diff --git a/Some Pig Notebook.ipynb b/Some Pig Notebook.ipynb new file mode 100644 index 0000000..2f3bdf3 --- /dev/null +++ b/Some Pig Notebook.ipynb @@ -0,0 +1,851 @@ +{ + "metadata": { + "name": "", + "signature": "sha256:60a8c821ac3577c28005b7a651011055a06d902b3e56afb1542907705af14bef" + }, + "nbformat": 3, + "nbformat_minor": 0, + "worksheets": [ + { + "cells": [ + { + "cell_type": "code", + "collapsed": false, + "input": [ + "import random\n", + "import math\n", + "import statistics as st\n", + "import matplotlib.pyplot as plt\n", + "import seaborn\n", + "\n", + "\n", + "def die_6():\n", + " \"\"\"Returns a value between 1 and 6.\"\"\"\n", + " return random.randint(1, 6)" + ], + "language": "python", + "metadata": {}, + "outputs": [], + "prompt_number": 14 + }, + { + "cell_type": "code", + "collapsed": false, + "input": [ + "%matplotlib inline" + ], + "language": "python", + "metadata": {}, + "outputs": [], + "prompt_number": 15 + }, + { + "cell_type": "code", + "collapsed": false, + "input": [ + "class Player:\n", + " \"\"\"A player for the game of Pig Solitaire\n", + " \n", + " Responsibilities:\n", + " * Has a Score\n", + " * Has a method to roll the die and evaluate the result\n", + " \"\"\"\n", + " \n", + " def __init__(self):\n", + " self.score = 0\n", + " self.turn_count = 0\n", + " self.turn_score = 0\n", + " \n", + " def roll_or_stand(self, turn_count, turn_score):\n", + " \"\"\"Contains the logic for the given player.\"\"\"\n", + " return False\n", + " \n", + " \n", + " \n", + " \n", + " " + ], + "language": "python", + "metadata": {}, + "outputs": [], + "prompt_number": 16 + }, + { + "cell_type": "code", + "collapsed": false, + "input": [ + "class Game:\n", + " \"\"\"Contains the game flow for Pig Solitaire\n", + " \n", + " Responsibilities:\n", + " * Has a player\n", + " * Has a running score for the round and a turn counter\n", + " * Contains an iterate method \n", + " * Has method for handling a roll of 1\n", + " \n", + " Collaborators:\n", + " + Takes a player\n", + " \"\"\"\n", + " \n", + " def __init__(self, player):\n", + " self.player = player\n", + " self.player_turns = 7\n", + " self.running_score = 0\n", + " self.player_turn_score = 0\n", + " \n", + " def roll(self):\n", + " roll = die_6()\n", + " return roll\n", + " \n", + " def turn(self):\n", + " self.player.turn_count += 1\n", + " current_roll = self.roll()\n", + " if current_roll == 1:\n", + " self.player_turn_score = 0\n", + " self.running_score = 0\n", + " self.player_turns -= 1\n", + " return self.running_score\n", + " else:\n", + " self.running_score += current_roll\n", + " self.player_turn_score += current_roll\n", + " if self.player.roll_or_stand(self.player.turn_count, self.player_turn_score):\n", + " self.turn()\n", + " else:\n", + " self.player_turn_score = 0\n", + " self.player_turns -= 1\n", + " return self.running_score\n", + " \n", + " \n", + " def full_game(self):\n", + " while self.player_turns > 0:\n", + " self.turn()\n", + " self.player.score += self.running_score\n", + " self.player.turn_count = 0\n", + " self.player_turn_score = 0\n", + " self.running_score = 0\n", + " return self.player.score\n", + " \n", + " \n", + " \n", + " \n", + " " + ], + "language": "python", + "metadata": {}, + "outputs": [], + "prompt_number": 35 + }, + { + "cell_type": "heading", + "level": 1, + "metadata": {}, + "source": [ + "Normal Player" + ] + }, + { + "cell_type": "code", + "collapsed": false, + "input": [ + "def game_iterate(trials=1000):\n", + " score_results = []\n", + " for _ in range(trials):\n", + " game = Game(Player())\n", + " score_results.append(game.full_game())\n", + " return score_results\n", + "\n", + " \n", + " " + ], + "language": "python", + "metadata": {}, + "outputs": [], + "prompt_number": 102 + }, + { + "cell_type": "code", + "collapsed": false, + "input": [ + "normal_player_results = game_iterate()\n", + "normal_mean = st.mean(normal_player_results)\n", + "normal_stdev = st.stdev(normal_player_results)\n" + ], + "language": "python", + "metadata": {}, + "outputs": [], + "prompt_number": 105 + }, + { + "cell_type": "code", + "collapsed": false, + "input": [ + "plt.hist(normal_player_results, bins=20, color='green')\n", + "plt.xlabel(\"Score\")\n", + "plt.ylabel(\"Count\")\n", + "ymin, ymax = plt.ylim()\n", + "plt.vlines(normal_mean, ymin, ymax, color='black')\n", + "plt.vlines([normal_mean - 1 * normal_stdev, normal_mean - normal_stdev, normal_mean + normal_stdev, \n", + " normal_mean + 1 * normal_stdev], ymin, ymax, linestyles=\"dashed\", color='black')\n", + "plt.title(\"Normal Player Total Scores\\n Mean: {} \\nStandard Deviation: {} \".format(normal_mean, normal_stdev))\n", + "plt.show()" + ], + "language": "python", + "metadata": {}, + "outputs": [ + { + "metadata": {}, + "output_type": "display_data", + "png": 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+ "text": [ + "" + ] + } + ], + "prompt_number": 106 + }, + { + "cell_type": "heading", + "level": 1, + "metadata": {}, + "source": [ + "Player Holds at 5 Turns" + ] + }, + { + "cell_type": "code", + "collapsed": false, + "input": [ + "class Hold_at_5(Player):\n", + " def roll_or_stand(self, turn_count, turn_score):\n", + " \"\"\"Contains the logic for the given player.\"\"\"\n", + " if turn_count == 5:\n", + " return False\n", + " else:\n", + " return True\n", + " " + ], + "language": "python", + "metadata": {}, + "outputs": [], + "prompt_number": 107 + }, + { + "cell_type": "code", + "collapsed": false, + "input": [ + "def game_iterate_5(player, trials=1000):\n", + " score_results = []\n", + " for _ in range(trials):\n", + " player = player\n", + " game = Game(Hold_at_5())\n", + " score_results.append(game.full_game())\n", + " return score_results\n", + "\n" + ], + "language": "python", + "metadata": {}, + "outputs": [], + "prompt_number": 108 + }, + { + "cell_type": "code", + "collapsed": false, + "input": [ + "hold_5_results = game_iterate_5(Hold_at_5())\n", + "hold_5_mean = st.mean(hold_5_results)\n", + "hold_5_stdev = st.stdev(hold_5_results)\n", + "\n" + ], + "language": "python", + "metadata": {}, + "outputs": [], + "prompt_number": 109 + }, + { + "cell_type": "code", + "collapsed": false, + "input": [ + "plt.hist(hold_5_results, bins=20, color='green')\n", + "plt.xlabel(\"Score\")\n", + "plt.ylabel(\"Count\")\n", + "ymin, ymax = plt.ylim()\n", + "plt.vlines(hold_5_mean, ymin, ymax, color='black')\n", + "plt.vlines([hold_5_mean - 1 * hold_5_stdev, hold_5_mean - hold_5_stdev, hold_5_mean + hold_5_stdev, \n", + " hold_5_mean + 1 * hold_5_stdev], ymin, ymax, linestyles=\"dashed\", color='black')\n", + "plt.title(\"Player Holds at 5 Turns Total Scores\\n Mean: {} \\nStandard Deviation: {} \".format(hold_5_mean, hold_5_stdev))\n", + "plt.show()" + ], + "language": "python", + "metadata": {}, + "outputs": [ + { + "metadata": {}, + "output_type": "display_data", + "png": 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M71RLS3NvhFh19Y6ztXVwj5YfOnRwTfahX7/41ShsKy9xZ6n3cS9XHuLMQ4yQ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\nmpYoLRHnT4mT7o7AFOAEM1u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+ "text": [ + "" + ] + } + ], + "prompt_number": 110 + }, + { + "cell_type": "heading", + "level": 1, + "metadata": {}, + "source": [ + "Player Holds at 15 Turns" + ] + }, + { + "cell_type": "code", + "collapsed": false, + "input": [ + "class Hold_at_15(Player):\n", + " def roll_or_stand(self, turn_count, turn_score):\n", + " \"\"\"Contains the logic for the given player.\"\"\"\n", + " if turn_count == 15:\n", + " return False\n", + " else:\n", + " return True\n", + " " + ], + "language": "python", + "metadata": {}, + "outputs": [], + "prompt_number": 43 + }, + { + "cell_type": "code", + "collapsed": false, + "input": [ + "def game_iterate_15(trials=1000):\n", + " score_results = []\n", + " for _ in range(trials):\n", + " game = Game(Hold_at_15())\n", + " score_results.append(game.full_game())\n", + " return score_results\n", + "\n", + "\n" + ], + "language": "python", + "metadata": {}, + "outputs": [], + "prompt_number": 44 + }, + { + "cell_type": "code", + "collapsed": false, + "input": [ + "hold_15_results = game_iterate_15()\n", + "hold_15_mean = st.mean(hold_15_results)\n", + "hold_15_stdev = st.stdev(hold_15_results)\n", + "\n" + ], + "language": "python", + "metadata": {}, + "outputs": [], + "prompt_number": 111 + }, + { + "cell_type": "code", + "collapsed": false, + "input": [ + "plt.hist(hold_15_results, bins=20, color='green')\n", + "plt.xlabel(\"Score\")\n", + "plt.ylabel(\"Count\")\n", + "ymin, ymax = plt.ylim()\n", + "plt.vlines(hold_15_mean, ymin, ymax, color='black')\n", + "plt.vlines([hold_15_mean - 1 * hold_15_stdev, hold_15_mean - hold_15_stdev, hold_15_mean + hold_15_stdev, \n", + " hold_15_mean + 1 * hold_15_stdev], ymin, ymax, linestyles=\"dashed\", color='black')\n", + "plt.title(\"Player Holds at 15 Turns Total Scores\\n Mean: {} \\nStandard Deviation: {} \".format(hold_15_mean, hold_15_stdev))\n", + "plt.show()" + ], + "language": "python", + "metadata": {}, + "outputs": [ + { + "metadata": {}, + "output_type": "display_data", + "png": 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3u81sTeJkNISotSy9JaaZfYO4xWU/4kR7prv/2swOAb6ZyjcX2JWY/LUzkQrjv8BbHdlA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\nR6bHe5rZGsAxwHB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+ "text": [ + "" + ] + } + ], + "prompt_number": 112 + }, + { + "cell_type": "heading", + "level": 1, + "metadata": {}, + "source": [ + "Player Holds at a Score of 10" + ] + }, + { + "cell_type": "code", + "collapsed": false, + "input": [ + "class Hold_at_score_10(Player):\n", + " def roll_or_stand(self, turn_count, turn_score):\n", + " \"\"\"Contains the logic for the given player.\"\"\"\n", + " if turn_score >= 10:\n", + " return False\n", + " else:\n", + " return True\n", + " \n", + " " + ], + "language": "python", + "metadata": {}, + "outputs": [], + "prompt_number": 113 + }, + { + "cell_type": "code", + "collapsed": false, + "input": [ + "def game_iterate_10_score(trials=1000):\n", + " score_results = []\n", + " for _ in range(trials):\n", + " game = Game(Hold_at_score_10())\n", + " score_results.append(game.full_game())\n", + " return score_results\n" + ], + "language": "python", + "metadata": {}, + "outputs": [], + "prompt_number": 114 + }, + { + "cell_type": "code", + "collapsed": false, + "input": [ + "score_10_results = game_iterate_10_score()\n", + "score_10_mean = st.mean(score_10_results)\n", + "score_10_stdev = st.stdev(score_10_results)\n", + "\n" + ], + "language": "python", + "metadata": {}, + "outputs": [], + "prompt_number": 115 + }, + { + "cell_type": "code", + "collapsed": false, + "input": [ + "plt.hist(score_10_results, bins=20, color='green')\n", + "plt.xlabel(\"Score\")\n", + "plt.ylabel(\"Count\")\n", + "ymin, ymax = plt.ylim()\n", + "plt.vlines(score_10_mean, ymin, ymax, color='black')\n", + "plt.vlines([score_10_mean - 1 * score_10_stdev, score_10_mean - score_10_stdev, score_10_mean + score_10_stdev, \n", + " score_10_mean + 1 * score_10_stdev], ymin, ymax, linestyles=\"dashed\", color='black')\n", + "plt.title(\"Player Holds at Score of 10\\n Mean: {} \\nStandard Deviation: {} \".format(score_10_mean, score_10_stdev))\n", + "plt.show()" + ], + "language": "python", + "metadata": {}, + "outputs": [ + { + "metadata": {}, + "output_type": "display_data", + "png": 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2UsNTbaWBo9vkYGbbdrBtl+6e5+7TiK6ikqbMvxcDw4H1gYUdbBcRkTrqdMzB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\ntGDOc/d9ia63a8rur0dMLcB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+ "text": [ + "" + ] + } + ], + "prompt_number": 116 + }, + { + "cell_type": "heading", + "level": 1, + "metadata": {}, + "source": [ + "Player Holds at a Score of 20" + ] + }, + { + "cell_type": "code", + "collapsed": false, + "input": [ + "class Hold_at_score_20(Player):\n", + " def roll_or_stand(self, turn_count, turn_score):\n", + " \"\"\"Contains the logic for the given player.\"\"\"\n", + " if turn_score >= 20:\n", + " return False\n", + " else:\n", + " return True\n", + " \n", + " " + ], + "language": "python", + "metadata": {}, + "outputs": [], + "prompt_number": 117 + }, + { + "cell_type": "code", + "collapsed": false, + "input": [ + "def game_iterate_20_score(trials=1000):\n", + " score_results = []\n", + " for _ in range(trials):\n", + " game = Game(Hold_at_score_20())\n", + " score_results.append(game.full_game())\n", + " return score_results\n" + ], + "language": "python", + "metadata": {}, + "outputs": [], + "prompt_number": 118 + }, + { + "cell_type": "code", + "collapsed": false, + "input": [ + "score_20_results = game_iterate_20_score()\n", + "score_20_mean = st.mean(score_20_results)\n", + "score_20_stdev = st.stdev(score_20_results)\n", + "\n" + ], + "language": "python", + "metadata": {}, + "outputs": [], + "prompt_number": 119 + }, + { + "cell_type": "code", + "collapsed": false, + "input": [ + "plt.hist(score_20_results, bins=20, color='green')\n", + "plt.xlabel(\"Score\")\n", + "plt.ylabel(\"Count\")\n", + "ymin, ymax = plt.ylim()\n", + "plt.vlines(score_20_mean, ymin, ymax, color='black')\n", + "plt.vlines([score_20_mean - 1 * score_20_stdev, score_20_mean - score_20_stdev, score_20_mean + score_20_stdev, \n", + " score_20_mean + 1 * score_20_stdev], ymin, ymax, linestyles=\"dashed\", color='black')\n", + "plt.title(\"Player Holds at Score of 20\\n Mean: {} \\nStandard Deviation: {} \".format(score_20_mean, score_20_stdev))\n", + "plt.show()" + ], + "language": "python", + "metadata": {}, + "outputs": [ + { + "metadata": {}, + "output_type": "display_data", + "png": 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kRXEOsD5wFZFYDgPWA75dwbikl1TXRzo5ZbADkHrRk0SxG7Cpu38IYGa3Ay9U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\nlChERCSXEoWIiORSohARkVz/H73Pe/E86yzIAAAAAElFTkSuQmCC\n", + "text": [ + "" + ] + } + ], + "prompt_number": 120 + }, + { + "cell_type": "code", + "collapsed": false, + "input": [ + "class Hold_at_score_30(Player):\n", + " def roll_or_stand(self, turn_count, turn_score):\n", + " \"\"\"Contains the logic for the given player.\"\"\"\n", + " if turn_score >= 30:\n", + " return False\n", + " else:\n", + " return True\n", + " \n", + " " + ], + "language": "python", + "metadata": {}, + "outputs": [], + "prompt_number": 121 + }, + { + "cell_type": "code", + "collapsed": false, + "input": [ + "def game_iterate_30_score(trials=1000):\n", + " score_results = []\n", + " for _ in range(trials):\n", + " game = Game(Hold_at_score_30())\n", + " score_results.append(game.full_game())\n", + " return score_results\n" + ], + "language": "python", + "metadata": {}, + "outputs": [], + "prompt_number": 122 + }, + { + "cell_type": "code", + "collapsed": false, + "input": [ + "score_30_results = game_iterate_30_score()\n", + "score_30_mean = st.mean(score_30_results)\n", + "score_30_stdev = st.stdev(score_30_results)\n", + "\n" + ], + "language": "python", + "metadata": {}, + "outputs": [], + "prompt_number": 123 + }, + { + "cell_type": "code", + "collapsed": false, + "input": [ + "plt.hist(score_30_results, bins=15, color='green')\n", + "plt.xlabel(\"Score\")\n", + "plt.ylabel(\"Count\")\n", + "ymin, ymax = plt.ylim()\n", + "plt.vlines(score_30_mean, ymin, ymax, color='black')\n", + "plt.vlines([score_30_mean - 1 * score_30_stdev, score_30_mean - score_30_stdev, score_30_mean + score_30_stdev, \n", + " score_30_mean + 1 * score_30_stdev], ymin, ymax, linestyles=\"dashed\", color='black')\n", + "plt.title(\"Player Holds at Score of 30\\n Mean: {} \\nStandard Deviation: {} \".format(score_30_mean, score_30_stdev))\n", + "plt.show()" + ], + "language": "python", + "metadata": {}, + "outputs": [ + { + "metadata": {}, + "output_type": "display_data", + "png": 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+ "text": [ + "" + ] + } + ], + "prompt_number": 124 + }, + { + "cell_type": "code", + "collapsed": false, + "input": [ + "class Hold_at_score_50(Player):\n", + " def roll_or_stand(self, turn_count, turn_score):\n", + " \"\"\"Contains the logic for the given player.\"\"\"\n", + " if turn_score >= 50:\n", + " return False\n", + " else:\n", + " return True\n", + " \n", + " " + ], + "language": "python", + "metadata": {}, + "outputs": [], + "prompt_number": 125 + }, + { + "cell_type": "code", + "collapsed": false, + "input": [ + "def game_iterate_50_score(trials=1000):\n", + " score_results = []\n", + " for _ in range(trials):\n", + " game = Game(Hold_at_score_50())\n", + " score_results.append(game.full_game())\n", + " return score_results" + ], + "language": "python", + "metadata": {}, + "outputs": [], + "prompt_number": 129 + }, + { + "cell_type": "code", + "collapsed": false, + "input": [ + "score_50_results = game_iterate_50_score()\n", + "score_50_mean = st.mean(score_50_results)\n", + "score_50_stdev = st.stdev(score_50_results)\n", + "\n" + ], + "language": "python", + "metadata": {}, + "outputs": [], + "prompt_number": 130 + }, + { + "cell_type": "code", + "collapsed": false, + "input": [ + "plt.hist(score_50_results, bins=15, color='green')\n", + "plt.xlabel(\"Score\")\n", + "plt.ylabel(\"Count\")\n", + "ymin, ymax = plt.ylim()\n", + "plt.vlines(score_50_mean, ymin, ymax, color='black')\n", + "plt.vlines([score_50_mean - 1 * score_50_stdev, score_50_mean - score_50_stdev, score_50_mean + score_50_stdev, \n", + " score_50_mean + 1 * score_50_stdev], ymin, ymax, linestyles=\"dashed\", color='black')\n", + "plt.title(\"Player Holds at Score of 50\\n Mean: {} \\nStandard Deviation: {} \".format(score_50_mean, score_50_stdev))\n", + "plt.show()" + ], + "language": "python", + "metadata": {}, + "outputs": [ + { + "metadata": {}, + "output_type": "display_data", + "png": 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NHAvcZmbPA9sC44EbgT8DzwN/AO5193vT5rL9vd8D1k53gHyUuPeA\nxiukqmnMQkREcqllISIiuRQsREQkl4KFiIjkUrAQEZFcChYiIpJLwUJERHIpWIiISK7/D5Olr7rp\neP9YAAAAAElFTkSuQmCC\n", + "text": [ + "" + ] + } + ], + "prompt_number": 131 + }, + { + "cell_type": "heading", + "level": 1, + "metadata": {}, + "source": [ + "Comparisons Between Strategies\n", + "\n" + ] + }, + { + "cell_type": "code", + "collapsed": false, + "input": [ + "plt.boxplot([normal_player_results, hold_5_results, hold_15_results, score_10_results, \n", + " score_20_results, score_30_results, score_50_results])\n", + "ymin, ymax = plt.ylim()\n", + "plt.ylim(ymin, ymax + 50)\n", + "plt.title(\"Pig Solitaire Strategies\")\n", + "plt.ylabel(\"Score\")\n", + "plt.xticks(range(1,9), [\"Normal\", \"5 Turn\", \"15 Turn\", \"Score 10\", \"Score 20\", \n", + " \"Score 30\", \"Score 50\"])\n", + "plt.show()" + ], + "language": "python", + "metadata": {}, + "outputs": [ + { + "metadata": {}, + "output_type": "display_data", + "png": 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+ "text": [ + "" + ] + } + ], + "prompt_number": 142 + }, + { + "cell_type": "heading", + "level": 4, + "metadata": {}, + "source": [ + "From this we can see that the two best strategies are limiting your turns to 5, or holding on a score of 20 or more." + ] + }, + { + "cell_type": "heading", + "level": 2, + "metadata": {}, + "source": [ + "Further Analysis of the Two Highest Yield Strategies" + ] + }, + { + "cell_type": "code", + "collapsed": false, + "input": [ + "def game_iterate_5(trials=100000):\n", + " score_results = []\n", + " for _ in range(trials):\n", + " game = Game(Hold_at_5())\n", + " score_results.append(game.full_game())\n", + " return score_results\n", + "\n" + ], + "language": "python", + "metadata": {}, + "outputs": [], + "prompt_number": 152 + }, + { + "cell_type": "code", + "collapsed": false, + "input": [ + "def game_iterate_20_score(trials=100000):\n", + " score_results = []\n", + " for _ in range(trials):\n", + " game = Game(Hold_at_score_20())\n", + " score_results.append(game.full_game())\n", + " return score_results\n" + ], + "language": "python", + "metadata": {}, + "outputs": [], + "prompt_number": 153 + }, + { + "cell_type": "code", + "collapsed": false, + "input": [ + "score_max_20_results = game_iterate_20_score()\n", + "turn_max_5_results = game_iterate_5()\n", + "turn_5_mean = st.mean(turn_max_5_results)\n", + "score_20_mean = st.mean(score_max_20_results)\n", + "turn_5_stdev = st.pstdev(turn_max_5_results)\n", + "score_20_stdev = st.pstdev(score_max_20_results)" + ], + "language": "python", + "metadata": {}, + "outputs": [], + "prompt_number": 161 + }, + { + "cell_type": "code", + "collapsed": false, + "input": [ + "plt.boxplot([turn_max_5_results, score_max_20_results])\n", + "ymin, ymax = plt.ylim()\n", + "plt.ylim(ymin, ymax + 50)\n", + "plt.title(\"\"\"Pig Solitaire 2 Best Strategies\\n5 Turn Mean: {}\\n 5 Turn Standard Deviation: {}\n", + " \\nScore 20 Mean: {}\\nScore 20 Standard Deviation: {} \"\"\".format(turn_5_mean, turn_5_stdev, score_20_mean, score_20_stdev))\n", + "plt.ylabel(\"Score\")\n", + "plt.xticks(range(1,3), [\"5 Turn\", \"Score 20\"])\n", + "plt.show()" + ], + "language": "python", + "metadata": {}, + "outputs": [ + { + "metadata": {}, + "output_type": "display_data", + "png": 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3Ad8sx1scuJ3MZX8UuFfSL8q2z5HtHI10pIF9MlkC+XB5r08BCwN3A5cDn46I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\nYj3gGuCx8vTpki6LiP2BA4C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+ "text": [ + "" + ] + } + ], + "prompt_number": 162 + }, + { + "cell_type": "heading", + "level": 5, + "metadata": {}, + "source": [ + "My conclusion after running 100,000 trials with each of these strategies is that they will yield about the same results. With holding at a score of 20 holding a very slight advantage." + ] + }, + { + "cell_type": "code", + "collapsed": false, + "input": [], + "language": "python", + "metadata": {}, + "outputs": [] + } + ], + "metadata": {} + } + ] +} \ No newline at end of file