diff --git a/competitive_pig.ipynb b/competitive_pig.ipynb new file mode 100644 index 0000000..b170a29 --- /dev/null +++ b/competitive_pig.ipynb @@ -0,0 +1,676 @@ +{ + "metadata": { + "name": "", + "signature": "sha256:a328723009997e45fca321d71c21057337da3771b752adfb85a059a2e8f77e24" + }, + "nbformat": 3, + "nbformat_minor": 0, + "worksheets": [ + { + "cells": [ + { + "cell_type": "code", + "collapsed": false, + "input": [ + "import random\n", + "import matplotlib.pyplot as plt\n", + "import seaborn\n", + "import statistics as st\n", + "from numpy import arange" + ], + "language": "python", + "metadata": {}, + "outputs": [], + "prompt_number": 22 + }, + { + "cell_type": "code", + "collapsed": false, + "input": [ + "%matplotlib inline" + ], + "language": "python", + "metadata": {}, + "outputs": [], + "prompt_number": 23 + }, + { + "cell_type": "code", + "collapsed": false, + "input": [ + "def plot_histogram(data, title, xlabel, ylabel, player_1_label, player_2_label):\n", + " bar_width = 1\n", + "\n", + " plt.bar(1, data[0], bar_width, color='b')\n", + " plt.bar(2, data[1], bar_width, color='r')\n", + " plt.title(title)\n", + " plt.xlabel(xlabel)\n", + " plt.ylabel(ylabel)\n", + " plt.xticks(arange(1, 3)+bar_width/2, [player_1_label, player_2_label])\n", + " plt.gcf().set_size_inches(8,6)\n", + "\n", + " plt.show()" + ], + "language": "python", + "metadata": {}, + "outputs": [], + "prompt_number": 24 + }, + { + "cell_type": "code", + "collapsed": false, + "input": [ + "def get_mean_stdev(data):\n", + " return st.mean(data), st.stdev(data)" + ], + "language": "python", + "metadata": {}, + "outputs": [], + "prompt_number": 25 + }, + { + "cell_type": "code", + "collapsed": false, + "input": [ + "class PigPlayer:\n", + " \"\"\"Basic player, always holds when given an option\"\"\"\n", + " def __init__(self):\n", + " self.current_score = 0\n", + " self.opponent_score = 0\n", + " \n", + " def roll_or_stand(self, turn_value):\n", + " \"\"\"Returns True for roll, returns False for holds\"\"\"\n", + " return False\n", + " \n", + " def update_score(self, turn_value):\n", + " self.current_score += turn_value\n", + " \n", + " def update_opponent_score(self, score):\n", + " self.opponent_score += score\n", + " \n", + " def report_score(self):\n", + " return self.current_score\n", + " \n", + " def reset_player(self):\n", + " self.current_score = 0" + ], + "language": "python", + "metadata": {}, + "outputs": [], + "prompt_number": 26 + }, + { + "cell_type": "code", + "collapsed": false, + "input": [ + "class HoldsAt20(PigPlayer):\n", + " \"\"\"Player who always holds at 20 or more\"\"\"\n", + " def roll_or_stand(self, turn_value):\n", + " if self.current_score + turn_value >= 100:\n", + " return False\n", + " return not turn_value >= 20" + ], + "language": "python", + "metadata": {}, + "outputs": [], + "prompt_number": 27 + }, + { + "cell_type": "code", + "collapsed": false, + "input": [ + "class CompetitivePlayer1(PigPlayer):\n", + " \"\"\"Player with basic strategy against another player\"\"\"\n", + " def roll_or_stand(self, turn_value):\n", + " if self.current_score > self.opponent_score:\n", + " return not turn_value >= 20\n", + " elif self.opponent_score > 80:\n", + " return not turn_value >= 100 - self.current_score\n", + " else:\n", + " return not turn_value >= 25" + ], + "language": "python", + "metadata": {}, + "outputs": [], + "prompt_number": 28 + }, + { + "cell_type": "code", + "collapsed": false, + "input": [ + "class CompetitivePlayer2(PigPlayer):\n", + " \"\"\"Another attempt at a better strategy\"\"\"\n", + " def roll_or_stand(self, turn_value):\n", + " if self.current_score + turn_value >= 100:\n", + " return False\n", + " elif self.current_score < self.opponent_score - 20:\n", + " return not turn_value >= 25\n", + " else:\n", + " return not turn_value >= 20" + ], + "language": "python", + "metadata": {}, + "outputs": [], + "prompt_number": 29 + }, + { + "cell_type": "code", + "collapsed": false, + "input": [ + "class CompetitivePlayer3(PigPlayer):\n", + " def roll_or_stand(self, turn_value):\n", + " if self.current_score + turn_value >= 100:\n", + " return False\n", + " elif self.current_score > self.opponent_score:\n", + " return not turn_value >= 25\n", + " else:\n", + " return not turn_value >= 20" + ], + "language": "python", + "metadata": {}, + "outputs": [], + "prompt_number": 30 + }, + { + "cell_type": "code", + "collapsed": false, + "input": [ + "class Game:\n", + " \n", + " def __init__(self, player1, player2):\n", + " self.player1 = player1\n", + " self.player2 = player2\n", + " \n", + " def roll_die(self):\n", + " return random.randint(1, 6)\n", + " \n", + " def play_game(self):\n", + " self.player1.reset_player()\n", + " self.player2.reset_player()\n", + " while self.player1.report_score() < 100 and self.player2.report_score() < 100:\n", + " self.player2.update_opponent_score(self.next_turn(self.player1))\n", + " if self.player1.report_score() >= 100:\n", + " break\n", + " self.player1.update_opponent_score(self.next_turn(self.player2))\n", + " \n", + " return self.player1.report_score() >= 100\n", + " \n", + " def next_turn(self, player):\n", + " turn_value = 0\n", + " roll = 0\n", + " \n", + " while roll != 1:\n", + " roll = self.roll_die()\n", + " if roll == 1:\n", + " return player.report_score()\n", + " turn_value += roll\n", + " if not player.roll_or_stand(turn_value):\n", + " player.update_score(turn_value)\n", + " return player.report_score()\n" + ], + "language": "python", + "metadata": {}, + "outputs": [], + "prompt_number": 31 + }, + { + "cell_type": "code", + "collapsed": false, + "input": [ + "class Simulation:\n", + " \n", + " def __init__(self, game):\n", + " self.game = game\n", + " \n", + " def run_simulation(self, iterations):\n", + " game_results = [0, 0]\n", + " for _ in range(iterations):\n", + " round_results = game.play_game()\n", + " if round_results:\n", + " game_results[0] += 1\n", + " else:\n", + " game_results[1] += 1\n", + " return game_results" + ], + "language": "python", + "metadata": {}, + "outputs": [], + "prompt_number": 32 + }, + { + "cell_type": "heading", + "level": 1, + "metadata": {}, + "source": [ + "Simulation 1: Competitive Player Attempt 1" + ] + }, + { + "cell_type": "code", + "collapsed": false, + "input": [ + "player1 = HoldsAt20()\n", + "player2 = CompetitivePlayer1()\n", + "game = Game(player1, player2)\n", + "sim = Simulation(game)" + ], + "language": "python", + "metadata": {}, + "outputs": [], + "prompt_number": 33 + }, + { + "cell_type": "code", + "collapsed": false, + "input": [ + "sim_1_data = sim.run_simulation(100000)" + ], + "language": "python", + "metadata": {}, + "outputs": [], + "prompt_number": 34 + }, + { + "cell_type": "code", + "collapsed": false, + "input": [ + "print(\"Holds at 20 Player Wins: {}, Competitive Player Wins: {}\".format(sim_1_data[0], sim_1_data[1]))" + ], + "language": "python", + "metadata": {}, + "outputs": [ + { + "output_type": "stream", + "stream": "stdout", + "text": [ + "Holds at 20 Player Wins: 88874, Competitive Player Wins: 11126\n" + ] + } + ], + "prompt_number": 35 + }, + { + "cell_type": "code", + "collapsed": false, + "input": [ + "plot_histogram(sim_1_data, \"Competitive Player Attempt 1\", \"Players\", \"Wins\", \"Holds at 20\", \"Competitive\")" + ], + "language": "python", + "metadata": {}, + "outputs": [ + { + "metadata": {}, + "output_type": "display_data", + "png": 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+ "text": [ + "" + ] + } + ], + "prompt_number": 36 + }, + { + "cell_type": "heading", + "level": 1, + "metadata": {}, + "source": [ + "Simulation 2 - Competitive Player Goes First" + ] + }, + { + "cell_type": "code", + "collapsed": false, + "input": [ + "player1 = CompetitivePlayer1()\n", + "player2 = HoldsAt20()\n", + "game = Game(player1, player2)\n", + "sim = Simulation(game)" + ], + "language": "python", + "metadata": {}, + "outputs": [], + "prompt_number": 37 + }, + { + "cell_type": "code", + "collapsed": false, + "input": [ + "sim_2_data = sim.run_simulation(100000)" + ], + "language": "python", + "metadata": {}, + "outputs": [], + "prompt_number": 38 + }, + { + "cell_type": "code", + "collapsed": false, + "input": [ + "print(\"Competitive Player Wins: {}, Holds at 20 Player Wins: {}\".format(sim_2_data[0], sim_2_data[1]))" + ], + "language": "python", + "metadata": {}, + "outputs": [ + { + "output_type": "stream", + "stream": "stdout", + "text": [ + "Competitive Player Wins: 12126, Holds at 20 Player Wins: 87874\n" + ] + } + ], + "prompt_number": 39 + }, + { + "cell_type": "code", + "collapsed": false, + "input": [ + "plot_histogram(sim_2_data, \"Competitive Player Attempt 1 - Competitive Player Goes First\", \"Players\", \"Wins\", \"Competitive\", \"Holds at 20\")" + ], + "language": "python", + "metadata": {}, + "outputs": [ + { + "metadata": {}, + "output_type": "display_data", + "png": 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LwMADm7JpGkd9fb309w92uxoag2XL7mdGtysh6VE6Pqu/TYvySN+L6uS924Ar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\nEvkZlLu4LcjMN9U7Ki4Yelx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+ "text": [ + "" + ] + } + ], + "prompt_number": 40 + }, + { + "cell_type": "heading", + "level": 1, + "metadata": {}, + "source": [ + "Simulation 3 - Another Attempt" + ] + }, + { + "cell_type": "code", + "collapsed": false, + "input": [ + "player1 = HoldsAt20()\n", + "player2 = CompetitivePlayer2()\n", + "game = Game(player1, player2)\n", + "sim = Simulation(game)" + ], + "language": "python", + "metadata": {}, + "outputs": [], + "prompt_number": 41 + }, + { + "cell_type": "code", + "collapsed": false, + "input": [ + "sim_3_data = sim.run_simulation(100000)" + ], + "language": "python", + "metadata": {}, + "outputs": [], + "prompt_number": 42 + }, + { + "cell_type": "code", + "collapsed": false, + "input": [ + "print(\"Holds at 20 Player Wins: {}, Competitive Player Wins: {}\".format(sim_3_data[0], sim_3_data[1]))" + ], + "language": "python", + "metadata": {}, + "outputs": [ + { + "output_type": "stream", + "stream": "stdout", + "text": [ + "Holds at 20 Player Wins: 51824, Competitive Player Wins: 48176\n" + ] + } + ], + "prompt_number": 43 + }, + { + "cell_type": "code", + "collapsed": false, + "input": [ + "plot_histogram(sim_3_data, \"Competitive Player Attempt 2\", \"Players\", \"Wins\", \"Holds at 20\", \"Competitive\")" + ], + "language": "python", + "metadata": {}, + "outputs": [ + { + "metadata": {}, + "output_type": "display_data", + "png": 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+ "text": [ + "" + ] + } + ], + "prompt_number": 44 + }, + { + "cell_type": "code", + "collapsed": false, + "input": [ + "player1 = CompetitivePlayer2()\n", + "player2 = HoldsAt20()\n", + "game = Game(player1, player2)\n", + "sim = Simulation(game)" + ], + "language": "python", + "metadata": {}, + "outputs": [], + "prompt_number": 45 + }, + { + "cell_type": "heading", + "level": 1, + "metadata": {}, + "source": [ + "Simulation 4 - Competitive Player Goes First" + ] + }, + { + "cell_type": "code", + "collapsed": false, + "input": [ + "sim_4_data = sim.run_simulation(100000)" + ], + "language": "python", + "metadata": {}, + "outputs": [], + "prompt_number": 46 + }, + { + "cell_type": "code", + "collapsed": false, + "input": [ + "print(\"Competitive Player Wins: {}, Holds at 20 Player Wins: {}\".format(sim_4_data[0], sim_4_data[1]))" + ], + "language": "python", + "metadata": {}, + "outputs": [ + { + "output_type": "stream", + "stream": "stdout", + "text": [ + "Competitive Player Wins: 54176, Holds at 20 Player Wins: 45824\n" + ] + } + ], + "prompt_number": 47 + }, + { + "cell_type": "code", + "collapsed": false, + "input": [ + "plot_histogram(sim_4_data, \"Competitive Player Attempt 2 - Competitive Player Goes First\", \"Players\", \"Wins\", \"Competitive\", \"Holds at 20\")" + ], + "language": "python", + "metadata": {}, + "outputs": [ + { + "metadata": {}, + "output_type": "display_data", + "png": 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+ "text": [ + "" + ] + } + ], + "prompt_number": 48 + }, + { + "cell_type": "heading", + "level": 1, + "metadata": {}, + "source": [ + "Simulation 5 - Another Failed Strategy" + ] + }, + { + "cell_type": "code", + "collapsed": false, + "input": [ + "player1 = HoldsAt20()\n", + "player2 = CompetitivePlayer3()\n", + "game = Game(player1, player2)\n", + "sim = Simulation(game)" + ], + "language": "python", + "metadata": {}, + "outputs": [], + "prompt_number": 49 + }, + { + "cell_type": "code", + "collapsed": false, + "input": [ + "sim_5_data = sim.run_simulation(100000)" + ], + "language": "python", + "metadata": {}, + "outputs": [], + "prompt_number": 50 + }, + { + "cell_type": "code", + "collapsed": false, + "input": [ + "print(\"Holds at 20 Player Wins: {}, Competitive Player Wins: {}\".format(sim_5_data[0], sim_5_data[1]))" + ], + "language": "python", + "metadata": {}, + "outputs": [ + { + "output_type": "stream", + "stream": "stdout", + "text": [ + "Holds at 20 Player Wins: 53409, Competitive Player Wins: 46591\n" + ] + } + ], + "prompt_number": 51 + }, + { + "cell_type": "code", + "collapsed": false, + "input": [ + "plot_histogram(sim_5_data, \"Competitive Player Attempt 3\", \"Players\", \"Wins\", \"Holds at 20\", \"Competitive\")" + ], + "language": "python", + "metadata": {}, + "outputs": [ + { + "metadata": {}, + "output_type": "display_data", + "png": 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+ "text": [ + "" + ] + } + ], + "prompt_number": 52 + }, + { + "cell_type": "heading", + "level": 1, + "metadata": {}, + "source": [ + "Simulation 6 - Competitive Player Goes First" + ] + }, + { + "cell_type": "code", + "collapsed": false, + "input": [ + "player1 = CompetitivePlayer3()\n", + "player2 = HoldsAt20()\n", + "game = Game(player1, player2)\n", + "sim = Simulation(game)" + ], + "language": "python", + "metadata": {}, + "outputs": [], + "prompt_number": 53 + }, + { + "cell_type": "code", + "collapsed": false, + "input": [ + "sim_6_data = sim.run_simulation(100000)" + ], + "language": "python", + "metadata": {}, + "outputs": [], + "prompt_number": 54 + }, + { + "cell_type": "code", + "collapsed": false, + "input": [ + "print(\"Competitive Player Wins: {}, Holds at 20 Player Wins: {}\".format(sim_4_data[0], sim_4_data[1]))" + ], + "language": "python", + "metadata": {}, + "outputs": [ + { + "output_type": "stream", + "stream": "stdout", + "text": [ + "Competitive Player Wins: 54176, Holds at 20 Player Wins: 45824\n" + ] + } + ], + "prompt_number": 55 + }, + { + "cell_type": "code", + "collapsed": false, + "input": [ + "plot_histogram(sim_6_data, \"Competitive Player Attempt 3 - Competitive Player Goes First\", \"Players\", \"Wins\", \"Competitive\", \"Holds at 20\")" + ], + "language": "python", + "metadata": {}, + "outputs": [ + { + "metadata": {}, + "output_type": "display_data", + "png": 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+ "text": [ + "" + ] + } + ], + "prompt_number": 56 + } + ], + "metadata": {} + } + ] +} \ No newline at end of file diff --git a/pig_sim.ipynb b/pig_sim.ipynb new file mode 100644 index 0000000..af7ab23 --- /dev/null +++ b/pig_sim.ipynb @@ -0,0 +1,955 @@ +{ + "metadata": { + "name": "", + "signature": "sha256:0bd87f9ffbe1d7ee55a04d659a050d175f2ca04bc364afe9be9ac82ec4620dd2" + }, + "nbformat": 3, + "nbformat_minor": 0, + "worksheets": [ + { + "cells": [ + { + "cell_type": "code", + "collapsed": false, + "input": [ + "import random\n", + "import matplotlib.pyplot as plt\n", + "import seaborn\n", + "import statistics as st" + ], + "language": "python", + "metadata": {}, + "outputs": [], + "prompt_number": 317 + }, + { + "cell_type": "code", + "collapsed": false, + "input": [ + "%matplotlib inline" + ], + "language": "python", + "metadata": {}, + "outputs": [], + "prompt_number": 318 + }, + { + "cell_type": "code", + "collapsed": false, + "input": [ + "def plot_histogram(data, title, xlabel, ylabel, bins, mean, stdev):\n", + " plt.hist(data, bins=bins)\n", + " plt.gcf().set_size_inches(8,6)\n", + " plt.xlabel(xlabel)\n", + " plt.ylabel(ylabel)\n", + " plt.title(title + \"\\nMean = {}, Standard Deviation = {}\".format(mean, stdev))\n", + " plt.show()" + ], + "language": "python", + "metadata": {}, + "outputs": [], + "prompt_number": 319 + }, + { + "cell_type": "code", + "collapsed": false, + "input": [ + "def get_mean_stdev(data):\n", + " return st.mean(data), st.stdev(data)" + ], + "language": "python", + "metadata": {}, + "outputs": [], + "prompt_number": 320 + }, + { + "cell_type": "code", + "collapsed": false, + "input": [ + "class PigPlayer:\n", + " \"\"\"Basic player, always holds when given an option\"\"\"\n", + " def __init__(self):\n", + " self.current_score = 0\n", + " \n", + " def roll_or_stand(self, turn_value):\n", + " \"\"\"Returns True for roll, returns False for holds\"\"\"\n", + " return False\n", + " \n", + " def update_score(self, turn_value):\n", + " self.current_score += turn_value\n", + " \n", + " def report_score(self):\n", + " return self.current_score\n", + " \n", + " def reset_player(self):\n", + " self.current_score = 0" + ], + "language": "python", + "metadata": {}, + "outputs": [], + "prompt_number": 321 + }, + { + "cell_type": "code", + "collapsed": false, + "input": [ + "class HoldsAt10(PigPlayer):\n", + " \"\"\"Player who always holds at 10 or more\"\"\"\n", + " def roll_or_stand(self, turn_value):\n", + " return not turn_value >= 10" + ], + "language": "python", + "metadata": {}, + "outputs": [], + "prompt_number": 322 + }, + { + "cell_type": "code", + "collapsed": false, + "input": [ + "class HoldsAt15(PigPlayer):\n", + " \"\"\"Player who always holds at 15 or more\"\"\"\n", + " def roll_or_stand(self, turn_value):\n", + " return not turn_value >= 15" + ], + "language": "python", + "metadata": {}, + "outputs": [], + "prompt_number": 323 + }, + { + "cell_type": "code", + "collapsed": false, + "input": [ + "class HoldsAt20(PigPlayer):\n", + " \"\"\"Player who always holds at 20 or more\"\"\"\n", + " def roll_or_stand(self, turn_value):\n", + " return not turn_value >= 20" + ], + "language": "python", + "metadata": {}, + "outputs": [], + "prompt_number": 324 + }, + { + "cell_type": "code", + "collapsed": false, + "input": [ + "class HoldsAt25(PigPlayer):\n", + " \"\"\"Player who always holds at 35 or more\"\"\"\n", + " def roll_or_stand(self, turn_value):\n", + " return not turn_value >= 25" + ], + "language": "python", + "metadata": {}, + "outputs": [], + "prompt_number": 325 + }, + { + "cell_type": "code", + "collapsed": false, + "input": [ + "class TwoRoller(PigPlayer):\n", + " \"\"\"Player only rolls at most twice\"\"\"\n", + " def __init__(self):\n", + " self.current_score = 0\n", + " self.num_rolls = 0\n", + " \n", + " def reset_player(self):\n", + " self.current_score = 0\n", + " self.num_rolls = 0\n", + " \n", + " def roll_or_stand(self, turn_value):\n", + " self.num_rolls += 1\n", + " return not self.num_rolls == 2" + ], + "language": "python", + "metadata": {}, + "outputs": [], + "prompt_number": 326 + }, + { + "cell_type": "code", + "collapsed": false, + "input": [ + "class ThreeRoller(PigPlayer):\n", + " \"\"\"Player only rolls at most thrice\"\"\"\n", + " def __init__(self):\n", + " self.current_score = 0\n", + " self.num_rolls = 0\n", + " \n", + " def reset_player(self):\n", + " self.current_score = 0\n", + " self.num_rolls = 0\n", + " \n", + " def roll_or_stand(self, turn_value):\n", + " self.num_rolls += 1\n", + " return not self.num_rolls == 3" + ], + "language": "python", + "metadata": {}, + "outputs": [], + "prompt_number": 327 + }, + { + "cell_type": "code", + "collapsed": false, + "input": [ + "class FourRoller(PigPlayer):\n", + " \"\"\"Player only rolls at most four times \"\"\"\n", + " def __init__(self):\n", + " self.current_score = 0\n", + " self.num_rolls = 0\n", + " \n", + " def reset_player(self):\n", + " self.current_score = 0\n", + " self.num_rolls = 0\n", + " \n", + " def roll_or_stand(self, turn_value):\n", + " self.num_rolls += 1\n", + " return not self.num_rolls == 4" + ], + "language": "python", + "metadata": {}, + "outputs": [], + "prompt_number": 328 + }, + { + "cell_type": "code", + "collapsed": false, + "input": [ + "class LuckyRoller(PigPlayer):\n", + " \"\"\"Player only rolls at most lucky number 7 times \"\"\"\n", + " def __init__(self):\n", + " self.current_score = 0\n", + " self.num_rolls = 0\n", + " \n", + " def reset_player(self):\n", + " self.current_score = 0\n", + " self.num_rolls = 0\n", + " \n", + " def roll_or_stand(self, turn_value):\n", + " self.num_rolls += 1\n", + " return not self.num_rolls == 7" + ], + "language": "python", + "metadata": {}, + "outputs": [], + "prompt_number": 329 + }, + { + "cell_type": "code", + "collapsed": false, + "input": [ + "class CrazyRoller(PigPlayer):\n", + " \"\"\"Always tries to roll 10 times\"\"\"\n", + " def __init__(self):\n", + " self.current_score = 0\n", + " self.num_rolls = 0\n", + " \n", + " def reset_player(self):\n", + " self.current_score = 0\n", + " self.num_rolls = 0\n", + " \n", + " def roll_or_stand(self, turn_value):\n", + " self.num_rolls += 1\n", + " return not self.num_rolls == 10" + ], + "language": "python", + "metadata": {}, + "outputs": [], + "prompt_number": 330 + }, + { + "cell_type": "code", + "collapsed": false, + "input": [ + "class Game:\n", + " \n", + " def __init__(self, player):\n", + " self.player = player\n", + " \n", + " def roll_die(self):\n", + " return random.randint(1, 6)\n", + " \n", + " def play_game(self):\n", + " self.player.reset_player()\n", + " for _ in range(7):\n", + " self.next_turn()\n", + " return self.player.report_score()\n", + " \n", + " def next_turn(self):\n", + " turn_value = 0\n", + " roll = 0\n", + " self.player.num_rolls = 0\n", + " \n", + " while roll != 1:\n", + " roll = self.roll_die()\n", + " if roll == 1:\n", + " return\n", + " turn_value += roll\n", + " if not self.player.roll_or_stand(turn_value):\n", + " self.player.update_score(turn_value)\n", + " return" + ], + "language": "python", + "metadata": {}, + "outputs": [], + "prompt_number": 331 + }, + { + "cell_type": "code", + "collapsed": false, + "input": [ + "class Simulation:\n", + " \n", + " def __init__(self, game):\n", + " self.game = game\n", + " \n", + " def run_simulation(self, iterations):\n", + " game_results = []\n", + " for _ in range(iterations):\n", + " game_results.append(game.play_game())\n", + " return game_results\n", + " " + ], + "language": "python", + "metadata": {}, + "outputs": [], + "prompt_number": 332 + }, + { + "cell_type": "heading", + "level": 1, + "metadata": {}, + "source": [ + "First Simulation: Player Always Stands" + ] + }, + { + "cell_type": "code", + "collapsed": false, + "input": [ + "player = PigPlayer()\n", + "game = Game(player)\n", + "sim = Simulation(game)" + ], + "language": "python", + "metadata": {}, + "outputs": [], + "prompt_number": 333 + }, + { + "cell_type": "code", + "collapsed": false, + "input": [ + "sim_1_data = sim.run_simulation(100000)" + ], + "language": "python", + "metadata": {}, + "outputs": [], + "prompt_number": 334 + }, + { + "cell_type": "code", + "collapsed": false, + "input": [ + "pig_player_mean, pig_player_stddev = get_mean_stdev(sim_1_data)" + ], + "language": "python", + "metadata": {}, + "outputs": [], + "prompt_number": 335 + }, + { + "cell_type": "code", + "collapsed": false, + "input": [ + "plot_histogram(sim_1_data, \"Pig Player Always Holds\", \"Score\", \"Games Score Achieved\", 20, pig_player_mean, pig_player_stddev)" + ], + "language": "python", + "metadata": {}, + "outputs": [ + { + "metadata": {}, + "output_type": "display_data", + "png": 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nVeyr8VLoXT+IPv2HVjobIt2WAgORHq6xcT6TL55D7/pBW5zW8oXPMnDYnkXI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\nYCAiIiIJBQYiIiKS+P+WodtC8+1sDAAAAABJRU5ErkJggg==\n", + "text": [ + "" + ] + } + ], + "prompt_number": 336 + }, + { + "cell_type": "heading", + "level": 1, + "metadata": {}, + "source": [ + "Second Simulation: Player Holds at 10" + ] + }, + { + "cell_type": "code", + "collapsed": false, + "input": [ + "player = HoldsAt10()\n", + "game = Game(player)\n", + "sim = Simulation(game)" + ], + "language": "python", + "metadata": {}, + "outputs": [], + "prompt_number": 337 + }, + { + "cell_type": "code", + "collapsed": false, + "input": [ + "sim_2_data = sim.run_simulation(100000)" + ], + "language": "python", + "metadata": {}, + "outputs": [], + "prompt_number": 338 + }, + { + "cell_type": "code", + "collapsed": false, + "input": [ + "holds_10_mean, holds_10_stdev = get_mean_stdev(sim_2_data)" + ], + "language": "python", + "metadata": {}, + "outputs": [], + "prompt_number": 339 + }, + { + "cell_type": "code", + "collapsed": false, + "input": [ + "plot_histogram(sim_2_data, \"Pig Player Holds at 10\", \"Score\", \"Games\", 20, holds_10_mean, holds_10_stdev)" + ], + "language": "python", + "metadata": {}, + "outputs": [ + { + "metadata": {}, + "output_type": "display_data", + "png": 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EuLrN2cDxmTkDmBERrTyPB5bX9DOAU7u4L5IkjTldq0nIzB9FxB690q5pe/o/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\njQwSJElSo/8PEcQLeqATY8IAAAAASUVORK5CYII=\n", + "text": [ + "" + ] + } + ], + "prompt_number": 340 + }, + { + "cell_type": "heading", + "level": 1, + "metadata": {}, + "source": [ + "Third Simulation: Player Holds at 15" + ] + }, + { + "cell_type": "code", + "collapsed": false, + "input": [ + "player = HoldsAt15()\n", + "game = Game(player)\n", + "sim = Simulation(game)" + ], + "language": "python", + "metadata": {}, + "outputs": [], + "prompt_number": 341 + }, + { + "cell_type": "code", + "collapsed": false, + "input": [ + "sim_3_data = sim.run_simulation(1000000)" + ], + "language": "python", + "metadata": {}, + "outputs": [], + "prompt_number": 342 + }, + { + "cell_type": "code", + "collapsed": false, + "input": [ + "holds_15_mean, holds_15_stdev = get_mean_stdev(sim_3_data)" + ], + "language": "python", + "metadata": {}, + "outputs": [], + "prompt_number": 343 + }, + { + "cell_type": "code", + "collapsed": false, + "input": [ + "plot_histogram(sim_3_data, \"Pig Player Holds at 15\", \"Score\", \"Games\", 20, holds_15_mean, holds_15_stdev)" + ], + "language": "python", + "metadata": {}, + "outputs": [ + { + "metadata": {}, + "output_type": "display_data", + "png": 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y8z8ZvI/F/oOccypw6gDbrwN2H2D776kByAD7zgHOGWl+JUnSyDkTpSRJaswA\nQpIkNWYAIUmSGjOAkCRJjRlASJKkxgwgJElSYwYQkiSpMQMISZLUmAGEJElqzABCkiQ1ZgAhSZIa\nM4CQJEmNGUBIkqTGDCAkSVJjBhCSJKkxAwhJktSYAYQkSWrMAEKSJDVmACFJkhozgJAkSY0ZQEiS\npMYMICRJUmMGEJIkqTEDCEmS1JgBhCRJaswAQpIkNWYAIUmSGjOAkCRJjRlASJKkxgwgJElSYwYQ\nkiSpMQMISZLUmAGEJElqzABCkiQ1ZgAhSZIaM4CQJEmNGUBIkqTGDCAkSVJjBhCSJKkxAwhJktSY\nAYQkSWrMAEKSJDVmACFJkhozgJAkSY0ZQEiSpMYMICRJUmMGEJIkqTEDCEmS1JgBhCRJaswAQpIk\nNWYAIUmSGjOAkCRJjRlASJKkxgwgJElSYwYQkiSpsc1HOwOSJoY1a9awaNGCjqc7Z85OTJ48uePp\nSto4BhCSOmLRogUc87HLmDJ9VsfSfHDlPZxx7Dx22WVux9KU1BkGEJI6Zsr0WUzdevZoZ0PSJtDV\nACIivgC8ErgnM3ev204C3gLcWw87PjO/U/cdB7wZeBQ4OjOvrNufB5wLPAW4PDOPqdu3AM4H9gKW\nAYdm5oK6bz7wvvo/PpSZ53ezrJIk9ZJud6I8Bziw37Y+4PTM3LP+tIKHXYFDgV3rOWdFxKR6zmeB\nIzNzLjA3IlppHgksq9s/CZxW05oBnADsXX9OjIindauQkiT1mq4GEJn5Y2DFALsmDbDtIOCizHwk\nM+8AbgP2iYjtgGmZeU097nzgNfXxPOC8+vgS4KX18QHAlZl5X2beB1zFEwMZSZK0gUZrGOc7IuKG\niDi7rWZge2Bx2zGLgdkDbF9St1N/LwLIzLXAyojYZoi0JElSB4xGAPFZYGfgucBdwCdGIQ+SJGkj\nbPJRGJl5T+txRHwe+Gb9cwkwp+3QHSg1B0vq4/7bW+fsCNwZEZsD0zNzWUQsAfZrO2cOcPVweZs5\nc1qjskw0vVz+TpV9xYqpHUmnvxkzpnb19elE2uO17NDb732w/L1e/g21yQOIiNguM++qf74WuKk+\nvgy4MCJOpzQ3zAWuycy+iLg/IvYBrgGOAM5sO2c+8DPgYOD7dfuVwKm1eWQS8DLgPcPl7d57V21s\n8catmTOn9Wz5O1n25ctXdySdgdLt1uvTqfKPx7JDb7/3wfL3cvk3NnDq9jDOi4B9gadHxCLgRGC/\niHguZTT/IQIAAAAVVUlEQVTG7cDfAWTmzRFxMXAzsBY4KjP7alJHUYZxbkkZxnlF3X42cEFE3EoZ\nxnlYTWt5RHwQuLYed3LtTClJkjqgqwFEZh4+wOYvDHH8qcCpA2y/Dth9gO2/Bw4ZJK1zKMNIJUlS\nh7mYliRJaswAQpIkNWYAIUmSGjOAkCRJjRlASJKkxgwgJElSYwYQkiSpMQMISZLUmAGEJElqzABC\nkiQ1ZgAhSZIaM4CQJEmNGUBIkqTGGgcQEbFVNzIiSZLGj2GX846IVwMvAj4IXAPMiogTM/PT3c6c\nJEkam0ZSA3Ei8AXgUEoAsRPwpm5mSpIkjW0jasLIzF8DrwS+mZmrgSd3NVeSJGlMG0kAsTQiPg38\nKXBFRHwCWNjdbEmSpLFsJAHE4ZSmi/1q7cOtdZskSepRwwYQmXk/8CjwpoiYCjyUmau6njNJkjRm\nDRtARMRpwCuAv6L0fXhjRJze7YxJkqSxayRNGAcAfwM8nJkrgJdRAgpJktSjRhJAPNrv7y0G2CZJ\nknrISAKIrwBfAmZExDuBHwMXdTVXkiRpTBt2JsrM/EhEHEgZujkHOCEzv9X1nEmSpDFrpGth3Al8\nE/gGsCoiXty9LEmSpLFuJGthfAnYC1jSb9dfdCVHkiRpzBs2gAD2AJ6TmXaclCRJwMiaMH4OzO12\nRiRJ0vgxkhqIq4H/iYi7gLV1W19m/kH3siVJksaykQQQHwJeggtoSZKkaiQBxD3Af2bmY93OjCRJ\nGh9GEkDcCPw0Iq4CHqnb+jLzA93LliRJGstGEkAsZF3zxaQu5kWSJI0TI5mJ8qT2vyNiM2DnbmVI\nkiSNfSOZSOodwCnAU1lXA3ELsFsX8yWtZ82aNSxatKDj6c6Zs1PH05SkXjCSJox3Ac+lBBHHAfsB\nz+5inqQnWLRoAcd87DKmTJ/VsTQfXHkPZxw7j9mzt+lYmpLUK0Y0CiMzfxsRNwC7Z+a5EfGTbmdM\n6m/K9FlM3Xr2aGdDksTIZqJ8ICL+ArgJmBcR2wHP6G62JEnSWDaSAOIdwDzgO8AMSv+HT3czU5Ik\naWwbMoCIiKOAuZn5TuBnlFU5f0dZ2luSJPWoQQOIiDgO+Cvg5rrpKZQOlJ+idKaUJEk9aqgaiPnA\nazMz69+PZuYC4LPAn3U9Z5IkacwaKoB4NDNXtf19CkBmPgr8vqu5kiRJY9pQAcSkiNiq9UdmfhUg\nIqYDfd3OmCRJGruGCiC+CJxXAwYAImIacE7dJ0mSetRQE0mdBpwF3BkRN1NqHXYFLgBO3wR5kyRJ\nY9SgAURmrgXeGhEfAPaum6+rHSklSVIPG8lqnIuBxZsgL5IkaZwYyUyUkiRJ6zGAkCRJjRlASJKk\nxgwgJElSYwYQkiSpMQMISZLUmAGEJElqzABCkiQ1ZgAhSZIaG3Ymyo0REV8AXgnck5m7120zgC8D\nOwF3AIdk5n1133HAm4FHgaMz88q6/XnAucBTgMsz85i6fQvgfGAvYBlwaGuq7YiYD7yvZuVDmXl+\nN8sqSVIv6XYNxDnAgf22vRe4KjOfBXy//k1E7AocSlmw60DgrIiYVM/5LHBkZs4F5kZEK80jgWV1\n+ycpC4C1gpQTKGt47A2cGBFP604RJUnqPV0NIDLzx8CKfpvnAefVx+cBr6mPDwIuysxHMvMO4DZg\nn4jYDpiWmdfU485vO6c9rUuAl9bHBwBXZuZ9tXbjKp4YyEiSpA00Gn0gts3MpfXxUmDb+nh71l+0\nazEwe4DtS+p26u9F8PjqoSsjYpsh0pIkSR0wqp0oM7MP6BvNPEiSpOa62olyEEsj4hmZeXdtnrin\nbl8CzGk7bgdKzcGS+rj/9tY5OwJ3RsTmwPTMXBYRS4D92s6ZA1w9XMZmzpy2AcWZOMZy+VesmNqV\ndGfMKOl2quzdzGc3X59OpD1eyw5j+72/KVj+3i7/hhqNAOIyYD6lw+N84NK27RdGxOmU5oa5wDWZ\n2RcR90fEPsA1wBHAmf3S+hlwMKVTJsCVwKm14+Qk4GXAe4bL2L33rtr40o1TM2dOG9PlX758dVfT\n7VTZu5nPbr0+nXrtx2PZYey/97vN8vdu+Tc2cOr2MM6LgH2Bp0fEIsrIiI8AF0fEkdRhnACZeXNE\nXAzcDKwFjqpNHABHUYZxbkkZxnlF3X42cEFE3EoZxnlYTWt5RHwQuLYed3JrqKgkSdp4XQ0gMvPw\nQXbtP8jxpwKnDrD9OmD3Abb/nhqADLDvHMowUkmS1GHORClJkhozgJAkSY0ZQEiSpMYMICRJUmMG\nEJIkqTEDCEmS1NhoTCQlaZStWbOGRYsWAGUGyU5MArVw4YKNTkPS+GEAIfWgRYsWcMzHLmPK9Fkd\nS3PZ4lvYZofndCw9SWObAYTUo6ZMn8XUrTu3SO2DK5cOf5CkCcM+EJIkqTEDCEmS1JgBhCRJaswA\nQpIkNWYAIUmSGjOAkCRJjTmMU1JPaZ9ECzo3kRbAnDk7MXny5I6kJY11BhCSeko3JtECeHDlPZxx\n7Dx22WVuR9OVxioDCEk9p9OTaEm9yD4QkiSpMQMISZLUmAGEJElqzABCkiQ1ZgAhSZIaM4CQJEmN\nGUBIkqTGDCAkSVJjBhCSJKkxAwhJktSYAYQkSWrMAEKSJDVmACFJkhpzNU513Jo1a1i0aEFH01y4\nsLPpSZI2jgGEOm7RogUc87HLmDJ9VsfSXLb4FrbZ4TkdS0+StHEMINQVU6bPYurWszuW3oMrl3Ys\nLUnSxrMPhCRJaswAQpIkNWYTxjjSjc6JAHPm7NTxNCVJE5sBxDjSjc6JD668hzOOncfs2dt0LE1J\n0sRnADHOdLpzoiRJG8I+EJIkqTEDCEmS1JgBhCRJaswAQpIkNWYAIUmSGjOAkCRJjRlASJKkxgwg\nJElSYwYQkiSpMQMISZLUmAGEJElqzABCkiQ1ZgAhSZIaM4CQJEmNGUBIkqTGDCAkSVJjBhCSJKkx\nAwhJktSYAYQkSWps89H6xxFxB3A/8CjwSGbuHREzgC8DOwF3AIdk5n31+OOAN9fjj87MK+v25wHn\nAk8BLs/MY+r2LYDzgb2AZcChmblgExVPkqQJbTRrIPqA/TJzz8zcu257L3BVZj4L+H79m4jYFTgU\n2BU4EDgrIibVcz4LHJmZc4G5EXFg3X4ksKxu/yRw2qYolCRJvWC0mzAm9ft7HnBefXwe8Jr6+CDg\nosx8JDPvAG4D9omI7YBpmXlNPe78tnPa07oEeGnnsy9JUm8a7RqI70XELyLib+u2bTNzaX28FNi2\nPt4eWNx27mJg9gDbl9Tt1N+LADJzLbCyNpFIkqSNNJoBxAszc0/gFcDbIuJF7Tszs48SZEiSpDFm\n1DpRZuZd9fe9EfF1YG9gaUQ8IzPvrs0T99TDlwBz2k7fgVLzsKQ+7r+9dc6OwJ0RsTkwPTOXD5Wn\nmTOnbWSpumvFiqldSXfGjJJup8rfrXx2w3go+2OPrmXlyns7mvbKlfd2LK1umzFjakc/m918f3Y6\nr5vKeMxzJ/V6+TfUqAQQETEFeFJmroqIpwIvB04GLgPmUzo8zgcuradcBlwYEadTmibmAtdkZl9E\n3B8R+wDXAEcAZ7adMx/4GXA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+ "text": [ + "" + ] + } + ], + "prompt_number": 344 + }, + { + "cell_type": "heading", + "level": 1, + "metadata": {}, + "source": [ + "Fourth Simulation: Player Holds at 20" + ] + }, + { + "cell_type": "code", + "collapsed": false, + "input": [ + "player = HoldsAt20()\n", + "game = Game(player)\n", + "sim = Simulation(game)" + ], + "language": "python", + "metadata": {}, + "outputs": [], + "prompt_number": 345 + }, + { + "cell_type": "code", + "collapsed": false, + "input": [ + "sim_4_data = sim.run_simulation(1000000)" + ], + "language": "python", + "metadata": {}, + "outputs": [], + "prompt_number": 346 + }, + { + "cell_type": "code", + "collapsed": false, + "input": [ + "holds_20_mean, holds_20_stdev = get_mean_stdev(sim_4_data)" + ], + "language": "python", + "metadata": {}, + "outputs": [], + "prompt_number": 347 + }, + { + "cell_type": "code", + "collapsed": false, + "input": [ + "plot_histogram(sim_4_data, \"Pig Player Holds at 20\", \"Score\", \"Games\", 20, holds_20_mean, holds_20_stdev)" + ], + "language": "python", + "metadata": {}, + "outputs": [ + { + "metadata": {}, + "output_type": "display_data", + "png": 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T7lQeZdBFn5kvosyZcAJwaVsTxg8py2FPp3yJHUq5y28/dw5lLYR9gU/UC301UdZj+Njg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\nJEnSOhrLAOJlmfli4DXAeyL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+ "text": [ + "" + ] + } + ], + "prompt_number": 348 + }, + { + "cell_type": "heading", + "level": 1, + "metadata": {}, + "source": [ + "Fifth Simulation: Player Only Rolls Twice" + ] + }, + { + "cell_type": "code", + "collapsed": false, + "input": [ + "player = TwoRoller()\n", + "game = Game(player)\n", + "sim = Simulation(game)" + ], + "language": "python", + "metadata": {}, + "outputs": [], + "prompt_number": 349 + }, + { + "cell_type": "code", + "collapsed": false, + "input": [ + "sim_5_data = sim.run_simulation(1000000)" + ], + "language": "python", + "metadata": {}, + "outputs": [], + "prompt_number": 350 + }, + { + "cell_type": "code", + "collapsed": false, + "input": [ + "two_roller_mean, two_roller_stdev = get_mean_stdev(sim_5_data)" + ], + "language": "python", + "metadata": {}, + "outputs": [], + "prompt_number": 351 + }, + { + "cell_type": "code", + "collapsed": false, + "input": [ + "plot_histogram(sim_5_data, \"Two Roller Strategy\", \"Score\", \"Games\", 20, two_roller_mean, two_roller_stdev)" + ], + "language": "python", + "metadata": {}, + "outputs": [ + { + "metadata": {}, + "output_type": "display_data", + "png": 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fDWwdEbcC7wSOr3n1AB8Gfk4JMk5udYCUJEkbp5OjJI5s2P5nfe6fApzSz343\nAHv1k/5H4LAB8j6XMqxTkiQNAxefkiRJjQwYJElSIwMGSZLUyIBBkiQ1MmCQJEmNDBgkSVIjAwZJ\nktTIgEGSJDUyYJAkSY0MGCRJUiMDBkmS1MiAQZIkNTJgkCRJjQwYJElSIwMGSZLUyIBBkiQ1MmCQ\nJEmNDBgkSVIjAwZJktTIgEGSJDUyYJAkSY0MGCRJUiMDBkmS1GiT0T4BScNj9erVLFy4YNjzvfPO\n4c9T0vhjwCB1iYULF3Dc6VcwZfq2w5rvskU3s/WOuw9rnpLGHwMGqYtMmb4tU7faYVjzXLViybDm\nNxIeXbumYzUjs2btzOTJkzuStzSWGTBI6joPr1zGJy7uYcr0u4c131Ur7uVT7z6YXXedPaz5SuOB\nAYOkrtSJ2hZpInOUhCRJamTAIEmSGhkwSJKkRgYMkiSpkQGDJElq1LFREhFxDvAK4N7M3KumnQ68\nElgN/A54c2auqNtOAI4G1gLHZubVNX0f4Dxgc+DKzDyupm8GzAP2BpYBh2fmgrptDvD+eiofycx5\nnSqnJEkTQSdrGM4FDuqTdjWwZ2Y+E7gFOAEgIvYADgf2qMecFRGT6jGfBY7JzNnA7Iho5XkMsKym\nfxI4reY1AzgR2Lf+nRQRT+5MESVJmhg6FjBk5o+A5X3SrsnMR+vdnwE71tuHABdl5iOZeQdwG7Bf\nRDwVmJaZ8+t+84BX19sHA+fX25cBL663XwpcnZn3Z+b9wDU8NnCRJElDMJp9GI4Grqy3twcWtW1b\nBOzQT/rimk79vxAgM9cAKyJi6w3kJUmSNtKoBAwR8X5gdWZeOBqPL0mShmbEp4aOiDcBL2ddEwKU\nmoNZbfd3pNQMLGZds0V7euuYnYC7ImITYHpmLouIxcABbcfMAr47mHObOXPaoMsx3nRz2cDyASxf\nPnUEzkQzZkwd8vutm9+f3Vw26P7yDcWIBgy1w+K7gf0z8+G2TVcAF0bEGZTmg9nA/MzsjYgHImI/\nYD5wFPDptmPmANcBhwLX1vSrgVNqR8dJwEuA9w7m/JYuffDxFG/MmjlzWteWDSxfS0/PyhE4G/X0\nrBzS+62b35/dXDaYGOUbik4Oq7wI2B/YJiIWAidRRkVMBq6JCICfZubczLwpIi4BbgLWAHMzs7dm\nNZcyrHILyrDKq2r62cAFEXErZVjlEQCZ2RMRHwZ+Xvc7uXZ+lCRJG6ljAUNmHtlP8jkb2P8U4JR+\n0m8A9uqVl+zWAAAb+0lEQVQn/Y/AYQPkdS5lWKckSRoGzvQoSZIaGTBIkqRGBgySJKmRAYMkSWpk\nwCBJkhoZMEiSpEYGDJIkqZEBgyRJamTAIEmSGhkwSJKkRgYMkiSpkQGDJElqZMAgSZIaGTBIkqRG\nBgySJKmRAYMkSWpkwCBJkhoZMEiSpEYGDJIkqZEBgyRJamTAIEmSGhkwSJKkRgYMkiSpkQGDJElq\nZMAgSZIaGTBIkqRGBgySJKmRAYMkSWpkwCBJkhoZMEiSpEYGDJIkqZEBgyRJamTAIEmSGm3SqYwj\n4hzgFcC9mblXTZsBXAzsDNwBHJaZ99dtJwBHA2uBYzPz6pq+D3AesDlwZWYeV9M3A+YBewPLgMMz\nc0HdNgd4fz2Vj2TmvE6VU5KkiaCTNQznAgf1STseuCYzdwOurfeJiD2Aw4E96jFnRcSkesxngWMy\nczYwOyJaeR4DLKvpnwROq3nNAE4E9q1/J0XEkztTREmSJoaOBQyZ+SNgeZ/kg4Hz6+3zgVfX24cA\nF2XmI5l5B3AbsF9EPBWYlpnz637z2o5pz+sy4MX19kuBqzPz/lp7cQ2PDVwkSdIQjHQfhu0yc0m9\nvQTYrt7eHljUtt8iYId+0hfXdOr/hQCZuQZYERFbbyAvSZK0kUat02Nm9gK9o/X4kiRp8DrW6XEA\nSyLiKZl5T21uuLemLwZmte23I6VmYHG93Te9dcxOwF0RsQkwPTOXRcRi4IC2Y2YB3x3Myc2cOW2I\nxRk/urlsYPkAli+fOgJnohkzpg75/dbN789uLht0f/mGYqQDhiuAOZQOinOAr7alXxgRZ1CaD2YD\n8zOzNyIeiIj9gPnAUcCn++R1HXAopRMlwNXAKbWj4yTgJcB7B3NyS5c++PhKN0bNnDmta8sGlq+l\np2flCJyNenpWDun91s3vz24uG0yM8g1FJ4dVXgTsD2wTEQspIxc+BlwSEcdQh1UCZOZNEXEJcBOw\nBphbmywA5lKGVW5BGVZ5VU0/G7ggIm6lDKs8oubVExEfBn5e9zu5NXRTkiRtnI4FDJl55ACbDhxg\n/1OAU/pJvwHYq5/0P1IDjn62nUsZ1ilJkoaBMz1KkqRGI92HQZrwVq9ezcKFCwa9//LlUwfVP+HO\nOwefpzbOo2vXDPl5HuzrBzBr1s5Mnjx5Y05N6jgDBmmELVy4gONOv4Ip07cd1nyXLbqZrXfcfVjz\n1PoeXrmMT1zcw5Tpdw973qtW3Mun3n0wu+46e9jzloaDAYM0CqZM35apWw3vfGKrVixp3kmPWyde\nO2k8sA+DJElqZMAgSZIaGTBIkqRGBgySJKmRAYMkSWpkwCBJkhoZMEiSpEYGDJIkqZEBgyRJamTA\nIEmSGhkwSJKkRgYMkiSpkQGDJElqZMAgSZIaGTBIkqRGBgySJKmRAYMkSWo05IAhIp7UiRORJElj\n1yZNO0TEq4DnAx8G5gPbRsRJmfmZTp+cJEkaGwZTw3AScA5wOCVg2Bl4cydPSpIkjS2DapLIzN8C\nrwC+npkrgU07elaSJGlMGUzAsCQiPgP8JXBVRHwCuLOzpyVJksaSwQQMR1KaIg6otQu31jRJkjRB\nNAYMmfkAsBZ4c0RMBR7KzAc7fmaSJGnMaAwYIuI04GXAayl9F94UEWd0+sQkSdLYMZgmiZcCbwQe\nzszlwEsoAYQkSZogBhMwrO1zf7N+0iRJUhcbTMBwKfAlYEZEvAv4EXBRR89KkiSNKY0zPWbmxyLi\nIMpQylnAiZn5jY6fmSRJGjMaA4bqLuDrrTsR8YLM/OHGPmhEnAC8AXgU+DVl5sgtgYspM0neARyW\nmfe37X80pSnk2My8uqbvA5wHbA5cmZnH1fTNgHnA3sAy4PDMXLCx5ytJ0kQ3mFESXwK+DHyo7e/k\njX3AiHga8BZg78zcC3gicARwPHBNZu4GXFvvExF7UKal3gM4CDgrIibV7D4LHJOZs4HZtSYE4Bhg\nWU3/JHDaxp6vJEkaXA3DM4HdM3O4Ojo+ADwCTImItcAUSg3GCcD+dZ/zge9TgoZDgIsy8xHgjoi4\nDdgvIhYA0zJzfj1mHvBq4CrgYMoaGACXAS6UJUnS4zCYTo8/A2YP1wNmZg/Qml76LuD+zLwG2C4z\nl9TdlgDb1dvbA4vaslgE7NBP+uKaTv2/sD7eGmBFRMwYrjJIkjTRDKaG4bvA/0bE3cCamtabmX+2\nMQ8YEbsC7wSeBqwALo2IN7Tvk5m9EdG7Mfk/HjNnThvphxwx3Vw2GF/lW7586mifgsaoGTOmjqv3\nMoyvz97G6PbyDcVgAoaPAC9i+Baceg7wk8xcBhARXwGeB9wTEU/JzHsi4qnAvXX/xZTRGS07UmoW\nFtfbfdNbx+wE3BURmwDTa83GBi1d2p0zXs+cOa1rywbjr3w9PStH+xQ0RvX0rBxX7+Xx9tkbqolQ\nvqEYTMBwL/DjzHx0o87osX4LfDAitgAeBg6kLG71B2AOpYPiHOCrdf8rgAvrdNQ7UJpH5tdaiAci\nYr96/FHAp9uOmQNcBxxK6UQpSZI20mAChl8BP42IayidFaE0SfzrxjxgZt4YEfOA6ynDKv8H+Bww\nDbgkIo6hDqus+98UEZcAN1GaROZmZqu5Yi5lWOUWlGGVV9X0s4ELIuJWyrDKIzbmXCVJUjGYgOFO\n1jVHTNrQjoOVmR8HPt4nuYdS29Df/qcAp/STfgOwVz/pf6QGHJIk6fEbzEyPH2q/HxFPAHbp1AlJ\nkqSxpzFgiIh3AB+lzMTYqmG4Gdizg+clSZLGkMHMw/DPwLOAS4A/o0zR/PUNHiFJkrrKYAKGezPz\n98CNwF6ZeR7w/I6elSRJGlMGEzD8ISJeSFkk6uA6R8JTOntakiRpLBlMwPAOytoM3wJmUPovuDaD\nJEkTyAYDhoiYC8zOzHdRJkHaG7gP+zBIkjShDBgwRMQJwGspEyYBbA4cAJxJWVlSkiRNEBuqYZgD\nvCYzs95fm5kLgM9S1n6QJEkTxIYChrWZ2b7qxkcBMnMt8MeOnpUkSRpTNhQwTIqIJ7XuZOaXASJi\nOjDiS09LkqTRs6GA4YvA+TVAACAipgHn1m2SJGmC2NDU0KcBZwF3RcRNlFqFPYALgDNG4NwkSdIY\nMWDAkJlrgLdGxL8C+9bkG2rHR0mSNIEMZrXKRcCiETgXSZI0Rg1mpkdJkjTBGTBIkqRGBgySJKlR\nYx8GaSJavXo1Cxd2pn/vnXfab1jS+GPAIPVj4cIFHHf6FUyZvu2w571s0c1svePuw56vJHWSAYM0\ngCnTt2XqVjsMe76rViwZ9jwlqdPswyBJkhoZMEiSpEYGDJIkqZEBgyRJamTAIEmSGhkwSJKkRg6r\nlKQx4NG1azo2qdesWTszefLkjuSticOAQZLGgIdXLuMTF/cwZfrdw5rvqhX38ql3H8yuu84e1nw1\n8RgwSNIY0anJwqThYB8GSZLUyIBBkiQ1GpUmiYh4MvB5YE+gF3gzcCtwMbAzcAdwWGbeX/c/ATga\nWAscm5lX1/R9gPOAzYErM/O4mr4ZMA/YG1gGHJ6ZLhEoSdJGGq0ahk9RfuB3B54B/BY4HrgmM3cD\nrq33iYg9gMOBPYCDgLMiYlL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+ "text": [ + "" + ] + } + ], + "prompt_number": 352 + }, + { + "cell_type": "heading", + "level": 1, + "metadata": {}, + "source": [ + "Sixth Simulation: Player Only Rolls Thrice" + ] + }, + { + "cell_type": "code", + "collapsed": false, + "input": [ + "player = ThreeRoller()\n", + "game = Game(player)\n", + "sim = Simulation(game)" + ], + "language": "python", + "metadata": {}, + "outputs": [], + "prompt_number": 353 + }, + { + "cell_type": "code", + "collapsed": false, + "input": [ + "sim_6_data = sim.run_simulation(1000000)" + ], + "language": "python", + "metadata": {}, + "outputs": [], + "prompt_number": 354 + }, + { + "cell_type": "code", + "collapsed": false, + "input": [ + "three_roller_mean, three_roller_stdev = get_mean_stdev(sim_6_data)" + ], + "language": "python", + "metadata": {}, + "outputs": [], + "prompt_number": 355 + }, + { + "cell_type": "code", + "collapsed": false, + "input": [ + "plot_histogram(sim_6_data, \"Three Roller Strategy\", \"Score\", \"Games\", 20, three_roller_mean, three_roller_stdev)" + ], + "language": "python", + "metadata": {}, + "outputs": [ + { + "metadata": {}, + "output_type": "display_data", + "png": 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f5PMHWX8eMK+f9BuBA/pJfwh43QB5XUB5VFTquk4ehVy5clKjFgAHTJI0mjjC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\nkCRJjYwf7gJI0kjzyLq1LFy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Cmtaa+W93yi2RvYZ4XyQNwuBBUldk5veADwH/GRG3ALdQ\nAoGTgKOAiyPil8CTgY8B/w4sBn5JmXb6a5n5tZpd+/3UDwLbR8SvgOuBd9vfQRpe9nmQJEmN2PIg\nSZIaMXiQJEmNGDxIkqRGDB4kSVIjBg+SJKkRgwdJktSIwYMkSWrE4EGSJDXy/wH+4QHxZbbImAAA\nAABJRU5ErkJggg==\n", + "text": [ + "" + ] + } + ], + "prompt_number": 356 + }, + { + "cell_type": "heading", + "level": 1, + "metadata": {}, + "source": [ + "Seventh Simulation: Player Rolls Four Times" + ] + }, + { + "cell_type": "code", + "collapsed": false, + "input": [ + "player = FourRoller()\n", + "game = Game(player)\n", + "sim = Simulation(game)" + ], + "language": "python", + "metadata": {}, + "outputs": [], + "prompt_number": 357 + }, + { + "cell_type": "code", + "collapsed": false, + "input": [ + "sim_7_data = sim.run_simulation(1000000)" + ], + "language": "python", + "metadata": {}, + "outputs": [], + "prompt_number": 358 + }, + { + "cell_type": "code", + "collapsed": false, + "input": [ + "four_roller_mean, four_roller_stdev = get_mean_stdev(sim_7_data)" + ], + "language": "python", + "metadata": {}, + "outputs": [], + "prompt_number": 359 + }, + { + "cell_type": "code", + "collapsed": false, + "input": [ + "plot_histogram(sim_7_data, \"Four Roller Strategy\", \"Score\", \"Games\", 20, four_roller_mean, four_roller_stdev)" + ], + "language": "python", + "metadata": {}, + "outputs": [ + { + "metadata": {}, + "output_type": "display_data", + "png": 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SJDVi8CBJkhoxeJAkSY0YPEiSpEYMHiRJUiMGD5IkqRGDB0mS1MjE4S6Axr41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\nnnsycCywDjg+M6+u6QcA5wP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+ "text": [ + "" + ] + } + ], + "prompt_number": 360 + }, + { + "cell_type": "heading", + "level": 1, + "metadata": {}, + "source": [ + "Eighth Simulation: Player Holds at 25" + ] + }, + { + "cell_type": "code", + "collapsed": false, + "input": [ + "player = HoldsAt25()\n", + "game = Game(player)\n", + "sim = Simulation(game)" + ], + "language": "python", + "metadata": {}, + "outputs": [], + "prompt_number": 361 + }, + { + "cell_type": "code", + "collapsed": false, + "input": [ + "sim_8_data = sim.run_simulation(1000000)" + ], + "language": "python", + "metadata": {}, + "outputs": [], + "prompt_number": 362 + }, + { + "cell_type": "code", + "collapsed": false, + "input": [ + "holds_25_mean, holds_25_stdev = get_mean_stdev(sim_8_data)" + ], + "language": "python", + "metadata": {}, + "outputs": [], + "prompt_number": 363 + }, + { + "cell_type": "code", + "collapsed": false, + "input": [ + "plot_histogram(sim_8_data, \"Hold at 25 Strategy\", \"Score\", \"Games\", 20, holds_25_mean, holds_25_stdev)" + ], + "language": "python", + "metadata": {}, + "outputs": [ + { + "metadata": {}, + "output_type": "display_data", + "png": 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JktSYAYQkSWrMAEKSJDVmACFJkhozgJAkSY0ZQEiSpMYMICRJUmMGEJIkqTED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\ngekR0crzRGBZTf8UcH7Nawp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+ "text": [ + "" + ] + } + ], + "prompt_number": 364 + }, + { + "cell_type": "heading", + "level": 1, + "metadata": {}, + "source": [ + "Ninth Simulation: Player Rolls Seven Times" + ] + }, + { + "cell_type": "code", + "collapsed": false, + "input": [ + "player = LuckyRoller()\n", + "game = Game(player)\n", + "sim = Simulation(game)" + ], + "language": "python", + "metadata": {}, + "outputs": [], + "prompt_number": 365 + }, + { + "cell_type": "code", + "collapsed": false, + "input": [ + "sim_9_data = sim.run_simulation(1000000)" + ], + "language": "python", + "metadata": {}, + "outputs": [], + "prompt_number": 366 + }, + { + "cell_type": "code", + "collapsed": false, + "input": [ + "lucky_roller_mean, lucky_roller_stdev = get_mean_stdev(sim_9_data)" + ], + "language": "python", + "metadata": {}, + "outputs": [], + "prompt_number": 367 + }, + { + "cell_type": "code", + "collapsed": false, + "input": [ + "plot_histogram(sim_9_data, \"The Lucky Roller\", \"Score\", \"Games\", 20, lucky_roller_mean, lucky_roller_stdev)" + ], + "language": "python", + "metadata": {}, + "outputs": [ + { + "metadata": {}, + "output_type": "display_data", + "png": 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ThroYkqQB2AZCkiQ1ZgAhSZIaM4CQJEmNGUBIkqTGDCAkSVJjBhCSJKkxAwhJ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\nkqTGDCAkSVJjBhCSJKkxAwh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+ "text": [ + "" + ] + } + ], + "prompt_number": 368 + }, + { + "cell_type": "heading", + "level": 1, + "metadata": {}, + "source": [ + "Tenth Simulation: Player Tries to Roll 10 Times" + ] + }, + { + "cell_type": "code", + "collapsed": false, + "input": [ + "player = CrazyRoller()\n", + "game = Game(player)\n", + "sim = Simulation(game)" + ], + "language": "python", + "metadata": {}, + "outputs": [], + "prompt_number": 369 + }, + { + "cell_type": "code", + "collapsed": false, + "input": [ + "sim_10_data = sim.run_simulation(1000000)" + ], + "language": "python", + "metadata": {}, + "outputs": [], + "prompt_number": 370 + }, + { + "cell_type": "code", + "collapsed": false, + "input": [ + "crazy_roller_mean, crazy_roller_stdev = get_mean_stdev(sim_10_data)" + ], + "language": "python", + "metadata": {}, + "outputs": [], + "prompt_number": 371 + }, + { + "cell_type": "code", + "collapsed": false, + "input": [ + "plot_histogram(sim_10_data, \"The Crazy Roller\", \"Score\", \"Games\", 20, crazy_roller_mean, crazy_roller_stdev)" + ], + "language": "python", + "metadata": {}, + "outputs": [ + { + "metadata": {}, + "output_type": "display_data", + "png": 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3ATt2mP448KYh0joXOLfb7ZUkSd2zJ0pJktSYAYQkSWrMAEKSJDVmACFJkhoz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\n", + "text": [ + "" + ] + } + ], + "prompt_number": 372 + } + ], + "metadata": {} + } + ] +} \ No newline at end of file diff --git a/requirements.txt b/requirements.txt new file mode 100644 index 0000000..60e753d --- /dev/null +++ b/requirements.txt @@ -0,0 +1,3 @@ +ipython[all] +matplotlib +seaborn