{
 "cells": [
  {
   "cell_type": "code",
   "execution_count": 11,
   "metadata": {},
   "outputs": [],
   "source": [
    "import random as rd"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 177,
   "metadata": {},
   "outputs": [],
   "source": [
    "def sons(numbers):\n",
    "    \"\"\"propagating sons down the generations\"\"\"\n",
    "    sons = 0\n",
    "    for i in range(numbers):\n",
    "        rand = rd.random()\n",
    "        if (rand < 0.3):\n",
    "            branch = 0\n",
    "        elif (rand < 0.7):\n",
    "            branch = 1\n",
    "        elif (rand < 1.0):\n",
    "            branch = 2\n",
    "        sons = sons + branch\n",
    "    return sons"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 178,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
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     ]
    }
   ],
   "source": [
    "survivors = []\n",
    "for i in range(1001):\n",
    "    males = 1\n",
    "    for i in range(101):\n",
    "        males = sons(males)\n",
    "    survivors = survivors + [males]\n",
    "print(survivors)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": []
  }
 ],
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