{
 "cells": [
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Practice Assignment 1 - Blackjack"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Welcome to Course 2 Practice Assignment 1. In this notebook you will see the optimal policy for Blackjack with different deal policies.\n",
    "\n",
    "In a previous video (Solving the Blackjack Example) we described the optimal policy for Blackjack when the dealer sticks at 17. How would the optimal policy change if the dealer's policy were different? Would the optimal agent play more conservatively?\n",
    "\n",
    "We ran experiments similar to Example 5.3 in the textbook but with different dealer policies. You can change dealer_sticks in the cell below to another number between 12 and 20 and see the optimal policy against that dealer.\n",
    "\n",
    "This notebook is not graded. You do not need to write down any answers."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<IPython.core.display.Image object>"
      ]
     },
     "execution_count": 1,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "dealer_sticks = 17\n",
    "\n",
    "from IPython.display import Image \n",
    "assert 11<dealer_sticks<21, 'Please provide a number between 12 and 20.'\n",
    "Image(filename='plots/plt_'+str(dealer_sticks)+'.png')"
   ]
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "Python 3",
   "language": "python",
   "name": "python3"
  },
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 3
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython3",
   "version": "3.7.1"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 2
}