Monty_Hall_Simulation.ipynb

{
  "nbformat": 4,
  "nbformat_minor": 0,
  "metadata": {
    "colab": {
      "provenance": [],
      "authorship_tag": "ABX9TyOSYhPs1lX76ee7V5qmoI3J"
    },
    "kernelspec": {
      "name": "python3",
      "display_name": "Python 3"
    },
    "language_info": {
      "name": "python"
    }
  },
  "cells": [
    {
      "cell_type": "markdown",
      "source": [
        "# Simulating the solution to the Monty Hall problem"
      ],
      "metadata": {
        "id": "7KMR5ZWzqWNL"
      }
    },
    {
      "cell_type": "code",
      "source": [
        "import random\n",
        "import matplotlib.pyplot as plt\n",
        "\n",
        "# Number of iterations in the simulation\n",
        "number_of_iterations = [10, 100, 1000, 10000]\n",
        "\n",
        "fig, axs = plt.subplots(nrows=2, ncols=2, figsize=(8, 6))\n",
        "\n",
        "for i, number_of_iterations in enumerate(number_of_iterations):\n",
        "    # List to store results of all iterations\n",
        "    stay_results = []\n",
        "    switch_results = []\n",
        "\n",
        "    # For loop for collecting results\n",
        "    for j in range(number_of_iterations):\n",
        "        doors = ['door 1', 'door 2', 'door 3']\n",
        "\n",
        "        # Random selection of door to place the car\n",
        "        car_door = random.choice(doors)\n",
        "        # You select a door at random\n",
        "        your_door = random.choice(doors)\n",
        "\n",
        "        # Monty can only select the door that does not have the car and one that you have not chosen\n",
        "        monty_door = list(set(doors) - set([car_door, your_door]))[0]\n",
        "        # The door that Monty does not open and the one you have not chosen initially\n",
        "        switch_door = list(set(doors) - set([monty_door, your_door]))[0]\n",
        "\n",
        "        # Result if you stay with your original choice and it has the car behind it\n",
        "        stay_results.append(your_door == car_door)\n",
        "        # Result if you switch doors and it has the car behind it\n",
        "        switch_results.append(switch_door == car_door)\n",
        "\n",
        "    # Probability of winning the car if you stay with your original choice of door\n",
        "    probability_staying = sum(stay_results) / number_of_iterations\n",
        "    # Probability of winning the car if you switch doors\n",
        "    probability_switching = sum(switch_results) / number_of_iterations\n",
        "\n",
        "    ax = axs[i // 2, i % 2]\n",
        "\n",
        "    # Plot the probabilities as a bar graph\n",
        "    ax.bar(['stay', 'switch'], [probability_staying, probability_switching], color=['blue', 'green'], alpha=0.7)\n",
        "    ax.set_xlabel('Strategy')\n",
        "    ax.set_ylabel('Probability of Winning')\n",
        "    ax.set_title('After {} Simulations'.format(number_of_iterations))\n",
        "    ax.set_ylim([0, 1])\n",
        "\n",
        "    # Add probability values on the bars\n",
        "    ax.text(-0.05, probability_staying + 0.05, '{:.2f}'.format(probability_staying), ha='left', va='center', fontsize=10)\n",
        "    ax.text(0.95, probability_switching + 0.05, '{:.2f}'.format(probability_switching), ha='right', va='center', fontsize=10)\n",
        "\n",
        "plt.tight_layout()\n",
        "plt.show()\n"
      ],
      "metadata": {
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 607
        },
        "id": "Z6dSGceSiF7w",
        "outputId": "6e2ad0d1-a718-46f3-e78f-f938a6f933b7"
      },
      "execution_count": null,
      "outputs": [
        {
          "output_type": "display_data",
          "data": {
            "text/plain": [
              "<Figure size 800x600 with 4 Axes>"
            ],
            "image/png": 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\n"
          },
          "metadata": {}
        }
      ]
    }
  ]
}