From ab7f1237d1f24bc0fcf5ddfe8cdec4e988ef3506 Mon Sep 17 00:00:00 2001
From: ligerfotis <ligerfotis@gmail.com>
Date: Tue, 28 Mar 2023 21:48:15 +0200
Subject: [PATCH] bonus unsolved

---
 assignment 3/bonus_unsloved.ipynb | 185 ++++++++++++++++++++++++++++++
 1 file changed, 185 insertions(+)
 create mode 100644 assignment 3/bonus_unsloved.ipynb

diff --git a/assignment 3/bonus_unsloved.ipynb b/assignment 3/bonus_unsloved.ipynb
new file mode 100644
index 0000000..a10c05a
--- /dev/null
+++ b/assignment 3/bonus_unsloved.ipynb	
@@ -0,0 +1,185 @@
+{
+ "cells": [
+  {
+   "cell_type": "markdown",
+   "source": [
+    "## Bonus Exercise: Bayes' Rule\n",
+    "### Description\n",
+    "In this exercise, you will implement Bayes' rule to solve a simple card game."
+   ],
+   "metadata": {
+    "collapsed": false
+   }
+  },
+  {
+   "cell_type": "code",
+   "execution_count": 29,
+   "outputs": [],
+   "source": [
+    "import random\n",
+    "\n",
+    "class CardDeck:\n",
+    "    def __init__(self):\n",
+    "        # Initialize the deck of cards\n",
+    "        self.cards = ['R', 'R', 'B', 'B']\n",
+    "        # Shuffle the deck of cards\n",
+    "        random.shuffle(self.cards)\n",
+    "        # Initialize the prior probability\n",
+    "        <code>\n",
+    "\n",
+    "    def draw_card(self, index):\n",
+    "        \"\"\"\n",
+    "        Draw a card from the deck\n",
+    "        :param index: the index of the card to be drawn\n",
+    "        :return: the card and its color\n",
+    "        \"\"\"\n",
+    "        card = self.cards.pop(index)\n",
+    "        color = 'Red' if card == 'R' else 'Black'\n",
+    "        return (card, color)\n",
+    "\n",
+    "    def get_card_color(self, index):\n",
+    "        \"\"\"\n",
+    "        Get the color of a card\n",
+    "        :return: the color of the card\n",
+    "        \"\"\"\n",
+    "        card = self.cards[index]\n",
+    "        color = 'Red' if card == 'R' else 'Black'\n",
+    "        return color\n",
+    "\n",
+    "    def get_remainder(self):\n",
+    "        \"\"\"\n",
+    "        Get the remainder deck\n",
+    "        :return: the remainder deck\n",
+    "        \"\"\"\n",
+    "        return self.cards\n",
+    "\n",
+    "    \"\"\"\n",
+    "    Update the prior probability based on Bayes' rule\n",
+    "    function name: update_probabilities\n",
+    "    \"\"\"\n",
+    "    ### function missing here\n",
+    "    <code>\n",
+    "    \"\"\"\n",
+    "    Calculate the posterior probability based on the prior probability, likelihood, and marginal likelihood\n",
+    "    function name: get_posterior\n",
+    "    \"\"\"\n",
+    "    ### function missing here\n",
+    "    <code>\n",
+    "\n",
+    "    def play_game(self):\n",
+    "        while self.cards:\n",
+    "            for i, card in enumerate(self.cards):\n",
+    "                print(f'{i}: Unknown')\n",
+    "             # only one card left\n",
+    "            if len(self.cards) == 1:\n",
+    "                # code missing here\n",
+    "                <code>\n",
+    "                self.cards.pop()\n",
+    "            else:\n",
+    "                index = int(input(f\"Remainder deck: {self.get_remainder()}\\nEnter the index of the card you want to draw:\"))\n",
+    "                card, color = self.draw_card(index-1)\n",
+    "                print(f'You drew a {color} card with value {card}')\n",
+    "\n",
+    "                # Calculate the likelihood and marginal likelihood based on the color of the drawn card\n",
+    "                <code>\n",
+    "            # Update the prior probability based on Bayes' rule\n",
+    "            <code>\n",
+    "            # Print the posterior probabilities\n",
+    "            print(f\"After drawing a {card} card:\")\n",
+    "            print(f\"The probability that the other card is red: {posterior_red:.2f}\")\n",
+    "            print(f\"The probability that the other card is black: {posterior_black:.2f}\")\n",
+    "        print(\"The deck is empty.\")\n",
+    "\n",
+    "\n"
+   ],
+   "metadata": {
+    "collapsed": false
+   }
+  },
+  {
+   "cell_type": "markdown",
+   "source": [
+    "play the game by running the following code:\n"
+   ],
+   "metadata": {
+    "collapsed": false
+   }
+  },
+  {
+   "cell_type": "code",
+   "execution_count": null,
+   "outputs": [
+    {
+     "name": "stdout",
+     "output_type": "stream",
+     "text": [
+      "0: Unknown\n",
+      "1: Unknown\n",
+      "2: Unknown\n",
+      "3: Unknown\n",
+      "You drew a Red card with value R\n",
+      "After drawing a R card:\n",
+      "The probability that the other card is red: 0.33\n",
+      "The probability that the other card is black: 0.67\n",
+      "0: Unknown\n",
+      "1: Unknown\n",
+      "2: Unknown\n",
+      "You drew a Black card with value B\n",
+      "After drawing a B card:\n",
+      "The probability that the other card is red: 0.33\n",
+      "The probability that the other card is black: 0.67\n",
+      "0: Unknown\n",
+      "1: Unknown\n"
+     ]
+    }
+   ],
+   "source": [
+    "deck = CardDeck()\n",
+    "deck.play_game()\n"
+   ],
+   "metadata": {
+    "collapsed": false,
+    "pycharm": {
+     "is_executing": true
+    }
+   }
+  },
+  {
+   "cell_type": "markdown",
+   "source": [],
+   "metadata": {
+    "collapsed": false
+   }
+  },
+  {
+   "cell_type": "code",
+   "execution_count": null,
+   "outputs": [],
+   "source": [],
+   "metadata": {
+    "collapsed": false
+   }
+  }
+ ],
+ "metadata": {
+  "kernelspec": {
+   "display_name": "Python 3",
+   "language": "python",
+   "name": "python3"
+  },
+  "language_info": {
+   "codemirror_mode": {
+    "name": "ipython",
+    "version": 2
+   },
+   "file_extension": ".py",
+   "mimetype": "text/x-python",
+   "name": "python",
+   "nbconvert_exporter": "python",
+   "pygments_lexer": "ipython2",
+   "version": "2.7.6"
+  }
+ },
+ "nbformat": 4,
+ "nbformat_minor": 0
+}