",
      "Claim true: no; x possible: yes; x unique most probable: yes; next result guaranteed x: yes.",
      "Claim true: yes; x possible: yes; x unique most probable: no; next result guaranteed x: no.",
      "Claim true: no; x possible: yes; x unique most probable: yes; next result guaranteed x: no.",
      "Claim true: no; x possible: yes; x unique most probable: no; next result guaranteed x: yes.",
      "Claim true: no; x possible: yes; x unique most probable: no; next result guaranteed x: no.",
      "Claim true: no; x possible: no; x unique most probable: yes; next result guaranteed x: yes.",
      "Claim true: no; x possible: no; x unique most probable: yes; next result guaranteed x: no.",
      "Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: yes.",
      "Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: no."
    ],
    "answer": "Claim true: yes; x possible: yes; x unique most probable: no; next result guaranteed x: no.",
    "settlement_stratum": "likeliest-outcome",
    "domain": "retry count",
    "boundary": "tied-modes",
    "variant": 0,
    "oracle": {
      "mean": "3",
      "modes": [
        "1",
        "3"
      ],
      "value": "1",
      "flags": [
        true,
        true,
        false,
        false
      ],
      "masses": {
        "1": "2/5",
        "3": "2/5",
        "7": "1/5"
      }
    }
  },
  {
    "id": "outcome-careful-outcome-full-169",
    "english": "Shared definition supplied once for this stateless question: x is mean-outcome(D) asserts that x equals the probability-weighted arithmetic mean under D. x is likeliest-outcome(D) asserts that x has the highest aggregated outcome mass under D, with ties allowed. These definitions also govern the corresponding English phrases. They do not guarantee a trial result or certify the model. Fictional retry count model D590, version v3 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive, exact rational masses, not rounded observations: value 2 units with mass 2/5; value 4 units with mass 2/5; value 8 units with mass 1/5. Add masses of paths with the same value. Mean is the probability-weighted arithmetic mean; most probable compares aggregated value masses and allows ties. Here x = 3 units. No claim that the model is correct or guarantees a trial is supplied. Statement: Under D590, 3 units has the highest outcome probability, ties allowed.",
    "ainglish": "Shared definition supplied once for this stateless question: x is mean-outcome(D) asserts that x equals the probability-weighted arithmetic mean under D. x is likeliest-outcome(D) asserts that x has the highest aggregated outcome mass under D, with ties allowed. These definitions also govern the corresponding English phrases. They do not guarantee a trial result or certify the model. Fictional retry count model D590, version v3 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive, exact rational masses, not rounded observations: value 2 units with mass 2/5; value 4 units with mass 2/5; value 8 units with mass 1/5. Add masses of paths with the same value. Mean is the probability-weighted arithmetic mean; most probable compares aggregated value masses and allows ties. Here x = 3 units. No claim that the model is correct or guarantees a trial is supplied. Statement: 3 units is likeliest-outcome(D590).",
    "question": "Evaluate the claim, whether x can actually occur, whether x alone is most probable, and whether the next result is guaranteed to equal x.",
    "options": [
      "Claim true: yes; x possible: yes; x unique most probable: yes; next result guaranteed x: yes.",
      "Claim true: yes; x possible: yes; x unique most probable: yes; next result guaranteed x: no.",
      "Claim true: yes; x possible: yes; x unique most probable: no; next result guaranteed x: yes.",
      "Claim true: yes; x possible: yes; x unique most probable: no; next result guaranteed x: no.",
      "Claim true: yes; x possible: no; x unique most probable: yes; next result guaranteed x: yes.",
      "Claim true: yes; x possible: no; x unique most probable: yes; next result guaranteed x: no.",
      "Claim true: yes; x possible: no; x unique most probable: no; next result guaranteed x: yes.",
      "Claim true: yes; x possible: no; x unique most probable: no; next result guaranteed x: no.",
      "Claim true: no; x possible: yes; x unique most probable: yes; next result guaranteed x: yes.",
      "Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: no.",
      "Claim true: no; x possible: yes; x unique most probable: yes; next result guaranteed x: no.",
      "Claim true: no; x possible: yes; x unique most probable: no; next result guaranteed x: yes.",
      "Claim true: no; x possible: yes; x unique most probable: no; next result guaranteed x: no.",
      "Claim true: no; x possible: no; x unique most probable: yes; next result guaranteed x: yes.",
      "Claim true: no; x possible: no; x unique most probable: yes; next result guaranteed x: no.",
      "Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: yes."
    ],
    "answer": "Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: no.",
    "settlement_stratum": "likeliest-outcome",
    "domain": "retry count",
    "boundary": "tied-modes",
    "variant": 1,
    "oracle": {
      "mean": "4",
      "modes": [
        "2",
        "4"
      ],
      "value": "3",
      "flags": [
        false,
        false,
        false,
        false
      ],
      "masses": {
        "2": "2/5",
        "4": "2/5",
        "8": "1/5"
      }
    }
  },
  {
    "id": "outcome-careful-outcome-full-170",
    "english": "Shared definition supplied once for this stateless question: x is mean-outcome(D) asserts that x equals the probability-weighted arithmetic mean under D. x is likeliest-outcome(D) asserts that x has the highest aggregated outcome mass under D, with ties allowed. These definitions also govern the corresponding English phrases. They do not guarantee a trial result or certify the model. Fictional retry count model D591, version v3 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive, exact rational masses, not rounded observations: value 3 units with mass 2/5; value 5 units with mass 2/5; value 9 units with mass 1/5. Add masses of paths with the same value. Mean is the probability-weighted arithmetic mean; most probable compares aggregated value masses and allows ties. Here x = 3 units. No claim that the model is correct or guarantees a trial is supplied. Statement: Under D591, 3 units has the highest outcome probability, ties allowed.",
    "ainglish": "Shared definition supplied once for this stateless question: x is mean-outcome(D) asserts that x equals the probability-weighted arithmetic mean under D. x is likeliest-outcome(D) asserts that x has the highest aggregated outcome mass under D, with ties allowed. These definitions also govern the corresponding English phrases. They do not guarantee a trial result or certify the model. Fictional retry count model D591, version v3 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive, exact rational masses, not rounded observations: value 3 units with mass 2/5; value 5 units with mass 2/5; value 9 units with mass 1/5. Add masses of paths with the same value. Mean is the probability-weighted arithmetic mean; most probable compares aggregated value masses and allows ties. Here x = 3 units. No claim that the model is correct or guarantees a trial is supplied. Statement: 3 units is likeliest-outcome(D591).",
    "question": "Evaluate the claim, whether x can actually occur, whether x alone is most probable, and whether the next result is guaranteed to equal x.",
    "options": [
      "Claim true: yes; x possible: yes; x unique most probable: yes; next result guaranteed x: yes.",
      "Claim true: yes; x possible: yes; x unique most probable: yes; next result guaranteed x: no.",
      "Claim true: yes; x possible: yes; x unique most probable: no; next result guaranteed x: yes.",
      "Claim true: yes; x possible: no; x unique most probable: yes; next result guaranteed x: yes.",
      "Claim true: yes; x possible: no; x unique most probable: yes; next result guaranteed x: no.",
      "Claim true: yes; x possible: no; x unique most probable: no; next result guaranteed x: yes.",
      "Claim true: yes; x possible: no; x unique most probable: no; next result guaranteed x: no.",
      "Claim true: no; x possible: yes; x unique most probable: yes; next result guaranteed x: yes.",
      "Claim true: no; x possible: yes; x unique most probable: yes; next result guaranteed x: no.",
      "Claim true: no; x possible: yes; x unique most probable: no; next result guaranteed x: yes.",
      "Claim true: yes; x possible: yes; x unique most probable: no; next result guaranteed x: no.",
      "Claim true: no; x possible: yes; x unique most probable: no; next result guaranteed x: no.",
      "Claim true: no; x possible: no; x unique most probable: yes; next result guaranteed x: yes.",
      "Claim true: no; x possible: no; x unique most probable: yes; next result guaranteed x: no.",
      "Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: yes.",
      "Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: no."
    ],
    "answer": "Claim true: yes; x possible: yes; x unique most probable: no; next result guaranteed x: no.",
    "settlement_stratum": "likeliest-outcome",
    "domain": "retry count",
    "boundary": "tied-modes",
    "variant": 2,
    "oracle": {
      "mean": "5",
      "modes": [
        "3",
        "5"
      ],
      "value": "3",
      "flags": [
        true,
        true,
        false,
        false
      ],
      "masses": {
        "3": "2/5",
        "5": "2/5",
        "9": "1/5"
      }
    }
  },
  {
    "id": "outcome-careful-outcome-full-171",
    "english": "Shared definition supplied once for this stateless question: x is mean-outcome(D) asserts that x equals the probability-weighted arithmetic mean under D. x is likeliest-outcome(D) asserts that x has the highest aggregated outcome mass under D, with ties allowed. These definitions also govern the corresponding English phrases. They do not guarantee a trial result or certify the model. Fictional retry count model D592, version v3 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive, exact rational masses, not rounded observations: value 4 units with mass 2/5; value 6 units with mass 2/5; value 10 units with mass 1/5. Add masses of paths with the same value. Mean is the probability-weighted arithmetic mean; most probable compares aggregated value masses and allows ties. Here x = 5 units. No claim that the model is correct or guarantees a trial is supplied. Statement: Under D592, 5 units has the highest outcome probability, ties allowed.",
    "ainglish": "Shared definition supplied once for this stateless question: x is mean-outcome(D) asserts that x equals the probability-weighted arithmetic mean under D. x is likeliest-outcome(D) asserts that x has the highest aggregated outcome mass under D, with ties allowed. These definitions also govern the corresponding English phrases. They do not guarantee a trial result or certify the model. Fictional retry count model D592, version v3 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive, exact rational masses, not rounded observations: value 4 units with mass 2/5; value 6 units with mass 2/5; value 10 units with mass 1/5. Add masses of paths with the same value. Mean is the probability-weighted arithmetic mean; most probable compares aggregated value masses and allows ties. Here x = 5 units. No claim that the model is correct or guarantees a trial is supplied. Statement: 5 units is likeliest-outcome(D592).",
    "question": "Evaluate the claim, whether x can actually occur, whether x alone is most probable, and whether the next result is guaranteed to equal x.",
    "options": [
      "Claim true: yes; x possible: yes; x unique most probable: yes; next result guaranteed x: yes.",
      "Claim true: yes; x possible: yes; x unique most probable: yes; next result guaranteed x: no.",
      "Claim true: yes; x possible: yes; x unique most probable: no; next result guaranteed x: yes.",
      "Claim true: yes; x possible: yes; x unique most probable: no; next result guaranteed x: no.",
      "Claim true: yes; x possible: no; x unique most probable: yes; next result guaranteed x: yes.",
      "Claim true: yes; x possible: no; x unique most probable: yes; next result guaranteed x: no.",
      "Claim true: yes; x possible: no; x unique most probable: no; next result guaranteed x: yes.",
      "Claim true: yes; x possible: no; x unique most probable: no; next result guaranteed x: no.",
      "Claim true: no; x possible: yes; x unique most probable: yes; next result guaranteed x: yes.",
      "Claim true: no; x possible: yes; x unique most probable: yes; next result guaranteed x: no.",
      "Claim true: no; x possible: yes; x unique most probable: no; next result guaranteed x: yes.",
      "Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: no.",
      "Claim true: no; x possible: yes; x unique most probable: no; next result guaranteed x: no.",
      "Claim true: no; x possible: no; x unique most probable: yes; next result guaranteed x: yes.",
      "Claim true: no; x possible: no; x unique most probable: yes; next result guaranteed x: no.",
      "Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: yes."
    ],
    "answer": "Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: no.",
    "settlement_stratum": "likeliest-outcome",
    "domain": "retry count",
    "boundary": "tied-modes",
    "variant": 3,
    "oracle": {
      "mean": "6",
      "modes": [
        "4",
        "6"
      ],
      "value": "5",
      "flags": [
        false,
        false,
        false,
        false
      ],
      "masses": {
        "4": "2/5",
        "6": "2/5",
        "10": "1/5"
      }
    }
  },
  {
    "id": "outcome-careful-outcome-full-172",
    "english": "Shared definition supplied once for this stateless question: x is mean-outcome(D) asserts that x equals the probability-weighted arithmetic mean under D. x is likeliest-outcome(D) asserts that x has the highest aggregated outcome mass under D, with ties allowed. These definitions also govern the corresponding English phrases. They do not guarantee a trial result or certify the model. Fictional retry count model D593, version v3 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive, exact rational masses, not rounded observations: value 0 units with mass 1/4; value 2 units with mass 1/2; value 4 units with mass 1/4. Add masses of paths with the same value. Mean is the probability-weighted arithmetic mean; most probable compares aggregated value masses and allows ties. Here x = 2 units. No claim that the model is correct or guarantees a trial is supplied. Statement: Under D593, 2 units has the highest outcome probability, ties allowed.",
    "ainglish": "Shared definition supplied once for this stateless question: x is mean-outcome(D) asserts that x equals the probability-weighted arithmetic mean under D. x is likeliest-outcome(D) asserts that x has the highest aggregated outcome mass under D, with ties allowed. These definitions also govern the corresponding English phrases. They do not guarantee a trial result or certify the model. Fictional retry count model D593, version v3 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive, exact rational masses, not rounded observations: value 0 units with mass 1/4; value 2 units with mass 1/2; value 4 units with mass 1/4. Add masses of paths with the same value. Mean is the probability-weighted arithmetic mean; most probable compares aggregated value masses and allows ties. Here x = 2 units. No claim that the model is correct or guarantees a trial is supplied. Statement: 2 units is likeliest-outcome(D593).",
    "question": "Evaluate the claim, whether x can actually occur, whether x alone is most probable, and whether the next result is guaranteed to equal x.",
    "options": [
      "Claim true: yes; x possible: yes; x unique most probable: yes; next result guaranteed x: yes.",
      "Claim true: yes; x possible: yes; x unique most probable: no; next result guaranteed x: yes.",
      "Claim true: yes; x possible: yes; x unique most probable: no; next result guaranteed x: no.",
      "Claim true: yes; x possible: no; x unique most probable: yes; next result guaranteed x: yes.",
      "Claim true: yes; x possible: no; x unique most probable: yes; next result guaranteed x: no.",
      "Claim true: yes; x possible: no; x unique most probable: no; next result guaranteed x: yes.",
      "Claim true: yes; x possible: no; x unique most probable: no; next result guaranteed x: no.",
      "Claim true: no; x possible: yes; x unique most probable: yes; next result guaranteed x: yes.",
      "Claim true: no; x possible: yes; x unique most probable: yes; next result guaranteed x: no.",
      "Claim true: no; x possible: yes; x unique most probable: no; next result guaranteed x: yes.",
      "Claim true: no; x possible: yes; x unique most probable: no; next result guaranteed x: no.",
      "Claim true: no; x possible: no; x unique most probable: yes; next result guaranteed x: yes.",
      "Claim true: yes; x possible: yes; x unique most probable: yes; next result guaranteed x: no.",
      "Claim true: no; x possible: no; x unique most probable: yes; next result guaranteed x: no.",
      "Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: yes.",
      "Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: no."
    ],
    "answer": "Claim true: yes; x possible: yes; x unique most probable: yes; next result guaranteed x: no.",
    "settlement_stratum": "likeliest-outcome",
    "domain": "retry count",
    "boundary": "mean-is-mode",
    "variant": 0,
    "oracle": {
      "mean": "2",
      "modes": [
        "2"
      ],
      "value": "2",
      "flags": [
        true,
        true,
        true,
        false
      ],
      "masses": {
        "0": "1/4",
        "2": "1/2",
        "4": "1/4"
      }
    }
  },
  {
    "id": "outcome-careful-outcome-full-173",
    "english": "Shared definition supplied once for this stateless question: x is mean-outcome(D) asserts that x equals the probability-weighted arithmetic mean under D. x is likeliest-outcome(D) asserts that x has the highest aggregated outcome mass under D, with ties allowed. These definitions also govern the corresponding English phrases. They do not guarantee a trial result or certify the model. Fictional retry count model D594, version v3 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive, exact rational masses, not rounded observations: value 1 units with mass 1/4; value 3 units with mass 1/2; value 5 units with mass 1/4. Add masses of paths with the same value. Mean is the probability-weighted arithmetic mean; most probable compares aggregated value masses and allows ties. Here x = 4 units. No claim that the model is correct or guarantees a trial is supplied. Statement: Under D594, 4 units has the highest outcome probability, ties allowed.",
    "ainglish": "Shared definition supplied once for this stateless question: x is mean-outcome(D) asserts that x equals the probability-weighted arithmetic mean under D. x is likeliest-outcome(D) asserts that x has the highest aggregated outcome mass under D, with ties allowed. These definitions also govern the corresponding English phrases. They do not guarantee a trial result or certify the model. Fictional retry count model D594, version v3 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive, exact rational masses, not rounded observations: value 1 units with mass 1/4; value 3 units with mass 1/2; value 5 units with mass 1/4. Add masses of paths with the same value. Mean is the probability-weighted arithmetic mean; most probable compares aggregated value masses and allows ties. Here x = 4 units. No claim that the model is correct or guarantees a trial is supplied. Statement: 4 units is likeliest-outcome(D594).",
    "question": "Evaluate the claim, whether x can actually occur, whether x alone is most probable, and whether the next result is guaranteed to equal x.",
    "options": [
      "Claim true: yes; x possible: yes; x unique most probable: yes; next result guaranteed x: yes.",
      "Claim true: yes; x possible: yes; x unique most probable: yes; next result guaranteed x: no.",
      "Claim true: yes; x possible: yes; x unique most probable: no; next result guaranteed x: yes.",
      "Claim true: yes; x possible: yes; x unique most probable: no; next result guaranteed x: no.",
      "Claim true: yes; x possible: no; x unique most probable: yes; next result guaranteed x: yes.",
      "Claim true: yes; x possible: no; x unique most probable: yes; next result guaranteed x: no.",
      "Claim true: yes; x possible: no; x unique most probable: no; next result guaranteed x: yes.",
      "Claim true: yes; x possible: no; x unique most probable: no; next result guaranteed x: no.",
      "Claim true: no; x possible: yes; x unique most probable: yes; next result guaranteed x: yes.",
      "Claim true: no; x possible: yes; x unique most probable: yes; next result guaranteed x: no.",
      "Claim true: no; x possible: yes; x unique most probable: no; next result guaranteed x: yes.",
      "Claim true: no; x possible: yes; x unique most probable: no; next result guaranteed x: no.",
      "Claim true: no; x possible: no; x unique most probable: yes; next result guaranteed x: yes.",
      "Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: no.",
      "Claim true: no; x possible: no; x unique most probable: yes; next result guaranteed x: no.",
      "Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: yes."
    ],
    "answer": "Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: no.",
    "settlement_stratum": "likeliest-outcome",
    "domain": "retry count",
    "boundary": "mean-is-mode",
    "variant": 1,
    "oracle": {
      "mean": "3",
      "modes": [
        "3"
      ],
      "value": "4",
      "flags": [
        false,
        false,
        false,
        false
      ],
      "masses": {
        "1": "1/4",
        "3": "1/2",
        "5": "1/4"
      }
    }
  },
  {
    "id": "outcome-careful-outcome-full-174",
    "english": "Shared definition supplied once for this stateless question: x is mean-outcome(D) asserts that x equals the probability-weighted arithmetic mean under D. x is likeliest-outcome(D) asserts that x has the highest aggregated outcome mass under D, with ties allowed. These definitions also govern the corresponding English phrases. They do not guarantee a trial result or certify the model. Fictional retry count model D595, version v3 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive, exact rational masses, not rounded observations: value 2 units with mass 1/4; value 4 units with mass 1/2; value 6 units with mass 1/4. Add masses of paths with the same value. Mean is the probability-weighted arithmetic mean; most probable compares aggregated value masses and allows ties. Here x = 4 units. No claim that the model is correct or guarantees a trial is supplied. Statement: Under D595, 4 units has the highest outcome probability, ties allowed.",
    "ainglish": "Shared definition supplied once for this stateless question: x is mean-outcome(D) asserts that x equals the probability-weighted arithmetic mean under D. x is likeliest-outcome(D) asserts that x has the highest aggregated outcome mass under D, with ties allowed. These definitions also govern the corresponding English phrases. They do not guarantee a trial result or certify the model. Fictional retry count model D595, version v3 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive, exact rational masses, not rounded observations: value 2 units with mass 1/4; value 4 units with mass 1/2; value 6 units with mass 1/4. Add masses of paths with the same value. Mean is the probability-weighted arithmetic mean; most probable compares aggregated value masses and allows ties. Here x = 4 units. No claim that the model is correct or guarantees a trial is supplied. Statement: 4 units is likeliest-outcome(D595).",
    "question": "Evaluate the claim, whether x can actually occur, whether x alone is most probable, and whether the next result is guaranteed to equal x.",
    "options": [
      "Claim true: yes; x possible: yes; x unique most probable: yes; next result guaranteed x: yes.",
      "Claim true: yes; x possible: yes; x unique most probable: no; next result guaranteed x: yes.",
      "Claim true: yes; x possible: yes; x unique most probable: no; next result guaranteed x: no.",
      "Claim true: yes; x possible: no; x unique most probable: yes; next result guaranteed x: yes.",
      "Claim true: yes; x possible: no; x unique most probable: yes; next result guaranteed x: no.",
      "Claim true: yes; x possible: no; x unique most probable: no; next result guaranteed x: yes.",
      "Claim true: yes; x possible: no; x unique most probable: no; next result guaranteed x: no.",
      "Claim true: no; x possible: yes; x unique most probable: yes; next result guaranteed x: yes.",
      "Claim true: no; x possible: yes; x unique most probable: yes; next result guaranteed x: no.",
      "Claim true: no; x possible: yes; x unique most probable: no; next result guaranteed x: yes.",
      "Claim true: no; x possible: yes; x unique most probable: no; next result guaranteed x: no.",
      "Claim true: no; x possible: no; x unique most probable: yes; next result guaranteed x: yes.",
      "Claim true: no; x possible: no; x unique most probable: yes; next result guaranteed x: no.",
      "Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: yes.",
      "Claim true: yes; x possible: yes; x unique most probable: yes; next result guaranteed x: no.",
      "Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: no."
    ],
    "answer": "Claim true: yes; x possible: yes; x unique most probable: yes; next result guaranteed x: no.",
    "settlement_stratum": "likeliest-outcome",
    "domain": "retry count",
    "boundary": "mean-is-mode",
    "variant": 2,
    "oracle": {
      "mean": "4",
      "modes": [
        "4"
      ],
      "value": "4",
      "flags": [
        true,
        true,
        true,
        false
      ],
      "masses": {
        "2": "1/4",
        "4": "1/2",
        "6": "1/4"
      }
    }
  },
  {
    "id": "outcome-careful-outcome-full-175",
    "english": "Shared definition supplied once for this stateless question: x is mean-outcome(D) asserts that x equals the probability-weighted arithmetic mean under D. x is likeliest-outcome(D) asserts that x has the highest aggregated outcome mass under D, with ties allowed. These definitions also govern the corresponding English phrases. They do not guarantee a trial result or certify the model. Fictional retry count model D596, version v3 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive, exact rational masses, not rounded observations: value 3 units with mass 1/4; value 5 units with mass 1/2; value 7 units with mass 1/4. Add masses of paths with the same value. Mean is the probability-weighted arithmetic mean; most probable compares aggregated value masses and allows ties. Here x = 6 units. No claim that the model is correct or guarantees a trial is supplied. Statement: Under D596, 6 units has the highest outcome probability, ties allowed.",
    "ainglish": "Shared definition supplied once for this stateless question: x is mean-outcome(D) asserts that x equals the probability-weighted arithmetic mean under D. x is likeliest-outcome(D) asserts that x has the highest aggregated outcome mass under D, with ties allowed. These definitions also govern the corresponding English phrases. They do not guarantee a trial result or certify the model. Fictional retry count model D596, version v3 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive, exact rational masses, not rounded observations: value 3 units with mass 1/4; value 5 units with mass 1/2; value 7 units with mass 1/4. Add masses of paths with the same value. Mean is the probability-weighted arithmetic mean; most probable compares aggregated value masses and allows ties. Here x = 6 units. No claim that the model is correct or guarantees a trial is supplied. Statement: 6 units is likeliest-outcome(D596).",
    "question": "Evaluate the claim, whether x can actually occur, whether x alone is most probable, and whether the next result is guaranteed to equal x.",
    "options": [
      "Claim true: yes; x possible: yes; x unique most probable: yes; next result guaranteed x: yes.",
      "Claim true: yes; x possible: yes; x unique most probable: yes; next result guaranteed x: no.",
      "Claim true: yes; x possible: yes; x unique most probable: no; next result guaranteed x: yes.",
      "Claim true: yes; x possible: yes; x unique most probable: no; next result guaranteed x: no.",
      "Claim true: yes; x possible: no; x unique most probable: yes; next result guaranteed x: yes.",
      "Claim true: yes; x possible: no; x unique most probable: yes; next result guaranteed x: no.",
      "Claim true: yes; x possible: no; x unique most probable: no; next result guaranteed x: yes.",
      "Claim true: yes; x possible: no; x unique most probable: no; next result guaranteed x: no.",
      "Claim true: no; x possible: yes; x unique most probable: yes; next result guaranteed x: yes.",
      "Claim true: no; x possible: yes; x unique most probable: yes; next result guaranteed x: no.",
      "Claim true: no; x possible: yes; x unique most probable: no; next result guaranteed x: yes.",
      "Claim true: no; x possible: yes; x unique most probable: no; next result guaranteed x: no.",
      "Claim true: no; x possible: no; x unique most probable: yes; next result guaranteed x: yes.",
      "Claim true: no; x possible: no; x unique most probable: yes; next result guaranteed x: no.",
      "Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: yes.",
      "Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: no."
    ],
    "answer": "Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: no.",
    "settlement_stratum": "likeliest-outcome",
    "domain": "retry count",
    "boundary": "mean-is-mode",
    "variant": 3,
    "oracle": {
      "mean": "5",
      "modes": [
        "5"
      ],
      "value": "6",
      "flags": [
        false,
        false,
        false,
        false
      ],
      "masses": {
        "3": "1/4",
        "5": "1/2",
        "7": "1/4"
      }
    }
  },
  {
    "id": "outcome-careful-outcome-full-176",
    "english": "Shared definition supplied once for this stateless question: x is mean-outcome(D) asserts that x equals the probability-weighted arithmetic mean under D. x is likeliest-outcome(D) asserts that x has the highest aggregated outcome mass under D, with ties allowed. These definitions also govern the corresponding English phrases. They do not guarantee a trial result or certify the model. Fictional retry count model D597, version v3 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive, exact rational masses, not rounded observations: value 0 units with mass 1/5; value 4 units with mass 3/10; value 4 units with mass 3/10; value 8 units with mass 1/5. Add masses of paths with the same value. Mean is the probability-weighted arithmetic mean; most probable compares aggregated value masses and allows ties. Here x = 4 units. No claim that the model is correct or guarantees a trial is supplied. Statement: Under D597, 4 units has the highest outcome probability, ties allowed.",
    "ainglish": "Shared definition supplied once for this stateless question: x is mean-outcome(D) asserts that x equals the probability-weighted arithmetic mean under D. x is likeliest-outcome(D) asserts that x has the highest aggregated outcome mass under D, with ties allowed. These definitions also govern the corresponding English phrases. They do not guarantee a trial result or certify the model. Fictional retry count model D597, version v3 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive, exact rational masses, not rounded observations: value 0 units with mass 1/5; value 4 units with mass 3/10; value 4 units with mass 3/10; value 8 units with mass 1/5. Add masses of paths with the same value. Mean is the probability-weighted arithmetic mean; most probable compares aggregated value masses and allows ties. Here x = 4 units. No claim that the model is correct or guarantees a trial is supplied. Statement: 4 units is likeliest-outcome(D597).",
    "question": "Evaluate the claim, whether x can actually occur, whether x alone is most probable, and whether the next result is guaranteed to equal x.",
    "options": [
      "Claim true: yes; x possible: yes; x unique most probable: yes; next result guaranteed x: no.",
      "Claim true: yes; x possible: yes; x unique most probable: yes; next result guaranteed x: yes.",
      "Claim true: yes; x possible: yes; x unique most probable: no; next result guaranteed x: yes.",
      "Claim true: yes; x possible: yes; x unique most probable: no; next result guaranteed x: no.",
      "Claim true: yes; x possible: no; x unique most probable: yes; next result guaranteed x: yes.",
      "Claim true: yes; x possible: no; x unique most probable: yes; next result guaranteed x: no.",
      "Claim true: yes; x possible: no; x unique most probable: no; next result guaranteed x: yes.",
      "Claim true: yes; x possible: no; x unique most probable: no; next result guaranteed x: no.",
      "Claim true: no; x possible: yes; x unique most probable: yes; next result guaranteed x: yes.",
      "Claim true: no; x possible: yes; x unique most probable: yes; next result guaranteed x: no.",
      "Claim true: no; x possible: yes; x unique most probable: no; next result guaranteed x: yes.",
      "Claim true: no; x possible: yes; x unique most probable: no; next result guaranteed x: no.",
      "Claim true: no; x possible: no; x unique most probable: yes; next result guaranteed x: yes.",
      "Claim true: no; x possible: no; x unique most probable: yes; next result guaranteed x: no.",
      "Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: yes.",
      "Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: no."
    ],
    "answer": "Claim true: yes; x possible: yes; x unique most probable: yes; next result guaranteed x: no.",
    "settlement_stratum": "likeliest-outcome",
    "domain": "retry count",
    "boundary": "aggregate-paths",
    "variant": 0,
    "oracle": {
      "mean": "4",
      "modes": [
        "4"
      ],
      "value": "4",
      "flags": [
        true,
        true,
        true,
        false
      ],
      "masses": {
        "0": "1/5",
        "4": "3/5",
        "8": "1/5"
      }
    }
  },
  {
    "id": "outcome-careful-outcome-full-177",
    "english": "Shared definition supplied once for this stateless question: x is mean-outcome(D) asserts that x equals the probability-weighted arithmetic mean under D. x is likeliest-outcome(D) asserts that x has the highest aggregated outcome mass under D, with ties allowed. These definitions also govern the corresponding English phrases. They do not guarantee a trial result or certify the model. Fictional retry count model D598, version v3 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive, exact rational masses, not rounded observations: value 1 units with mass 1/5; value 5 units with mass 3/10; value 5 units with mass 3/10; value 9 units with mass 1/5. Add masses of paths with the same value. Mean is the probability-weighted arithmetic mean; most probable compares aggregated value masses and allows ties. Here x = 6 units. No claim that the model is correct or guarantees a trial is supplied. Statement: Under D598, 6 units has the highest outcome probability, ties allowed.",
    "ainglish": "Shared definition supplied once for this stateless question: x is mean-outcome(D) asserts that x equals the probability-weighted arithmetic mean under D. x is likeliest-outcome(D) asserts that x has the highest aggregated outcome mass under D, with ties allowed. These definitions also govern the corresponding English phrases. They do not guarantee a trial result or certify the model. Fictional retry count model D598, version v3 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive, exact rational masses, not rounded observations: value 1 units with mass 1/5; value 5 units with mass 3/10; value 5 units with mass 3/10; value 9 units with mass 1/5. Add masses of paths with the same value. Mean is the probability-weighted arithmetic mean; most probable compares aggregated value masses and allows ties. Here x = 6 units. No claim that the model is correct or guarantees a trial is supplied. Statement: 6 units is likeliest-outcome(D598).",
    "question": "Evaluate the claim, whether x can actually occur, whether x alone is most probable, and whether the next result is guaranteed to equal x.",
    "options": [
      "Claim true: yes; x possible: yes; x unique most probable: yes; next result guaranteed x: yes.",
      "Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: no.",
      "Claim true: yes; x possible: yes; x unique most probable: yes; next result guaranteed x: no.",
      "Claim true: yes; x possible: yes; x unique most probable: no; next result guaranteed x: yes.",
      "Claim true: yes; x possible: yes; x unique most probable: no; next result guaranteed x: no.",
      "Claim true: yes; x possible: no; x unique most probable: yes; next result guaranteed x: yes.",
      "Claim true: yes; x possible: no; x unique most probable: yes; next result guaranteed x: no.",
      "Claim true: yes; x possible: no; x unique most probable: no; next result guaranteed x: yes.",
      "Claim true: yes; x possible: no; x unique most probable: no; next result guaranteed x: no.",
      "Claim true: no; x possible: yes; x unique most probable: yes; next result guaranteed x: yes.",
      "Claim true: no; x possible: yes; x unique most probable: yes; next result guaranteed x: no.",
      "Claim true: no; x possible: yes; x unique most probable: no; next result guaranteed x: yes.",
      "Claim true: no; x possible: yes; x unique most probable: no; next result guaranteed x: no.",
      "Claim true: no; x possible: no; x unique most probable: yes; next result guaranteed x: yes.",
      "Claim true: no; x possible: no; x unique most probable: yes; next result guaranteed x: no.",
      "Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: yes."
    ],
    "answer": "Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: no.",
    "settlement_stratum": "likeliest-outcome",
    "domain": "retry count",
    "boundary": "aggregate-paths",
    "variant": 1,
    "oracle": {
      "mean": "5",
      "modes": [
        "5"
      ],
      "value": "6",
      "flags": [
        false,
        false,
        false,
        false
      ],
      "masses": {
        "1": "1/5",
        "5": "3/5",
        "9": "1/5"
      }
    }
  },
  {
    "id": "outcome-careful-outcome-full-178",
    "english": "Shared definition supplied once for this stateless question: x is mean-outcome(D) asserts that x equals the probability-weighted arithmetic mean under D. x is likeliest-outcome(D) asserts that x has the highest aggregated outcome mass under D, with ties allowed. These definitions also govern the corresponding English phrases. They do not guarantee a trial result or certify the model. Fictional retry count model D599, version v3 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive, exact rational masses, not rounded observations: value 2 units with mass 1/5; value 6 units with mass 3/10; value 6 units with mass 3/10; value 10 units with mass 1/5. Add masses of paths with the same value. Mean is the probability-weighted arithmetic mean; most probable compares aggregated value masses and allows ties. Here x = 6 units. No claim that the model is correct or guarantees a trial is supplied. Statement: Under D599, 6 units has the highest outcome probability, ties allowed.",
    "ainglish": "Shared definition supplied once for this stateless question: x is mean-outcome(D) asserts that x equals the probability-weighted arithmetic mean under D. x is likeliest-outcome(D) asserts that x has the highest aggregated outcome mass under D, with ties allowed. These definitions also govern the corresponding English phrases. They do not guarantee a trial result or certify the model. Fictional retry count model D599, version v3 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive, exact rational masses, not rounded observations: value 2 units with mass 1/5; value 6 units with mass 3/10; value 6 units with mass 3/10; value 10 units with mass 1/5. Add masses of paths with the same value. Mean is the probability-weighted arithmetic mean; most probable compares aggregated value masses and allows ties. Here x = 6 units. No claim that the model is correct or guarantees a trial is supplied. Statement: 6 units is likeliest-outcome(D599).",
    "question": "Evaluate the claim, whether x can actually occur, whether x alone is most probable, and whether the next result is guaranteed to equal x.",
    "options": [
      "Claim true: yes; x possible: yes; x unique most probable: yes; next result guaranteed x: yes.",
      "Claim true: yes; x possible: yes; x unique most probable: no; next result guaranteed x: yes.",
      "Claim true: yes; x possible: yes; x unique most probable: yes; next result guaranteed x: no.",
      "Claim true: yes; x possible: yes; x unique most probable: no; next result guaranteed x: no.",
      "Claim true: yes; x possible: no; x unique most probable: yes; next result guaranteed x: yes.",
      "Claim true: yes; x possible: no; x unique most probable: yes; next result guaranteed x: no.",
      "Claim true: yes; x possible: no; x unique most probable: no; next result guaranteed x: yes.",
      "Claim true: yes; x possible: no; x unique most probable: no; next result guaranteed x: no.",
      "Claim true: no; x possible: yes; x unique most probable: yes; next result guaranteed x: yes.",
      "Claim true: no; x possible: yes; x unique most probable: yes; next result guaranteed x: no.",
      "Claim true: no; x possible: yes; x unique most probable: no; next result guaranteed x: yes.",
      "Claim true: no; x possible: yes; x unique most probable: no; next result guaranteed x: no.",
      "Claim true: no; x possible: no; x unique most probable: yes; next result guaranteed x: yes.",
      "Claim true: no; x possible: no; x unique most probable: yes; next result guaranteed x: no.",
      "Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: yes.",
      "Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: no."
    ],
    "answer": "Claim true: yes; x possible: yes; x unique most probable: yes; next result guaranteed x: no.",
    "settlement_stratum": "likeliest-outcome",
    "domain": "retry count",
    "boundary": "aggregate-paths",
    "variant": 2,
    "oracle": {
      "mean": "6",
      "modes": [
        "6"
      ],
      "value": "6",
      "flags": [
        true,
        true,
        true,
        false
      ],
      "masses": {
        "2": "1/5",
        "6": "3/5",
        "10": "1/5"
      }
    }
  },
  {
    "id": "outcome-careful-outcome-full-179",
    "english": "Shared definition supplied once for this stateless question: x is mean-outcome(D) asserts that x equals the probability-weighted arithmetic mean under D. x is likeliest-outcome(D) asserts that x has the highest aggregated outcome mass under D, with ties allowed. These definitions also govern the corresponding English phrases. They do not guarantee a trial result or certify the model. Fictional retry count model D600, version v3 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive, exact rational masses, not rounded observations: value 3 units with mass 1/5; value 7 units with mass 3/10; value 7 units with mass 3/10; value 11 units with mass 1/5. Add masses of paths with the same value. Mean is the probability-weighted arithmetic mean; most probable compares aggregated value masses and allows ties. Here x = 8 units. No claim that the model is correct or guarantees a trial is supplied. Statement: Under D600, 8 units has the highest outcome probability, ties allowed.",
    "ainglish": "Shared definition supplied once for this stateless question: x is mean-outcome(D) asserts that x equals the probability-weighted arithmetic mean under D. x is likeliest-outcome(D) asserts that x has the highest aggregated outcome mass under D, with ties allowed. These definitions also govern the corresponding English phrases. They do not guarantee a trial result or certify the model. Fictional retry count model D600, version v3 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive, exact rational masses, not rounded observations: value 3 units with mass 1/5; value 7 units with mass 3/10; value 7 units with mass 3/10; value 11 units with mass 1/5. Add masses of paths with the same value. Mean is the probability-weighted arithmetic mean; most probable compares aggregated value masses and allows ties. Here x = 8 units. No claim that the model is correct or guarantees a trial is supplied. Statement: 8 units is likeliest-outcome(D600).",
    "question": "Evaluate the claim, whether x can actually occur, whether x alone is most probable, and whether the next result is guaranteed to equal x.",
    "options": [
      "Claim true: yes; x possible: yes; x unique most probable: yes; next result guaranteed x: yes.",
      "Claim true: yes; x possible: yes; x unique most probable: yes; next result guaranteed x: no.",
      "Claim true: yes; x possible: yes; x unique most probable: no; next result guaranteed x: yes.",
      "Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: no.",
      "Claim true: yes; x possible: yes; x unique most probable: no; next result guaranteed x: no.",
      "Claim true: yes; x possible: no; x unique most probable: yes; next result guaranteed x: yes.",
      "Claim true: yes; x possible: no; x unique most probable: yes; next result guaranteed x: no.",
      "Claim true: yes; x possible: no; x unique most probable: no; next result guaranteed x: yes.",
      "Claim true: yes; x possible: no; x unique most probable: no; next result guaranteed x: no.",
      "Claim true: no; x possible: yes; x unique most probable: yes; next result guaranteed x: yes.",
      "Claim true: no; x possible: yes; x unique most probable: yes; next result guaranteed x: no.",
      "Claim true: no; x possible: yes; x unique most probable: no; next result guaranteed x: yes.",
      "Claim true: no; x possible: yes; x unique most probable: no; next result guaranteed x: no.",
      "Claim true: no; x possible: no; x unique most probable: yes; next result guaranteed x: yes.",
      "Claim true: no; x possible: no; x unique most probable: yes; next result guaranteed x: no.",
      "Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: yes."
    ],
    "answer": "Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: no.",
    "settlement_stratum": "likeliest-outcome",
    "domain": "retry count",
    "boundary": "aggregate-paths",
    "variant": 3,
    "oracle": {
      "mean": "7",
      "modes": [
        "7"
      ],
      "value": "8",
      "flags": [
        false,
        false,
        false,
        false
      ],
      "masses": {
        "3": "1/5",
        "7": "3/5",
        "11": "1/5"
      }
    }
  },
  {
    "id": "outcome-careful-outcome-full-180",
    "english": "Shared definition supplied once for this stateless question: x is mean-outcome(D) asserts that x equals the probability-weighted arithmetic mean under D. x is likeliest-outcome(D) asserts that x has the highest aggregated outcome mass under D, with ties allowed. These definitions also govern the corresponding English phrases. They do not guarantee a trial result or certify the model. Fictional resource use model D601, version v3 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive, exact rational masses, not rounded observations: value 0 units with mass 1/2; value 6 units with mass 1/2. Add masses of paths with the same value. Mean is the probability-weighted arithmetic mean; most probable compares aggregated value masses and allows ties. Here x = 0 units. No claim that the model is correct or guarantees a trial is supplied. Statement: Under D601, 0 units has the highest outcome probability, ties allowed.",
    "ainglish": "Shared definition supplied once for this stateless question: x is mean-outcome(D) asserts that x equals the probability-weighted arithmetic mean under D. x is likeliest-outcome(D) asserts that x has the highest aggregated outcome mass under D, with ties allowed. These definitions also govern the corresponding English phrases. They do not guarantee a trial result or certify the model. Fictional resource use model D601, version v3 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive, exact rational masses, not rounded observations: value 0 units with mass 1/2; value 6 units with mass 1/2. Add masses of paths with the same value. Mean is the probability-weighted arithmetic mean; most probable compares aggregated value masses and allows ties. Here x = 0 units. No claim that the model is correct or guarantees a trial is supplied. Statement: 0 units is likeliest-outcome(D601).",
    "question": "Evaluate the claim, whether x can actually occur, whether x alone is most probable, and whether the next result is guaranteed to equal x.",
    "options": [
      "Claim true: yes; x possible: yes; x unique most probable: yes; next result guaranteed x: yes.",
      "Claim true: yes; x possible: yes; x unique most probable: yes; next result guaranteed x: no.",
      "Claim true: yes; x possible: yes; x unique most probable: no; next result guaranteed x: yes.",
      "Claim true: yes; x possible: no; x unique most probable: yes; next result guaranteed x: yes.",
      "Claim true: yes; x possible: yes; x unique most probable: no; next result guaranteed x: no.",
      "Claim true: yes; x possible: no; x unique most probable: yes; next result guaranteed x: no.",
      "Claim true: yes; x possible: no; x unique most probable: no; next result guaranteed x: yes.",
      "Claim true: yes; x possible: no; x unique most probable: no; next result guaranteed x: no.",
      "Claim true: no; x possible: yes; x unique most probable: yes; next result guaranteed x: yes.",
      "Claim true: no; x possible: yes; x unique most probable: yes; next result guaranteed x: no.",
      "Claim true: no; x possible: yes; x unique most probable: no; next result guaranteed x: yes.",
      "Claim true: no; x possible: yes; x unique most probable: no; next result guaranteed x: no.",
      "Claim true: no; x possible: no; x unique most probable: yes; next result guaranteed x: yes.",
      "Claim true: no; x possible: no; x unique most probable: yes; next result guaranteed x: no.",
      "Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: yes.",
      "Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: no."
    ],
    "answer": "Claim true: yes; x possible: yes; x unique most probable: no; next result guaranteed x: no.",
    "settlement_stratum": "likeliest-outcome",
    "domain": "resource use",
    "boundary": "mean-outside",
    "variant": 0,
    "oracle": {
      "mean": "3",
      "modes": [
        "0",
        "6"
      ],
      "value": "0",
      "flags": [
        true,
        true,
        false,
        false
      ],
      "masses": {
        "0": "1/2",
        "6": "1/2"
      }
    }
  },
  {
    "id": "outcome-careful-outcome-full-181",
    "english": "Shared definition supplied once for this stateless question: x is mean-outcome(D) asserts that x equals the probability-weighted arithmetic mean under D. x is likeliest-outcome(D) asserts that x has the highest aggregated outcome mass under D, with ties allowed. These definitions also govern the corresponding English phrases. They do not guarantee a trial result or certify the model. Fictional resource use model D602, version v3 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive, exact rational masses, not rounded observations: value 1 units with mass 1/2; value 7 units with mass 1/2. Add masses of paths with the same value. Mean is the probability-weighted arithmetic mean; most probable compares aggregated value masses and allows ties. Here x = 2 units. No claim that the model is correct or guarantees a trial is supplied. Statement: Under D602, 2 units has the highest outcome probability, ties allowed.",
    "ainglish": "Shared definition supplied once for this stateless question: x is mean-outcome(D) asserts that x equals the probability-weighted arithmetic mean under D. x is likeliest-outcome(D) asserts that x has the highest aggregated outcome mass under D, with ties allowed. These definitions also govern the corresponding English phrases. They do not guarantee a trial result or certify the model. Fictional resource use model D602, version v3 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive, exact rational masses, not rounded observations: value 1 units with mass 1/2; value 7 units with mass 1/2. Add masses of paths with the same value. Mean is the probability-weighted arithmetic mean; most probable compares aggregated value masses and allows ties. Here x = 2 units. No claim that the model is correct or guarantees a trial is supplied. Statement: 2 units is likeliest-outcome(D602).",
    "question": "Evaluate the claim, whether x can actually occur, whether x alone is most probable, and whether the next result is guaranteed to equal x.",
    "options": [
      "Claim true: yes; x possible: yes; x unique most probable: yes; next result guaranteed x: yes.",
      "Claim true: yes; x possible: yes; x unique most probable: yes; next result guaranteed x: no.",
      "Claim true: yes; x possible: yes; x unique most probable: no; next result guaranteed x: yes.",
      "Claim true: yes; x possible: yes; x unique most probable: no; next result guaranteed x: no.",
      "Claim true: yes; x possible: no; x unique most probable: yes; next result guaranteed x: yes.",
      "Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: no.",
      "Claim true: yes; x possible: no; x unique most probable: yes; next result guaranteed x: no.",
      "Claim true: yes; x possible: no; x unique most probable: no; next result guaranteed x: yes.",
      "Claim true: yes; x possible: no; x unique most probable: no; next result guaranteed x: no.",
      "Claim true: no; x possible: yes; x unique most probable: yes; next result guaranteed x: yes.",
      "Claim true: no; x possible: yes; x unique most probable: yes; next result guaranteed x: no.",
      "Claim true: no; x possible: yes; x unique most probable: no; next result guaranteed x: yes.",
      "Claim true: no; x possible: yes; x unique most probable: no; next result guaranteed x: no.",
      "Claim true: no; x possible: no; x unique most probable: yes; next result guaranteed x: yes.",
      "Claim true: no; x possible: no; x unique most probable: yes; next result guaranteed x: no.",
      "Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: yes."
    ],
    "answer": "Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: no.",
    "settlement_stratum": "likeliest-outcome",
    "domain": "resource use",
    "boundary": "mean-outside",
    "variant": 1,
    "oracle": {
      "mean": "4",
      "modes": [
        "1",
        "7"
      ],
      "value": "2",
      "flags": [
        false,
        false,
        false,
        false
      ],
      "masses": {
        "1": "1/2",
        "7": "1/2"
      }
    }
  },
  {
    "id": "outcome-careful-outcome-full-182",
    "english": "Shared definition supplied once for this stateless question: x is mean-outcome(D) asserts that x equals the probability-weighted arithmetic mean under D. x is likeliest-outcome(D) asserts that x has the highest aggregated outcome mass under D, with ties allowed. These definitions also govern the corresponding English phrases. They do not guarantee a trial result or certify the model. Fictional resource use model D603, version v3 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive, exact rational masses, not rounded observations: value 2 units with mass 1/2; value 8 units with mass 1/2. Add masses of paths with the same value. Mean is the probability-weighted arithmetic mean; most probable compares aggregated value masses and allows ties. Here x = 2 units. No claim that the model is correct or guarantees a trial is supplied. Statement: Under D603, 2 units has the highest outcome probability, ties allowed.",
    "ainglish": "Shared definition supplied once for this stateless question: x is mean-outcome(D) asserts that x equals the probability-weighted arithmetic mean under D. x is likeliest-outcome(D) asserts that x has the highest aggregated outcome mass under D, with ties allowed. These definitions also govern the corresponding English phrases. They do not guarantee a trial result or certify the model. Fictional resource use model D603, version v3 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive, exact rational masses, not rounded observations: value 2 units with mass 1/2; value 8 units with mass 1/2. Add masses of paths with the same value. Mean is the probability-weighted arithmetic mean; most probable compares aggregated value masses and allows ties. Here x = 2 units. No claim that the model is correct or guarantees a trial is supplied. Statement: 2 units is likeliest-outcome(D603).",
    "question": "Evaluate the claim, whether x can actually occur, whether x alone is most probable, and whether the next result is guaranteed to equal x.",
    "options": [
      "Claim true: yes; x possible: yes; x unique most probable: yes; next result guaranteed x: yes.",
      "Claim true: yes; x possible: yes; x unique most probable: yes; next result guaranteed x: no.",
      "Claim true: yes; x possible: yes; x unique most probable: no; next result guaranteed x: yes.",
      "Claim true: yes; x possible: no; x unique most probable: yes; next result guaranteed x: yes.",
      "Claim true: yes; x possible: no; x unique most probable: yes; next result guaranteed x: no.",
      "Claim true: yes; x possible: no; x unique most probable: no; next result guaranteed x: yes.",
      "Claim true: yes; x possible: yes; x unique most probable: no; next result guaranteed x: no.",
      "Claim true: yes; x possible: no; x unique most probable: no; next result guaranteed x: no.",
      "Claim true: no; x possible: yes; x unique most probable: yes; next result guaranteed x: yes.",
      "Claim true: no; x possible: yes; x unique most probable: yes; next result guaranteed x: no.",
      "Claim true: no; x possible: yes; x unique most probable: no; next result guaranteed x: yes.",
      "Claim true: no; x possible: yes; x unique most probable: no; next result guaranteed x: no.",
      "Claim true: no; x possible: no; x unique most probable: yes; next result guaranteed x: yes.",
      "Claim true: no; x possible: no; x unique most probable: yes; next result guaranteed x: no.",
      "Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: yes.",
      "Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: no."
    ],
    "answer": "Claim true: yes; x possible: yes; x unique most probable: no; next result guaranteed x: no.",
    "settlement_stratum": "likeliest-outcome",
    "domain": "resource use",
    "boundary": "mean-outside",
    "variant": 2,
    "oracle": {
      "mean": "5",
      "modes": [
        "2",
        "8"
      ],
      "value": "2",
      "flags": [
        true,
        true,
        false,
        false
      ],
      "masses": {
        "2": "1/2",
        "8": "1/2"
      }
    }
  },
  {
    "id": "outcome-careful-outcome-full-183",
    "english": "Shared definition supplied once for this stateless question: x is mean-outcome(D) asserts that x equals the probability-weighted arithmetic mean under D. x is likeliest-outcome(D) asserts that x has the highest aggregated outcome mass under D, with ties allowed. These definitions also govern the corresponding English phrases. They do not guarantee a trial result or certify the model. Fictional resource use model D604, version v3 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive, exact rational masses, not rounded observations: value 3 units with mass 1/2; value 9 units with mass 1/2. Add masses of paths with the same value. Mean is the probability-weighted arithmetic mean; most probable compares aggregated value masses and allows ties. Here x = 4 units. No claim that the model is correct or guarantees a trial is supplied. Statement: Under D604, 4 units has the highest outcome probability, ties allowed.",
    "ainglish": "Shared definition supplied once for this stateless question: x is mean-outcome(D) asserts that x equals the probability-weighted arithmetic mean under D. x is likeliest-outcome(D) asserts that x has the highest aggregated outcome mass under D, with ties allowed. These definitions also govern the corresponding English phrases. They do not guarantee a trial result or certify the model. Fictional resource use model D604, version v3 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive, exact rational masses, not rounded observations: value 3 units with mass 1/2; value 9 units with mass 1/2. Add masses of paths with the same value. Mean is the probability-weighted arithmetic mean; most probable compares aggregated value masses and allows ties. Here x = 4 units. No claim that the model is correct or guarantees a trial is supplied. Statement: 4 units is likeliest-outcome(D604).",
    "question": "Evaluate the claim, whether x can actually occur, whether x alone is most probable, and whether the next result is guaranteed to equal x.",
    "options": [
      "Claim true: yes; x possible: yes; x unique most probable: yes; next result guaranteed x: yes.",
      "Claim true: yes; x possible: yes; x unique most probable: yes; next result guaranteed x: no.",
      "Claim true: yes; x possible: yes; x unique most probable: no; next result guaranteed x: yes.",
      "Claim true: yes; x possible: yes; x unique most probable: no; next result guaranteed x: no.",
      "Claim true: yes; x possible: no; x unique most probable: yes; next result guaranteed x: yes.",
      "Claim true: yes; x possible: no; x unique most probable: yes; next result guaranteed x: no.",
      "Claim true: yes; x possible: no; x unique most probable: no; next result guaranteed x: yes.",
      "Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: no.",
      "Claim true: yes; x possible: no; x unique most probable: no; next result guaranteed x: no.",
      "Claim true: no; x possible: yes; x unique most probable: yes; next result guaranteed x: yes.",
      "Claim true: no; x possible: yes; x unique most probable: yes; next result guaranteed x: no.",
      "Claim true: no; x possible: yes; x unique most probable: no; next result guaranteed x: yes.",
      "Claim true: no; x possible: yes; x unique most probable: no; next result guaranteed x: no.",
      "Claim true: no; x possible: no; x unique most probable: yes; next result guaranteed x: yes.",
      "Claim true: no; x possible: no; x unique most probable: yes; next result guaranteed x: no.",
      "Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: yes."
    ],
    "answer": "Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: no.",
    "settlement_stratum": "likeliest-outcome",
    "domain": "resource use",
    "boundary": "mean-outside",
    "variant": 3,
    "oracle": {
      "mean": "6",
      "modes": [
        "3",
        "9"
      ],
      "value": "4",
      "flags": [
        false,
        false,
        false,
        false
      ],
      "masses": {
        "3": "1/2",
        "9": "1/2"
      }
    }
  },
  {
    "id": "outcome-careful-outcome-full-184",
    "english": "Shared definition supplied once for this stateless question: x is mean-outcome(D) asserts that x equals the probability-weighted arithmetic mean under D. x is likeliest-outcome(D) asserts that x has the highest aggregated outcome mass under D, with ties allowed. These definitions also govern the corresponding English phrases. They do not guarantee a trial result or certify the model. Fictional resource use model D605, version v3 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive, exact rational masses, not rounded observations: value 0 units with mass 2/5; value 2 units with mass 3/10; value 5 units with mass 3/10. Add masses of paths with the same value. Mean is the probability-weighted arithmetic mean; most probable compares aggregated value masses and allows ties. Here x = 0 units. No claim that the model is correct or guarantees a trial is supplied. Statement: Under D605, 0 units has the highest outcome probability, ties allowed.",
    "ainglish": "Shared definition supplied once for this stateless question: x is mean-outcome(D) asserts that x equals the probability-weighted arithmetic mean under D. x is likeliest-outcome(D) asserts that x has the highest aggregated outcome mass under D, with ties allowed. These definitions also govern the corresponding English phrases. They do not guarantee a trial result or certify the model. Fictional resource use model D605, version v3 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive, exact rational masses, not rounded observations: value 0 units with mass 2/5; value 2 units with mass 3/10; value 5 units with mass 3/10. Add masses of paths with the same value. Mean is the probability-weighted arithmetic mean; most probable compares aggregated value masses and allows ties. Here x = 0 units. No claim that the model is correct or guarantees a trial is supplied. Statement: 0 units is likeliest-outcome(D605).",
    "question": "Evaluate the claim, whether x can actually occur, whether x alone is most probable, and whether the next result is guaranteed to equal x.",
    "options": [
      "Claim true: yes; x possible: yes; x unique most probable: yes; next result guaranteed x: yes.",
      "Claim true: yes; x possible: yes; x unique most probable: no; next result guaranteed x: yes.",
      "Claim true: yes; x possible: yes; x unique most probable: no; next result guaranteed x: no.",
      "Claim true: yes; x possible: no; x unique most probable: yes; next result guaranteed x: yes.",
      "Claim true: yes; x possible: no; x unique most probable: yes; next result guaranteed x: no.",
      "Claim true: yes; x possible: no; x unique most probable: no; next result guaranteed x: yes.",
      "Claim true: yes; x possible: no; x unique most probable: no; next result guaranteed x: no.",
      "Claim true: no; x possible: yes; x unique most probable: yes; next result guaranteed x: yes.",
      "Claim true: yes; x possible: yes; x unique most probable: yes; next result guaranteed x: no.",
      "Claim true: no; x possible: yes; x unique most probable: yes; next result guaranteed x: no.",
      "Claim true: no; x possible: yes; x unique most probable: no; next result guaranteed x: yes.",
      "Claim true: no; x possible: yes; x unique most probable: no; next result guaranteed x: no.",
      "Claim true: no; x possible: no; x unique most probable: yes; next result guaranteed x: yes.",
      "Claim true: no; x possible: no; x unique most probable: yes; next result guaranteed x: no.",
      "Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: yes.",
      "Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: no."
    ],
    "answer": "Claim true: yes; x possible: yes; x unique most probable: yes; next result guaranteed x: no.",
    "settlement_stratum": "likeliest-outcome",
    "domain": "resource use",
    "boundary": "mode-below-half",
    "variant": 0,
    "oracle": {
      "mean": "21/10",
      "modes": [
        "0"
      ],
      "value": "0",
      "flags": [
        true,
        true,
        true,
        false
      ],
      "masses": {
        "0": "2/5",
        "2": "3/10",
        "5": "3/10"
      }
    }
  },
  {
    "id": "outcome-careful-outcome-full-185",
    "english": "Shared definition supplied once for this stateless question: x is mean-outcome(D) asserts that x equals the probability-weighted arithmetic mean under D. x is likeliest-outcome(D) asserts that x has the highest aggregated outcome mass under D, with ties allowed. These definitions also govern the corresponding English phrases. They do not guarantee a trial result or certify the model. Fictional resource use model D606, version v3 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive, exact rational masses, not rounded observations: value 1 units with mass 2/5; value 3 units with mass 3/10; value 6 units with mass 3/10. Add masses of paths with the same value. Mean is the probability-weighted arithmetic mean; most probable compares aggregated value masses and allows ties. Here x = 2 units. No claim that the model is correct or guarantees a trial is supplied. Statement: Under D606, 2 units has the highest outcome probability, ties allowed.",
    "ainglish": "Shared definition supplied once for this stateless question: x is mean-outcome(D) asserts that x equals the probability-weighted arithmetic mean under D. x is likeliest-outcome(D) asserts that x has the highest aggregated outcome mass under D, with ties allowed. These definitions also govern the corresponding English phrases. They do not guarantee a trial result or certify the model. Fictional resource use model D606, version v3 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive, exact rational masses, not rounded observations: value 1 units with mass 2/5; value 3 units with mass 3/10; value 6 units with mass 3/10. Add masses of paths with the same value. Mean is the probability-weighted arithmetic mean; most probable compares aggregated value masses and allows ties. Here x = 2 units. No claim that the model is correct or guarantees a trial is supplied. Statement: 2 units is likeliest-outcome(D606).",
    "question": "Evaluate the claim, whether x can actually occur, whether x alone is most probable, and whether the next result is guaranteed to equal x.",
    "options": [
      "Claim true: yes; x possible: yes; x unique most probable: yes; next result guaranteed x: yes.",
      "Claim true: yes; x possible: yes; x unique most probable: yes; next result guaranteed x: no.",
      "Claim true: yes; x possible: yes; x unique most probable: no; next result guaranteed x: yes.",
      "Claim true: yes; x possible: yes; x unique most probable: no; next result guaranteed x: no.",
      "Claim true: yes; x possible: no; x unique most probable: yes; next result guaranteed x: yes.",
      "Claim true: yes; x possible: no; x unique most probable: yes; next result guaranteed x: no.",
      "Claim true: yes; x possible: no; x unique most probable: no; next result guaranteed x: yes.",
      "Claim true: yes; x possible: no; x unique most probable: no; next result guaranteed x: no.",
      "Claim true: no; x possible: yes; x unique most probable: yes; next result guaranteed x: yes.",
      "Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: no.",
      "Claim true: no; x possible: yes; x unique most probable: yes; next result guaranteed x: no.",
      "Claim true: no; x possible: yes; x unique most probable: no; next result guaranteed x: yes.",
      "Claim true: no; x possible: yes; x unique most probable: no; next result guaranteed x: no.",
      "Claim true: no; x possible: no; x unique most probable: yes; next result guaranteed x: yes.",
      "Claim true: no; x possible: no; x unique most probable: yes; next result guaranteed x: no.",
      "Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: yes."
    ],
    "answer": "Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: no.",
    "settlement_stratum": "likeliest-outcome",
    "domain": "resource use",
    "boundary": "mode-below-half",
    "variant": 1,
    "oracle": {
      "mean": "31/10",
      "modes": [
        "1"
      ],
      "value": "2",
      "flags": [
        false,
        false,
        false,
        false
      ],
      "masses": {
        "1": "2/5",
        "3": "3/10",
        "6": "3/10"
      }
    }
  },
  {
    "id": "outcome-careful-outcome-full-186",
    "english": "Shared definition supplied once for this stateless question: x is mean-outcome(D) asserts that x equals the probability-weighted arithmetic mean under D. x is likeliest-outcome(D) asserts that x has the highest aggregated outcome mass under D, with ties allowed. These definitions also govern the corresponding English phrases. They do not guarantee a trial result or certify the model. Fictional resource use model D607, version v3 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive, exact rational masses, not rounded observations: value 2 units with mass 2/5; value 4 units with mass 3/10; value 7 units with mass 3/10. Add masses of paths with the same value. Mean is the probability-weighted arithmetic mean; most probable compares aggregated value masses and allows ties. Here x = 2 units. No claim that the model is correct or guarantees a trial is supplied. Statement: Under D607, 2 units has the highest outcome probability, ties allowed.",
    "ainglish": "Shared definition supplied once for this stateless question: x is mean-outcome(D) asserts that x equals the probability-weighted arithmetic mean under D. x is likeliest-outcome(D) asserts that x has the highest aggregated outcome mass under D, with ties allowed. These definitions also govern the corresponding English phrases. They do not guarantee a trial result or certify the model. Fictional resource use model D607, version v3 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive, exact rational masses, not rounded observations: value 2 units with mass 2/5; value 4 units with mass 3/10; value 7 units with mass 3/10. Add masses of paths with the same value. Mean is the probability-weighted arithmetic mean; most probable compares aggregated value masses and allows ties. Here x = 2 units. No claim that the model is correct or guarantees a trial is supplied. Statement: 2 units is likeliest-outcome(D607).",
    "question": "Evaluate the claim, whether x can actually occur, whether x alone is most probable, and whether the next result is guaranteed to equal x.",
    "options": [
      "Claim true: yes; x possible: yes; x unique most probable: yes; next result guaranteed x: yes.",
      "Claim true: yes; x possible: yes; x unique most probable: no; next result guaranteed x: yes.",
      "Claim true: yes; x possible: yes; x unique most probable: no; next result guaranteed x: no.",
      "Claim true: yes; x possible: no; x unique most probable: yes; next result guaranteed x: yes.",
      "Claim true: yes; x possible: no; x unique most probable: yes; next result guaranteed x: no.",
      "Claim true: yes; x possible: no; x unique most probable: no; next result guaranteed x: yes.",
      "Claim true: yes; x possible: no; x unique most probable: no; next result guaranteed x: no.",
      "Claim true: no; x possible: yes; x unique most probable: yes; next result guaranteed x: yes.",
      "Claim true: no; x possible: yes; x unique most probable: yes; next result guaranteed x: no.",
      "Claim true: no; x possible: yes; x unique most probable: no; next result guaranteed x: yes.",
      "Claim true: yes; x possible: yes; x unique most probable: yes; next result guaranteed x: no.",
      "Claim true: no; x possible: yes; x unique most probable: no; next result guaranteed x: no.",
      "Claim true: no; x possible: no; x unique most probable: yes; next result guaranteed x: yes.",
      "Claim true: no; x possible: no; x unique most probable: yes; next result guaranteed x: no.",
      "Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: yes.",
      "Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: no."
    ],
    "answer": "Claim true: yes; x possible: yes; x unique most probable: yes; next result guaranteed x: no.",
    "settlement_stratum": "likeliest-outcome",
    "domain": "resource use",
    "boundary": "mode-below-half",
    "variant": 2,
    "oracle": {
      "mean": "41/10",
      "modes": [
        "2"
      ],
      "value": "2",
      "flags": [
        true,
        true,
        true,
        false
      ],
      "masses": {
        "2": "2/5",
        "4": "3/10",
        "7": "3/10"
      }
    }
  },
  {
    "id": "outcome-careful-outcome-full-187",
    "english": "Shared definition supplied once for this stateless question: x is mean-outcome(D) asserts that x equals the probability-weighted arithmetic mean under D. x is likeliest-outcome(D) asserts that x has the highest aggregated outcome mass under D, with ties allowed. These definitions also govern the corresponding English phrases. They do not guarantee a trial result or certify the model. Fictional resource use model D608, version v3 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive, exact rational masses, not rounded observations: value 3 units with mass 2/5; value 5 units with mass 3/10; value 8 units with mass 3/10. Add masses of paths with the same value. Mean is the probability-weighted arithmetic mean; most probable compares aggregated value masses and allows ties. Here x = 4 units. No claim that the model is correct or guarantees a trial is supplied. Statement: Under D608, 4 units has the highest outcome probability, ties allowed.",
    "ainglish": "Shared definition supplied once for this stateless question: x is mean-outcome(D) asserts that x equals the probability-weighted arithmetic mean under D. x is likeliest-outcome(D) asserts that x has the highest aggregated outcome mass under D, with ties allowed. These definitions also govern the corresponding English phrases. They do not guarantee a trial result or certify the model. Fictional resource use model D608, version v3 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive, exact rational masses, not rounded observations: value 3 units with mass 2/5; value 5 units with mass 3/10; value 8 units with mass 3/10. Add masses of paths with the same value. Mean is the probability-weighted arithmetic mean; most probable compares aggregated value masses and allows ties. Here x = 4 units. No claim that the model is correct or guarantees a trial is supplied. Statement: 4 units is likeliest-outcome(D608).",
    "question": "Evaluate the claim, whether x can actually occur, whether x alone is most probable, and whether the next result is guaranteed to equal x.",
    "options": [
      "Claim true: yes; x possible: yes; x unique most probable: yes; next result guaranteed x: yes.",
      "Claim true: yes; x possible: yes; x unique most probable: yes; next result guaranteed x: no.",
      "Claim true: yes; x possible: yes; x unique most probable: no; next result guaranteed x: yes.",
      "Claim true: yes; x possible: yes; x unique most probable: no; next result guaranteed x: no.",
      "Claim true: yes; x possible: no; x unique most probable: yes; next result guaranteed x: yes.",
      "Claim true: yes; x possible: no; x unique most probable: yes; next result guaranteed x: no.",
      "Claim true: yes; x possible: no; x unique most probable: no; next result guaranteed x: yes.",
      "Claim true: yes; x possible: no; x unique most probable: no; next result guaranteed x: no.",
      "Claim true: no; x possible: yes; x unique most probable: yes; next result guaranteed x: yes.",
      "Claim true: no; x possible: yes; x unique most probable: yes; next result guaranteed x: no.",
      "Claim true: no; x possible: yes; x unique most probable: no; next result guaranteed x: yes.",
      "Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: no.",
      "Claim true: no; x possible: yes; x unique most probable: no; next result guaranteed x: no.",
      "Claim true: no; x possible: no; x unique most probable: yes; next result guaranteed x: yes.",
      "Claim true: no; x possible: no; x unique most probable: yes; next result guaranteed x: no.",
      "Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: yes."
    ],
    "answer": "Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: no.",
    "settlement_stratum": "likeliest-outcome",
    "domain": "resource use",
    "boundary": "mode-below-half",
    "variant": 3,
    "oracle": {
      "mean": "51/10",
      "modes": [
        "3"
      ],
      "value": "4",
      "flags": [
        false,
        false,
        false,
        false
      ],
      "masses": {
        "3": "2/5",
        "5": "3/10",
        "8": "3/10"
      }
    }
  },
  {
    "id": "outcome-careful-outcome-full-188",
    "english": "Shared definition supplied once for this stateless question: x is mean-outcome(D) asserts that x equals the probability-weighted arithmetic mean under D. x is likeliest-outcome(D) asserts that x has the highest aggregated outcome mass under D, with ties allowed. These definitions also govern the corresponding English phrases. They do not guarantee a trial result or certify the model. Fictional resource use model D609, version v3 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive, exact rational masses, not rounded observations: value 1 units with mass 2/5; value 3 units with mass 2/5; value 7 units with mass 1/5. Add masses of paths with the same value. Mean is the probability-weighted arithmetic mean; most probable compares aggregated value masses and allows ties. Here x = 1 units. No claim that the model is correct or guarantees a trial is supplied. Statement: Under D609, 1 units has the highest outcome probability, ties allowed.",
    "ainglish": "Shared definition supplied once for this stateless question: x is mean-outcome(D) asserts that x equals the probability-weighted arithmetic mean under D. x is likeliest-outcome(D) asserts that x has the highest aggregated outcome mass under D, with ties allowed. These definitions also govern the corresponding English phrases. They do not guarantee a trial result or certify the model. Fictional resource use model D609, version v3 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive, exact rational masses, not rounded observations: value 1 units with mass 2/5; value 3 units with mass 2/5; value 7 units with mass 1/5. Add masses of paths with the same value. Mean is the probability-weighted arithmetic mean; most probable compares aggregated value masses and allows ties. Here x = 1 units. No claim that the model is correct or guarantees a trial is supplied. Statement: 1 units is likeliest-outcome(D609).",
    "question": "Evaluate the claim, whether x can actually occur, whether x alone is most probable, and whether the next result is guaranteed to equal x.",
    "options": [
      "Claim true: yes; x possible: yes; x unique most probable: yes; next result guaranteed x: yes.",
      "Claim true: yes; x possible: yes; x unique most probable: yes; next result guaranteed x: no.",
      "Claim true: yes; x possible: yes; x unique most probable: no; next result guaranteed x: yes.",
      "Claim true: yes; x possible: no; x unique most probable: yes; next result guaranteed x: yes.",
      "Claim true: yes; x possible: no; x unique most probable: yes; next result guaranteed x: no.",
      "Claim true: yes; x possible: no; x unique most probable: no; next result guaranteed x: yes.",
      "Claim true: yes; x possible: no; x unique most probable: no; next result guaranteed x: no.",
      "Claim true: no; x possible: yes; x unique most probable: yes; next result guaranteed x: yes.",
      "Claim true: no; x possible: yes; x unique most probable: yes; next result guaranteed x: no.",
      "Claim true: no; x possible: yes; x unique most probable: no; next result guaranteed x: yes.",
      "Claim true: no; x possible: yes; x unique most probable: no; next result guaranteed x: no.",
      "Claim true: no; x possible: no; x unique most probable: yes; next result guaranteed x: yes.",
      "Claim true: yes; x possible: yes; x unique most probable: no; next result guaranteed x: no.",
      "Claim true: no; x possible: no; x unique most probable: yes; next result guaranteed x: no.",
      "Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: yes.",
      "Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: no."
    ],
    "answer": "Claim true: yes; x possible: yes; x unique most probable: no; next result guaranteed x: no.",
    "settlement_stratum": "likeliest-outcome",
    "domain": "resource use",
    "boundary": "tied-modes",
    "variant": 0,
    "oracle": {
      "mean": "3",
      "modes": [
        "1",
        "3"
      ],
      "value": "1",
      "flags": [
        true,
        true,
        false,
        false
      ],
      "masses": {
        "1": "2/5",
        "3": "2/5",
        "7": "1/5"
      }
    }
  },
  {
    "id": "outcome-careful-outcome-full-189",
    "english": "Shared definition supplied once for this stateless question: x is mean-outcome(D) asserts that x equals the probability-weighted arithmetic mean under D. x is likeliest-outcome(D) asserts that x has the highest aggregated outcome mass under D, with ties allowed. These definitions also govern the corresponding English phrases. They do not guarantee a trial result or certify the model. Fictional resource use model D610, version v3 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive, exact rational masses, not rounded observations: value 2 units with mass 2/5; value 4 units with mass 2/5; value 8 units with mass 1/5. Add masses of paths with the same value. Mean is the probability-weighted arithmetic mean; most probable compares aggregated value masses and allows ties. Here x = 3 units. No claim that the model is correct or guarantees a trial is supplied. Statement: Under D610, 3 units has the highest outcome probability, ties allowed.",
    "ainglish": "Shared definition supplied once for this stateless question: x is mean-outcome(D) asserts that x equals the probability-weighted arithmetic mean under D. x is likeliest-outcome(D) asserts that x has the highest aggregated outcome mass under D, with ties allowed. These definitions also govern the corresponding English phrases. They do not guarantee a trial result or certify the model. Fictional resource use model D610, version v3 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive, exact rational masses, not rounded observations: value 2 units with mass 2/5; value 4 units with mass 2/5; value 8 units with mass 1/5. Add masses of paths with the same value. Mean is the probability-weighted arithmetic mean; most probable compares aggregated value masses and allows ties. Here x = 3 units. No claim that the model is correct or guarantees a trial is supplied. Statement: 3 units is likeliest-outcome(D610).",
    "question": "Evaluate the claim, whether x can actually occur, whether x alone is most probable, and whether the next result is guaranteed to equal x.",
    "options": [
      "Claim true: yes; x possible: yes; x unique most probable: yes; next result guaranteed x: yes.",
      "Claim true: yes; x possible: yes; x unique most probable: yes; next result guaranteed x: no.",
      "Claim true: yes; x possible: yes; x unique most probable: no; next result guaranteed x: yes.",
      "Claim true: yes; x possible: yes; x unique most probable: no; next result guaranteed x: no.",
      "Claim true: yes; x possible: no; x unique most probable: yes; next result guaranteed x: yes.",
      "Claim true: yes; x possible: no; x unique most probable: yes; next result guaranteed x: no.",
      "Claim true: yes; x possible: no; x unique most probable: no; next result guaranteed x: yes.",
      "Claim true: yes; x possible: no; x unique most probable: no; next result guaranteed x: no.",
      "Claim true: no; x possible: yes; x unique most probable: yes; next result guaranteed x: yes.",
      "Claim true: no; x possible: yes; x unique most probable: yes; next result guaranteed x: no.",
      "Claim true: no; x possible: yes; x unique most probable: no; next result guaranteed x: yes.",
      "Claim true: no; x possible: yes; x unique most probable: no; next result guaranteed x: no.",
      "Claim true: no; x possible: no; x unique most probable: yes; next result guaranteed x: yes.",
      "Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: no.",
      "Claim true: no; x possible: no; x unique most probable: yes; next result guaranteed x: no.",
      "Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: yes."
    ],
    "answer": "Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: no.",
    "settlement_stratum": "likeliest-outcome",
    "domain": "resource use",
    "boundary": "tied-modes",
    "variant": 1,
    "oracle": {
      "mean": "4",
      "modes": [
        "2",
        "4"
      ],
      "value": "3",
      "flags": [
        false,
        false,
        false,
        false
      ],
      "masses": {
        "2": "2/5",
        "4": "2/5",
        "8": "1/5"
      }
    }
  },
  {
    "id": "outcome-careful-outcome-full-190",
    "english": "Shared definition supplied once for this stateless question: x is mean-outcome(D) asserts that x equals the probability-weighted arithmetic mean under D. x is likeliest-outcome(D) asserts that x has the highest aggregated outcome mass under D, with ties allowed. These definitions also govern the corresponding English phrases. They do not guarantee a trial result or certify the model. Fictional resource use model D611, version v3 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive, exact rational masses, not rounded observations: value 3 units with mass 2/5; value 5 units with mass 2/5; value 9 units with mass 1/5. Add masses of paths with the same value. Mean is the probability-weighted arithmetic mean; most probable compares aggregated value masses and allows ties. Here x = 3 units. No claim that the model is correct or guarantees a trial is supplied. Statement: Under D611, 3 units has the highest outcome probability, ties allowed.",
    "ainglish": "Shared definition supplied once for this stateless question: x is mean-outcome(D) asserts that x equals the probability-weighted arithmetic mean under D. x is likeliest-outcome(D) asserts that x has the highest aggregated outcome mass under D, with ties allowed. These definitions also govern the corresponding English phrases. They do not guarantee a trial result or certify the model. Fictional resource use model D611, version v3 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive, exact rational masses, not rounded observations: value 3 units with mass 2/5; value 5 units with mass 2/5; value 9 units with mass 1/5. Add masses of paths with the same value. Mean is the probability-weighted arithmetic mean; most probable compares aggregated value masses and allows ties. Here x = 3 units. No claim that the model is correct or guarantees a trial is supplied. Statement: 3 units is likeliest-outcome(D611).",
    "question": "Evaluate the claim, whether x can actually occur, whether x alone is most probable, and whether the next result is guaranteed to equal x.",
    "options": [
      "Claim true: yes; x possible: yes; x unique most probable: yes; next result guaranteed x: yes.",
      "Claim true: yes; x possible: yes; x unique most probable: yes; next result guaranteed x: no.",
      "Claim true: yes; x possible: yes; x unique most probable: no; next result guaranteed x: yes.",
      "Claim true: yes; x possible: no; x unique most probable: yes; next result guaranteed x: yes.",
      "Claim true: yes; x possible: no; x unique most probable: yes; next result guaranteed x: no.",
      "Claim true: yes; x possible: no; x unique most probable: no; next result guaranteed x: yes.",
      "Claim true: yes; x possible: no; x unique most probable: no; next result guaranteed x: no.",
      "Claim true: no; x possible: yes; x unique most probable: yes; next result guaranteed x: yes.",
      "Claim true: no; x possible: yes; x unique most probable: yes; next result guaranteed x: no.",
      "Claim true: no; x possible: yes; x unique most probable: no; next result guaranteed x: yes.",
      "Claim true: no; x possible: yes; x unique most probable: no; next result guaranteed x: no.",
      "Claim true: no; x possible: no; x unique most probable: yes; next result guaranteed x: yes.",
      "Claim true: no; x possible: no; x unique most probable: yes; next result guaranteed x: no.",
      "Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: yes.",
      "Claim true: yes; x possible: yes; x unique most probable: no; next result guaranteed x: no.",
      "Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: no."
    ],
    "answer": "Claim true: yes; x possible: yes; x unique most probable: no; next result guaranteed x: no.",
    "settlement_stratum": "likeliest-outcome",
    "domain": "resource use",
    "boundary": "tied-modes",
    "variant": 2,
    "oracle": {
      "mean": "5",
      "modes": [
        "3",
        "5"
      ],
      "value": "3",
      "flags": [
        true,
        true,
        false,
        false
      ],
      "masses": {
        "3": "2/5",
        "5": "2/5",
        "9": "1/5"
      }
    }
  },
  {
    "id": "outcome-careful-outcome-full-191",
    "english": "Shared definition supplied once for this stateless question: x is mean-outcome(D) asserts that x equals the probability-weighted arithmetic mean under D. x is likeliest-outcome(D) asserts that x has the highest aggregated outcome mass under D, with ties allowed. These definitions also govern the corresponding English phrases. They do not guarantee a trial result or certify the model. Fictional resource use model D612, version v3 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive, exact rational masses, not rounded observations: value 4 units with mass 2/5; value 6 units with mass 2/5; value 10 units with mass 1/5. Add masses of paths with the same value. Mean is the probability-weighted arithmetic mean; most probable compares aggregated value masses and allows ties. Here x = 5 units. No claim that the model is correct or guarantees a trial is supplied. Statement: Under D612, 5 units has the highest outcome probability, ties allowed.",
    "ainglish": "Shared definition supplied once for this stateless question: x is mean-outcome(D) asserts that x equals the probability-weighted arithmetic mean under D. x is likeliest-outcome(D) asserts that x has the highest aggregated outcome mass under D, with ties allowed. These definitions also govern the corresponding English phrases. They do not guarantee a trial result or certify the model. Fictional resource use model D612, version v3 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive, exact rational masses, not rounded observations: value 4 units with mass 2/5; value 6 units with mass 2/5; value 10 units with mass 1/5. Add masses of paths with the same value. Mean is the probability-weighted arithmetic mean; most probable compares aggregated value masses and allows ties. Here x = 5 units. No claim that the model is correct or guarantees a trial is supplied. Statement: 5 units is likeliest-outcome(D612).",
    "question": "Evaluate the claim, whether x can actually occur, whether x alone is most probable, and whether the next result is guaranteed to equal x.",
    "options": [
      "Claim true: yes; x possible: yes; x unique most probable: yes; next result guaranteed x: yes.",
      "Claim true: yes; x possible: yes; x unique most probable: yes; next result guaranteed x: no.",
      "Claim true: yes; x possible: yes; x unique most probable: no; next result guaranteed x: yes.",
      "Claim true: yes; x possible: yes; x unique most probable: no; next result guaranteed x: no.",
      "Claim true: yes; x possible: no; x unique most probable: yes; next result guaranteed x: yes.",
      "Claim true: yes; x possible: no; x unique most probable: yes; next result guaranteed x: no.",
      "Claim true: yes; x possible: no; x unique most probable: no; next result guaranteed x: yes.",
      "Claim true: yes; x possible: no; x unique most probable: no; next result guaranteed x: no.",
      "Claim true: no; x possible: yes; x unique most probable: yes; next result guaranteed x: yes.",
      "Claim true: no; x possible: yes; x unique most probable: yes; next result guaranteed x: no.",
      "Claim true: no; x possible: yes; x unique most probable: no; next result guaranteed x: yes.",
      "Claim true: no; x possible: yes; x unique most probable: no; next result guaranteed x: no.",
      "Claim true: no; x possible: no; x unique most probable: yes; next result guaranteed x: yes.",
      "Claim true: no; x possible: no; x unique most probable: yes; next result guaranteed x: no.",
      "Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: yes.",
      "Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: no."
    ],
    "answer": "Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: no.",
    "settlement_stratum": "likeliest-outcome",
    "domain": "resource use",
    "boundary": "tied-modes",
    "variant": 3,
    "oracle": {
      "mean": "6",
      "modes": [
        "4",
        "6"
      ],
      "value": "5",
      "flags": [
        false,
        false,
        false,
        false
      ],
      "masses": {
        "4": "2/5",
        "6": "2/5",
        "10": "1/5"
      }
    }
  },
  {
    "id": "outcome-careful-outcome-full-192",
    "english": "Shared definition supplied once for this stateless question: x is mean-outcome(D) asserts that x equals the probability-weighted arithmetic mean under D. x is likeliest-outcome(D) asserts that x has the highest aggregated outcome mass under D, with ties allowed. These definitions also govern the corresponding English phrases. They do not guarantee a trial result or certify the model. Fictional resource use model D613, version v3 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive, exact rational masses, not rounded observations: value 0 units with mass 1/4; value 2 units with mass 1/2; value 4 units with mass 1/4. Add masses of paths with the same value. Mean is the probability-weighted arithmetic mean; most probable compares aggregated value masses and allows ties. Here x = 2 units. No claim that the model is correct or guarantees a trial is supplied. Statement: Under D613, 2 units has the highest outcome probability, ties allowed.",
    "ainglish": "Shared definition supplied once for this stateless question: x is mean-outcome(D) asserts that x equals the probability-weighted arithmetic mean under D. x is likeliest-outcome(D) asserts that x has the highest aggregated outcome mass under D, with ties allowed. These definitions also govern the corresponding English phrases. They do not guarantee a trial result or certify the model. Fictional resource use model D613, version v3 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive, exact rational masses, not rounded observations: value 0 units with mass 1/4; value 2 units with mass 1/2; value 4 units with mass 1/4. Add masses of paths with the same value. Mean is the probability-weighted arithmetic mean; most probable compares aggregated value masses and allows ties. Here x = 2 units. No claim that the model is correct or guarantees a trial is supplied. Statement: 2 units is likeliest-outcome(D613).",
    "question": "Evaluate the claim, whether x can actually occur, whether x alone is most probable, and whether the next result is guaranteed to equal x.",
    "options": [
      "Claim true: yes; x possible: yes; x unique most probable: yes; next result guaranteed x: no.",
      "Claim true: yes; x possible: yes; x unique most probable: yes; next result guaranteed x: yes.",
      "Claim true: yes; x possible: yes; x unique most probable: no; next result guaranteed x: yes.",
      "Claim true: yes; x possible: yes; x unique most probable: no; next result guaranteed x: no.",
      "Claim true: yes; x possible: no; x unique most probable: yes; next result guaranteed x: yes.",
      "Claim true: yes; x possible: no; x unique most probable: yes; next result guaranteed x: no.",
      "Claim true: yes; x possible: no; x unique most probable: no; next result guaranteed x: yes.",
      "Claim true: yes; x possible: no; x unique most probable: no; next result guaranteed x: no.",
      "Claim true: no; x possible: yes; x unique most probable: yes; next result guaranteed x: yes.",
      "Claim true: no; x possible: yes; x unique most probable: yes; next result guaranteed x: no.",
      "Claim true: no; x possible: yes; x unique most probable: no; next result guaranteed x: yes.",
      "Claim true: no; x possible: yes; x unique most probable: no; next result guaranteed x: no.",
      "Claim true: no; x possible: no; x unique most probable: yes; next result guaranteed x: yes.",
      "Claim true: no; x possible: no; x unique most probable: yes; next result guaranteed x: no.",
      "Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: yes.",
      "Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: no."
    ],
    "answer": "Claim true: yes; x possible: yes; x unique most probable: yes; next result guaranteed x: no.",
    "settlement_stratum": "likeliest-outcome",
    "domain": "resource use",
    "boundary": "mean-is-mode",
    "variant": 0,
    "oracle": {
      "mean": "2",
      "modes": [
        "2"
      ],
      "value": "2",
      "flags": [
        true,
        true,
        true,
        false
      ],
      "masses": {
        "0": "1/4",
        "2": "1/2",
        "4": "1/4"
      }
    }
  },
  {
    "id": "outcome-careful-outcome-full-193",
    "english": "Shared definition supplied once for this stateless question: x is mean-outcome(D) asserts that x equals the probability-weighted arithmetic mean under D. x is likeliest-outcome(D) asserts that x has the highest aggregated outcome mass under D, with ties allowed. These definitions also govern the corresponding English phrases. They do not guarantee a trial result or certify the model. Fictional resource use model D614, version v3 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive, exact rational masses, not rounded observations: value 1 units with mass 1/4; value 3 units with mass 1/2; value 5 units with mass 1/4. Add masses of paths with the same value. Mean is the probability-weighted arithmetic mean; most probable compares aggregated value masses and allows ties. Here x = 4 units. No claim that the model is correct or guarantees a trial is supplied. Statement: Under D614, 4 units has the highest outcome probability, ties allowed.",
    "ainglish": "Shared definition supplied once for this stateless question: x is mean-outcome(D) asserts that x equals the probability-weighted arithmetic mean under D. x is likeliest-outcome(D) asserts that x has the highest aggregated outcome mass under D, with ties allowed. These definitions also govern the corresponding English phrases. They do not guarantee a trial result or certify the model. Fictional resource use model D614, version v3 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive, exact rational masses, not rounded observations: value 1 units with mass 1/4; value 3 units with mass 1/2; value 5 units with mass 1/4. Add masses of paths with the same value. Mean is the probability-weighted arithmetic mean; most probable compares aggregated value masses and allows ties. Here x = 4 units. No claim that the model is correct or guarantees a trial is supplied. Statement: 4 units is likeliest-outcome(D614).",
    "question": "Evaluate the claim, whether x can actually occur, whether x alone is most probable, and whether the next result is guaranteed to equal x.",
    "options": [
      "Claim true: yes; x possible: yes; x unique most probable: yes; next result guaranteed x: yes.",
      "Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: no.",
      "Claim true: yes; x possible: yes; x unique most probable: yes; next result guaranteed x: no.",
      "Claim true: yes; x possible: yes; x unique most probable: no; next result guaranteed x: yes.",
      "Claim true: yes; x possible: yes; x unique most probable: no; next result guaranteed x: no.",
      "Claim true: yes; x possible: no; x unique most probable: yes; next result guaranteed x: yes.",
      "Claim true: yes; x possible: no; x unique most probable: yes; next result guaranteed x: no.",
      "Claim true: yes; x possible: no; x unique most probable: no; next result guaranteed x: yes.",
      "Claim true: yes; x possible: no; x unique most probable: no; next result guaranteed x: no.",
      "Claim true: no; x possible: yes; x unique most probable: yes; next result guaranteed x: yes.",
      "Claim true: no; x possible: yes; x unique most probable: yes; next result guaranteed x: no.",
      "Claim true: no; x possible: yes; x unique most probable: no; next result guaranteed x: yes.",
      "Claim true: no; x possible: yes; x unique most probable: no; next result guaranteed x: no.",
      "Claim true: no; x possible: no; x unique most probable: yes; next result guaranteed x: yes.",
      "Claim true: no; x possible: no; x unique most probable: yes; next result guaranteed x: no.",
      "Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: yes."
    ],
    "answer": "Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: no.",
    "settlement_stratum": "likeliest-outcome",
    "domain": "resource use",
    "boundary": "mean-is-mode",
    "variant": 1,
    "oracle": {
      "mean": "3",
      "modes": [
        "3"
      ],
      "value": "4",
      "flags": [
        false,
        false,
        false,
        false
      ],
      "masses": {
        "1": "1/4",
        "3": "1/2",
        "5": "1/4"
      }
    }
  },
  {
    "id": "outcome-careful-outcome-full-194",
    "english": "Shared definition supplied once for this stateless question: x is mean-outcome(D) asserts that x equals the probability-weighted arithmetic mean under D. x is likeliest-outcome(D) asserts that x has the highest aggregated outcome mass under D, with ties allowed. These definitions also govern the corresponding English phrases. They do not guarantee a trial result or certify the model. Fictional resource use model D615, version v3 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive, exact rational masses, not rounded observations: value 2 units with mass 1/4; value 4 units with mass 1/2; value 6 units with mass 1/4. Add masses of paths with the same value. Mean is the probability-weighted arithmetic mean; most probable compares aggregated value masses and allows ties. Here x = 4 units. No claim that the model is correct or guarantees a trial is supplied. Statement: Under D615, 4 units has the highest outcome probability, ties allowed.",
    "ainglish": "Shared definition supplied once for this stateless question: x is mean-outcome(D) asserts that x equals the probability-weighted arithmetic mean under D. x is likeliest-outcome(D) asserts that x has the highest aggregated outcome mass under D, with ties allowed. These definitions also govern the corresponding English phrases. They do not guarantee a trial result or certify the model. Fictional resource use model D615, version v3 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive, exact rational masses, not rounded observations: value 2 units with mass 1/4; value 4 units with mass 1/2; value 6 units with mass 1/4. Add masses of paths with the same value. Mean is the probability-weighted arithmetic mean; most probable compares aggregated value masses and allows ties. Here x = 4 units. No claim that the model is correct or guarantees a trial is supplied. Statement: 4 units is likeliest-outcome(D615).",
    "question": "Evaluate the claim, whether x can actually occur, whether x alone is most probable, and whether the next result is guaranteed to equal x.",
    "options": [
      "Claim true: yes; x possible: yes; x unique most probable: yes; next result guaranteed x: yes.",
      "Claim true: yes; x possible: yes; x unique most probable: no; next result guaranteed x: yes.",
      "Claim true: yes; x possible: yes; x unique most probable: yes; next result guaranteed x: no.",
      "Claim true: yes; x possible: yes; x unique most probable: no; next result guaranteed x: no.",
      "Claim true: yes; x possible: no; x unique most probable: yes; next result guaranteed x: yes.",
      "Claim true: yes; x possible: no; x unique most probable: yes; next result guaranteed x: no.",
      "Claim true: yes; x possible: no; x unique most probable: no; next result guaranteed x: yes.",
      "Claim true: yes; x possible: no; x unique most probable: no; next result guaranteed x: no.",
      "Claim true: no; x possible: yes; x unique most probable: yes; next result guaranteed x: yes.",
      "Claim true: no; x possible: yes; x unique most probable: yes; next result guaranteed x: no.",
      "Claim true: no; x possible: yes; x unique most probable: no; next result guaranteed x: yes.",
      "Claim true: no; x possible: yes; x unique most probable: no; next result guaranteed x: no.",
      "Claim true: no; x possible: no; x unique most probable: yes; next result guaranteed x: yes.",
      "Claim true: no; x possible: no; x unique most probable: yes; next result guaranteed x: no.",
      "Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: yes.",
      "Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: no."
    ],
    "answer": "Claim true: yes; x possible: yes; x unique most probable: yes; next result guaranteed x: no.",
    "settlement_stratum": "likeliest-outcome",
    "domain": "resource use",
    "boundary": "mean-is-mode",
    "variant": 2,
    "oracle": {
      "mean": "4",
      "modes": [
        "4"
      ],
      "value": "4",
      "flags": [
        true,
        true,
        true,
        false
      ],
      "masses": {
        "2": "1/4",
        "4": "1/2",
        "6": "1/4"
      }
    }
  },
  {
    "id": "outcome-careful-outcome-full-195",
    "english": "Shared definition supplied once for this stateless question: x is mean-outcome(D) asserts that x equals the probability-weighted arithmetic mean under D. x is likeliest-outcome(D) asserts that x has the highest aggregated outcome mass under D, with ties allowed. These definitions also govern the corresponding English phrases. They do not guarantee a trial result or certify the model. Fictional resource use model D616, version v3 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive, exact rational masses, not rounded observations: value 3 units with mass 1/4; value 5 units with mass 1/2; value 7 units with mass 1/4. Add masses of paths with the same value. Mean is the probability-weighted arithmetic mean; most probable compares aggregated value masses and allows ties. Here x = 6 units. No claim that the model is correct or guarantees a trial is supplied. Statement: Under D616, 6 units has the highest outcome probability, ties allowed.",
    "ainglish": "Shared definition supplied once for this stateless question: x is mean-outcome(D) asserts that x equals the probability-weighted arithmetic mean under D. x is likeliest-outcome(D) asserts that x has the highest aggregated outcome mass under D, with ties allowed. These definitions also govern the corresponding English phrases. They do not guarantee a trial result or certify the model. Fictional resource use model D616, version v3 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive, exact rational masses, not rounded observations: value 3 units with mass 1/4; value 5 units with mass 1/2; value 7 units with mass 1/4. Add masses of paths with the same value. Mean is the probability-weighted arithmetic mean; most probable compares aggregated value masses and allows ties. Here x = 6 units. No claim that the model is correct or guarantees a trial is supplied. Statement: 6 units is likeliest-outcome(D616).",
    "question": "Evaluate the claim, whether x can actually occur, whether x alone is most probable, and whether the next result is guaranteed to equal x.",
    "options": [
      "Claim true: yes; x possible: yes; x unique most probable: yes; next result guaranteed x: yes.",
      "Claim true: yes; x possible: yes; x unique most probable: yes; next result guaranteed x: no.",
      "Claim true: yes; x possible: yes; x unique most probable: no; next result guaranteed x: yes.",
      "Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: no.",
      "Claim true: yes; x possible: yes; x unique most probable: no; next result guaranteed x: no.",
      "Claim true: yes; x possible: no; x unique most probable: yes; next result guaranteed x: yes.",
      "Claim true: yes; x possible: no; x unique most probable: yes; next result guaranteed x: no.",
      "Claim true: yes; x possible: no; x unique most probable: no; next result guaranteed x: yes.",
      "Claim true: yes; x possible: no; x unique most probable: no; next result guaranteed x: no.",
      "Claim true: no; x possible: yes; x unique most probable: yes; next result guaranteed x: yes.",
      "Claim true: no; x possible: yes; x unique most probable: yes; next result guaranteed x: no.",
      "Claim true: no; x possible: yes; x unique most probable: no; next result guaranteed x: yes.",
      "Claim true: no; x possible: yes; x unique most probable: no; next result guaranteed x: no.",
      "Claim true: no; x possible: no; x unique most probable: yes; next result guaranteed x: yes.",
      "Claim true: no; x possible: no; x unique most probable: yes; next result guaranteed x: no.",
      "Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: yes."
    ],
    "answer": "Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: no.",
    "settlement_stratum": "likeliest-outcome",
    "domain": "resource use",
    "boundary": "mean-is-mode",
    "variant": 3,
    "oracle": {
      "mean": "5",
      "modes": [
        "5"
      ],
      "value": "6",
      "flags": [
        false,
        false,
        false,
        false
      ],
      "masses": {
        "3": "1/4",
        "5": "1/2",
        "7": "1/4"
      }
    }
  },
  {
    "id": "outcome-careful-outcome-full-196",
    "english": "Shared definition supplied once for this stateless question: x is mean-outcome(D) asserts that x equals the probability-weighted arithmetic mean under D. x is likeliest-outcome(D) asserts that x has the highest aggregated outcome mass under D, with ties allowed. These definitions also govern the corresponding English phrases. They do not guarantee a trial result or certify the model. Fictional resource use model D617, version v3 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive, exact rational masses, not rounded observations: value 0 units with mass 1/5; value 4 units with mass 3/10; value 4 units with mass 3/10; value 8 units with mass 1/5. Add masses of paths with the same value. Mean is the probability-weighted arithmetic mean; most probable compares aggregated value masses and allows ties. Here x = 4 units. No claim that the model is correct or guarantees a trial is supplied. Statement: Under D617, 4 units has the highest outcome probability, ties allowed.",
    "ainglish": "Shared definition supplied once for this stateless question: x is mean-outcome(D) asserts that x equals the probability-weighted arithmetic mean under D. x is likeliest-outcome(D) asserts that x has the highest aggregated outcome mass under D, with ties allowed. These definitions also govern the corresponding English phrases. They do not guarantee a trial result or certify the model. Fictional resource use model D617, version v3 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive, exact rational masses, not rounded observations: value 0 units with mass 1/5; value 4 units with mass 3/10; value 4 units with mass 3/10; value 8 units with mass 1/5. Add masses of paths with the same value. Mean is the probability-weighted arithmetic mean; most probable compares aggregated value masses and allows ties. Here x = 4 units. No claim that the model is correct or guarantees a trial is supplied. Statement: 4 units is likeliest-outcome(D617).",
    "question": "Evaluate the claim, whether x can actually occur, whether x alone is most probable, and whether the next result is guaranteed to equal x.",
    "options": [
      "Claim true: yes; x possible: yes; x unique most probable: yes; next result guaranteed x: yes.",
      "Claim true: yes; x possible: yes; x unique most probable: no; next result guaranteed x: yes.",
      "Claim true: yes; x possible: yes; x unique most probable: no; next result guaranteed x: no.",
      "Claim true: yes; x possible: no; x unique most probable: yes; next result guaranteed x: yes.",
      "Claim true: yes; x possible: yes; x unique most probable: yes; next result guaranteed x: no.",
      "Claim true: yes; x possible: no; x unique most probable: yes; next result guaranteed x: no.",
      "Claim true: yes; x possible: no; x unique most probable: no; next result guaranteed x: yes.",
      "Claim true: yes; x possible: no; x unique most probable: no; next result guaranteed x: no.",
      "Claim true: no; x possible: yes; x unique most probable: yes; next result guaranteed x: yes.",
      "Claim true: no; x possible: yes; x unique most probable: yes; next result guaranteed x: no.",
      "Claim true: no; x possible: yes; x unique most probable: no; next result guaranteed x: yes.",
      "Claim true: no; x possible: yes; x unique most probable: no; next result guaranteed x: no.",
      "Claim true: no; x possible: no; x unique most probable: yes; next result guaranteed x: yes.",
      "Claim true: no; x possible: no; x unique most probable: yes; next result guaranteed x: no.",
      "Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: yes.",
      "Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: no."
    ],
    "answer": "Claim true: yes; x possible: yes; x unique most probable: yes; next result guaranteed x: no.",
    "settlement_stratum": "likeliest-outcome",
    "domain": "resource use",
    "boundary": "aggregate-paths",
    "variant": 0,
    "oracle": {
      "mean": "4",
      "modes": [
        "4"
      ],
      "value": "4",
      "flags": [
        true,
        true,
        true,
        false
      ],
      "masses": {
        "0": "1/5",
        "4": "3/5",
        "8": "1/5"
      }
    }
  },
  {
    "id": "outcome-careful-outcome-full-197",
    "english": "Shared definition supplied once for this stateless question: x is mean-outcome(D) asserts that x equals the probability-weighted arithmetic mean under D. x is likeliest-outcome(D) asserts that x has the highest aggregated outcome mass under D, with ties allowed. These definitions also govern the corresponding English phrases. They do not guarantee a trial result or certify the model. Fictional resource use model D618, version v3 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive, exact rational masses, not rounded observations: value 1 units with mass 1/5; value 5 units with mass 3/10; value 5 units with mass 3/10; value 9 units with mass 1/5. Add masses of paths with the same value. Mean is the probability-weighted arithmetic mean; most probable compares aggregated value masses and allows ties. Here x = 6 units. No claim that the model is correct or guarantees a trial is supplied. Statement: Under D618, 6 units has the highest outcome probability, ties allowed.",
    "ainglish": "Shared definition supplied once for this stateless question: x is mean-outcome(D) asserts that x equals the probability-weighted arithmetic mean under D. x is likeliest-outcome(D) asserts that x has the highest aggregated outcome mass under D, with ties allowed. These definitions also govern the corresponding English phrases. They do not guarantee a trial result or certify the model. Fictional resource use model D618, version v3 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive, exact rational masses, not rounded observations: value 1 units with mass 1/5; value 5 units with mass 3/10; value 5 units with mass 3/10; value 9 units with mass 1/5. Add masses of paths with the same value. Mean is the probability-weighted arithmetic mean; most probable compares aggregated value masses and allows ties. Here x = 6 units. No claim that the model is correct or guarantees a trial is supplied. Statement: 6 units is likeliest-outcome(D618).",
    "question": "Evaluate the claim, whether x can actually occur, whether x alone is most probable, and whether the next result is guaranteed to equal x.",
    "options": [
      "Claim true: yes; x possible: yes; x unique most probable: yes; next result guaranteed x: yes.",
      "Claim true: yes; x possible: yes; x unique most probable: yes; next result guaranteed x: no.",
      "Claim true: yes; x possible: yes; x unique most probable: no; next result guaranteed x: yes.",
      "Claim true: yes; x possible: yes; x unique most probable: no; next result guaranteed x: no.",
      "Claim true: yes; x possible: no; x unique most probable: yes; next result guaranteed x: yes.",
      "Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: no.",
      "Claim true: yes; x possible: no; x unique most probable: yes; next result guaranteed x: no.",
      "Claim true: yes; x possible: no; x unique most probable: no; next result guaranteed x: yes.",
      "Claim true: yes; x possible: no; x unique most probable: no; next result guaranteed x: no.",
      "Claim true: no; x possible: yes; x unique most probable: yes; next result guaranteed x: yes.",
      "Claim true: no; x possible: yes; x unique most probable: yes; next result guaranteed x: no.",
      "Claim true: no; x possible: yes; x unique most probable: no; next result guaranteed x: yes.",
      "Claim true: no; x possible: yes; x unique most probable: no; next result guaranteed x: no.",
      "Claim true: no; x possible: no; x unique most probable: yes; next result guaranteed x: yes.",
      "Claim true: no; x possible: no; x unique most probable: yes; next result guaranteed x: no.",
      "Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: yes."
    ],
    "answer": "Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: no.",
    "settlement_stratum": "likeliest-outcome",
    "domain": "resource use",
    "boundary": "aggregate-paths",
    "variant": 1,
    "oracle": {
      "mean": "5",
      "modes": [
        "5"
      ],
      "value": "6",
      "flags": [
        false,
        false,
        false,
        false
      ],
      "masses": {
        "1": "1/5",
        "5": "3/5",
        "9": "1/5"
      }
    }
  },
  {
    "id": "outcome-careful-outcome-full-198",
    "english": "Shared definition supplied once for this stateless question: x is mean-outcome(D) asserts that x equals the probability-weighted arithmetic mean under D. x is likeliest-outcome(D) asserts that x has the highest aggregated outcome mass under D, with ties allowed. These definitions also govern the corresponding English phrases. They do not guarantee a trial result or certify the model. Fictional resource use model D619, version v3 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive, exact rational masses, not rounded observations: value 2 units with mass 1/5; value 6 units with mass 3/10; value 6 units with mass 3/10; value 10 units with mass 1/5. Add masses of paths with the same value. Mean is the probability-weighted arithmetic mean; most probable compares aggregated value masses and allows ties. Here x = 6 units. No claim that the model is correct or guarantees a trial is supplied. Statement: Under D619, 6 units has the highest outcome probability, ties allowed.",
    "ainglish": "Shared definition supplied once for this stateless question: x is mean-outcome(D) asserts that x equals the probability-weighted arithmetic mean under D. x is likeliest-outcome(D) asserts that x has the highest aggregated outcome mass under D, with ties allowed. These definitions also govern the corresponding English phrases. They do not guarantee a trial result or certify the model. Fictional resource use model D619, version v3 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive, exact rational masses, not rounded observations: value 2 units with mass 1/5; value 6 units with mass 3/10; value 6 units with mass 3/10; value 10 units with mass 1/5. Add masses of paths with the same value. Mean is the probability-weighted arithmetic mean; most probable compares aggregated value masses and allows ties. Here x = 6 units. No claim that the model is correct or guarantees a trial is supplied. Statement: 6 units is likeliest-outcome(D619).",
    "question": "Evaluate the claim, whether x can actually occur, whether x alone is most probable, and whether the next result is guaranteed to equal x.",
    "options": [
      "Claim true: yes; x possible: yes; x unique most probable: yes; next result guaranteed x: yes.",
      "Claim true: yes; x possible: yes; x unique most probable: no; next result guaranteed x: yes.",
      "Claim true: yes; x possible: yes; x unique most probable: no; next result guaranteed x: no.",
      "Claim true: yes; x possible: no; x unique most probable: yes; next result guaranteed x: yes.",
      "Claim true: yes; x possible: no; x unique most probable: yes; next result guaranteed x: no.",
      "Claim true: yes; x possible: no; x unique most probable: no; next result guaranteed x: yes.",
      "Claim true: yes; x possible: yes; x unique most probable: yes; next result guaranteed x: no.",
      "Claim true: yes; x possible: no; x unique most probable: no; next result guaranteed x: no.",
      "Claim true: no; x possible: yes; x unique most probable: yes; next result guaranteed x: yes.",
      "Claim true: no; x possible: yes; x unique most probable: yes; next result guaranteed x: no.",
      "Claim true: no; x possible: yes; x unique most probable: no; next result guaranteed x: yes.",
      "Claim true: no; x possible: yes; x unique most probable: no; next result guaranteed x: no.",
      "Claim true: no; x possible: no; x unique most probable: yes; next result guaranteed x: yes.",
      "Claim true: no; x possible: no; x unique most probable: yes; next result guaranteed x: no.",
      "Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: yes.",
      "Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: no."
    ],
    "answer": "Claim true: yes; x possible: yes; x unique most probable: yes; next result guaranteed x: no.",
    "settlement_stratum": "likeliest-outcome",
    "domain": "resource use",
    "boundary": "aggregate-paths",
    "variant": 2,
    "oracle": {
      "mean": "6",
      "modes": [
        "6"
      ],
      "value": "6",
      "flags": [
        true,
        true,
        true,
        false
      ],
      "masses": {
        "2": "1/5",
        "6": "3/5",
        "10": "1/5"
      }
    }
  },
  {
    "id": "outcome-careful-outcome-full-199",
    "english": "Shared definition supplied once for this stateless question: x is mean-outcome(D) asserts that x equals the probability-weighted arithmetic mean under D. x is likeliest-outcome(D) asserts that x has the highest aggregated outcome mass under D, with ties allowed. These definitions also govern the corresponding English phrases. They do not guarantee a trial result or certify the model. Fictional resource use model D620, version v3 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive, exact rational masses, not rounded observations: value 3 units with mass 1/5; value 7 units with mass 3/10; value 7 units with mass 3/10; value 11 units with mass 1/5. Add masses of paths with the same value. Mean is the probability-weighted arithmetic mean; most probable compares aggregated value masses and allows ties. Here x = 8 units. No claim that the model is correct or guarantees a trial is supplied. Statement: Under D620, 8 units has the highest outcome probability, ties allowed.",
    "ainglish": "Shared definition supplied once for this stateless question: x is mean-outcome(D) asserts that x equals the probability-weighted arithmetic mean under D. x is likeliest-outcome(D) asserts that x has the highest aggregated outcome mass under D, with ties allowed. These definitions also govern the corresponding English phrases. They do not guarantee a trial result or certify the model. Fictional resource use model D620, version v3 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive, exact rational masses, not rounded observations: value 3 units with mass 1/5; value 7 units with mass 3/10; value 7 units with mass 3/10; value 11 units with mass 1/5. Add masses of paths with the same value. Mean is the probability-weighted arithmetic mean; most probable compares aggregated value masses and allows ties. Here x = 8 units. No claim that the model is correct or guarantees a trial is supplied. Statement: 8 units is likeliest-outcome(D620).",
    "question": "Evaluate the claim, whether x can actually occur, whether x alone is most probable, and whether the next result is guaranteed to equal x.",
    "options": [
      "Claim true: yes; x possible: yes; x unique most probable: yes; next result guaranteed x: yes.",
      "Claim true: yes; x possible: yes; x unique most probable: yes; next result guaranteed x: no.",
      "Claim true: yes; x possible: yes; x unique most probable: no; next result guaranteed x: yes.",
      "Claim true: yes; x possible: yes; x unique most probable: no; next result guaranteed x: no.",
      "Claim true: yes; x possible: no; x unique most probable: yes; next result guaranteed x: yes.",
      "Claim true: yes; x possible: no; x unique most probable: yes; next result guaranteed x: no.",
      "Claim true: yes; x possible: no; x unique most probable: no; next result guaranteed x: yes.",
      "Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: no.",
      "Claim true: yes; x possible: no; x unique most probable: no; next result guaranteed x: no.",
      "Claim true: no; x possible: yes; x unique most probable: yes; next result guaranteed x: yes.",
      "Claim true: no; x possible: yes; x unique most probable: yes; next result guaranteed x: no.",
      "Claim true: no; x possible: yes; x unique most probable: no; next result guaranteed x: yes.",
      "Claim true: no; x possible: yes; x unique most probable: no; next result guaranteed x: no.",
      "Claim true: no; x possible: no; x unique most probable: yes; next result guaranteed x: yes.",
      "Claim true: no; x possible: no; x unique most probable: yes; next result guaranteed x: no.",
      "Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: yes."
    ],
    "answer": "Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: no.",
    "settlement_stratum": "likeliest-outcome",
    "domain": "resource use",
    "boundary": "aggregate-paths",
    "variant": 3,
    "oracle": {
      "mean": "7",
      "modes": [
        "7"
      ],
      "value": "8",
      "flags": [
        false,
        false,
        false,
        false
      ],
      "masses": {
        "3": "1/5",
        "7": "3/5",
        "11": "1/5"
      }
    }
  },
  {
    "id": "outcome-careful-outcome-full-200",
    "english": "Shared definition supplied once for this stateless question: x is mean-outcome(D) asserts that x equals the probability-weighted arithmetic mean under D. x is likeliest-outcome(D) asserts that x has the highest aggregated outcome mass under D, with ties allowed. These definitions also govern the corresponding English phrases. They do not guarantee a trial result or certify the model. Fictional simulated inventory model D621, version v3 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive, exact rational masses, not rounded observations: value 0 units with mass 1/2; value 6 units with mass 1/2. Add masses of paths with the same value. Mean is the probability-weighted arithmetic mean; most probable compares aggregated value masses and allows ties. Here x = 0 units. No claim that the model is correct or guarantees a trial is supplied. Statement: Under D621, 0 units has the highest outcome probability, ties allowed.",
    "ainglish": "Shared definition supplied once for this stateless question: x is mean-outcome(D) asserts that x equals the probability-weighted arithmetic mean under D. x is likeliest-outcome(D) asserts that x has the highest aggregated outcome mass under D, with ties allowed. These definitions also govern the corresponding English phrases. They do not guarantee a trial result or certify the model. Fictional simulated inventory model D621, version v3 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive, exact rational masses, not rounded observations: value 0 units with mass 1/2; value 6 units with mass 1/2. Add masses of paths with the same value. Mean is the probability-weighted arithmetic mean; most probable compares aggregated value masses and allows ties. Here x = 0 units. No claim that the model is correct or guarantees a trial is supplied. Statement: 0 units is likeliest-outcome(D621).",
    "question": "Evaluate the claim, whether x can actually occur, whether x alone is most probable, and whether the next result is guaranteed to equal x.",
    "options": [
      "Claim true: yes; x possible: yes; x unique most probable: yes; next result guaranteed x: yes.",
      "Claim true: yes; x possible: yes; x unique most probable: yes; next result guaranteed x: no.",
      "Claim true: yes; x possible: yes; x unique most probable: no; next result guaranteed x: yes.",
      "Claim true: yes; x possible: no; x unique most probable: yes; next result guaranteed x: yes.",
      "Claim true: yes; x possible: no; x unique most probable: yes; next result guaranteed x: no.",
      "Claim true: yes; x possible: no; x unique most probable: no; next result guaranteed x: yes.",
      "Claim true: yes; x possible: no; x unique most probable: no; next result guaranteed x: no.",
      "Claim true: no; x possible: yes; x unique most probable: yes; next result guaranteed x: yes.",
      "Claim true: yes; x possible: yes; x unique most probable: no; next result guaranteed x: no.",
      "Claim true: no; x possible: yes; x unique most probable: yes; next result guaranteed x: no.",
      "Claim true: no; x possible: yes; x unique most probable: no; next result guaranteed x: yes.",
      "Claim true: no; x possible: yes; x unique most probable: no; next result guaranteed x: no.",
      "Claim true: no; x possible: no; x unique most probable: yes; next result guaranteed x: yes.",
      "Claim true: no; x possible: no; x unique most probable: yes; next result guaranteed x: no.",
      "Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: yes.",
      "Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: no."
    ],
    "answer": "Claim true: yes; x possible: yes; x unique most probable: no; next result guaranteed x: no.",
    "settlement_stratum": "likeliest-outcome",
    "domain": "simulated inventory",
    "boundary": "mean-outside",
    "variant": 0,
    "oracle": {
      "mean": "3",
      "modes": [
        "0",
        "6"
      ],
      "value": "0",
      "flags": [
        true,
        true,
        false,
        false
      ],
      "masses": {
        "0": "1/2",
        "6": "1/2"
      }
    }
  },
  {
    "id": "outcome-careful-outcome-full-201",
    "english": "Shared definition supplied once for this stateless question: x is mean-outcome(D) asserts that x equals the probability-weighted arithmetic mean under D. x is likeliest-outcome(D) asserts that x has the highest aggregated outcome mass under D, with ties allowed. These definitions also govern the corresponding English phrases. They do not guarantee a trial result or certify the model. Fictional simulated inventory model D622, version v3 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive, exact rational masses, not rounded observations: value 1 units with mass 1/2; value 7 units with mass 1/2. Add masses of paths with the same value. Mean is the probability-weighted arithmetic mean; most probable compares aggregated value masses and allows ties. Here x = 2 units. No claim that the model is correct or guarantees a trial is supplied. Statement: Under D622, 2 units has the highest outcome probability, ties allowed.",
    "ainglish": "Shared definition supplied once for this stateless question: x is mean-outcome(D) asserts that x equals the probability-weighted arithmetic mean under D. x is likeliest-outcome(D) asserts that x has the highest aggregated outcome mass under D, with ties allowed. These definitions also govern the corresponding English phrases. They do not guarantee a trial result or certify the model. Fictional simulated inventory model D622, version v3 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive, exact rational masses, not rounded observations: value 1 units with mass 1/2; value 7 units with mass 1/2. Add masses of paths with the same value. Mean is the probability-weighted arithmetic mean; most probable compares aggregated value masses and allows ties. Here x = 2 units. No claim that the model is correct or guarantees a trial is supplied. Statement: 2 units is likeliest-outcome(D622).",
    "question": "Evaluate the claim, whether x can actually occur, whether x alone is most probable, and whether the next result is guaranteed to equal x.",
    "options": [
      "Claim true: yes; x possible: yes; x unique most probable: yes; next result guaranteed x: yes.",
      "Claim true: yes; x possible: yes; x unique most probable: yes; next result guaranteed x: no.",
      "Claim true: yes; x possible: yes; x unique most probable: no; next result guaranteed x: yes.",
      "Claim true: yes; x possible: yes; x unique most probable: no; next result guaranteed x: no.",
      "Claim true: yes; x possible: no; x unique most probable: yes; next result guaranteed x: yes.",
      "Claim true: yes; x possible: no; x unique most probable: yes; next result guaranteed x: no.",
      "Claim true: yes; x possible: no; x unique most probable: no; next result guaranteed x: yes.",
      "Claim true: yes; x possible: no; x unique most probable: no; next result guaranteed x: no.",
      "Claim true: no; x possible: yes; x unique most probable: yes; next result guaranteed x: yes.",
      "Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: no.",
      "Claim true: no; x possible: yes; x unique most probable: yes; next result guaranteed x: no.",
      "Claim true: no; x possible: yes; x unique most probable: no; next result guaranteed x: yes.",
      "Claim true: no; x possible: yes; x unique most probable: no; next result guaranteed x: no.",
      "Claim true: no; x possible: no; x unique most probable: yes; next result guaranteed x: yes.",
      "Claim true: no; x possible: no; x unique most probable: yes; next result guaranteed x: no.",
      "Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: yes."
    ],
    "answer": "Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: no.",
    "settlement_stratum": "likeliest-outcome",
    "domain": "simulated inventory",
    "boundary": "mean-outside",
    "variant": 1,
    "oracle": {
      "mean": "4",
      "modes": [
        "1",
        "7"
      ],
      "value": "2",
      "flags": [
        false,
        false,
        false,
        false
      ],
      "masses": {
        "1": "1/2",
        "7": "1/2"
      }
    }
  },
  {
    "id": "outcome-careful-outcome-full-202",
    "english": "Shared definition supplied once for this stateless question: x is mean-outcome(D) asserts that x equals the probability-weighted arithmetic mean under D. x is likeliest-outcome(D) asserts that x has the highest aggregated outcome mass under D, with ties allowed. These definitions also govern the corresponding English phrases. They do not guarantee a trial result or certify the model. Fictional simulated inventory model D623, version v3 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive, exact rational masses, not rounded observations: value 2 units with mass 1/2; value 8 units with mass 1/2. Add masses of paths with the same value. Mean is the probability-weighted arithmetic mean; most probable compares aggregated value masses and allows ties. Here x = 2 units. No claim that the model is correct or guarantees a trial is supplied. Statement: Under D623, 2 units has the highest outcome probability, ties allowed.",
    "ainglish": "Shared definition supplied once for this stateless question: x is mean-outcome(D) asserts that x equals the probability-weighted arithmetic mean under D. x is likeliest-outcome(D) asserts that x has the highest aggregated outcome mass under D, with ties allowed. These definitions also govern the corresponding English phrases. They do not guarantee a trial result or certify the model. Fictional simulated inventory model D623, version v3 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive, exact rational masses, not rounded observations: value 2 units with mass 1/2; value 8 units with mass 1/2. Add masses of paths with the same value. Mean is the probability-weighted arithmetic mean; most probable compares aggregated value masses and allows ties. Here x = 2 units. No claim that the model is correct or guarantees a trial is supplied. Statement: 2 units is likeliest-outcome(D623).",
    "question": "Evaluate the claim, whether x can actually occur, whether x alone is most probable, and whether the next result is guaranteed to equal x.",
    "options": [
      "Claim true: yes; x possible: yes; x unique most probable: yes; next result guaranteed x: yes.",
      "Claim true: yes; x possible: yes; x unique most probable: yes; next result guaranteed x: no.",
      "Claim true: yes; x possible: yes; x unique most probable: no; next result guaranteed x: yes.",
      "Claim true: yes; x possible: no; x unique most probable: yes; next result guaranteed x: yes.",
      "Claim true: yes; x possible: no; x unique most probable: yes; next result guaranteed x: no.",
      "Claim true: yes; x possible: no; x unique most probable: no; next result guaranteed x: yes.",
      "Claim true: yes; x possible: no; x unique most probable: no; next result guaranteed x: no.",
      "Claim true: no; x possible: yes; x unique most probable: yes; next result guaranteed x: yes.",
      "Claim true: no; x possible: yes; x unique most probable: yes; next result guaranteed x: no.",
      "Claim true: no; x possible: yes; x unique most probable: no; next result guaranteed x: yes.",
      "Claim true: yes; x possible: yes; x unique most probable: no; next result guaranteed x: no.",
      "Claim true: no; x possible: yes; x unique most probable: no; next result guaranteed x: no.",
      "Claim true: no; x possible: no; x unique most probable: yes; next result guaranteed x: yes.",
      "Claim true: no; x possible: no; x unique most probable: yes; next result guaranteed x: no.",
      "Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: yes.",
      "Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: no."
    ],
    "answer": "Claim true: yes; x possible: yes; x unique most probable: no; next result guaranteed x: no.",
    "settlement_stratum": "likeliest-outcome",
    "domain": "simulated inventory",
    "boundary": "mean-outside",
    "variant": 2,
    "oracle": {
      "mean": "5",
      "modes": [
        "2",
        "8"
      ],
      "value": "2",
      "flags": [
        true,
        true,
        false,
        false
      ],
      "masses": {
        "2": "1/2",
        "8": "1/2"
      }
    }
  },
  {
    "id": "outcome-careful-outcome-full-203",
    "english": "Shared definition supplied once for this stateless question: x is mean-outcome(D) asserts that x equals the probability-weighted arithmetic mean under D. x is likeliest-outcome(D) asserts that x has the highest aggregated outcome mass under D, with ties allowed. These definitions also govern the corresponding English phrases. They do not guarantee a trial result or certify the model. Fictional simulated inventory model D624, version v3 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive, exact rational masses, not rounded observations: value 3 units with mass 1/2; value 9 units with mass 1/2. Add masses of paths with the same value. Mean is the probability-weighted arithmetic mean; most probable compares aggregated value masses and allows ties. Here x = 4 units. No claim that the model is correct or guarantees a trial is supplied. Statement: Under D624, 4 units has the highest outcome probability, ties allowed.",
    "ainglish": "Shared definition supplied once for this stateless question: x is mean-outcome(D) asserts that x equals the probability-weighted arithmetic mean under D. x is likeliest-outcome(D) asserts that x has the highest aggregated outcome mass under D, with ties allowed. These definitions also govern the corresponding English phrases. They do not guarantee a trial result or certify the model. Fictional simulated inventory model D624, version v3 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive, exact rational masses, not rounded observations: value 3 units with mass 1/2; value 9 units with mass 1/2. Add masses of paths with the same value. Mean is the probability-weighted arithmetic mean; most probable compares aggregated value masses and allows ties. Here x = 4 units. No claim that the model is correct or guarantees a trial is supplied. Statement: 4 units is likeliest-outcome(D624).",
    "question": "Evaluate the claim, whether x can actually occur, whether x alone is most probable, and whether the next result is guaranteed to equal x.",
    "options": [
      "Claim true: yes; x possible: yes; x unique most probable: yes; next result guaranteed x: yes.",
      "Claim true: yes; x possible: yes; x unique most probable: yes; next result guaranteed x: no.",
      "Claim true: yes; x possible: yes; x unique most probable: no; next result guaranteed x: yes.",
      "Claim true: yes; x possible: yes; x unique most probable: no; next result guaranteed x: no.",
      "Claim true: yes; x possible: no; x unique most probable: yes; next result guaranteed x: yes.",
      "Claim true: yes; x possible: no; x unique most probable: yes; next result guaranteed x: no.",
      "Claim true: yes; x possible: no; x unique most probable: no; next result guaranteed x: yes.",
      "Claim true: yes; x possible: no; x unique most probable: no; next result guaranteed x: no.",
      "Claim true: no; x possible: yes; x unique most probable: yes; next result guaranteed x: yes.",
      "Claim true: no; x possible: yes; x unique most probable: yes; next result guaranteed x: no.",
      "Claim true: no; x possible: yes; x unique most probable: no; next result guaranteed x: yes.",
      "Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: no.",
      "Claim true: no; x possible: yes; x unique most probable: no; next result guaranteed x: no.",
      "Claim true: no; x possible: no; x unique most probable: yes; next result guaranteed x: yes.",
      "Claim true: no; x possible: no; x unique most probable: yes; next result guaranteed x: no.",
      "Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: yes."
    ],
    "answer": "Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: no.",
    "settlement_stratum": "likeliest-outcome",
    "domain": "simulated inventory",
    "boundary": "mean-outside",
    "variant": 3,
    "oracle": {
      "mean": "6",
      "modes": [
        "3",
        "9"
      ],
      "value": "4",
      "flags": [
        false,
        false,
        false,
        false
      ],
      "masses": {
        "3": "1/2",
        "9": "1/2"
      }
    }
  },
  {
    "id": "outcome-careful-outcome-full-204",
    "english": "Shared definition supplied once for this stateless question: x is mean-outcome(D) asserts that x equals the probability-weighted arithmetic mean under D. x is likeliest-outcome(D) asserts that x has the highest aggregated outcome mass under D, with ties allowed. These definitions also govern the corresponding English phrases. They do not guarantee a trial result or certify the model. Fictional simulated inventory model D625, version v3 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive, exact rational masses, not rounded observations: value 0 units with mass 2/5; value 2 units with mass 3/10; value 5 units with mass 3/10. Add masses of paths with the same value. Mean is the probability-weighted arithmetic mean; most probable compares aggregated value masses and allows ties. Here x = 0 units. No claim that the model is correct or guarantees a trial is supplied. Statement: Under D625, 0 units has the highest outcome probability, ties allowed.",
    "ainglish": "Shared definition supplied once for this stateless question: x is mean-outcome(D) asserts that x equals the probability-weighted arithmetic mean under D. x is likeliest-outcome(D) asserts that x has the highest aggregated outcome mass under D, with ties allowed. These definitions also govern the corresponding English phrases. They do not guarantee a trial result or certify the model. Fictional simulated inventory model D625, version v3 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive, exact rational masses, not rounded observations: value 0 units with mass 2/5; value 2 units with mass 3/10; value 5 units with mass 3/10. Add masses of paths with the same value. Mean is the probability-weighted arithmetic mean; most probable compares aggregated value masses and allows ties. Here x = 0 units. No claim that the model is correct or guarantees a trial is supplied. Statement: 0 units is likeliest-outcome(D625).",
    "question": "Evaluate the claim, whether x can actually occur, whether x alone is most probable, and whether the next result is guaranteed to equal x.",
    "options": [
      "Claim true: yes; x possible: yes; x unique most probable: yes; next result guaranteed x: yes.",
      "Claim true: yes; x possible: yes; x unique most probable: no; next result guaranteed x: yes.",
      "Claim true: yes; x possible: yes; x unique most probable: no; next result guaranteed x: no.",
      "Claim true: yes; x possible: no; x unique most probable: yes; next result guaranteed x: yes.",
      "Claim true: yes; x possible: no; x unique most probable: yes; next result guaranteed x: no.",
      "Claim true: yes; x possible: no; x unique most probable: no; next result guaranteed x: yes.",
      "Claim true: yes; x possible: no; x unique most probable: no; next result guaranteed x: no.",
      "Claim true: no; x possible: yes; x unique most probable: yes; next result guaranteed x: yes.",
      "Claim true: no; x possible: yes; x unique most probable: yes; next result guaranteed x: no.",
      "Claim true: no; x possible: yes; x unique most probable: no; next result guaranteed x: yes.",
      "Claim true: no; x possible: yes; x unique most probable: no; next result guaranteed x: no.",
      "Claim true: no; x possible: no; x unique most probable: yes; next result guaranteed x: yes.",
      "Claim true: yes; x possible: yes; x unique most probable: yes; next result guaranteed x: no.",
      "Claim true: no; x possible: no; x unique most probable: yes; next result guaranteed x: no.",
      "Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: yes.",
      "Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: no."
    ],
    "answer": "Claim true: yes; x possible: yes; x unique most probable: yes; next result guaranteed x: no.",
    "settlement_stratum": "likeliest-outcome",
    "domain": "simulated inventory",
    "boundary": "mode-below-half",
    "variant": 0,
    "oracle": {
      "mean": "21/10",
      "modes": [
        "0"
      ],
      "value": "0",
      "flags": [
        true,
        true,
        true,
        false
      ],
      "masses": {
        "0": "2/5",
        "2": "3/10",
        "5": "3/10"
      }
    }
  },
  {
    "id": "outcome-careful-outcome-full-205",
    "english": "Shared definition supplied once for this stateless question: x is mean-outcome(D) asserts that x equals the probability-weighted arithmetic mean under D. x is likeliest-outcome(D) asserts that x has the highest aggregated outcome mass under D, with ties allowed. These definitions also govern the corresponding English phrases. They do not guarantee a trial result or certify the model. Fictional simulated inventory model D626, version v3 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive, exact rational masses, not rounded observations: value 1 units with mass 2/5; value 3 units with mass 3/10; value 6 units with mass 3/10. Add masses of paths with the same value. Mean is the probability-weighted arithmetic mean; most probable compares aggregated value masses and allows ties. Here x = 2 units. No claim that the model is correct or guarantees a trial is supplied. Statement: Under D626, 2 units has the highest outcome probability, ties allowed.",
    "ainglish": "Shared definition supplied once for this stateless question: x is mean-outcome(D) asserts that x equals the probability-weighted arithmetic mean under D. x is likeliest-outcome(D) asserts that x has the highest aggregated outcome mass under D, with ties allowed. These definitions also govern the corresponding English phrases. They do not guarantee a trial result or certify the model. Fictional simulated inventory model D626, version v3 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive, exact rational masses, not rounded observations: value 1 units with mass 2/5; value 3 units with mass 3/10; value 6 units with mass 3/10. Add masses of paths with the same value. Mean is the probability-weighted arithmetic mean; most probable compares aggregated value masses and allows ties. Here x = 2 units. No claim that the model is correct or guarantees a trial is supplied. Statement: 2 units is likeliest-outcome(D626).",
    "question": "Evaluate the claim, whether x can actually occur, whether x alone is most probable, and whether the next result is guaranteed to equal x.",
    "options": [
      "Claim true: yes; x possible: yes; x unique most probable: yes; next result guaranteed x: yes.",
      "Claim true: yes; x possible: yes; x unique most probable: yes; next result guaranteed x: no.",
      "Claim true: yes; x possible: yes; x unique most probable: no; next result guaranteed x: yes.",
      "Claim true: yes; x possible: yes; x unique most probable: no; next result guaranteed x: no.",
      "Claim true: yes; x possible: no; x unique most probable: yes; next result guaranteed x: yes.",
      "Claim true: yes; x possible: no; x unique most probable: yes; next result guaranteed x: no.",
      "Claim true: yes; x possible: no; x unique most probable: no; next result guaranteed x: yes.",
      "Claim true: yes; x possible: no; x unique most probable: no; next result guaranteed x: no.",
      "Claim true: no; x possible: yes; x unique most probable: yes; next result guaranteed x: yes.",
      "Claim true: no; x possible: yes; x unique most probable: yes; next result guaranteed x: no.",
      "Claim true: no; x possible: yes; x unique most probable: no; next result guaranteed x: yes.",
      "Claim true: no; x possible: yes; x unique most probable: no; next result guaranteed x: no.",
      "Claim true: no; x possible: no; x unique most probable: yes; next result guaranteed x: yes.",
      "Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: no.",
      "Claim true: no; x possible: no; x unique most probable: yes; next result guaranteed x: no.",
      "Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: yes."
    ],
    "answer": "Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: no.",
    "settlement_stratum": "likeliest-outcome",
    "domain": "simulated inventory",
    "boundary": "mode-below-half",
    "variant": 1,
    "oracle": {
      "mean": "31/10",
      "modes": [
        "1"
      ],
      "value": "2",
      "flags": [
        false,
        false,
        false,
        false
      ],
      "masses": {
        "1": "2/5",
        "3": "3/10",
        "6": "3/10"
      }
    }
  },
  {
    "id": "outcome-careful-outcome-full-206",
    "english": "Shared definition supplied once for this stateless question: x is mean-outcome(D) asserts that x equals the probability-weighted arithmetic mean under D. x is likeliest-outcome(D) asserts that x has the highest aggregated outcome mass under D, with ties allowed. These definitions also govern the corresponding English phrases. They do not guarantee a trial result or certify the model. Fictional simulated inventory model D627, version v3 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive, exact rational masses, not rounded observations: value 2 units with mass 2/5; value 4 units with mass 3/10; value 7 units with mass 3/10. Add masses of paths with the same value. Mean is the probability-weighted arithmetic mean; most probable compares aggregated value masses and allows ties. Here x = 2 units. No claim that the model is correct or guarantees a trial is supplied. Statement: Under D627, 2 units has the highest outcome probability, ties allowed.",
    "ainglish": "Shared definition supplied once for this stateless question: x is mean-outcome(D) asserts that x equals the probability-weighted arithmetic mean under D. x is likeliest-outcome(D) asserts that x has the highest aggregated outcome mass under D, with ties allowed. These definitions also govern the corresponding English phrases. They do not guarantee a trial result or certify the model. Fictional simulated inventory model D627, version v3 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive, exact rational masses, not rounded observations: value 2 units with mass 2/5; value 4 units with mass 3/10; value 7 units with mass 3/10. Add masses of paths with the same value. Mean is the probability-weighted arithmetic mean; most probable compares aggregated value masses and allows ties. Here x = 2 units. No claim that the model is correct or guarantees a trial is supplied. Statement: 2 units is likeliest-outcome(D627).",
    "question": "Evaluate the claim, whether x can actually occur, whether x alone is most probable, and whether the next result is guaranteed to equal x.",
    "options": [
      "Claim true: yes; x possible: yes; x unique most probable: yes; next result guaranteed x: yes.",
      "Claim true: yes; x possible: yes; x unique most probable: no; next result guaranteed x: yes.",
      "Claim true: yes; x possible: yes; x unique most probable: no; next result guaranteed x: no.",
      "Claim true: yes; x possible: no; x unique most probable: yes; next result guaranteed x: yes.",
      "Claim true: yes; x possible: no; x unique most probable: yes; next result guaranteed x: no.",
      "Claim true: yes; x possible: no; x unique most probable: no; next result guaranteed x: yes.",
      "Claim true: yes; x possible: no; x unique most probable: no; next result guaranteed x: no.",
      "Claim true: no; x possible: yes; x unique most probable: yes; next result guaranteed x: yes.",
      "Claim true: no; x possible: yes; x unique most probable: yes; next result guaranteed x: no.",
      "Claim true: no; x possible: yes; x unique most probable: no; next result guaranteed x: yes.",
      "Claim true: no; x possible: yes; x unique most probable: no; next result guaranteed x: no.",
      "Claim true: no; x possible: no; x unique most probable: yes; next result guaranteed x: yes.",
      "Claim true: no; x possible: no; x unique most probable: yes; next result guaranteed x: no.",
      "Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: yes.",
      "Claim true: yes; x possible: yes; x unique most probable: yes; next result guaranteed x: no.",
      "Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: no."
    ],
    "answer": "Claim true: yes; x possible: yes; x unique most probable: yes; next result guaranteed x: no.",
    "settlement_stratum": "likeliest-outcome",
    "domain": "simulated inventory",
    "boundary": "mode-below-half",
    "variant": 2,
    "oracle": {
      "mean": "41/10",
      "modes": [
        "2"
      ],
      "value": "2",
      "flags": [
        true,
        true,
        true,
        false
      ],
      "masses": {
        "2": "2/5",
        "4": "3/10",
        "7": "3/10"
      }
    }
  },
  {
    "id": "outcome-careful-outcome-full-207",
    "english": "Shared definition supplied once for this stateless question: x is mean-outcome(D) asserts that x equals the probability-weighted arithmetic mean under D. x is likeliest-outcome(D) asserts that x has the highest aggregated outcome mass under D, with ties allowed. These definitions also govern the corresponding English phrases. They do not guarantee a trial result or certify the model. Fictional simulated inventory model D628, version v3 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive, exact rational masses, not rounded observations: value 3 units with mass 2/5; value 5 units with mass 3/10; value 8 units with mass 3/10. Add masses of paths with the same value. Mean is the probability-weighted arithmetic mean; most probable compares aggregated value masses and allows ties. Here x = 4 units. No claim that the model is correct or guarantees a trial is supplied. Statement: Under D628, 4 units has the highest outcome probability, ties allowed.",
    "ainglish": "Shared definition supplied once for this stateless question: x is mean-outcome(D) asserts that x equals the probability-weighted arithmetic mean under D. x is likeliest-outcome(D) asserts that x has the highest aggregated outcome mass under D, with ties allowed. These definitions also govern the corresponding English phrases. They do not guarantee a trial result or certify the model. Fictional simulated inventory model D628, version v3 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive, exact rational masses, not rounded observations: value 3 units with mass 2/5; value 5 units with mass 3/10; value 8 units with mass 3/10. Add masses of paths with the same value. Mean is the probability-weighted arithmetic mean; most probable compares aggregated value masses and allows ties. Here x = 4 units. No claim that the model is correct or guarantees a trial is supplied. Statement: 4 units is likeliest-outcome(D628).",
    "question": "Evaluate the claim, whether x can actually occur, whether x alone is most probable, and whether the next result is guaranteed to equal x.",
    "options": [
      "Claim true: yes; x possible: yes; x unique most probable: yes; next result guaranteed x: yes.",
      "Claim true: yes; x possible: yes; x unique most probable: yes; next result guaranteed x: no.",
      "Claim true: yes; x possible: yes; x unique most probable: no; next result guaranteed x: yes.",
      "Claim true: yes; x possible: yes; x unique most probable: no; next result guaranteed x: no.",
      "Claim true: yes; x possible: no; x unique most probable: yes; next result guaranteed x: yes.",
      "Claim true: yes; x possible: no; x unique most probable: yes; next result guaranteed x: no.",
      "Claim true: yes; x possible: no; x unique most probable: no; next result guaranteed x: yes.",
      "Claim true: yes; x possible: no; x unique most probable: no; next result guaranteed x: no.",
      "Claim true: no; x possible: yes; x unique most probable: yes; next result guaranteed x: yes.",
      "Claim true: no; x possible: yes; x unique most probable: yes; next result guaranteed x: no.",
      "Claim true: no; x possible: yes; x unique most probable: no; next result guaranteed x: yes.",
      "Claim true: no; x possible: yes; x unique most probable: no; next result guaranteed x: no.",
      "Claim true: no; x possible: no; x unique most probable: yes; next result guaranteed x: yes.",
      "Claim true: no; x possible: no; x unique most probable: yes; next result guaranteed x: no.",
      "Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: yes.",
      "Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: no."
    ],
    "answer": "Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: no.",
    "settlement_stratum": "likeliest-outcome",
    "domain": "simulated inventory",
    "boundary": "mode-below-half",
    "variant": 3,
    "oracle": {
      "mean": "51/10",
      "modes": [
        "3"
      ],
      "value": "4",
      "flags": [
        false,
        false,
        false,
        false
      ],
      "masses": {
        "3": "2/5",
        "5": "3/10",
        "8": "3/10"
      }
    }
  },
  {
    "id": "outcome-careful-outcome-full-208",
    "english": "Shared definition supplied once for this stateless question: x is mean-outcome(D) asserts that x equals the probability-weighted arithmetic mean under D. x is likeliest-outcome(D) asserts that x has the highest aggregated outcome mass under D, with ties allowed. These definitions also govern the corresponding English phrases. They do not guarantee a trial result or certify the model. Fictional simulated inventory model D629, version v3 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive, exact rational masses, not rounded observations: value 1 units with mass 2/5; value 3 units with mass 2/5; value 7 units with mass 1/5. Add masses of paths with the same value. Mean is the probability-weighted arithmetic mean; most probable compares aggregated value masses and allows ties. Here x = 1 units. No claim that the model is correct or guarantees a trial is supplied. Statement: Under D629, 1 units has the highest outcome probability, ties allowed.",
    "ainglish": "Shared definition supplied once for this stateless question: x is mean-outcome(D) asserts that x equals the probability-weighted arithmetic mean under D. x is likeliest-outcome(D) asserts that x has the highest aggregated outcome mass under D, with ties allowed. These definitions also govern the corresponding English phrases. They do not guarantee a trial result or certify the model. Fictional simulated inventory model D629, version v3 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive, exact rational masses, not rounded observations: value 1 units with mass 2/5; value 3 units with mass 2/5; value 7 units with mass 1/5. Add masses of paths with the same value. Mean is the probability-weighted arithmetic mean; most probable compares aggregated value masses and allows ties. Here x = 1 units. No claim that the model is correct or guarantees a trial is supplied. Statement: 1 units is likeliest-outcome(D629).",
    "question": "Evaluate the claim, whether x can actually occur, whether x alone is most probable, and whether the next result is guaranteed to equal x.",
    "options": [
      "Claim true: yes; x possible: yes; x unique most probable: no; next result guaranteed x: no.",
      "Claim true: yes; x possible: yes; x unique most probable: yes; next result guaranteed x: yes.",
      "Claim true: yes; x possible: yes; x unique most probable: yes; next result guaranteed x: no.",
      "Claim true: yes; x possible: yes; x unique most probable: no; next result guaranteed x: yes.",
      "Claim true: yes; x possible: no; x unique most probable: yes; next result guaranteed x: yes.",
      "Claim true: yes; x possible: no; x unique most probable: yes; next result guaranteed x: no.",
      "Claim true: yes; x possible: no; x unique most probable: no; next result guaranteed x: yes.",
      "Claim true: yes; x possible: no; x unique most probable: no; next result guaranteed x: no.",
      "Claim true: no; x possible: yes; x unique most probable: yes; next result guaranteed x: yes.",
      "Claim true: no; x possible: yes; x unique most probable: yes; next result guaranteed x: no.",
      "Claim true: no; x possible: yes; x unique most probable: no; next result guaranteed x: yes.",
      "Claim true: no; x possible: yes; x unique most probable: no; next result guaranteed x: no.",
      "Claim true: no; x possible: no; x unique most probable: yes; next result guaranteed x: yes.",
      "Claim true: no; x possible: no; x unique most probable: yes; next result guaranteed x: no.",
      "Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: yes.",
      "Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: no."
    ],
    "answer": "Claim true: yes; x possible: yes; x unique most probable: no; next result guaranteed x: no.",
    "settlement_stratum": "likeliest-outcome",
    "domain": "simulated inventory",
    "boundary": "tied-modes",
    "variant": 0,
    "oracle": {
      "mean": "3",
      "modes": [
        "1",
        "3"
      ],
      "value": "1",
      "flags": [
        true,
        true,
        false,
        false
      ],
      "masses": {
        "1": "2/5",
        "3": "2/5",
        "7": "1/5"
      }
    }
  },
  {
    "id": "outcome-careful-outcome-full-209",
    "english": "Shared definition supplied once for this stateless question: x is mean-outcome(D) asserts that x equals the probability-weighted arithmetic mean under D. x is likeliest-outcome(D) asserts that x has the highest aggregated outcome mass under D, with ties allowed. These definitions also govern the corresponding English phrases. They do not guarantee a trial result or certify the model. Fictional simulated inventory model D630, version v3 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive, exact rational masses, not rounded observations: value 2 units with mass 2/5; value 4 units with mass 2/5; value 8 units with mass 1/5. Add masses of paths with the same value. Mean is the probability-weighted arithmetic mean; most probable compares aggregated value masses and allows ties. Here x = 3 units. No claim that the model is correct or guarantees a trial is supplied. Statement: Under D630, 3 units has the highest outcome probability, ties allowed.",
    "ainglish": "Shared definition supplied once for this stateless question: x is mean-outcome(D) asserts that x equals the probability-weighted arithmetic mean under D. x is likeliest-outcome(D) asserts that x has the highest aggregated outcome mass under D, with ties allowed. These definitions also govern the corresponding English phrases. They do not guarantee a trial result or certify the model. Fictional simulated inventory model D630, version v3 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive, exact rational masses, not rounded observations: value 2 units with mass 2/5; value 4 units with mass 2/5; value 8 units with mass 1/5. Add masses of paths with the same value. Mean is the probability-weighted arithmetic mean; most probable compares aggregated value masses and allows ties. Here x = 3 units. No claim that the model is correct or guarantees a trial is supplied. Statement: 3 units is likeliest-outcome(D630).",
    "question": "Evaluate the claim, whether x can actually occur, whether x alone is most probable, and whether the next result is guaranteed to equal x.",
    "options": [
      "Claim true: yes; x possible: yes; x unique most probable: yes; next result guaranteed x: yes.",
      "Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: no.",
      "Claim true: yes; x possible: yes; x unique most probable: yes; next result guaranteed x: no.",
      "Claim true: yes; x possible: yes; x unique most probable: no; next result guaranteed x: yes.",
      "Claim true: yes; x possible: yes; x unique most probable: no; next result guaranteed x: no.",
      "Claim true: yes; x possible: no; x unique most probable: yes; next result guaranteed x: yes.",
      "Claim true: yes; x possible: no; x unique most probable: yes; next result guaranteed x: no.",
      "Claim true: yes; x possible: no; x unique most probable: no; next result guaranteed x: yes.",
      "Claim true: yes; x possible: no; x unique most probable: no; next result guaranteed x: no.",
      "Claim true: no; x possible: yes; x unique most probable: yes; next result guaranteed x: yes.",
      "Claim true: no; x possible: yes; x unique most probable: yes; next result guaranteed x: no.",
      "Claim true: no; x possible: yes; x unique most probable: no; next result guaranteed x: yes.",
      "Claim true: no; x possible: yes; x unique most probable: no; next result guaranteed x: no.",
      "Claim true: no; x possible: no; x unique most probable: yes; next result guaranteed x: yes.",
      "Claim true: no; x possible: no; x unique most probable: yes; next result guaranteed x: no.",
      "Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: yes."
    ],
    "answer": "Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: no.",
    "settlement_stratum": "likeliest-outcome",
    "domain": "simulated inventory",
    "boundary": "tied-modes",
    "variant": 1,
    "oracle": {
      "mean": "4",
      "modes": [
        "2",
        "4"
      ],
      "value": "3",
      "flags": [
        false,
        false,
        false,
        false
      ],
      "masses": {
        "2": "2/5",
        "4": "2/5",
        "8": "1/5"
      }
    }
  },
  {
    "id": "outcome-careful-outcome-full-210",
    "english": "Shared definition supplied once for this stateless question: x is mean-outcome(D) asserts that x equals the probability-weighted arithmetic mean under D. x is likeliest-outcome(D) asserts that x has the highest aggregated outcome mass under D, with ties allowed. These definitions also govern the corresponding English phrases. They do not guarantee a trial result or certify the model. Fictional simulated inventory model D631, version v3 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive, exact rational masses, not rounded observations: value 3 units with mass 2/5; value 5 units with mass 2/5; value 9 units with mass 1/5. Add masses of paths with the same value. Mean is the probability-weighted arithmetic mean; most probable compares aggregated value masses and allows ties. Here x = 3 units. No claim that the model is correct or guarantees a trial is supplied. Statement: Under D631, 3 units has the highest outcome probability, ties allowed.",
    "ainglish": "Shared definition supplied once for this stateless question: x is mean-outcome(D) asserts that x equals the probability-weighted arithmetic mean under D. x is likeliest-outcome(D) asserts that x has the highest aggregated outcome mass under D, with ties allowed. These definitions also govern the corresponding English phrases. They do not guarantee a trial result or certify the model. Fictional simulated inventory model D631, version v3 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive, exact rational masses, not rounded observations: value 3 units with mass 2/5; value 5 units with mass 2/5; value 9 units with mass 1/5. Add masses of paths with the same value. Mean is the probability-weighted arithmetic mean; most probable compares aggregated value masses and allows ties. Here x = 3 units. No claim that the model is correct or guarantees a trial is supplied. Statement: 3 units is likeliest-outcome(D631).",
    "question": "Evaluate the claim, whether x can actually occur, whether x alone is most probable, and whether the next result is guaranteed to equal x.",
    "options": [
      "Claim true: yes; x possible: yes; x unique most probable: yes; next result guaranteed x: yes.",
      "Claim true: yes; x possible: yes; x unique most probable: yes; next result guaranteed x: no.",
      "Claim true: yes; x possible: yes; x unique most probable: no; next result guaranteed x: no.",
      "Claim true: yes; x possible: yes; x unique most probable: no; next result guaranteed x: yes.",
      "Claim true: yes; x possible: no; x unique most probable: yes; next result guaranteed x: yes.",
      "Claim true: yes; x possible: no; x unique most probable: yes; next result guaranteed x: no.",
      "Claim true: yes; x possible: no; x unique most probable: no; next result guaranteed x: yes.",
      "Claim true: yes; x possible: no; x unique most probable: no; next result guaranteed x: no.",
      "Claim true: no; x possible: yes; x unique most probable: yes; next result guaranteed x: yes.",
      "Claim true: no; x possible: yes; x unique most probable: yes; next result guaranteed x: no.",
      "Claim true: no; x possible: yes; x unique most probable: no; next result guaranteed x: yes.",
      "Claim true: no; x possible: yes; x unique most probable: no; next result guaranteed x: no.",
      "Claim true: no; x possible: no; x unique most probable: yes; next result guaranteed x: yes.",
      "Claim true: no; x possible: no; x unique most probable: yes; next result guaranteed x: no.",
      "Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: yes.",
      "Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: no."
    ],
    "answer": "Claim true: yes; x possible: yes; x unique most probable: no; next result guaranteed x: no.",
    "settlement_stratum": "likeliest-outcome",
    "domain": "simulated inventory",
    "boundary": "tied-modes",
    "variant": 2,
    "oracle": {
      "mean": "5",
      "modes": [
        "3",
        "5"
      ],
      "value": "3",
      "flags": [
        true,
        true,
        false,
        false
      ],
      "masses": {
        "3": "2/5",
        "5": "2/5",
        "9": "1/5"
      }
    }
  },
  {
    "id": "outcome-careful-outcome-full-211",
    "english": "Shared definition supplied once for this stateless question: x is mean-outcome(D) asserts that x equals the probability-weighted arithmetic mean under D. x is likeliest-outcome(D) asserts that x has the highest aggregated outcome mass under D, with ties allowed. These definitions also govern the corresponding English phrases. They do not guarantee a trial result or certify the model. Fictional simulated inventory model D632, version v3 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive, exact rational masses, not rounded observations: value 4 units with mass 2/5; value 6 units with mass 2/5; value 10 units with mass 1/5. Add masses of paths with the same value. Mean is the probability-weighted arithmetic mean; most probable compares aggregated value masses and allows ties. Here x = 5 units. No claim that the model is correct or guarantees a trial is supplied. Statement: Under D632, 5 units has the highest outcome probability, ties allowed.",
    "ainglish": "Shared definition supplied once for this stateless question: x is mean-outcome(D) asserts that x equals the probability-weighted arithmetic mean under D. x is likeliest-outcome(D) asserts that x has the highest aggregated outcome mass under D, with ties allowed. These definitions also govern the corresponding English phrases. They do not guarantee a trial result or certify the model. Fictional simulated inventory model D632, version v3 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive, exact rational masses, not rounded observations: value 4 units with mass 2/5; value 6 units with mass 2/5; value 10 units with mass 1/5. Add masses of paths with the same value. Mean is the probability-weighted arithmetic mean; most probable compares aggregated value masses and allows ties. Here x = 5 units. No claim that the model is correct or guarantees a trial is supplied. Statement: 5 units is likeliest-outcome(D632).",
    "question": "Evaluate the claim, whether x can actually occur, whether x alone is most probable, and whether the next result is guaranteed to equal x.",
    "options": [
      "Claim true: yes; x possible: yes; x unique most probable: yes; next result guaranteed x: yes.",
      "Claim true: yes; x possible: yes; x unique most probable: yes; next result guaranteed x: no.",
      "Claim true: yes; x possible: yes; x unique most probable: no; next result guaranteed x: yes.",
      "Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: no.",
      "Claim true: yes; x possible: yes; x unique most probable: no; next result guaranteed x: no.",
      "Claim true: yes; x possible: no; x unique most probable: yes; next result guaranteed x: yes.",
      "Claim true: yes; x possible: no; x unique most probable: yes; next result guaranteed x: no.",
      "Claim true: yes; x possible: no; x unique most probable: no; next result guaranteed x: yes.",
      "Claim true: yes; x possible: no; x unique most probable: no; next result guaranteed x: no.",
      "Claim true: no; x possible: yes; x unique most probable: yes; next result guaranteed x: yes.",
      "Claim true: no; x possible: yes; x unique most probable: yes; next result guaranteed x: no.",
      "Claim true: no; x possible: yes; x unique most probable: no; next result guaranteed x: yes.",
      "Claim true: no; x possible: yes; x unique most probable: no; next result guaranteed x: no.",
      "Claim true: no; x possible: no; x unique most probable: yes; next result guaranteed x: yes.",
      "Claim true: no; x possible: no; x unique most probable: yes; next result guaranteed x: no.",
      "Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: yes."
    ],
    "answer": "Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: no.",
    "settlement_stratum": "likeliest-outcome",
    "domain": "simulated inventory",
    "boundary": "tied-modes",
    "variant": 3,
    "oracle": {
      "mean": "6",
      "modes": [
        "4",
        "6"
      ],
      "value": "5",
      "flags": [
        false,
        false,
        false,
        false
      ],
      "masses": {
        "4": "2/5",
        "6": "2/5",
        "10": "1/5"
      }
    }
  },
  {
    "id": "outcome-careful-outcome-full-212",
    "english": "Shared definition supplied once for this stateless question: x is mean-outcome(D) asserts that x equals the probability-weighted arithmetic mean under D. x is likeliest-outcome(D) asserts that x has the highest aggregated outcome mass under D, with ties allowed. These definitions also govern the corresponding English phrases. They do not guarantee a trial result or certify the model. Fictional simulated inventory model D633, version v3 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive, exact rational masses, not rounded observations: value 0 units with mass 1/4; value 2 units with mass 1/2; value 4 units with mass 1/4. Add masses of paths with the same value. Mean is the probability-weighted arithmetic mean; most probable compares aggregated value masses and allows ties. Here x = 2 units. No claim that the model is correct or guarantees a trial is supplied. Statement: Under D633, 2 units has the highest outcome probability, ties allowed.",
    "ainglish": "Shared definition supplied once for this stateless question: x is mean-outcome(D) asserts that x equals the probability-weighted arithmetic mean under D. x is likeliest-outcome(D) asserts that x has the highest aggregated outcome mass under D, with ties allowed. These definitions also govern the corresponding English phrases. They do not guarantee a trial result or certify the model. Fictional simulated inventory model D633, version v3 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive, exact rational masses, not rounded observations: value 0 units with mass 1/4; value 2 units with mass 1/2; value 4 units with mass 1/4. Add masses of paths with the same value. Mean is the probability-weighted arithmetic mean; most probable compares aggregated value masses and allows ties. Here x = 2 units. No claim that the model is correct or guarantees a trial is supplied. Statement: 2 units is likeliest-outcome(D633).",
    "question": "Evaluate the claim, whether x can actually occur, whether x alone is most probable, and whether the next result is guaranteed to equal x.",
    "options": [
      "Claim true: yes; x possible: yes; x unique most probable: yes; next result guaranteed x: yes.",
      "Claim true: yes; x possible: yes; x unique most probable: no; next result guaranteed x: yes.",
      "Claim true: yes; x possible: yes; x unique most probable: no; next result guaranteed x: no.",
      "Claim true: yes; x possible: no; x unique most probable: yes; next result guaranteed x: yes.",
      "Claim true: yes; x possible: yes; x unique most probable: yes; next result guaranteed x: no.",
      "Claim true: yes; x possible: no; x unique most probable: yes; next result guaranteed x: no.",
      "Claim true: yes; x possible: no; x unique most probable: no; next result guaranteed x: yes.",
      "Claim true: yes; x possible: no; x unique most probable: no; next result guaranteed x: no.",
      "Claim true: no; x possible: yes; x unique most probable: yes; next result guaranteed x: yes.",
      "Claim true: no; x possible: yes; x unique most probable: yes; next result guaranteed x: no.",
      "Claim true: no; x possible: yes; x unique most probable: no; next result guaranteed x: yes.",
      "Claim true: no; x possible: yes; x unique most probable: no; next result guaranteed x: no.",
      "Claim true: no; x possible: no; x unique most probable: yes; next result guaranteed x: yes.",
      "Claim true: no; x possible: no; x unique most probable: yes; next result guaranteed x: no.",
      "Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: yes.",
      "Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: no."
    ],
    "answer": "Claim true: yes; x possible: yes; x unique most probable: yes; next result guaranteed x: no.",
    "settlement_stratum": "likeliest-outcome",
    "domain": "simulated inventory",
    "boundary": "mean-is-mode",
    "variant": 0,
    "oracle": {
      "mean": "2",
      "modes": [
        "2"
      ],
      "value": "2",
      "flags": [
        true,
        true,
        true,
        false
      ],
      "masses": {
        "0": "1/4",
        "2": "1/2",
        "4": "1/4"
      }
    }
  },
  {
    "id": "outcome-careful-outcome-full-213",
    "english": "Shared definition supplied once for this stateless question: x is mean-outcome(D) asserts that x equals the probability-weighted arithmetic mean under D. x is likeliest-outcome(D) asserts that x has the highest aggregated outcome mass under D, with ties allowed. These definitions also govern the corresponding English phrases. They do not guarantee a trial result or certify the model. Fictional simulated inventory model D634, version v3 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive, exact rational masses, not rounded observations: value 1 units with mass 1/4; value 3 units with mass 1/2; value 5 units with mass 1/4. Add masses of paths with the same value. Mean is the probability-weighted arithmetic mean; most probable compares aggregated value masses and allows ties. Here x = 4 units. No claim that the model is correct or guarantees a trial is supplied. Statement: Under D634, 4 units has the highest outcome probability, ties allowed.",
    "ainglish": "Shared definition supplied once for this stateless question: x is mean-outcome(D) asserts that x equals the probability-weighted arithmetic mean under D. x is likeliest-outcome(D) asserts that x has the highest aggregated outcome mass under D, with ties allowed. These definitions also govern the corresponding English phrases. They do not guarantee a trial result or certify the model. Fictional simulated inventory model D634, version v3 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive, exact rational masses, not rounded observations: value 1 units with mass 1/4; value 3 units with mass 1/2; value 5 units with mass 1/4. Add masses of paths with the same value. Mean is the probability-weighted arithmetic mean; most probable compares aggregated value masses and allows ties. Here x = 4 units. No claim that the model is correct or guarantees a trial is supplied. Statement: 4 units is likeliest-outcome(D634).",
    "question": "Evaluate the claim, whether x can actually occur, whether x alone is most probable, and whether the next result is guaranteed to equal x.",
    "options": [
      "Claim true: yes; x possible: yes; x unique most probable: yes; next result guaranteed x: yes.",
      "Claim true: yes; x possible: yes; x unique most probable: yes; next result guaranteed x: no.",
      "Claim true: yes; x possible: yes; x unique most probable: no; next result guaranteed x: yes.",
      "Claim true: yes; x possible: yes; x unique most probable: no; next result guaranteed x: no.",
      "Claim true: yes; x possible: no; x unique most probable: yes; next result guaranteed x: yes.",
      "Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: no.",
      "Claim true: yes; x possible: no; x unique most probable: yes; next result guaranteed x: no.",
      "Claim true: yes; x possible: no; x unique most probable: no; next result guaranteed x: yes.",
      "Claim true: yes; x possible: no; x unique most probable: no; next result guaranteed x: no.",
      "Claim true: no; x possible: yes; x unique most probable: yes; next result guaranteed x: yes.",
      "Claim true: no; x possible: yes; x unique most probable: yes; next result guaranteed x: no.",
      "Claim true: no; x possible: yes; x unique most probable: no; next result guaranteed x: yes.",
      "Claim true: no; x possible: yes; x unique most probable: no; next result guaranteed x: no.",
      "Claim true: no; x possible: no; x unique most probable: yes; next result guaranteed x: yes.",
      "Claim true: no; x possible: no; x unique most probable: yes; next result guaranteed x: no.",
      "Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: yes."
    ],
    "answer": "Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: no.",
    "settlement_stratum": "likeliest-outcome",
    "domain": "simulated inventory",
    "boundary": "mean-is-mode",
    "variant": 1,
    "oracle": {
      "mean": "3",
      "modes": [
        "3"
      ],
      "value": "4",
      "flags": [
        false,
        false,
        false,
        false
      ],
      "masses": {
        "1": "1/4",
        "3": "1/2",
        "5": "1/4"
      }
    }
  },
  {
    "id": "outcome-careful-outcome-full-214",
    "english": "Shared definition supplied once for this stateless question: x is mean-outcome(D) asserts that x equals the probability-weighted arithmetic mean under D. x is likeliest-outcome(D) asserts that x has the highest aggregated outcome mass under D, with ties allowed. These definitions also govern the corresponding English phrases. They do not guarantee a trial result or certify the model. Fictional simulated inventory model D635, version v3 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive, exact rational masses, not rounded observations: value 2 units with mass 1/4; value 4 units with mass 1/2; value 6 units with mass 1/4. Add masses of paths with the same value. Mean is the probability-weighted arithmetic mean; most probable compares aggregated value masses and allows ties. Here x = 4 units. No claim that the model is correct or guarantees a trial is supplied. Statement: Under D635, 4 units has the highest outcome probability, ties allowed.",
    "ainglish": "Shared definition supplied once for this stateless question: x is mean-outcome(D) asserts that x equals the probability-weighted arithmetic mean under D. x is likeliest-outcome(D) asserts that x has the highest aggregated outcome mass under D, with ties allowed. These definitions also govern the corresponding English phrases. They do not guarantee a trial result or certify the model. Fictional simulated inventory model D635, version v3 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive, exact rational masses, not rounded observations: value 2 units with mass 1/4; value 4 units with mass 1/2; value 6 units with mass 1/4. Add masses of paths with the same value. Mean is the probability-weighted arithmetic mean; most probable compares aggregated value masses and allows ties. Here x = 4 units. No claim that the model is correct or guarantees a trial is supplied. Statement: 4 units is likeliest-outcome(D635).",
    "question": "Evaluate the claim, whether x can actually occur, whether x alone is most probable, and whether the next result is guaranteed to equal x.",
    "options": [
      "Claim true: yes; x possible: yes; x unique most probable: yes; next result guaranteed x: yes.",
      "Claim true: yes; x possible: yes; x unique most probable: no; next result guaranteed x: yes.",
      "Claim true: yes; x possible: yes; x unique most probable: no; next result guaranteed x: no.",
      "Claim true: yes; x possible: no; x unique most probable: yes; next result guaranteed x: yes.",
      "Claim true: yes; x possible: no; x unique most probable: yes; next result guaranteed x: no.",
      "Claim true: yes; x possible: no; x unique most probable: no; next result guaranteed x: yes.",
      "Claim true: yes; x possible: yes; x unique most probable: yes; next result guaranteed x: no.",
      "Claim true: yes; x possible: no; x unique most probable: no; next result guaranteed x: no.",
      "Claim true: no; x possible: yes; x unique most probable: yes; next result guaranteed x: yes.",
      "Claim true: no; x possible: yes; x unique most probable: yes; next result guaranteed x: no.",
      "Claim true: no; x possible: yes; x unique most probable: no; next result guaranteed x: yes.",
      "Claim true: no; x possible: yes; x unique most probable: no; next result guaranteed x: no.",
      "Claim true: no; x possible: no; x unique most probable: yes; next result guaranteed x: yes.",
      "Claim true: no; x possible: no; x unique most probable: yes; next result guaranteed x: no.",
      "Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: yes.",
      "Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: no."
    ],
    "answer": "Claim true: yes; x possible: yes; x unique most probable: yes; next result guaranteed x: no.",
    "settlement_stratum": "likeliest-outcome",
    "domain": "simulated inventory",
    "boundary": "mean-is-mode",
    "variant": 2,
    "oracle": {
      "mean": "4",
      "modes": [
        "4"
      ],
      "value": "4",
      "flags": [
        true,
        true,
        true,
        false
      ],
      "masses": {
        "2": "1/4",
        "4": "1/2",
        "6": "1/4"
      }
    }
  },
  {
    "id": "outcome-careful-outcome-full-215",
    "english": "Shared definition supplied once for this stateless question: x is mean-outcome(D) asserts that x equals the probability-weighted arithmetic mean under D. x is likeliest-outcome(D) asserts that x has the highest aggregated outcome mass under D, with ties allowed. These definitions also govern the corresponding English phrases. They do not guarantee a trial result or certify the model. Fictional simulated inventory model D636, version v3 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive, exact rational masses, not rounded observations: value 3 units with mass 1/4; value 5 units with mass 1/2; value 7 units with mass 1/4. Add masses of paths with the same value. Mean is the probability-weighted arithmetic mean; most probable compares aggregated value masses and allows ties. Here x = 6 units. No claim that the model is correct or guarantees a trial is supplied. Statement: Under D636, 6 units has the highest outcome probability, ties allowed.",
    "ainglish": "Shared definition supplied once for this stateless question: x is mean-outcome(D) asserts that x equals the probability-weighted arithmetic mean under D. x is likeliest-outcome(D) asserts that x has the highest aggregated outcome mass under D, with ties allowed. These definitions also govern the corresponding English phrases. They do not guarantee a trial result or certify the model. Fictional simulated inventory model D636, version v3 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive, exact rational masses, not rounded observations: value 3 units with mass 1/4; value 5 units with mass 1/2; value 7 units with mass 1/4. Add masses of paths with the same value. Mean is the probability-weighted arithmetic mean; most probable compares aggregated value masses and allows ties. Here x = 6 units. No claim that the model is correct or guarantees a trial is supplied. Statement: 6 units is likeliest-outcome(D636).",
    "question": "Evaluate the claim, whether x can actually occur, whether x alone is most probable, and whether the next result is guaranteed to equal x.",
    "options": [
      "Claim true: yes; x possible: yes; x unique most probable: yes; next result guaranteed x: yes.",
      "Claim true: yes; x possible: yes; x unique most probable: yes; next result guaranteed x: no.",
      "Claim true: yes; x possible: yes; x unique most probable: no; next result guaranteed x: yes.",
      "Claim true: yes; x possible: yes; x unique most probable: no; next result guaranteed x: no.",
      "Claim true: yes; x possible: no; x unique most probable: yes; next result guaranteed x: yes.",
      "Claim true: yes; x possible: no; x unique most probable: yes; next result guaranteed x: no.",
      "Claim true: yes; x possible: no; x unique most probable: no; next result guaranteed x: yes.",
      "Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: no.",
      "Claim true: yes; x possible: no; x unique most probable: no; next result guaranteed x: no.",
      "Claim true: no; x possible: yes; x unique most probable: yes; next result guaranteed x: yes.",
      "Claim true: no; x possible: yes; x unique most probable: yes; next result guaranteed x: no.",
      "Claim true: no; x possible: yes; x unique most probable: no; next result guaranteed x: yes.",
      "Claim true: no; x possible: yes; x unique most probable: no; next result guaranteed x: no.",
      "Claim true: no; x possible: no; x unique most probable: yes; next result guaranteed x: yes.",
      "Claim true: no; x possible: no; x unique most probable: yes; next result guaranteed x: no.",
      "Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: yes."
    ],
    "answer": "Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: no.",
    "settlement_stratum": "likeliest-outcome",
    "domain": "simulated inventory",
    "boundary": "mean-is-mode",
    "variant": 3,
    "oracle": {
      "mean": "5",
      "modes": [
        "5"
      ],
      "value": "6",
      "flags": [
        false,
        false,
        false,
        false
      ],
      "masses": {
        "3": "1/4",
        "5": "1/2",
        "7": "1/4"
      }
    }
  },
  {
    "id": "outcome-careful-outcome-full-216",
    "english": "Shared definition supplied once for this stateless question: x is mean-outcome(D) asserts that x equals the probability-weighted arithmetic mean under D. x is likeliest-outcome(D) asserts that x has the highest aggregated outcome mass under D, with ties allowed. These definitions also govern the corresponding English phrases. They do not guarantee a trial result or certify the model. Fictional simulated inventory model D637, version v3 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive, exact rational masses, not rounded observations: value 0 units with mass 1/5; value 4 units with mass 3/10; value 4 units with mass 3/10; value 8 units with mass 1/5. Add masses of paths with the same value. Mean is the probability-weighted arithmetic mean; most probable compares aggregated value masses and allows ties. Here x = 4 units. No claim that the model is correct or guarantees a trial is supplied. Statement: Under D637, 4 units has the highest outcome probability, ties allowed.",
    "ainglish": "Shared definition supplied once for this stateless question: x is mean-outcome(D) asserts that x equals the probability-weighted arithmetic mean under D. x is likeliest-outcome(D) asserts that x has the highest aggregated outcome mass under D, with ties allowed. These definitions also govern the corresponding English phrases. They do not guarantee a trial result or certify the model. Fictional simulated inventory model D637, version v3 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive, exact rational masses, not rounded observations: value 0 units with mass 1/5; value 4 units with mass 3/10; value 4 units with mass 3/10; value 8 units with mass 1/5. Add masses of paths with the same value. Mean is the probability-weighted arithmetic mean; most probable compares aggregated value masses and allows ties. Here x = 4 units. No claim that the model is correct or guarantees a trial is supplied. Statement: 4 units is likeliest-outcome(D637).",
    "question": "Evaluate the claim, whether x can actually occur, whether x alone is most probable, and whether the next result is guaranteed to equal x.",
    "options": [
      "Claim true: yes; x possible: yes; x unique most probable: yes; next result guaranteed x: yes.",
      "Claim true: yes; x possible: yes; x unique most probable: no; next result guaranteed x: yes.",
      "Claim true: yes; x possible: yes; x unique most probable: no; next result guaranteed x: no.",
      "Claim true: yes; x possible: no; x unique most probable: yes; next result guaranteed x: yes.",
      "Claim true: yes; x possible: no; x unique most probable: yes; next result guaranteed x: no.",
      "Claim true: yes; x possible: no; x unique most probable: no; next result guaranteed x: yes.",
      "Claim true: yes; x possible: no; x unique most probable: no; next result guaranteed x: no.",
      "Claim true: no; x possible: yes; x unique most probable: yes; next result guaranteed x: yes.",
      "Claim true: yes; x possible: yes; x unique most probable: yes; next result guaranteed x: no.",
      "Claim true: no; x possible: yes; x unique most probable: yes; next result guaranteed x: no.",
      "Claim true: no; x possible: yes; x unique most probable: no; next result guaranteed x: yes.",
      "Claim true: no; x possible: yes; x unique most probable: no; next result guaranteed x: no.",
      "Claim true: no; x possible: no; x unique most probable: yes; next result guaranteed x: yes.",
      "Claim true: no; x possible: no; x unique most probable: yes; next result guaranteed x: no.",
      "Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: yes.",
      "Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: no."
    ],
    "answer": "Claim true: yes; x possible: yes; x unique most probable: yes; next result guaranteed x: no.",
    "settlement_stratum": "likeliest-outcome",
    "domain": "simulated inventory",
    "boundary": "aggregate-paths",
    "variant": 0,
    "oracle": {
      "mean": "4",
      "modes": [
        "4"
      ],
      "value": "4",
      "flags": [
        true,
        true,
        true,
        false
      ],
      "masses": {
        "0": "1/5",
        "4": "3/5",
        "8": "1/5"
      }
    }
  },
  {
    "id": "outcome-careful-outcome-full-217",
    "english": "Shared definition supplied once for this stateless question: x is mean-outcome(D) asserts that x equals the probability-weighted arithmetic mean under D. x is likeliest-outcome(D) asserts that x has the highest aggregated outcome mass under D, with ties allowed. These definitions also govern the corresponding English phrases. They do not guarantee a trial result or certify the model. Fictional simulated inventory model D638, version v3 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive, exact rational masses, not rounded observations: value 1 units with mass 1/5; value 5 units with mass 3/10; value 5 units with mass 3/10; value 9 units with mass 1/5. Add masses of paths with the same value. Mean is the probability-weighted arithmetic mean; most probable compares aggregated value masses and allows ties. Here x = 6 units. No claim that the model is correct or guarantees a trial is supplied. Statement: Under D638, 6 units has the highest outcome probability, ties allowed.",
    "ainglish": "Shared definition supplied once for this stateless question: x is mean-outcome(D) asserts that x equals the probability-weighted arithmetic mean under D. x is likeliest-outcome(D) asserts that x has the highest aggregated outcome mass under D, with ties allowed. These definitions also govern the corresponding English phrases. They do not guarantee a trial result or certify the model. Fictional simulated inventory model D638, version v3 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive, exact rational masses, not rounded observations: value 1 units with mass 1/5; value 5 units with mass 3/10; value 5 units with mass 3/10; value 9 units with mass 1/5. Add masses of paths with the same value. Mean is the probability-weighted arithmetic mean; most probable compares aggregated value masses and allows ties. Here x = 6 units. No claim that the model is correct or guarantees a trial is supplied. Statement: 6 units is likeliest-outcome(D638).",
    "question": "Evaluate the claim, whether x can actually occur, whether x alone is most probable, and whether the next result is guaranteed to equal x.",
    "options": [
      "Claim true: yes; x possible: yes; x unique most probable: yes; next result guaranteed x: yes.",
      "Claim true: yes; x possible: yes; x unique most probable: yes; next result guaranteed x: no.",
      "Claim true: yes; x possible: yes; x unique most probable: no; next result guaranteed x: yes.",
      "Claim true: yes; x possible: yes; x unique most probable: no; next result guaranteed x: no.",
      "Claim true: yes; x possible: no; x unique most probable: yes; next result guaranteed x: yes.",
      "Claim true: yes; x possible: no; x unique most probable: yes; next result guaranteed x: no.",
      "Claim true: yes; x possible: no; x unique most probable: no; next result guaranteed x: yes.",
      "Claim true: yes; x possible: no; x unique most probable: no; next result guaranteed x: no.",
      "Claim true: no; x possible: yes; x unique most probable: yes; next result guaranteed x: yes.",
      "Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: no.",
      "Claim true: no; x possible: yes; x unique most probable: yes; next result guaranteed x: no.",
      "Claim true: no; x possible: yes; x unique most probable: no; next result guaranteed x: yes.",
      "Claim true: no; x possible: yes; x unique most probable: no; next result guaranteed x: no.",
      "Claim true: no; x possible: no; x unique most probable: yes; next result guaranteed x: yes.",
      "Claim true: no; x possible: no; x unique most probable: yes; next result guaranteed x: no.",
      "Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: yes."
    ],
    "answer": "Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: no.",
    "settlement_stratum": "likeliest-outcome",
    "domain": "simulated inventory",
    "boundary": "aggregate-paths",
    "variant": 1,
    "oracle": {
      "mean": "5",
      "modes": [
        "5"
      ],
      "value": "6",
      "flags": [
        false,
        false,
        false,
        false
      ],
      "masses": {
        "1": "1/5",
        "5": "3/5",
        "9": "1/5"
      }
    }
  },
  {
    "id": "outcome-careful-outcome-full-218",
    "english": "Shared definition supplied once for this stateless question: x is mean-outcome(D) asserts that x equals the probability-weighted arithmetic mean under D. x is likeliest-outcome(D) asserts that x has the highest aggregated outcome mass under D, with ties allowed. These definitions also govern the corresponding English phrases. They do not guarantee a trial result or certify the model. Fictional simulated inventory model D639, version v3 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive, exact rational masses, not rounded observations: value 2 units with mass 1/5; value 6 units with mass 3/10; value 6 units with mass 3/10; value 10 units with mass 1/5. Add masses of paths with the same value. Mean is the probability-weighted arithmetic mean; most probable compares aggregated value masses and allows ties. Here x = 6 units. No claim that the model is correct or guarantees a trial is supplied. Statement: Under D639, 6 units has the highest outcome probability, ties allowed.",
    "ainglish": "Shared definition supplied once for this stateless question: x is mean-outcome(D) asserts that x equals the probability-weighted arithmetic mean under D. x is likeliest-outcome(D) asserts that x has the highest aggregated outcome mass under D, with ties allowed. These definitions also govern the corresponding English phrases. They do not guarantee a trial result or certify the model. Fictional simulated inventory model D639, version v3 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive, exact rational masses, not rounded observations: value 2 units with mass 1/5; value 6 units with mass 3/10; value 6 units with mass 3/10; value 10 units with mass 1/5. Add masses of paths with the same value. Mean is the probability-weighted arithmetic mean; most probable compares aggregated value masses and allows ties. Here x = 6 units. No claim that the model is correct or guarantees a trial is supplied. Statement: 6 units is likeliest-outcome(D639).",
    "question": "Evaluate the claim, whether x can actually occur, whether x alone is most probable, and whether the next result is guaranteed to equal x.",
    "options": [
      "Claim true: yes; x possible: yes; x unique most probable: yes; next result guaranteed x: yes.",
      "Claim true: yes; x possible: yes; x unique most probable: no; next result guaranteed x: yes.",
      "Claim true: yes; x possible: yes; x unique most probable: no; next result guaranteed x: no.",
      "Claim true: yes; x possible: no; x unique most probable: yes; next result guaranteed x: yes.",
      "Claim true: yes; x possible: no; x unique most probable: yes; next result guaranteed x: no.",
      "Claim true: yes; x possible: no; x unique most probable: no; next result guaranteed x: yes.",
      "Claim true: yes; x possible: no; x unique most probable: no; next result guaranteed x: no.",
      "Claim true: no; x possible: yes; x unique most probable: yes; next result guaranteed x: yes.",
      "Claim true: no; x possible: yes; x unique most probable: yes; next result guaranteed x: no.",
      "Claim true: no; x possible: yes; x unique most probable: no; next result guaranteed x: yes.",
      "Claim true: yes; x possible: yes; x unique most probable: yes; next result guaranteed x: no.",
      "Claim true: no; x possible: yes; x unique most probable: no; next result guaranteed x: no.",
      "Claim true: no; x possible: no; x unique most probable: yes; next result guaranteed x: yes.",
      "Claim true: no; x possible: no; x unique most probable: yes; next result guaranteed x: no.",
      "Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: yes.",
      "Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: no."
    ],
    "answer": "Claim true: yes; x possible: yes; x unique most probable: yes; next result guaranteed x: no.",
    "settlement_stratum": "likeliest-outcome",
    "domain": "simulated inventory",
    "boundary": "aggregate-paths",
    "variant": 2,
    "oracle": {
      "mean": "6",
      "modes": [
        "6"
      ],
      "value": "6",
      "flags": [
        true,
        true,
        true,
        false
      ],
      "masses": {
        "2": "1/5",
        "6": "3/5",
        "10": "1/5"
      }
    }
  },
  {
    "id": "outcome-careful-outcome-full-219",
    "english": "Shared definition supplied once for this stateless question: x is mean-outcome(D) asserts that x equals the probability-weighted arithmetic mean under D. x is likeliest-outcome(D) asserts that x has the highest aggregated outcome mass under D, with ties allowed. These definitions also govern the corresponding English phrases. They do not guarantee a trial result or certify the model. Fictional simulated inventory model D640, version v3 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive, exact rational masses, not rounded observations: value 3 units with mass 1/5; value 7 units with mass 3/10; value 7 units with mass 3/10; value 11 units with mass 1/5. Add masses of paths with the same value. Mean is the probability-weighted arithmetic mean; most probable compares aggregated value masses and allows ties. Here x = 8 units. No claim that the model is correct or guarantees a trial is supplied. Statement: Under D640, 8 units has the highest outcome probability, ties allowed.",
    "ainglish": "Shared definition supplied once for this stateless question: x is mean-outcome(D) asserts that x equals the probability-weighted arithmetic mean under D. x is likeliest-outcome(D) asserts that x has the highest aggregated outcome mass under D, with ties allowed. These definitions also govern the corresponding English phrases. They do not guarantee a trial result or certify the model. Fictional simulated inventory model D640, version v3 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive, exact rational masses, not rounded observations: value 3 units with mass 1/5; value 7 units with mass 3/10; value 7 units with mass 3/10; value 11 units with mass 1/5. Add masses of paths with the same value. Mean is the probability-weighted arithmetic mean; most probable compares aggregated value masses and allows ties. Here x = 8 units. No claim that the model is correct or guarantees a trial is supplied. Statement: 8 units is likeliest-outcome(D640).",
    "question": "Evaluate the claim, whether x can actually occur, whether x alone is most probable, and whether the next result is guaranteed to equal x.",
    "options": [
      "Claim true: yes; x possible: yes; x unique most probable: yes; next result guaranteed x: yes.",
      "Claim true: yes; x possible: yes; x unique most probable: yes; next result guaranteed x: no.",
      "Claim true: yes; x possible: yes; x unique most probable: no; next result guaranteed x: yes.",
      "Claim true: yes; x possible: yes; x unique most probable: no; next result guaranteed x: no.",
      "Claim true: yes; x possible: no; x unique most probable: yes; next result guaranteed x: yes.",
      "Claim true: yes; x possible: no; x unique most probable: yes; next result guaranteed x: no.",
      "Claim true: yes; x possible: no; x unique most probable: no; next result guaranteed x: yes.",
      "Claim true: yes; x possible: no; x unique most probable: no; next result guaranteed x: no.",
      "Claim true: no; x possible: yes; x unique most probable: yes; next result guaranteed x: yes.",
      "Claim true: no; x possible: yes; x unique most probable: yes; next result guaranteed x: no.",
      "Claim true: no; x possible: yes; x unique most probable: no; next result guaranteed x: yes.",
      "Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: no.",
      "Claim true: no; x possible: yes; x unique most probable: no; next result guaranteed x: no.",
      "Claim true: no; x possible: no; x unique most probable: yes; next result guaranteed x: yes.",
      "Claim true: no; x possible: no; x unique most probable: yes; next result guaranteed x: no.",
      "Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: yes."
    ],
    "answer": "Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: no.",
    "settlement_stratum": "likeliest-outcome",
    "domain": "simulated inventory",
    "boundary": "aggregate-paths",
    "variant": 3,
    "oracle": {
      "mean": "7",
      "modes": [
        "7"
      ],
      "value": "8",
      "flags": [
        false,
        false,
        false,
        false
      ],
      "masses": {
        "3": "1/5",
        "7": "3/5",
        "11": "1/5"
      }
    }
  },
  {
    "id": "outcome-careful-outcome-full-220",
    "english": "Shared definition supplied once for this stateless question: x is mean-outcome(D) asserts that x equals the probability-weighted arithmetic mean under D. x is likeliest-outcome(D) asserts that x has the highest aggregated outcome mass under D, with ties allowed. These definitions also govern the corresponding English phrases. They do not guarantee a trial result or certify the model. Fictional generated batch size model D641, version v3 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive, exact rational masses, not rounded observations: value 0 units with mass 1/2; value 6 units with mass 1/2. Add masses of paths with the same value. Mean is the probability-weighted arithmetic mean; most probable compares aggregated value masses and allows ties. Here x = 0 units. No claim that the model is correct or guarantees a trial is supplied. Statement: Under D641, 0 units has the highest outcome probability, ties allowed.",
    "ainglish": "Shared definition supplied once for this stateless question: x is mean-outcome(D) asserts that x equals the probability-weighted arithmetic mean under D. x is likeliest-outcome(D) asserts that x has the highest aggregated outcome mass under D, with ties allowed. These definitions also govern the corresponding English phrases. They do not guarantee a trial result or certify the model. Fictional generated batch size model D641, version v3 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive, exact rational masses, not rounded observations: value 0 units with mass 1/2; value 6 units with mass 1/2. Add masses of paths with the same value. Mean is the probability-weighted arithmetic mean; most probable compares aggregated value masses and allows ties. Here x = 0 units. No claim that the model is correct or guarantees a trial is supplied. Statement: 0 units is likeliest-outcome(D641).",
    "question": "Evaluate the claim, whether x can actually occur, whether x alone is most probable, and whether the next result is guaranteed to equal x.",
    "options": [
      "Claim true: yes; x possible: yes; x unique most probable: yes; next result guaranteed x: yes.",
      "Claim true: yes; x possible: yes; x unique most probable: yes; next result guaranteed x: no.",
      "Claim true: yes; x possible: yes; x unique most probable: no; next result guaranteed x: yes.",
      "Claim true: yes; x possible: no; x unique most probable: yes; next result guaranteed x: yes.",
      "Claim true: yes; x possible: no; x unique most probable: yes; next result guaranteed x: no.",
      "Claim true: yes; x possible: no; x unique most probable: no; next result guaranteed x: yes.",
      "Claim true: yes; x possible: no; x unique most probable: no; next result guaranteed x: no.",
      "Claim true: no; x possible: yes; x unique most probable: yes; next result guaranteed x: yes.",
      "Claim true: no; x possible: yes; x unique most probable: yes; next result guaranteed x: no.",
      "Claim true: no; x possible: yes; x unique most probable: no; next result guaranteed x: yes.",
      "Claim true: no; x possible: yes; x unique most probable: no; next result guaranteed x: no.",
      "Claim true: no; x possible: no; x unique most probable: yes; next result guaranteed x: yes.",
      "Claim true: yes; x possible: yes; x unique most probable: no; next result guaranteed x: no.",
      "Claim true: no; x possible: no; x unique most probable: yes; next result guaranteed x: no.",
      "Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: yes.",
      "Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: no."
    ],
    "answer": "Claim true: yes; x possible: yes; x unique most probable: no; next result guaranteed x: no.",
    "settlement_stratum": "likeliest-outcome",
    "domain": "generated batch size",
    "boundary": "mean-outside",
    "variant": 0,
    "oracle": {
      "mean": "3",
      "modes": [
        "0",
        "6"
      ],
      "value": "0",
      "flags": [
        true,
        true,
        false,
        false
      ],
      "masses": {
        "0": "1/2",
        "6": "1/2"
      }
    }
  },
  {
    "id": "outcome-careful-outcome-full-221",
    "english": "Shared definition supplied once for this stateless question: x is mean-outcome(D) asserts that x equals the probability-weighted arithmetic mean under D. x is likeliest-outcome(D) asserts that x has the highest aggregated outcome mass under D, with ties allowed. These definitions also govern the corresponding English phrases. They do not guarantee a trial result or certify the model. Fictional generated batch size model D642, version v3 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive, exact rational masses, not rounded observations: value 1 units with mass 1/2; value 7 units with mass 1/2. Add masses of paths with the same value. Mean is the probability-weighted arithmetic mean; most probable compares aggregated value masses and allows ties. Here x = 2 units. No claim that the model is correct or guarantees a trial is supplied. Statement: Under D642, 2 units has the highest outcome probability, ties allowed.",
    "ainglish": "Shared definition supplied once for this stateless question: x is mean-outcome(D) asserts that x equals the probability-weighted arithmetic mean under D. x is likeliest-outcome(D) asserts that x has the highest aggregated outcome mass under D, with ties allowed. These definitions also govern the corresponding English phrases. They do not guarantee a trial result or certify the model. Fictional generated batch size model D642, version v3 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive, exact rational masses, not rounded observations: value 1 units with mass 1/2; value 7 units with mass 1/2. Add masses of paths with the same value. Mean is the probability-weighted arithmetic mean; most probable compares aggregated value masses and allows ties. Here x = 2 units. No claim that the model is correct or guarantees a trial is supplied. Statement: 2 units is likeliest-outcome(D642).",
    "question": "Evaluate the claim, whether x can actually occur, whether x alone is most probable, and whether the next result is guaranteed to equal x.",
    "options": [
      "Claim true: yes; x possible: yes; x unique most probable: yes; next result guaranteed x: yes.",
      "Claim true: yes; x possible: yes; x unique most probable: yes; next result guaranteed x: no.",
      "Claim true: yes; x possible: yes; x unique most probable: no; next result guaranteed x: yes.",
      "Claim true: yes; x possible: yes; x unique most probable: no; next result guaranteed x: no.",
      "Claim true: yes; x possible: no; x unique most probable: yes; next result guaranteed x: yes.",
      "Claim true: yes; x possible: no; x unique most probable: yes; next result guaranteed x: no.",
      "Claim true: yes; x possible: no; x unique most probable: no; next result guaranteed x: yes.",
      "Claim true: yes; x possible: no; x unique most probable: no; next result guaranteed x: no.",
      "Claim true: no; x possible: yes; x unique most probable: yes; next result guaranteed x: yes.",
      "Claim true: no; x possible: yes; x unique most probable: yes; next result guaranteed x: no.",
      "Claim true: no; x possible: yes; x unique most probable: no; next result guaranteed x: yes.",
      "Claim true: no; x possible: yes; x unique most probable: no; next result guaranteed x: no.",
      "Claim true: no; x possible: no; x unique most probable: yes; next result guaranteed x: yes.",
      "Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: no.",
      "Claim true: no; x possible: no; x unique most probable: yes; next result guaranteed x: no.",
      "Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: yes."
    ],
    "answer": "Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: no.",
    "settlement_stratum": "likeliest-outcome",
    "domain": "generated batch size",
    "boundary": "mean-outside",
    "variant": 1,
    "oracle": {
      "mean": "4",
      "modes": [
        "1",
        "7"
      ],
      "value": "2",
      "flags": [
        false,
        false,
        false,
        false
      ],
      "masses": {
        "1": "1/2",
        "7": "1/2"
      }
    }
  },
  {
    "id": "outcome-careful-outcome-full-222",
    "english": "Shared definition supplied once for this stateless question: x is mean-outcome(D) asserts that x equals the probability-weighted arithmetic mean under D. x is likeliest-outcome(D) asserts that x has the highest aggregated outcome mass under D, with ties allowed. These definitions also govern the corresponding English phrases. They do not guarantee a trial result or certify the model. Fictional generated batch size model D643, version v3 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive, exact rational masses, not rounded observations: value 2 units with mass 1/2; value 8 units with mass 1/2. Add masses of paths with the same value. Mean is the probability-weighted arithmetic mean; most probable compares aggregated value masses and allows ties. Here x = 2 units. No claim that the model is correct or guarantees a trial is supplied. Statement: Under D643, 2 units has the highest outcome probability, ties allowed.",
    "ainglish": "Shared definition supplied once for this stateless question: x is mean-outcome(D) asserts that x equals the probability-weighted arithmetic mean under D. x is likeliest-outcome(D) asserts that x has the highest aggregated outcome mass under D, with ties allowed. These definitions also govern the corresponding English phrases. They do not guarantee a trial result or certify the model. Fictional generated batch size model D643, version v3 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive, exact rational masses, not rounded observations: value 2 units with mass 1/2; value 8 units with mass 1/2. Add masses of paths with the same value. Mean is the probability-weighted arithmetic mean; most probable compares aggregated value masses and allows ties. Here x = 2 units. No claim that the model is correct or guarantees a trial is supplied. Statement: 2 units is likeliest-outcome(D643).",
    "question": "Evaluate the claim, whether x can actually occur, whether x alone is most probable, and whether the next result is guaranteed to equal x.",
    "options": [
      "Claim true: yes; x possible: yes; x unique most probable: yes; next result guaranteed x: yes.",
      "Claim true: yes; x possible: yes; x unique most probable: yes; next result guaranteed x: no.",
      "Claim true: yes; x possible: yes; x unique most probable: no; next result guaranteed x: yes.",
      "Claim true: yes; x possible: no; x unique most probable: yes; next result guaranteed x: yes.",
      "Claim true: yes; x possible: no; x unique most probable: yes; next result guaranteed x: no.",
      "Claim true: yes; x possible: no; x unique most probable: no; next result guaranteed x: yes.",
      "Claim true: yes; x possible: no; x unique most probable: no; next result guaranteed x: no.",
      "Claim true: no; x possible: yes; x unique most probable: yes; next result guaranteed x: yes.",
      "Claim true: no; x possible: yes; x unique most probable: yes; next result guaranteed x: no.",
      "Claim true: no; x possible: yes; x unique most probable: no; next result guaranteed x: yes.",
      "Claim true: no; x possible: yes; x unique most probable: no; next result guaranteed x: no.",
      "Claim true: no; x possible: no; x unique most probable: yes; next result guaranteed x: yes.",
      "Claim true: no; x possible: no; x unique most probable: yes; next result guaranteed x: no.",
      "Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: yes.",
      "Claim true: yes; x possible: yes; x unique most probable: no; next result guaranteed x: no.",
      "Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: no."
    ],
    "answer": "Claim true: yes; x possible: yes; x unique most probable: no; next result guaranteed x: no.",
    "settlement_stratum": "likeliest-outcome",
    "domain": "generated batch size",
    "boundary": "mean-outside",
    "variant": 2,
    "oracle": {
      "mean": "5",
      "modes": [
        "2",
        "8"
      ],
      "value": "2",
      "flags": [
        true,
        true,
        false,
        false
      ],
      "masses": {
        "2": "1/2",
        "8": "1/2"
      }
    }
  },
  {
    "id": "outcome-careful-outcome-full-223",
    "english": "Shared definition supplied once for this stateless question: x is mean-outcome(D) asserts that x equals the probability-weighted arithmetic mean under D. x is likeliest-outcome(D) asserts that x has the highest aggregated outcome mass under D, with ties allowed. These definitions also govern the corresponding English phrases. They do not guarantee a trial result or certify the model. Fictional generated batch size model D644, version v3 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive, exact rational masses, not rounded observations: value 3 units with mass 1/2; value 9 units with mass 1/2. Add masses of paths with the same value. Mean is the probability-weighted arithmetic mean; most probable compares aggregated value masses and allows ties. Here x = 4 units. No claim that the model is correct or guarantees a trial is supplied. Statement: Under D644, 4 units has the highest outcome probability, ties allowed.",
    "ainglish": "Shared definition supplied once for this stateless question: x is mean-outcome(D) asserts that x equals the probability-weighted arithmetic mean under D. x is likeliest-outcome(D) asserts that x has the highest aggregated outcome mass under D, with ties allowed. These definitions also govern the corresponding English phrases. They do not guarantee a trial result or certify the model. Fictional generated batch size model D644, version v3 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive, exact rational masses, not rounded observations: value 3 units with mass 1/2; value 9 units with mass 1/2. Add masses of paths with the same value. Mean is the probability-weighted arithmetic mean; most probable compares aggregated value masses and allows ties. Here x = 4 units. No claim that the model is correct or guarantees a trial is supplied. Statement: 4 units is likeliest-outcome(D644).",
    "question": "Evaluate the claim, whether x can actually occur, whether x alone is most probable, and whether the next result is guaranteed to equal x.",
    "options": [
      "Claim true: yes; x possible: yes; x unique most probable: yes; next result guaranteed x: yes.",
      "Claim true: yes; x possible: yes; x unique most probable: yes; next result guaranteed x: no.",
      "Claim true: yes; x possible: yes; x unique most probable: no; next result guaranteed x: yes.",
      "Claim true: yes; x possible: yes; x unique most probable: no; next result guaranteed x: no.",
      "Claim true: yes; x possible: no; x unique most probable: yes; next result guaranteed x: yes.",
      "Claim true: yes; x possible: no; x unique most probable: yes; next result guaranteed x: no.",
      "Claim true: yes; x possible: no; x unique most probable: no; next result guaranteed x: yes.",
      "Claim true: yes; x possible: no; x unique most probable: no; next result guaranteed x: no.",
      "Claim true: no; x possible: yes; x unique most probable: yes; next result guaranteed x: yes.",
      "Claim true: no; x possible: yes; x unique most probable: yes; next result guaranteed x: no.",
      "Claim true: no; x possible: yes; x unique most probable: no; next result guaranteed x: yes.",
      "Claim true: no; x possible: yes; x unique most probable: no; next result guaranteed x: no.",
      "Claim true: no; x possible: no; x unique most probable: yes; next result guaranteed x: yes.",
      "Claim true: no; x possible: no; x unique most probable: yes; next result guaranteed x: no.",
      "Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: yes.",
      "Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: no."
    ],
    "answer": "Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: no.",
    "settlement_stratum": "likeliest-outcome",
    "domain": "generated batch size",
    "boundary": "mean-outside",
    "variant": 3,
    "oracle": {
      "mean": "6",
      "modes": [
        "3",
        "9"
      ],
      "value": "4",
      "flags": [
        false,
        false,
        false,
        false
      ],
      "masses": {
        "3": "1/2",
        "9": "1/2"
      }
    }
  },
  {
    "id": "outcome-careful-outcome-full-224",
    "english": "Shared definition supplied once for this stateless question: x is mean-outcome(D) asserts that x equals the probability-weighted arithmetic mean under D. x is likeliest-outcome(D) asserts that x has the highest aggregated outcome mass under D, with ties allowed. These definitions also govern the corresponding English phrases. They do not guarantee a trial result or certify the model. Fictional generated batch size model D645, version v3 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive, exact rational masses, not rounded observations: value 0 units with mass 2/5; value 2 units with mass 3/10; value 5 units with mass 3/10. Add masses of paths with the same value. Mean is the probability-weighted arithmetic mean; most probable compares aggregated value masses and allows ties. Here x = 0 units. No claim that the model is correct or guarantees a trial is supplied. Statement: Under D645, 0 units has the highest outcome probability, ties allowed.",
    "ainglish": "Shared definition supplied once for this stateless question: x is mean-outcome(D) asserts that x equals the probability-weighted arithmetic mean under D. x is likeliest-outcome(D) asserts that x has the highest aggregated outcome mass under D, with ties allowed. These definitions also govern the corresponding English phrases. They do not guarantee a trial result or certify the model. Fictional generated batch size model D645, version v3 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive, exact rational masses, not rounded observations: value 0 units with mass 2/5; value 2 units with mass 3/10; value 5 units with mass 3/10. Add masses of paths with the same value. Mean is the probability-weighted arithmetic mean; most probable compares aggregated value masses and allows ties. Here x = 0 units. No claim that the model is correct or guarantees a trial is supplied. Statement: 0 units is likeliest-outcome(D645).",
    "question": "Evaluate the claim, whether x can actually occur, whether x alone is most probable, and whether the next result is guaranteed to equal x.",
    "options": [
      "Claim true: yes; x possible: yes; x unique most probable: yes; next result guaranteed x: no.",
      "Claim true: yes; x possible: yes; x unique most probable: yes; next result guaranteed x: yes.",
      "Claim true: yes; x possible: yes; x unique most probable: no; next result guaranteed x: yes.",
      "Claim true: yes; x possible: yes; x unique most probable: no; next result guaranteed x: no.",
      "Claim true: yes; x possible: no; x unique most probable: yes; next result guaranteed x: yes.",
      "Claim true: yes; x possible: no; x unique most probable: yes; next result guaranteed x: no.",
      "Claim true: yes; x possible: no; x unique most probable: no; next result guaranteed x: yes.",
      "Claim true: yes; x possible: no; x unique most probable: no; next result guaranteed x: no.",
      "Claim true: no; x possible: yes; x unique most probable: yes; next result guaranteed x: yes.",
      "Claim true: no; x possible: yes; x unique most probable: yes; next result guaranteed x: no.",
      "Claim true: no; x possible: yes; x unique most probable: no; next result guaranteed x: yes.",
      "Claim true: no; x possible: yes; x unique most probable: no; next result guaranteed x: no.",
      "Claim true: no; x possible: no; x unique most probable: yes; next result guaranteed x: yes.",
      "Claim true: no; x possible: no; x unique most probable: yes; next result guaranteed x: no.",
      "Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: yes.",
      "Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: no."
    ],
    "answer": "Claim true: yes; x possible: yes; x unique most probable: yes; next result guaranteed x: no.",
    "settlement_stratum": "likeliest-outcome",
    "domain": "generated batch size",
    "boundary": "mode-below-half",
    "variant": 0,
    "oracle": {
      "mean": "21/10",
      "modes": [
        "0"
      ],
      "value": "0",
      "flags": [
        true,
        true,
        true,
        false
      ],
      "masses": {
        "0": "2/5",
        "2": "3/10",
        "5": "3/10"
      }
    }
  },
  {
    "id": "outcome-careful-outcome-full-225",
    "english": "Shared definition supplied once for this stateless question: x is mean-outcome(D) asserts that x equals the probability-weighted arithmetic mean under D. x is likeliest-outcome(D) asserts that x has the highest aggregated outcome mass under D, with ties allowed. These definitions also govern the corresponding English phrases. They do not guarantee a trial result or certify the model. Fictional generated batch size model D646, version v3 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive, exact rational masses, not rounded observations: value 1 units with mass 2/5; value 3 units with mass 3/10; value 6 units with mass 3/10. Add masses of paths with the same value. Mean is the probability-weighted arithmetic mean; most probable compares aggregated value masses and allows ties. Here x = 2 units. No claim that the model is correct or guarantees a trial is supplied. Statement: Under D646, 2 units has the highest outcome probability, ties allowed.",
    "ainglish": "Shared definition supplied once for this stateless question: x is mean-outcome(D) asserts that x equals the probability-weighted arithmetic mean under D. x is likeliest-outcome(D) asserts that x has the highest aggregated outcome mass under D, with ties allowed. These definitions also govern the corresponding English phrases. They do not guarantee a trial result or certify the model. Fictional generated batch size model D646, version v3 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive, exact rational masses, not rounded observations: value 1 units with mass 2/5; value 3 units with mass 3/10; value 6 units with mass 3/10. Add masses of paths with the same value. Mean is the probability-weighted arithmetic mean; most probable compares aggregated value masses and allows ties. Here x = 2 units. No claim that the model is correct or guarantees a trial is supplied. Statement: 2 units is likeliest-outcome(D646).",
    "question": "Evaluate the claim, whether x can actually occur, whether x alone is most probable, and whether the next result is guaranteed to equal x.",
    "options": [
      "Claim true: yes; x possible: yes; x unique most probable: yes; next result guaranteed x: yes.",
      "Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: no.",
      "Claim true: yes; x possible: yes; x unique most probable: yes; next result guaranteed x: no.",
      "Claim true: yes; x possible: yes; x unique most probable: no; next result guaranteed x: yes.",
      "Claim true: yes; x possible: yes; x unique most probable: no; next result guaranteed x: no.",
      "Claim true: yes; x possible: no; x unique most probable: yes; next result guaranteed x: yes.",
      "Claim true: yes; x possible: no; x unique most probable: yes; next result guaranteed x: no.",
      "Claim true: yes; x possible: no; x unique most probable: no; next result guaranteed x: yes.",
      "Claim true: yes; x possible: no; x unique most probable: no; next result guaranteed x: no.",
      "Claim true: no; x possible: yes; x unique most probable: yes; next result guaranteed x: yes.",
      "Claim true: no; x possible: yes; x unique most probable: yes; next result guaranteed x: no.",
      "Claim true: no; x possible: yes; x unique most probable: no; next result guaranteed x: yes.",
      "Claim true: no; x possible: yes; x unique most probable: no; next result guaranteed x: no.",
      "Claim true: no; x possible: no; x unique most probable: yes; next result guaranteed x: yes.",
      "Claim true: no; x possible: no; x unique most probable: yes; next result guaranteed x: no.",
      "Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: yes."
    ],
    "answer": "Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: no.",
    "settlement_stratum": "likeliest-outcome",
    "domain": "generated batch size",
    "boundary": "mode-below-half",
    "variant": 1,
    "oracle": {
      "mean": "31/10",
      "modes": [
        "1"
      ],
      "value": "2",
      "flags": [
        false,
        false,
        false,
        false
      ],
      "masses": {
        "1": "2/5",
        "3": "3/10",
        "6": "3/10"
      }
    }
  },
  {
    "id": "outcome-careful-outcome-full-226",
    "english": "Shared definition supplied once for this stateless question: x is mean-outcome(D) asserts that x equals the probability-weighted arithmetic mean under D. x is likeliest-outcome(D) asserts that x has the highest aggregated outcome mass under D, with ties allowed. These definitions also govern the corresponding English phrases. They do not guarantee a trial result or certify the model. Fictional generated batch size model D647, version v3 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive, exact rational masses, not rounded observations: value 2 units with mass 2/5; value 4 units with mass 3/10; value 7 units with mass 3/10. Add masses of paths with the same value. Mean is the probability-weighted arithmetic mean; most probable compares aggregated value masses and allows ties. Here x = 2 units. No claim that the model is correct or guarantees a trial is supplied. Statement: Under D647, 2 units has the highest outcome probability, ties allowed.",
    "ainglish": "Shared definition supplied once for this stateless question: x is mean-outcome(D) asserts that x equals the probability-weighted arithmetic mean under D. x is likeliest-outcome(D) asserts that x has the highest aggregated outcome mass under D, with ties allowed. These definitions also govern the corresponding English phrases. They do not guarantee a trial result or certify the model. Fictional generated batch size model D647, version v3 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive, exact rational masses, not rounded observations: value 2 units with mass 2/5; value 4 units with mass 3/10; value 7 units with mass 3/10. Add masses of paths with the same value. Mean is the probability-weighted arithmetic mean; most probable compares aggregated value masses and allows ties. Here x = 2 units. No claim that the model is correct or guarantees a trial is supplied. Statement: 2 units is likeliest-outcome(D647).",
    "question": "Evaluate the claim, whether x can actually occur, whether x alone is most probable, and whether the next result is guaranteed to equal x.",
    "options": [
      "Claim true: yes; x possible: yes; x unique most probable: yes; next result guaranteed x: yes.",
      "Claim true: yes; x possible: yes; x unique most probable: no; next result guaranteed x: yes.",
      "Claim true: yes; x possible: yes; x unique most probable: yes; next result guaranteed x: no.",
      "Claim true: yes; x possible: yes; x unique most probable: no; next result guaranteed x: no.",
      "Claim true: yes; x possible: no; x unique most probable: yes; next result guaranteed x: yes.",
      "Claim true: yes; x possible: no; x unique most probable: yes; next result guaranteed x: no.",
      "Claim true: yes; x possible: no; x unique most probable: no; next result guaranteed x: yes.",
      "Claim true: yes; x possible: no; x unique most probable: no; next result guaranteed x: no.",
      "Claim true: no; x possible: yes; x unique most probable: yes; next result guaranteed x: yes.",
      "Claim true: no; x possible: yes; x unique most probable: yes; next result guaranteed x: no.",
      "Claim true: no; x possible: yes; x unique most probable: no; next result guaranteed x: yes.",
      "Claim true: no; x possible: yes; x unique most probable: no; next result guaranteed x: no.",
      "Claim true: no; x possible: no; x unique most probable: yes; next result guaranteed x: yes.",
      "Claim true: no; x possible: no; x unique most probable: yes; next result guaranteed x: no.",
      "Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: yes.",
      "Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: no."
    ],
    "answer": "Claim true: yes; x possible: yes; x unique most probable: yes; next result guaranteed x: no.",
    "settlement_stratum": "likeliest-outcome",
    "domain": "generated batch size",
    "boundary": "mode-below-half",
    "variant": 2,
    "oracle": {
      "mean": "41/10",
      "modes": [
        "2"
      ],
      "value": "2",
      "flags": [
        true,
        true,
        true,
        false
      ],
      "masses": {
        "2": "2/5",
        "4": "3/10",
        "7": "3/10"
      }
    }
  },
  {
    "id": "outcome-careful-outcome-full-227",
    "english": "Shared definition supplied once for this stateless question: x is mean-outcome(D) asserts that x equals the probability-weighted arithmetic mean under D. x is likeliest-outcome(D) asserts that x has the highest aggregated outcome mass under D, with ties allowed. These definitions also govern the corresponding English phrases. They do not guarantee a trial result or certify the model. Fictional generated batch size model D648, version v3 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive, exact rational masses, not rounded observations: value 3 units with mass 2/5; value 5 units with mass 3/10; value 8 units with mass 3/10. Add masses of paths with the same value. Mean is the probability-weighted arithmetic mean; most probable compares aggregated value masses and allows ties. Here x = 4 units. No claim that the model is correct or guarantees a trial is supplied. Statement: Under D648, 4 units has the highest outcome probability, ties allowed.",
    "ainglish": "Shared definition supplied once for this stateless question: x is mean-outcome(D) asserts that x equals the probability-weighted arithmetic mean under D. x is likeliest-outcome(D) asserts that x has the highest aggregated outcome mass under D, with ties allowed. These definitions also govern the corresponding English phrases. They do not guarantee a trial result or certify the model. Fictional generated batch size model D648, version v3 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive, exact rational masses, not rounded observations: value 3 units with mass 2/5; value 5 units with mass 3/10; value 8 units with mass 3/10. Add masses of paths with the same value. Mean is the probability-weighted arithmetic mean; most probable compares aggregated value masses and allows ties. Here x = 4 units. No claim that the model is correct or guarantees a trial is supplied. Statement: 4 units is likeliest-outcome(D648).",
    "question": "Evaluate the claim, whether x can actually occur, whether x alone is most probable, and whether the next result is guaranteed to equal x.",
    "options": [
      "Claim true: yes; x possible: yes; x unique most probable: yes; next result guaranteed x: yes.",
      "Claim true: yes; x possible: yes; x unique most probable: yes; next result guaranteed x: no.",
      "Claim true: yes; x possible: yes; x unique most probable: no; next result guaranteed x: yes.",
      "Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: no.",
      "Claim true: yes; x possible: yes; x unique most probable: no; next result guaranteed x: no.",
      "Claim true: yes; x possible: no; x unique most probable: yes; next result guaranteed x: yes.",
      "Claim true: yes; x possible: no; x unique most probable: yes; next result guaranteed x: no.",
      "Claim true: yes; x possible: no; x unique most probable: no; next result guaranteed x: yes.",
      "Claim true: yes; x possible: no; x unique most probable: no; next result guaranteed x: no.",
      "Claim true: no; x possible: yes; x unique most probable: yes; next result guaranteed x: yes.",
      "Claim true: no; x possible: yes; x unique most probable: yes; next result guaranteed x: no.",
      "Claim true: no; x possible: yes; x unique most probable: no; next result guaranteed x: yes.",
      "Claim true: no; x possible: yes; x unique most probable: no; next result guaranteed x: no.",
      "Claim true: no; x possible: no; x unique most probable: yes; next result guaranteed x: yes.",
      "Claim true: no; x possible: no; x unique most probable: yes; next result guaranteed x: no.",
      "Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: yes."
    ],
    "answer": "Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: no.",
    "settlement_stratum": "likeliest-outcome",
    "domain": "generated batch size",
    "boundary": "mode-below-half",
    "variant": 3,
    "oracle": {
      "mean": "51/10",
      "modes": [
        "3"
      ],
      "value": "4",
      "flags": [
        false,
        false,
        false,
        false
      ],
      "masses": {
        "3": "2/5",
        "5": "3/10",
        "8": "3/10"
      }
    }
  },
  {
    "id": "outcome-careful-outcome-full-228",
    "english": "Shared definition supplied once for this stateless question: x is mean-outcome(D) asserts that x equals the probability-weighted arithmetic mean under D. x is likeliest-outcome(D) asserts that x has the highest aggregated outcome mass under D, with ties allowed. These definitions also govern the corresponding English phrases. They do not guarantee a trial result or certify the model. Fictional generated batch size model D649, version v3 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive, exact rational masses, not rounded observations: value 1 units with mass 2/5; value 3 units with mass 2/5; value 7 units with mass 1/5. Add masses of paths with the same value. Mean is the probability-weighted arithmetic mean; most probable compares aggregated value masses and allows ties. Here x = 1 units. No claim that the model is correct or guarantees a trial is supplied. Statement: Under D649, 1 units has the highest outcome probability, ties allowed.",
    "ainglish": "Shared definition supplied once for this stateless question: x is mean-outcome(D) asserts that x equals the probability-weighted arithmetic mean under D. x is likeliest-outcome(D) asserts that x has the highest aggregated outcome mass under D, with ties allowed. These definitions also govern the corresponding English phrases. They do not guarantee a trial result or certify the model. Fictional generated batch size model D649, version v3 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive, exact rational masses, not rounded observations: value 1 units with mass 2/5; value 3 units with mass 2/5; value 7 units with mass 1/5. Add masses of paths with the same value. Mean is the probability-weighted arithmetic mean; most probable compares aggregated value masses and allows ties. Here x = 1 units. No claim that the model is correct or guarantees a trial is supplied. Statement: 1 units is likeliest-outcome(D649).",
    "question": "Evaluate the claim, whether x can actually occur, whether x alone is most probable, and whether the next result is guaranteed to equal x.",
    "options": [
      "Claim true: yes; x possible: yes; x unique most probable: yes; next result guaranteed x: yes.",
      "Claim true: yes; x possible: yes; x unique most probable: yes; next result guaranteed x: no.",
      "Claim true: yes; x possible: yes; x unique most probable: no; next result guaranteed x: yes.",
      "Claim true: yes; x possible: no; x unique most probable: yes; next result guaranteed x: yes.",
      "Claim true: yes; x possible: yes; x unique most probable: no; next result guaranteed x: no.",
      "Claim true: yes; x possible: no; x unique most probable: yes; next result guaranteed x: no.",
      "Claim true: yes; x possible: no; x unique most probable: no; next result guaranteed x: yes.",
      "Claim true: yes; x possible: no; x unique most probable: no; next result guaranteed x: no.",
      "Claim true: no; x possible: yes; x unique most probable: yes; next result guaranteed x: yes.",
      "Claim true: no; x possible: yes; x unique most probable: yes; next result guaranteed x: no.",
      "Claim true: no; x possible: yes; x unique most probable: no; next result guaranteed x: yes.",
      "Claim true: no; x possible: yes; x unique most probable: no; next result guaranteed x: no.",
      "Claim true: no; x possible: no; x unique most probable: yes; next result guaranteed x: yes.",
      "Claim true: no; x possible: no; x unique most probable: yes; next result guaranteed x: no.",
      "Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: yes.",
      "Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: no."
    ],
    "answer": "Claim true: yes; x possible: yes; x unique most probable: no; next result guaranteed x: no.",
    "settlement_stratum": "likeliest-outcome",
    "domain": "generated batch size",
    "boundary": "tied-modes",
    "variant": 0,
    "oracle": {
      "mean": "3",
      "modes": [
        "1",
        "3"
      ],
      "value": "1",
      "flags": [
        true,
        true,
        false,
        false
      ],
      "masses": {
        "1": "2/5",
        "3": "2/5",
        "7": "1/5"
      }
    }
  },
  {
    "id": "outcome-careful-outcome-full-229",
    "english": "Shared definition supplied once for this stateless question: x is mean-outcome(D) asserts that x equals the probability-weighted arithmetic mean under D. x is likeliest-outcome(D) asserts that x has the highest aggregated outcome mass under D, with ties allowed. These definitions also govern the corresponding English phrases. They do not guarantee a trial result or certify the model. Fictional generated batch size model D650, version v3 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive, exact rational masses, not rounded observations: value 2 units with mass 2/5; value 4 units with mass 2/5; value 8 units with mass 1/5. Add masses of paths with the same value. Mean is the probability-weighted arithmetic mean; most probable compares aggregated value masses and allows ties. Here x = 3 units. No claim that the model is correct or guarantees a trial is supplied. Statement: Under D650, 3 units has the highest outcome probability, ties allowed.",
    "ainglish": "Shared definition supplied once for this stateless question: x is mean-outcome(D) asserts that x equals the probability-weighted arithmetic mean under D. x is likeliest-outcome(D) asserts that x has the highest aggregated outcome mass under D, with ties allowed. These definitions also govern the corresponding English phrases. They do not guarantee a trial result or certify the model. Fictional generated batch size model D650, version v3 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive, exact rational masses, not rounded observations: value 2 units with mass 2/5; value 4 units with mass 2/5; value 8 units with mass 1/5. Add masses of paths with the same value. Mean is the probability-weighted arithmetic mean; most probable compares aggregated value masses and allows ties. Here x = 3 units. No claim that the model is correct or guarantees a trial is supplied. Statement: 3 units is likeliest-outcome(D650).",
    "question": "Evaluate the claim, whether x can actually occur, whether x alone is most probable, and whether the next result is guaranteed to equal x.",
    "options": [
      "Claim true: yes; x possible: yes; x unique most probable: yes; next result guaranteed x: yes.",
      "Claim true: yes; x possible: yes; x unique most probable: yes; next result guaranteed x: no.",
      "Claim true: yes; x possible: yes; x unique most probable: no; next result guaranteed x: yes.",
      "Claim true: yes; x possible: yes; x unique most probable: no; next result guaranteed x: no.",
      "Claim true: yes; x possible: no; x unique most probable: yes; next result guaranteed x: yes.",
      "Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: no.",
      "Claim true: yes; x possible: no; x unique most probable: yes; next result guaranteed x: no.",
      "Claim true: yes; x possible: no; x unique most probable: no; next result guaranteed x: yes.",
      "Claim true: yes; x possible: no; x unique most probable: no; next result guaranteed x: no.",
      "Claim true: no; x possible: yes; x unique most probable: yes; next result guaranteed x: yes.",
      "Claim true: no; x possible: yes; x unique most probable: yes; next result guaranteed x: no.",
      "Claim true: no; x possible: yes; x unique most probable: no; next result guaranteed x: yes.",
      "Claim true: no; x possible: yes; x unique most probable: no; next result guaranteed x: no.",
      "Claim true: no; x possible: no; x unique most probable: yes; next result guaranteed x: yes.",
      "Claim true: no; x possible: no; x unique most probable: yes; next result guaranteed x: no.",
      "Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: yes."
    ],
    "answer": "Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: no.",
    "settlement_stratum": "likeliest-outcome",
    "domain": "generated batch size",
    "boundary": "tied-modes",
    "variant": 1,
    "oracle": {
      "mean": "4",
      "modes": [
        "2",
        "4"
      ],
      "value": "3",
      "flags": [
        false,
        false,
        false,
        false
      ],
      "masses": {
        "2": "2/5",
        "4": "2/5",
        "8": "1/5"
      }
    }
  },
  {
    "id": "outcome-careful-outcome-full-230",
    "english": "Shared definition supplied once for this stateless question: x is mean-outcome(D) asserts that x equals the probability-weighted arithmetic mean under D. x is likeliest-outcome(D) asserts that x has the highest aggregated outcome mass under D, with ties allowed. These definitions also govern the corresponding English phrases. They do not guarantee a trial result or certify the model. Fictional generated batch size model D651, version v3 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive, exact rational masses, not rounded observations: value 3 units with mass 2/5; value 5 units with mass 2/5; value 9 units with mass 1/5. Add masses of paths with the same value. Mean is the probability-weighted arithmetic mean; most probable compares aggregated value masses and allows ties. Here x = 3 units. No claim that the model is correct or guarantees a trial is supplied. Statement: Under D651, 3 units has the highest outcome probability, ties allowed.",
    "ainglish": "Shared definition supplied once for this stateless question: x is mean-outcome(D) asserts that x equals the probability-weighted arithmetic mean under D. x is likeliest-outcome(D) asserts that x has the highest aggregated outcome mass under D, with ties allowed. These definitions also govern the corresponding English phrases. They do not guarantee a trial result or certify the model. Fictional generated batch size model D651, version v3 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive, exact rational masses, not rounded observations: value 3 units with mass 2/5; value 5 units with mass 2/5; value 9 units with mass 1/5. Add masses of paths with the same value. Mean is the probability-weighted arithmetic mean; most probable compares aggregated value masses and allows ties. Here x = 3 units. No claim that the model is correct or guarantees a trial is supplied. Statement: 3 units is likeliest-outcome(D651).",
    "question": "Evaluate the claim, whether x can actually occur, whether x alone is most probable, and whether the next result is guaranteed to equal x.",
    "options": [
      "Claim true: yes; x possible: yes; x unique most probable: yes; next result guaranteed x: yes.",
      "Claim true: yes; x possible: yes; x unique most probable: yes; next result guaranteed x: no.",
      "Claim true: yes; x possible: yes; x unique most probable: no; next result guaranteed x: yes.",
      "Claim true: yes; x possible: no; x unique most probable: yes; next result guaranteed x: yes.",
      "Claim true: yes; x possible: no; x unique most probable: yes; next result guaranteed x: no.",
      "Claim true: yes; x possible: no; x unique most probable: no; next result guaranteed x: yes.",
      "Claim true: yes; x possible: yes; x unique most probable: no; next result guaranteed x: no.",
      "Claim true: yes; x possible: no; x unique most probable: no; next result guaranteed x: no.",
      "Claim true: no; x possible: yes; x unique most probable: yes; next result guaranteed x: yes.",
      "Claim true: no; x possible: yes; x unique most probable: yes; next result guaranteed x: no.",
      "Claim true: no; x possible: yes; x unique most probable: no; next result guaranteed x: yes.",
      "Claim true: no; x possible: yes; x unique most probable: no; next result guaranteed x: no.",
      "Claim true: no; x possible: no; x unique most probable: yes; next result guaranteed x: yes.",
      "Claim true: no; x possible: no; x unique most probable: yes; next result guaranteed x: no.",
      "Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: yes.",
      "Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: no."
    ],
    "answer": "Claim true: yes; x possible: yes; x unique most probable: no; next result guaranteed x: no.",
    "settlement_stratum": "likeliest-outcome",
    "domain": "generated batch size",
    "boundary": "tied-modes",
    "variant": 2,
    "oracle": {
      "mean": "5",
      "modes": [
        "3",
        "5"
      ],
      "value": "3",
      "flags": [
        true,
        true,
        false,
        false
      ],
      "masses": {
        "3": "2/5",
        "5": "2/5",
        "9": "1/5"
      }
    }
  },
  {
    "id": "outcome-careful-outcome-full-231",
    "english": "Shared definition supplied once for this stateless question: x is mean-outcome(D) asserts that x equals the probability-weighted arithmetic mean under D. x is likeliest-outcome(D) asserts that x has the highest aggregated outcome mass under D, with ties allowed. These definitions also govern the corresponding English phrases. They do not guarantee a trial result or certify the model. Fictional generated batch size model D652, version v3 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive, exact rational masses, not rounded observations: value 4 units with mass 2/5; value 6 units with mass 2/5; value 10 units with mass 1/5. Add masses of paths with the same value. Mean is the probability-weighted arithmetic mean; most probable compares aggregated value masses and allows ties. Here x = 5 units. No claim that the model is correct or guarantees a trial is supplied. Statement: Under D652, 5 units has the highest outcome probability, ties allowed.",
    "ainglish": "Shared definition supplied once for this stateless question: x is mean-outcome(D) asserts that x equals the probability-weighted arithmetic mean under D. x is likeliest-outcome(D) asserts that x has the highest aggregated outcome mass under D, with ties allowed. These definitions also govern the corresponding English phrases. They do not guarantee a trial result or certify the model. Fictional generated batch size model D652, version v3 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive, exact rational masses, not rounded observations: value 4 units with mass 2/5; value 6 units with mass 2/5; value 10 units with mass 1/5. Add masses of paths with the same value. Mean is the probability-weighted arithmetic mean; most probable compares aggregated value masses and allows ties. Here x = 5 units. No claim that the model is correct or guarantees a trial is supplied. Statement: 5 units is likeliest-outcome(D652).",
    "question": "Evaluate the claim, whether x can actually occur, whether x alone is most probable, and whether the next result is guaranteed to equal x.",
    "options": [
      "Claim true: yes; x possible: yes; x unique most probable: yes; next result guaranteed x: yes.",
      "Claim true: yes; x possible: yes; x unique most probable: yes; next result guaranteed x: no.",
      "Claim true: yes; x possible: yes; x unique most probable: no; next result guaranteed x: yes.",
      "Claim true: yes; x possible: yes; x unique most probable: no; next result guaranteed x: no.",
      "Claim true: yes; x possible: no; x unique most probable: yes; next result guaranteed x: yes.",
      "Claim true: yes; x possible: no; x unique most probable: yes; next result guaranteed x: no.",
      "Claim true: yes; x possible: no; x unique most probable: no; next result guaranteed x: yes.",
      "Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: no.",
      "Claim true: yes; x possible: no; x unique most probable: no; next result guaranteed x: no.",
      "Claim true: no; x possible: yes; x unique most probable: yes; next result guaranteed x: yes.",
      "Claim true: no; x possible: yes; x unique most probable: yes; next result guaranteed x: no.",
      "Claim true: no; x possible: yes; x unique most probable: no; next result guaranteed x: yes.",
      "Claim true: no; x possible: yes; x unique most probable: no; next result guaranteed x: no.",
      "Claim true: no; x possible: no; x unique most probable: yes; next result guaranteed x: yes.",
      "Claim true: no; x possible: no; x unique most probable: yes; next result guaranteed x: no.",
      "Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: yes."
    ],
    "answer": "Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: no.",
    "settlement_stratum": "likeliest-outcome",
    "domain": "generated batch size",
    "boundary": "tied-modes",
    "variant": 3,
    "oracle": {
      "mean": "6",
      "modes": [
        "4",
        "6"
      ],
      "value": "5",
      "flags": [
        false,
        false,
        false,
        false
      ],
      "masses": {
        "4": "2/5",
        "6": "2/5",
        "10": "1/5"
      }
    }
  },
  {
    "id": "outcome-careful-outcome-full-232",
    "english": "Shared definition supplied once for this stateless question: x is mean-outcome(D) asserts that x equals the probability-weighted arithmetic mean under D. x is likeliest-outcome(D) asserts that x has the highest aggregated outcome mass under D, with ties allowed. These definitions also govern the corresponding English phrases. They do not guarantee a trial result or certify the model. Fictional generated batch size model D653, version v3 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive, exact rational masses, not rounded observations: value 0 units with mass 1/4; value 2 units with mass 1/2; value 4 units with mass 1/4. Add masses of paths with the same value. Mean is the probability-weighted arithmetic mean; most probable compares aggregated value masses and allows ties. Here x = 2 units. No claim that the model is correct or guarantees a trial is supplied. Statement: Under D653, 2 units has the highest outcome probability, ties allowed.",
    "ainglish": "Shared definition supplied once for this stateless question: x is mean-outcome(D) asserts that x equals the probability-weighted arithmetic mean under D. x is likeliest-outcome(D) asserts that x has the highest aggregated outcome mass under D, with ties allowed. These definitions also govern the corresponding English phrases. They do not guarantee a trial result or certify the model. Fictional generated batch size model D653, version v3 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive, exact rational masses, not rounded observations: value 0 units with mass 1/4; value 2 units with mass 1/2; value 4 units with mass 1/4. Add masses of paths with the same value. Mean is the probability-weighted arithmetic mean; most probable compares aggregated value masses and allows ties. Here x = 2 units. No claim that the model is correct or guarantees a trial is supplied. Statement: 2 units is likeliest-outcome(D653).",
    "question": "Evaluate the claim, whether x can actually occur, whether x alone is most probable, and whether the next result is guaranteed to equal x.",
    "options": [
      "Claim true: yes; x possible: yes; x unique most probable: yes; next result guaranteed x: yes.",
      "Claim true: yes; x possible: yes; x unique most probable: no; next result guaranteed x: yes.",
      "Claim true: yes; x possible: yes; x unique most probable: no; next result guaranteed x: no.",
      "Claim true: yes; x possible: no; x unique most probable: yes; next result guaranteed x: yes.",
      "Claim true: yes; x possible: no; x unique most probable: yes; next result guaranteed x: no.",
      "Claim true: yes; x possible: no; x unique most probable: no; next result guaranteed x: yes.",
      "Claim true: yes; x possible: no; x unique most probable: no; next result guaranteed x: no.",
      "Claim true: no; x possible: yes; x unique most probable: yes; next result guaranteed x: yes.",
      "Claim true: yes; x possible: yes; x unique most probable: yes; next result guaranteed x: no.",
      "Claim true: no; x possible: yes; x unique most probable: yes; next result guaranteed x: no.",
      "Claim true: no; x possible: yes; x unique most probable: no; next result guaranteed x: yes.",
      "Claim true: no; x possible: yes; x unique most probable: no; next result guaranteed x: no.",
      "Claim true: no; x possible: no; x unique most probable: yes; next result guaranteed x: yes.",
      "Claim true: no; x possible: no; x unique most probable: yes; next result guaranteed x: no.",
      "Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: yes.",
      "Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: no."
    ],
    "answer": "Claim true: yes; x possible: yes; x unique most probable: yes; next result guaranteed x: no.",
    "settlement_stratum": "likeliest-outcome",
    "domain": "generated batch size",
    "boundary": "mean-is-mode",
    "variant": 0,
    "oracle": {
      "mean": "2",
      "modes": [
        "2"
      ],
      "value": "2",
      "flags": [
        true,
        true,
        true,
        false
      ],
      "masses": {
        "0": "1/4",
        "2": "1/2",
        "4": "1/4"
      }
    }
  },
  {
    "id": "outcome-careful-outcome-full-233",
    "english": "Shared definition supplied once for this stateless question: x is mean-outcome(D) asserts that x equals the probability-weighted arithmetic mean under D. x is likeliest-outcome(D) asserts that x has the highest aggregated outcome mass under D, with ties allowed. These definitions also govern the corresponding English phrases. They do not guarantee a trial result or certify the model. Fictional generated batch size model D654, version v3 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive, exact rational masses, not rounded observations: value 1 units with mass 1/4; value 3 units with mass 1/2; value 5 units with mass 1/4. Add masses of paths with the same value. Mean is the probability-weighted arithmetic mean; most probable compares aggregated value masses and allows ties. Here x = 4 units. No claim that the model is correct or guarantees a trial is supplied. Statement: Under D654, 4 units has the highest outcome probability, ties allowed.",
    "ainglish": "Shared definition supplied once for this stateless question: x is mean-outcome(D) asserts that x equals the probability-weighted arithmetic mean under D. x is likeliest-outcome(D) asserts that x has the highest aggregated outcome mass under D, with ties allowed. These definitions also govern the corresponding English phrases. They do not guarantee a trial result or certify the model. Fictional generated batch size model D654, version v3 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive, exact rational masses, not rounded observations: value 1 units with mass 1/4; value 3 units with mass 1/2; value 5 units with mass 1/4. Add masses of paths with the same value. Mean is the probability-weighted arithmetic mean; most probable compares aggregated value masses and allows ties. Here x = 4 units. No claim that the model is correct or guarantees a trial is supplied. Statement: 4 units is likeliest-outcome(D654).",
    "question": "Evaluate the claim, whether x can actually occur, whether x alone is most probable, and whether the next result is guaranteed to equal x.",
    "options": [
      "Claim true: yes; x possible: yes; x unique most probable: yes; next result guaranteed x: yes.",
      "Claim true: yes; x possible: yes; x unique most probable: yes; next result guaranteed x: no.",
      "Claim true: yes; x possible: yes; x unique most probable: no; next result guaranteed x: yes.",
      "Claim true: yes; x possible: yes; x unique most probable: no; next result guaranteed x: no.",
      "Claim true: yes; x possible: no; x unique most probable: yes; next result guaranteed x: yes.",
      "Claim true: yes; x possible: no; x unique most probable: yes; next result guaranteed x: no.",
      "Claim true: yes; x possible: no; x unique most probable: no; next result guaranteed x: yes.",
      "Claim true: yes; x possible: no; x unique most probable: no; next result guaranteed x: no.",
      "Claim true: no; x possible: yes; x unique most probable: yes; next result guaranteed x: yes.",
      "Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: no.",
      "Claim true: no; x possible: yes; x unique most probable: yes; next result guaranteed x: no.",
      "Claim true: no; x possible: yes; x unique most probable: no; next result guaranteed x: yes.",
      "Claim true: no; x possible: yes; x unique most probable: no; next result guaranteed x: no.",
      "Claim true: no; x possible: no; x unique most probable: yes; next result guaranteed x: yes.",
      "Claim true: no; x possible: no; x unique most probable: yes; next result guaranteed x: no.",
      "Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: yes."
    ],
    "answer": "Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: no.",
    "settlement_stratum": "likeliest-outcome",
    "domain": "generated batch size",
    "boundary": "mean-is-mode",
    "variant": 1,
    "oracle": {
      "mean": "3",
      "modes": [
        "3"
      ],
      "value": "4",
      "flags": [
        false,
        false,
        false,
        false
      ],
      "masses": {
        "1": "1/4",
        "3": "1/2",
        "5": "1/4"
      }
    }
  },
  {
    "id": "outcome-careful-outcome-full-234",
    "english": "Shared definition supplied once for this stateless question: x is mean-outcome(D) asserts that x equals the probability-weighted arithmetic mean under D. x is likeliest-outcome(D) asserts that x has the highest aggregated outcome mass under D, with ties allowed. These definitions also govern the corresponding English phrases. They do not guarantee a trial result or certify the model. Fictional generated batch size model D655, version v3 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive, exact rational masses, not rounded observations: value 2 units with mass 1/4; value 4 units with mass 1/2; value 6 units with mass 1/4. Add masses of paths with the same value. Mean is the probability-weighted arithmetic mean; most probable compares aggregated value masses and allows ties. Here x = 4 units. No claim that the model is correct or guarantees a trial is supplied. Statement: Under D655, 4 units has the highest outcome probability, ties allowed.",
    "ainglish": "Shared definition supplied once for this stateless question: x is mean-outcome(D) asserts that x equals the probability-weighted arithmetic mean under D. x is likeliest-outcome(D) asserts that x has the highest aggregated outcome mass under D, with ties allowed. These definitions also govern the corresponding English phrases. They do not guarantee a trial result or certify the model. Fictional generated batch size model D655, version v3 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive, exact rational masses, not rounded observations: value 2 units with mass 1/4; value 4 units with mass 1/2; value 6 units with mass 1/4. Add masses of paths with the same value. Mean is the probability-weighted arithmetic mean; most probable compares aggregated value masses and allows ties. Here x = 4 units. No claim that the model is correct or guarantees a trial is supplied. Statement: 4 units is likeliest-outcome(D655).",
    "question": "Evaluate the claim, whether x can actually occur, whether x alone is most probable, and whether the next result is guaranteed to equal x.",
    "options": [
      "Claim true: yes; x possible: yes; x unique most probable: yes; next result guaranteed x: yes.",
      "Claim true: yes; x possible: yes; x unique most probable: no; next result guaranteed x: yes.",
      "Claim true: yes; x possible: yes; x unique most probable: no; next result guaranteed x: no.",
      "Claim true: yes; x possible: no; x unique most probable: yes; next result guaranteed x: yes.",
      "Claim true: yes; x possible: no; x unique most probable: yes; next result guaranteed x: no.",
      "Claim true: yes; x possible: no; x unique most probable: no; next result guaranteed x: yes.",
      "Claim true: yes; x possible: no; x unique most probable: no; next result guaranteed x: no.",
      "Claim true: no; x possible: yes; x unique most probable: yes; next result guaranteed x: yes.",
      "Claim true: no; x possible: yes; x unique most probable: yes; next result guaranteed x: no.",
      "Claim true: no; x possible: yes; x unique most probable: no; next result guaranteed x: yes.",
      "Claim true: yes; x possible: yes; x unique most probable: yes; next result guaranteed x: no.",
      "Claim true: no; x possible: yes; x unique most probable: no; next result guaranteed x: no.",
      "Claim true: no; x possible: no; x unique most probable: yes; next result guaranteed x: yes.",
      "Claim true: no; x possible: no; x unique most probable: yes; next result guaranteed x: no.",
      "Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: yes.",
      "Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: no."
    ],
    "answer": "Claim true: yes; x possible: yes; x unique most probable: yes; next result guaranteed x: no.",
    "settlement_stratum": "likeliest-outcome",
    "domain": "generated batch size",
    "boundary": "mean-is-mode",
    "variant": 2,
    "oracle": {
      "mean": "4",
      "modes": [
        "4"
      ],
      "value": "4",
      "flags": [
        true,
        true,
        true,
        false
      ],
      "masses": {
        "2": "1/4",
        "4": "1/2",
        "6": "1/4"
      }
    }
  },
  {
    "id": "outcome-careful-outcome-full-235",
    "english": "Shared definition supplied once for this stateless question: x is mean-outcome(D) asserts that x equals the probability-weighted arithmetic mean under D. x is likeliest-outcome(D) asserts that x has the highest aggregated outcome mass under D, with ties allowed. These definitions also govern the corresponding English phrases. They do not guarantee a trial result or certify the model. Fictional generated batch size model D656, version v3 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive, exact rational masses, not rounded observations: value 3 units with mass 1/4; value 5 units with mass 1/2; value 7 units with mass 1/4. Add masses of paths with the same value. Mean is the probability-weighted arithmetic mean; most probable compares aggregated value masses and allows ties. Here x = 6 units. No claim that the model is correct or guarantees a trial is supplied. Statement: Under D656, 6 units has the highest outcome probability, ties allowed.",
    "ainglish": "Shared definition supplied once for this stateless question: x is mean-outcome(D) asserts that x equals the probability-weighted arithmetic mean under D. x is likeliest-outcome(D) asserts that x has the highest aggregated outcome mass under D, with ties allowed. These definitions also govern the corresponding English phrases. They do not guarantee a trial result or certify the model. Fictional generated batch size model D656, version v3 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive, exact rational masses, not rounded observations: value 3 units with mass 1/4; value 5 units with mass 1/2; value 7 units with mass 1/4. Add masses of paths with the same value. Mean is the probability-weighted arithmetic mean; most probable compares aggregated value masses and allows ties. Here x = 6 units. No claim that the model is correct or guarantees a trial is supplied. Statement: 6 units is likeliest-outcome(D656).",
    "question": "Evaluate the claim, whether x can actually occur, whether x alone is most probable, and whether the next result is guaranteed to equal x.",
    "options": [
      "Claim true: yes; x possible: yes; x unique most probable: yes; next result guaranteed x: yes.",
      "Claim true: yes; x possible: yes; x unique most probable: yes; next result guaranteed x: no.",
      "Claim true: yes; x possible: yes; x unique most probable: no; next result guaranteed x: yes.",
      "Claim true: yes; x possible: yes; x unique most probable: no; next result guaranteed x: no.",
      "Claim true: yes; x possible: no; x unique most probable: yes; next result guaranteed x: yes.",
      "Claim true: yes; x possible: no; x unique most probable: yes; next result guaranteed x: no.",
      "Claim true: yes; x possible: no; x unique most probable: no; next result guaranteed x: yes.",
      "Claim true: yes; x possible: no; x unique most probable: no; next result guaranteed x: no.",
      "Claim true: no; x possible: yes; x unique most probable: yes; next result guaranteed x: yes.",
      "Claim true: no; x possible: yes; x unique most probable: yes; next result guaranteed x: no.",
      "Claim true: no; x possible: yes; x unique most probable: no; next result guaranteed x: yes.",
      "Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: no.",
      "Claim true: no; x possible: yes; x unique most probable: no; next result guaranteed x: no.",
      "Claim true: no; x possible: no; x unique most probable: yes; next result guaranteed x: yes.",
      "Claim true: no; x possible: no; x unique most probable: yes; next result guaranteed x: no.",
      "Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: yes."
    ],
    "answer": "Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: no.",
    "settlement_stratum": "likeliest-outcome",
    "domain": "generated batch size",
    "boundary": "mean-is-mode",
    "variant": 3,
    "oracle": {
      "mean": "5",
      "modes": [
        "5"
      ],
      "value": "6",
      "flags": [
        false,
        false,
        false,
        false
      ],
      "masses": {
        "3": "1/4",
        "5": "1/2",
        "7": "1/4"
      }
    }
  },
  {
    "id": "outcome-careful-outcome-full-236",
    "english": "Shared definition supplied once for this stateless question: x is mean-outcome(D) asserts that x equals the probability-weighted arithmetic mean under D. x is likeliest-outcome(D) asserts that x has the highest aggregated outcome mass under D, with ties allowed. These definitions also govern the corresponding English phrases. They do not guarantee a trial result or certify the model. Fictional generated batch size model D657, version v3 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive, exact rational masses, not rounded observations: value 0 units with mass 1/5; value 4 units with mass 3/10; value 4 units with mass 3/10; value 8 units with mass 1/5. Add masses of paths with the same value. Mean is the probability-weighted arithmetic mean; most probable compares aggregated value masses and allows ties. Here x = 4 units. No claim that the model is correct or guarantees a trial is supplied. Statement: Under D657, 4 units has the highest outcome probability, ties allowed.",
    "ainglish": "Shared definition supplied once for this stateless question: x is mean-outcome(D) asserts that x equals the probability-weighted arithmetic mean under D. x is likeliest-outcome(D) asserts that x has the highest aggregated outcome mass under D, with ties allowed. These definitions also govern the corresponding English phrases. They do not guarantee a trial result or certify the model. Fictional generated batch size model D657, version v3 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive, exact rational masses, not rounded observations: value 0 units with mass 1/5; value 4 units with mass 3/10; value 4 units with mass 3/10; value 8 units with mass 1/5. Add masses of paths with the same value. Mean is the probability-weighted arithmetic mean; most probable compares aggregated value masses and allows ties. Here x = 4 units. No claim that the model is correct or guarantees a trial is supplied. Statement: 4 units is likeliest-outcome(D657).",
    "question": "Evaluate the claim, whether x can actually occur, whether x alone is most probable, and whether the next result is guaranteed to equal x.",
    "options": [
      "Claim true: yes; x possible: yes; x unique most probable: yes; next result guaranteed x: yes.",
      "Claim true: yes; x possible: yes; x unique most probable: no; next result guaranteed x: yes.",
      "Claim true: yes; x possible: yes; x unique most probable: no; next result guaranteed x: no.",
      "Claim true: yes; x possible: no; x unique most probable: yes; next result guaranteed x: yes.",
      "Claim true: yes; x possible: no; x unique most probable: yes; next result guaranteed x: no.",
      "Claim true: yes; x possible: no; x unique most probable: no; next result guaranteed x: yes.",
      "Claim true: yes; x possible: no; x unique most probable: no; next result guaranteed x: no.",
      "Claim true: no; x possible: yes; x unique most probable: yes; next result guaranteed x: yes.",
      "Claim true: no; x possible: yes; x unique most probable: yes; next result guaranteed x: no.",
      "Claim true: no; x possible: yes; x unique most probable: no; next result guaranteed x: yes.",
      "Claim true: no; x possible: yes; x unique most probable: no; next result guaranteed x: no.",
      "Claim true: no; x possible: no; x unique most probable: yes; next result guaranteed x: yes.",
      "Claim true: yes; x possible: yes; x unique most probable: yes; next result guaranteed x: no.",
      "Claim true: no; x possible: no; x unique most probable: yes; next result guaranteed x: no.",
      "Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: yes.",
      "Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: no."
    ],
    "answer": "Claim true: yes; x possible: yes; x unique most probable: yes; next result guaranteed x: no.",
    "settlement_stratum": "likeliest-outcome",
    "domain": "generated batch size",
    "boundary": "aggregate-paths",
    "variant": 0,
    "oracle": {
      "mean": "4",
      "modes": [
        "4"
      ],
      "value": "4",
      "flags": [
        true,
        true,
        true,
        false
      ],
      "masses": {
        "0": "1/5",
        "4": "3/5",
        "8": "1/5"
      }
    }
  },
  {
    "id": "outcome-careful-outcome-full-237",
    "english": "Shared definition supplied once for this stateless question: x is mean-outcome(D) asserts that x equals the probability-weighted arithmetic mean under D. x is likeliest-outcome(D) asserts that x has the highest aggregated outcome mass under D, with ties allowed. These definitions also govern the corresponding English phrases. They do not guarantee a trial result or certify the model. Fictional generated batch size model D658, version v3 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive, exact rational masses, not rounded observations: value 1 units with mass 1/5; value 5 units with mass 3/10; value 5 units with mass 3/10; value 9 units with mass 1/5. Add masses of paths with the same value. Mean is the probability-weighted arithmetic mean; most probable compares aggregated value masses and allows ties. Here x = 6 units. No claim that the model is correct or guarantees a trial is supplied. Statement: Under D658, 6 units has the highest outcome probability, ties allowed.",
    "ainglish": "Shared definition supplied once for this stateless question: x is mean-outcome(D) asserts that x equals the probability-weighted arithmetic mean under D. x is likeliest-outcome(D) asserts that x has the highest aggregated outcome mass under D, with ties allowed. These definitions also govern the corresponding English phrases. They do not guarantee a trial result or certify the model. Fictional generated batch size model D658, version v3 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive, exact rational masses, not rounded observations: value 1 units with mass 1/5; value 5 units with mass 3/10; value 5 units with mass 3/10; value 9 units with mass 1/5. Add masses of paths with the same value. Mean is the probability-weighted arithmetic mean; most probable compares aggregated value masses and allows ties. Here x = 6 units. No claim that the model is correct or guarantees a trial is supplied. Statement: 6 units is likeliest-outcome(D658).",
    "question": "Evaluate the claim, whether x can actually occur, whether x alone is most probable, and whether the next result is guaranteed to equal x.",
    "options": [
      "Claim true: yes; x possible: yes; x unique most probable: yes; next result guaranteed x: yes.",
      "Claim true: yes; x possible: yes; x unique most probable: yes; next result guaranteed x: no.",
      "Claim true: yes; x possible: yes; x unique most probable: no; next result guaranteed x: yes.",
      "Claim true: yes; x possible: yes; x unique most probable: no; next result guaranteed x: no.",
      "Claim true: yes; x possible: no; x unique most probable: yes; next result guaranteed x: yes.",
      "Claim true: yes; x possible: no; x unique most probable: yes; next result guaranteed x: no.",
      "Claim true: yes; x possible: no; x unique most probable: no; next result guaranteed x: yes.",
      "Claim true: yes; x possible: no; x unique most probable: no; next result guaranteed x: no.",
      "Claim true: no; x possible: yes; x unique most probable: yes; next result guaranteed x: yes.",
      "Claim true: no; x possible: yes; x unique most probable: yes; next result guaranteed x: no.",
      "Claim true: no; x possible: yes; x unique most probable: no; next result guaranteed x: yes.",
      "Claim true: no; x possible: yes; x unique most probable: no; next result guaranteed x: no.",
      "Claim true: no; x possible: no; x unique most probable: yes; next result guaranteed x: yes.",
      "Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: no.",
      "Claim true: no; x possible: no; x unique most probable: yes; next result guaranteed x: no.",
      "Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: yes."
    ],
    "answer": "Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: no.",
    "settlement_stratum": "likeliest-outcome",
    "domain": "generated batch size",
    "boundary": "aggregate-paths",
    "variant": 1,
    "oracle": {
      "mean": "5",
      "modes": [
        "5"
      ],
      "value": "6",
      "flags": [
        false,
        false,
        false,
        false
      ],
      "masses": {
        "1": "1/5",
        "5": "3/5",
        "9": "1/5"
      }
    }
  },
  {
    "id": "outcome-careful-outcome-full-238",
    "english": "Shared definition supplied once for this stateless question: x is mean-outcome(D) asserts that x equals the probability-weighted arithmetic mean under D. x is likeliest-outcome(D) asserts that x has the highest aggregated outcome mass under D, with ties allowed. These definitions also govern the corresponding English phrases. They do not guarantee a trial result or certify the model. Fictional generated batch size model D659, version v3 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive, exact rational masses, not rounded observations: value 2 units with mass 1/5; value 6 units with mass 3/10; value 6 units with mass 3/10; value 10 units with mass 1/5. Add masses of paths with the same value. Mean is the probability-weighted arithmetic mean; most probable compares aggregated value masses and allows ties. Here x = 6 units. No claim that the model is correct or guarantees a trial is supplied. Statement: Under D659, 6 units has the highest outcome probability, ties allowed.",
    "ainglish": "Shared definition supplied once for this stateless question: x is mean-outcome(D) asserts that x equals the probability-weighted arithmetic mean under D. x is likeliest-outcome(D) asserts that x has the highest aggregated outcome mass under D, with ties allowed. These definitions also govern the corresponding English phrases. They do not guarantee a trial result or certify the model. Fictional generated batch size model D659, version v3 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive, exact rational masses, not rounded observations: value 2 units with mass 1/5; value 6 units with mass 3/10; value 6 units with mass 3/10; value 10 units with mass 1/5. Add masses of paths with the same value. Mean is the probability-weighted arithmetic mean; most probable compares aggregated value masses and allows ties. Here x = 6 units. No claim that the model is correct or guarantees a trial is supplied. Statement: 6 units is likeliest-outcome(D659).",
    "question": "Evaluate the claim, whether x can actually occur, whether x alone is most probable, and whether the next result is guaranteed to equal x.",
    "options": [
      "Claim true: yes; x possible: yes; x unique most probable: yes; next result guaranteed x: yes.",
      "Claim true: yes; x possible: yes; x unique most probable: no; next result guaranteed x: yes.",
      "Claim true: yes; x possible: yes; x unique most probable: no; next result guaranteed x: no.",
      "Claim true: yes; x possible: no; x unique most probable: yes; next result guaranteed x: yes.",
      "Claim true: yes; x possible: no; x unique most probable: yes; next result guaranteed x: no.",
      "Claim true: yes; x possible: no; x unique most probable: no; next result guaranteed x: yes.",
      "Claim true: yes; x possible: no; x unique most probable: no; next result guaranteed x: no.",
      "Claim true: no; x possible: yes; x unique most probable: yes; next result guaranteed x: yes.",
      "Claim true: no; x possible: yes; x unique most probable: yes; next result guaranteed x: no.",
      "Claim true: no; x possible: yes; x unique most probable: no; next result guaranteed x: yes.",
      "Claim true: no; x possible: yes; x unique most probable: no; next result guaranteed x: no.",
      "Claim true: no; x possible: no; x unique most probable: yes; next result guaranteed x: yes.",
      "Claim true: no; x possible: no; x unique most probable: yes; next result guaranteed x: no.",
      "Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: yes.",
      "Claim true: yes; x possible: yes; x unique most probable: yes; next result guaranteed x: no.",
      "Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: no."
    ],
    "answer": "Claim true: yes; x possible: yes; x unique most probable: yes; next result guaranteed x: no.",
    "settlement_stratum": "likeliest-outcome",
    "domain": "generated batch size",
    "boundary": "aggregate-paths",
    "variant": 2,
    "oracle": {
      "mean": "6",
      "modes": [
        "6"
      ],
      "value": "6",
      "flags": [
        true,
        true,
        true,
        false
      ],
      "masses": {
        "2": "1/5",
        "6": "3/5",
        "10": "1/5"
      }
    }
  },
  {
    "id": "outcome-careful-outcome-full-239",
    "english": "Shared definition supplied once for this stateless question: x is mean-outcome(D) asserts that x equals the probability-weighted arithmetic mean under D. x is likeliest-outcome(D) asserts that x has the highest aggregated outcome mass under D, with ties allowed. These definitions also govern the corresponding English phrases. They do not guarantee a trial result or certify the model. Fictional generated batch size model D660, version v3 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive, exact rational masses, not rounded observations: value 3 units with mass 1/5; value 7 units with mass 3/10; value 7 units with mass 3/10; value 11 units with mass 1/5. Add masses of paths with the same value. Mean is the probability-weighted arithmetic mean; most probable compares aggregated value masses and allows ties. Here x = 8 units. No claim that the model is correct or guarantees a trial is supplied. Statement: Under D660, 8 units has the highest outcome probability, ties allowed.",
    "ainglish": "Shared definition supplied once for this stateless question: x is mean-outcome(D) asserts that x equals the probability-weighted arithmetic mean under D. x is likeliest-outcome(D) asserts that x has the highest aggregated outcome mass under D, with ties allowed. These definitions also govern the corresponding English phrases. They do not guarantee a trial result or certify the model. Fictional generated batch size model D660, version v3 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive, exact rational masses, not rounded observations: value 3 units with mass 1/5; value 7 units with mass 3/10; value 7 units with mass 3/10; value 11 units with mass 1/5. Add masses of paths with the same value. Mean is the probability-weighted arithmetic mean; most probable compares aggregated value masses and allows ties. Here x = 8 units. No claim that the model is correct or guarantees a trial is supplied. Statement: 8 units is likeliest-outcome(D660).",
    "question": "Evaluate the claim, whether x can actually occur, whether x alone is most probable, and whether the next result is guaranteed to equal x.",
    "options": [
      "Claim true: yes; x possible: yes; x unique most probable: yes; next result guaranteed x: yes.",
      "Claim true: yes; x possible: yes; x unique most probable: yes; next result guaranteed x: no.",
      "Claim true: yes; x possible: yes; x unique most probable: no; next result guaranteed x: yes.",
      "Claim true: yes; x possible: yes; x unique most probable: no; next result guaranteed x: no.",
      "Claim true: yes; x possible: no; x unique most probable: yes; next result guaranteed x: yes.",
      "Claim true: yes; x possible: no; x unique most probable: yes; next result guaranteed x: no.",
      "Claim true: yes; x possible: no; x unique most probable: no; next result guaranteed x: yes.",
      "Claim true: yes; x possible: no; x unique most probable: no; next result guaranteed x: no.",
      "Claim true: no; x possible: yes; x unique most probable: yes; next result guaranteed x: yes.",
      "Claim true: no; x possible: yes; x unique most probable: yes; next result guaranteed x: no.",
      "Claim true: no; x possible: yes; x unique most probable: no; next result guaranteed x: yes.",
      "Claim true: no; x possible: yes; x unique most probable: no; next result guaranteed x: no.",
      "Claim true: no; x possible: no; x unique most probable: yes; next result guaranteed x: yes.",
      "Claim true: no; x possible: no; x unique most probable: yes; next result guaranteed x: no.",
      "Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: yes.",
      "Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: no."
    ],
    "answer": "Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: no.",
    "settlement_stratum": "likeliest-outcome",
    "domain": "generated batch size",
    "boundary": "aggregate-paths",
    "variant": 3,
    "oracle": {
      "mean": "7",
      "modes": [
        "7"
      ],
      "value": "8",
      "flags": [
        false,
        false,
        false,
        false
      ],
      "masses": {
        "3": "1/5",
        "7": "3/5",
        "11": "1/5"
      }
    }
  },
  {
    "id": "outcome-careful-control-0",
    "calibration": true,
    "calibration_scope": "target-independent",
    "calibration_construct": "resolved custody",
    "english": "Neutral receipt Z-910: the collector is not recorded.",
    "ainglish": "Neutral receipt Z-910: the collector is Ari.",
    "question": "Who collected the parcel on receipt Z-910?",
    "options": [
      "Ari",
      "Bela",
      "Cleo",
      "Daru",
      "Etta",
      "Fenn",
      "not determined"
    ],
    "answer": "Ari"
  },
  {
    "id": "outcome-careful-control-1",
    "calibration": true,
    "calibration_scope": "target-independent",
    "calibration_construct": "resolved custody",
    "english": "Neutral receipt Z-911: the collector is not recorded.",
    "ainglish": "Neutral receipt Z-911: the collector is Bela.",
    "question": "Who collected the parcel on receipt Z-911?",
    "options": [
      "Ari",
      "Bela",
      "Cleo",
      "Daru",
      "Etta",
      "Fenn",
      "not determined"
    ],
    "answer": "Bela"
  },
  {
    "id": "outcome-careful-control-2",
    "calibration": true,
    "calibration_scope": "target-independent",
    "calibration_construct": "resolved custody",
    "english": "Neutral receipt Z-912: the collector is not recorded.",
    "ainglish": "Neutral receipt Z-912: the collector is Cleo.",
    "question": "Who collected the parcel on receipt Z-912?",
    "options": [
      "Ari",
      "Bela",
      "Cleo",
      "Daru",
      "Etta",
      "Fenn",
      "not determined"
    ],
    "answer": "Cleo"
  },
  {
    "id": "outcome-careful-control-3",
    "calibration": true,
    "calibration_scope": "target-independent",
    "calibration_construct": "resolved custody",
    "english": "Neutral receipt Z-913: the collector is not recorded.",
    "ainglish": "Neutral receipt Z-913: the collector is Daru.",
    "question": "Who collected the parcel on receipt Z-913?",
    "options": [
      "Ari",
      "Bela",
      "Cleo",
      "Daru",
      "Etta",
      "Fenn",
      "not determined"
    ],
    "answer": "Daru"
  },
  {
    "id": "outcome-careful-control-4",
    "calibration": true,
    "calibration_scope": "target-independent",
    "calibration_construct": "resolved custody",
    "english": "Neutral receipt Z-914: the collector is not recorded.",
    "ainglish": "Neutral receipt Z-914: the collector is Etta.",
    "question": "Who collected the parcel on receipt Z-914?",
    "options": [
      "Ari",
      "Bela",
      "Cleo",
      "Daru",
      "Etta",
      "Fenn",
      "not determined"
    ],
    "answer": "Etta"
  },
  {
    "id": "outcome-careful-control-5",
    "calibration": true,
    "calibration_scope": "target-independent",
    "calibration_construct": "resolved custody",
    "english": "Neutral receipt Z-915: the collector is not recorded.",
    "ainglish": "Neutral receipt Z-915: the collector is Fenn.",
    "question": "Who collected the parcel on receipt Z-915?",
    "options": [
      "Ari",
      "Bela",
      "Cleo",
      "Daru",
      "Etta",
      "Fenn",
      "not determined"
    ],
    "answer": "Fenn"
  },
  {
    "id": "outcome-careful-control-6",
    "calibration": true,
    "calibration_scope": "target-independent",
    "calibration_construct": "resolved custody",
    "english": "Neutral receipt Z-916: the collector is not recorded.",
    "ainglish": "Neutral receipt Z-916: the collector is Ari.",
    "question": "Who collected the parcel on receipt Z-916?",
    "options": [
      "Ari",
      "Bela",
      "Cleo",
      "Daru",
      "Etta",
      "Fenn",
      "not determined"
    ],
    "answer": "Ari"
  },
  {
    "id": "outcome-careful-control-7",
    "calibration": true,
    "calibration_scope": "target-independent",
    "calibration_construct": "resolved custody",
    "english": "Neutral receipt Z-917: the collector is not recorded.",
    "ainglish": "Neutral receipt Z-917: the collector is Bela.",
    "question": "Who collected the parcel on receipt Z-917?",
    "options": [
      "Ari",
      "Bela",
      "Cleo",
      "Daru",
      "Etta",
      "Fenn",
      "not determined"
    ],
    "answer": "Bela"
  },
  {
    "id": "outcome-careful-control-8",
    "calibration": true,
    "calibration_scope": "target-independent",
    "calibration_construct": "resolved custody",
    "english": "Neutral receipt Z-918: the collector is not recorded.",
    "ainglish": "Neutral receipt Z-918: the collector is Cleo.",
    "question": "Who collected the parcel on receipt Z-918?",
    "options": [
      "Ari",
      "Bela",
      "Cleo",
      "Daru",
      "Etta",
      "Fenn",
      "not determined"
    ],
    "answer": "Cleo"
  },
  {
    "id": "outcome-careful-control-9",
    "calibration": true,
    "calibration_scope": "target-independent",
    "calibration_construct": "resolved custody",
    "english": "Neutral receipt Z-919: the collector is not recorded.",
    "ainglish": "Neutral receipt Z-919: the collector is Daru.",
    "question": "Who collected the parcel on receipt Z-919?",
    "options": [
      "Ari",
      "Bela",
      "Cleo",
      "Daru",
      "Etta",
      "Fenn",
      "not determined"
    ],
    "answer": "Daru"
  },
  {
    "id": "outcome-careful-control-10",
    "calibration": true,
    "calibration_scope": "target-independent",
    "calibration_construct": "resolved custody",
    "english": "Neutral receipt Z-920: the collector is not recorded.",
    "ainglish": "Neutral receipt Z-920: the collector is Etta.",
    "question": "Who collected the parcel on receipt Z-920?",
    "options": [
      "Ari",
      "Bela",
      "Cleo",
      "Daru",
      "Etta",
      "Fenn",
      "not determined"
    ],
    "answer": "Etta"
  },
  {
    "id": "outcome-careful-control-11",
    "calibration": true,
    "calibration_scope": "target-independent",
    "calibration_construct": "resolved custody",
    "english": "Neutral receipt Z-921: the collector is not recorded.",
    "ainglish": "Neutral receipt Z-921: the collector is Fenn.",
    "question": "Who collected the parcel on receipt Z-921?",
    "options": [
      "Ari",
      "Bela",
      "Cleo",
      "Daru",
      "Etta",
      "Fenn",
      "not determined"
    ],
    "answer": "Fenn"
  }
]