{
 "cells": [
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/html": [
       "<script>\n",
       "  var password,\n",
       "      teacher_mode,\n",
       "      isHtml;\n",
       "      \n",
       "  var class_output,\n",
       "      class_input,\n",
       "      class_answer;\n",
       "      \n",
       "  function code_toggle(e) {\n",
       "    var orig_e = e;\n",
       "    while (!e.closest(class_output).previousElementSibling.classList.contains(class_input)) {\n",
       "      e = e.closest(class_output).previousElementSibling;\n",
       "    }\n",
       "    var target = e.closest(class_output).previousElementSibling;\n",
       "    if (target.getAttribute(\"style\") == \"\" || target.getAttribute(\"style\") == null) {\n",
       "      target.style.display = \"none\";\n",
       "      orig_e.innerHTML = 'show code';\n",
       "    }\n",
       "    else {\n",
       "      target.style.removeProperty(\"display\");\n",
       "      orig_e.innerHTML = 'hide code';\n",
       "    }\n",
       "  }\n",
       "  \n",
       "  function hide_answer(e) {\n",
       "    var target = e.closest(class_answer).nextElementSibling;\n",
       "    //e.closest(class_output).previousElementSibling.style.display = \"none\";\n",
       "    if (target.getAttribute(\"style\") == \"\" || target.getAttribute(\"style\") == null) {\n",
       "      target.style.display = \"none\";\n",
       "      e.innerHTML = 'show answer';\n",
       "    }\n",
       "    else if (teacher_mode) {\n",
       "        e.innerHTML = 'hide answer';\n",
       "        target.style.removeProperty(\"display\");\n",
       "    }\n",
       "  }\n",
       "  \n",
       "  function done() { \n",
       "    document.getElementById(\"popup\").style.display = \"none\";\n",
       "    var input = document.getElementById(\"password\").value;\n",
       "    if (input==password) { teacher_mode=1; alert(\"Unlocked!\");}\n",
       "    else { teacher_mode=0; alert(\"Wrong password!\");}       \n",
       "  };\n",
       "\n",
       "  function unlock() {\n",
       "    document.getElementById(\"popup\").style.display = \"block\";\n",
       "  }\n",
       "  \n",
       "  $(document).ready(function() {\n",
       "    $.ajax({\n",
       "      type: \"GET\",  \n",
       "      url: \"https://raw.githubusercontent.com/ming-zhao/ming-zhao.github.io/master/data/course.csv\",\n",
       "      dataType: \"text\",       \n",
       "      success: function(data)  \n",
       "      {\n",
       "        var items = data.split(',');\n",
       "        var url = window.location.pathname;\n",
       "        var filename = url.substring(url.lastIndexOf('/')+1);\n",
       "        password='123';\n",
       "        for (var i = 0, len = items.length; i < len; ++i) {\n",
       "            if (filename.includes(items[i].trim()) && i%2==0 && i<items.length) {\n",
       "                password=items[i+1].trim();\n",
       "                break;\n",
       "            }\n",
       "        }\n",
       "        var code_blocks = document.getElementsByClassName('nbinput docutils container');\n",
       "        if (code_blocks[0]==null) { \n",
       "            isHtml=0;\n",
       "            code_blocks = document.getElementsByClassName('input');\n",
       "            class_output=\".output_wrapper\";\n",
       "            class_input=\"input\";\n",
       "            class_answer='.cell';\n",
       "        }\n",
       "        else { \n",
       "            isHtml=1;\n",
       "            class_output=\".nboutput\";\n",
       "            class_input=\"nbinput\";\n",
       "            class_answer=\".nboutput\";\n",
       "        }\n",
       "        \n",
       "        for (var i = 0, len = code_blocks.length; i < len; ++i) {\n",
       "          if (\n",
       "              code_blocks[i].innerHTML.indexOf(\"toggle\") !== -1 \n",
       "              || code_blocks[i].innerHTML.indexOf(\"button onclick\") !== -1\n",
       "             ) {\n",
       "            code_blocks[i].style.display = \"none\";\n",
       "          }\n",
       "        }\n",
       "        for (var i = 0, len = code_blocks.length; i < len; ++i) {\n",
       "          if (code_blocks[i].innerHTML.indexOf(\"hide_answer\") !== -1) {\n",
       "            code_blocks[i].style.display = \"none\";\n",
       "            if (isHtml) {\n",
       "              code_blocks[i].nextElementSibling.nextElementSibling.style.display = \"none\";\n",
       "            }\n",
       "            else{\n",
       "              code_blocks[i].closest(class_answer).nextElementSibling.style.display = \"none\";\n",
       "            }            \n",
       "          }\n",
       "        }\n",
       "      }\n",
       "    });\n",
       "  });\n",
       "</script>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "text/html": [
       "\n",
       "<div id=\"popup\" style=\"padding-bottom:5px; display:none;\">\n",
       "    <div>Enter Password:</div>\n",
       "    <input id=\"password\" type=\"password\"/>\n",
       "    <button onclick=\"done()\" style=\"border-radius: 12px;\">Submit</button>    \n",
       "</div>\n",
       "<button onclick=\"unlock()\" style=\"border-radius: 12px;\">Unclock</button>\n",
       "<a href=\"#\" onclick=\"code_toggle(this); return false;\">show code</a>\n"
      ],
      "text/plain": [
       "<IPython.core.display.HTML object>"
      ]
     },
     "execution_count": 1,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "%run ../initscript.py\n",
    "HTML(\"\"\"\n",
    "<div id=\"popup\" style=\"padding-bottom:5px; display:none;\">\n",
    "    <div>Enter Password:</div>\n",
    "    <input id=\"password\" type=\"password\"/>\n",
    "    <button onclick=\"done()\" style=\"border-radius: 12px;\">Submit</button>    \n",
    "</div>\n",
    "<button onclick=\"unlock()\" style=\"border-radius: 12px;\">Unclock</button>\n",
    "<a href=\"#\" onclick=\"code_toggle(this); return false;\">show code</a>\n",
    "\"\"\")"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/html": [
       "\n",
       "        <a href=\"#\" onclick=\"code_toggle(this); return false;\">show code</a>\n",
       "    "
      ],
      "text/plain": [
       "<IPython.core.display.HTML object>"
      ]
     },
     "execution_count": 2,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "%run loadoptfuncs.py\n",
    "toggle()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Monty Hall Problem"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "The problem is well described by this movie (\"21\") clip. The simulation game can be played in this [link](https://ming-zhao.github.io/sim/montyhall/index.html)."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "application/vnd.jupyter.widget-view+json": {
       "model_id": "131771d2b959440da2c5966194dbcafe",
       "version_major": 2,
       "version_minor": 0
      },
      "text/plain": [
       "HTML(value='<iframe width=\"560\" height=\"315\" src=\"https://www.youtube.com/embed/cXqDIFUB7YU\" frameborder=\"0\" a…"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "HTML('<iframe width=\"560\" height=\"315\" src=\"https://www.youtube.com/embed/cXqDIFUB7YU\" frameborder=\"0\" allow=\"accelerometer; autoplay; encrypted-media; gyroscope; picture-in-picture\" allowfullscreen></iframe>')"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Without loss of generality, we assume that the player always selects door 1 at the beginning of the game. The simulation shows that the \"switch\" strategy achieves a higher probability for winning the car."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "metadata": {
    "scrolled": false
   },
   "outputs": [
    {
     "data": {
      "application/vnd.jupyter.widget-view+json": {
       "model_id": "94ed9294c32745f2aefc6d98aa6f9a61",
       "version_major": 2,
       "version_minor": 0
      },
      "text/plain": [
       "interactive(children=(BoundedIntText(value=100, description='Sample Size:', max=10000, min=100), Button(descri…"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "widgets.interact_manual.opts['manual_name'] = 'Run Simulation'\n",
    "interact_manual(montyhall,\n",
    "                sample_size=widgets.BoundedIntText(value=100, min=100, max=10000,\n",
    "                                                   description='Sample Size:', disabled=False));"
   ]
  }
 ],
 "metadata": {
  "hide_input": false,
  "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": "3.7.3"
  },
  "toc": {
   "base_numbering": 1,
   "nav_menu": {},
   "number_sections": true,
   "sideBar": true,
   "skip_h1_title": false,
   "title_cell": "Table of Contents",
   "title_sidebar": "Contents",
   "toc_cell": false,
   "toc_position": {},
   "toc_section_display": true,
   "toc_window_display": false
  },
  "widgets": {
   "application/vnd.jupyter.widget-state+json": {
    "state": {
     "10e1b9bf30b946d38cdb634ddd0658a1": {
      "model_module": "@jupyter-widgets/base",
      "model_module_version": "1.1.0",
      "model_name": "LayoutModel",
      "state": {}
     },
     "131771d2b959440da2c5966194dbcafe": {
      "model_module": "@jupyter-widgets/controls",
      "model_module_version": "1.4.0",
      "model_name": "HTMLModel",
      "state": {
       "layout": "IPY_MODEL_6ee6bdd95c4a4a4aa8f3c930fa3ccd98",
       "style": "IPY_MODEL_a6303c93c2dc410e8f6dc4a057c3c457",
       "value": "<iframe width=\"560\" height=\"315\" src=\"https://www.youtube.com/embed/cXqDIFUB7YU\" frameborder=\"0\" allow=\"accelerometer; autoplay; encrypted-media; gyroscope; picture-in-picture\" allowfullscreen></iframe>"
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     "1786edf506e7417fab56d8d49a18fe91": {
      "model_module": "@jupyter-widgets/controls",
      "model_module_version": "1.4.0",
      "model_name": "DescriptionStyleModel",
      "state": {
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     "2edc2294149341768efd19a2b01376ff": {
      "model_module": "@jupyter-widgets/controls",
      "model_module_version": "1.4.0",
      "model_name": "DescriptionStyleModel",
      "state": {
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     "34b4ca7813594e04a262e399359b6a7a": {
      "model_module": "@jupyter-widgets/output",
      "model_module_version": "1.0.0",
      "model_name": "OutputModel",
      "state": {
       "layout": "IPY_MODEL_10e1b9bf30b946d38cdb634ddd0658a1",
       "outputs": [
        {
         "data": {
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\n",
          "text/plain": "<Figure size 864x432 with 1 Axes>"
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          "text/plain": "  door1 door2 door3 select keep prize open switch     win\n0   car  goat  goat      1    1     1    3      2    keep\n1  goat   car  goat      1    1     2    3      2  switch\n2   car  goat  goat      1    1     1    2      3    keep\n3   car  goat  goat      1    1     1    3      2    keep\n4   car  goat  goat      1    1     1    2      3    keep\n5  goat  goat   car      1    1     3    2      3  switch\n6   car  goat  goat      1    1     1    2      3    keep\n7   car  goat  goat      1    1     1    3      2    keep\n8   car  goat  goat      1    1     1    2      3    keep\n9  goat   car  goat      1    1     2    3      2  switch"
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        {
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\n",
          "text/plain": "<Figure size 864x432 with 1 Axes>"
         },
         "metadata": {
          "needs_background": "light"
         },
         "output_type": "display_data"
        },
        {
         "data": {
          "text/html": "<div>\n<style scoped>\n    .dataframe tbody tr th:only-of-type {\n        vertical-align: middle;\n    }\n\n    .dataframe tbody tr th {\n        vertical-align: top;\n    }\n\n    .dataframe thead th {\n        text-align: right;\n    }\n</style>\n<table border=\"1\" class=\"dataframe\">\n  <thead>\n    <tr style=\"text-align: right;\">\n      <th></th>\n      <th>door1</th>\n      <th>door2</th>\n      <th>door3</th>\n      <th>select</th>\n      <th>keep</th>\n      <th>prize</th>\n      <th>open</th>\n      <th>switch</th>\n      <th>win</th>\n    </tr>\n  </thead>\n  <tbody>\n    <tr>\n      <th>0</th>\n      <td>car</td>\n      <td>goat</td>\n      <td>goat</td>\n      <td>1</td>\n      <td>1</td>\n      <td>1</td>\n      <td>3</td>\n      <td>2</td>\n      <td>keep</td>\n    </tr>\n    <tr>\n      <th>1</th>\n      <td>goat</td>\n      <td>car</td>\n      <td>goat</td>\n      <td>1</td>\n      <td>1</td>\n      <td>2</td>\n      <td>3</td>\n      <td>2</td>\n      <td>switch</td>\n    </tr>\n    <tr>\n      <th>2</th>\n      <td>car</td>\n      <td>goat</td>\n      <td>goat</td>\n      <td>1</td>\n      <td>1</td>\n      <td>1</td>\n      <td>3</td>\n      <td>2</td>\n      <td>keep</td>\n    </tr>\n    <tr>\n      <th>3</th>\n      <td>car</td>\n      <td>goat</td>\n      <td>goat</td>\n      <td>1</td>\n      <td>1</td>\n      <td>1</td>\n      <td>2</td>\n      <td>3</td>\n      <td>keep</td>\n    </tr>\n    <tr>\n      <th>4</th>\n      <td>goat</td>\n      <td>goat</td>\n      <td>car</td>\n      <td>1</td>\n      <td>1</td>\n      <td>3</td>\n      <td>2</td>\n      <td>3</td>\n      <td>switch</td>\n    </tr>\n    <tr>\n      <th>5</th>\n      <td>goat</td>\n      <td>goat</td>\n      <td>car</td>\n      <td>1</td>\n      <td>1</td>\n      <td>3</td>\n      <td>2</td>\n      <td>3</td>\n      <td>switch</td>\n    </tr>\n    <tr>\n      <th>6</th>\n      <td>car</td>\n      <td>goat</td>\n      <td>goat</td>\n      <td>1</td>\n      <td>1</td>\n      <td>1</td>\n      <td>3</td>\n      <td>2</td>\n      <td>keep</td>\n    </tr>\n    <tr>\n      <th>7</th>\n      <td>goat</td>\n      <td>goat</td>\n      <td>car</td>\n      <td>1</td>\n      <td>1</td>\n      <td>3</td>\n      <td>2</td>\n      <td>3</td>\n      <td>switch</td>\n    </tr>\n    <tr>\n      <th>8</th>\n      <td>goat</td>\n      <td>car</td>\n      <td>goat</td>\n      <td>1</td>\n      <td>1</td>\n      <td>2</td>\n      <td>3</td>\n      <td>2</td>\n      <td>switch</td>\n    </tr>\n    <tr>\n      <th>9</th>\n      <td>car</td>\n      <td>goat</td>\n      <td>goat</td>\n      <td>1</td>\n      <td>1</td>\n      <td>1</td>\n      <td>2</td>\n      <td>3</td>\n      <td>keep</td>\n    </tr>\n  </tbody>\n</table>\n</div>",
          "text/plain": "  door1 door2 door3 select keep prize open switch     win\n0   car  goat  goat      1    1     1    3      2    keep\n1  goat   car  goat      1    1     2    3      2  switch\n2   car  goat  goat      1    1     1    3      2    keep\n3   car  goat  goat      1    1     1    2      3    keep\n4  goat  goat   car      1    1     3    2      3  switch\n5  goat  goat   car      1    1     3    2      3  switch\n6   car  goat  goat      1    1     1    3      2    keep\n7  goat  goat   car      1    1     3    2      3  switch\n8  goat   car  goat      1    1     2    3      2  switch\n9   car  goat  goat      1    1     1    2      3    keep"
         },
         "metadata": {},
         "output_type": "display_data"
        }
       ]
      }
     },
     "64cae9df7a37443f9f5127640839a3c0": {
      "model_module": "@jupyter-widgets/controls",
      "model_module_version": "1.4.0",
      "model_name": "BoundedIntTextModel",
      "state": {
       "description": "Sample Size:",
       "layout": "IPY_MODEL_b549f88f0a2a4996ae3061e4a616fa7a",
       "max": 10000,
       "min": 100,
       "style": "IPY_MODEL_2edc2294149341768efd19a2b01376ff",
       "value": 100
      }
     },
     "66a3d95dc2e247e6b9ea16ad43cb85d2": {
      "model_module": "@jupyter-widgets/base",
      "model_module_version": "1.1.0",
      "model_name": "LayoutModel",
      "state": {}
     },
     "676b154df5814847a8ff96b4e924df15": {
      "model_module": "@jupyter-widgets/controls",
      "model_module_version": "1.4.0",
      "model_name": "BoundedIntTextModel",
      "state": {
       "description": "Sample Size:",
       "layout": "IPY_MODEL_42d35c89c6594d5fbf21ced7f08b7666",
       "max": 10000,
       "min": 10,
       "style": "IPY_MODEL_424395d7964645a987c21da19b7c0745",
       "value": 10
      }
     },
     "6cc59707e2de47f7b0ebfa379182a3aa": {
      "model_module": "@jupyter-widgets/controls",
      "model_module_version": "1.4.0",
      "model_name": "DescriptionStyleModel",
      "state": {
       "description_width": ""
      }
     },
     "6ee6bdd95c4a4a4aa8f3c930fa3ccd98": {
      "model_module": "@jupyter-widgets/base",
      "model_module_version": "1.1.0",
      "model_name": "LayoutModel",
      "state": {}
     },
     "73767bb3f5684dfca4687da7ecd8da81": {
      "model_module": "@jupyter-widgets/controls",
      "model_module_version": "1.4.0",
      "model_name": "DescriptionStyleModel",
      "state": {
       "description_width": ""
      }
     },
     "74f25e9d02714b51b2a79af9ec08de58": {
      "model_module": "@jupyter-widgets/controls",
      "model_module_version": "1.4.0",
      "model_name": "ButtonModel",
      "state": {
       "description": "Run Simulation",
       "layout": "IPY_MODEL_37426e8d4f38489a92a402d585880d8c",
       "style": "IPY_MODEL_9224861598234d1a91294845d2c26f0d"
      }
     },
     "76612dda3aaf4a0a8385a6bb49901671": {
      "model_module": "@jupyter-widgets/controls",
      "model_module_version": "1.4.0",
      "model_name": "ButtonStyleModel",
      "state": {}
     },
     "77f0295e734645a29015190601dc8432": {
      "model_module": "@jupyter-widgets/controls",
      "model_module_version": "1.4.0",
      "model_name": "DescriptionStyleModel",
      "state": {
       "description_width": ""
      }
     },
     "8905acc005f04d258097923362c4579f": {
      "model_module": "@jupyter-widgets/controls",
      "model_module_version": "1.4.0",
      "model_name": "VBoxModel",
      "state": {
       "_dom_classes": [
        "widget-interact"
       ],
       "children": [
        "IPY_MODEL_e749a98579d743919e71ef5437fdb183",
        "IPY_MODEL_b7daed4413fd4fda934ac50e3b69107e",
        "IPY_MODEL_ddba9c3e68564876baf35b2497f62b99"
       ],
       "layout": "IPY_MODEL_a89190df99f54b6ebd5983871c1cfb56"
      }
     },
     "8d159ce96ebf49ae9763c533f042987e": {
      "model_module": "@jupyter-widgets/output",
      "model_module_version": "1.0.0",
      "model_name": "OutputModel",
      "state": {
       "layout": "IPY_MODEL_446acf038c464d67a40532813fdd1df5",
       "outputs": [
        {
         "data": {
          "image/png": 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\n",
          "text/plain": "<Figure size 864x432 with 1 Axes>"
         },
         "metadata": {
          "needs_background": "light"
         },
         "output_type": "display_data"
        },
        {
         "data": {
          "text/html": "<div>\n<style scoped>\n    .dataframe tbody tr th:only-of-type {\n        vertical-align: middle;\n    }\n\n    .dataframe tbody tr th {\n        vertical-align: top;\n    }\n\n    .dataframe thead th {\n        text-align: right;\n    }\n</style>\n<table border=\"1\" class=\"dataframe\">\n  <thead>\n    <tr style=\"text-align: right;\">\n      <th></th>\n      <th>door1</th>\n      <th>door2</th>\n      <th>door3</th>\n      <th>select</th>\n      <th>keep</th>\n      <th>prize</th>\n      <th>open</th>\n      <th>switch</th>\n      <th>win</th>\n    </tr>\n  </thead>\n  <tbody>\n    <tr>\n      <th>0</th>\n      <td>goat</td>\n      <td>goat</td>\n      <td>car</td>\n      <td>1</td>\n      <td>1</td>\n      <td>3</td>\n      <td>2</td>\n      <td>3</td>\n      <td>switch</td>\n    </tr>\n    <tr>\n      <th>1</th>\n      <td>goat</td>\n      <td>car</td>\n      <td>goat</td>\n      <td>1</td>\n      <td>1</td>\n      <td>2</td>\n      <td>3</td>\n      <td>2</td>\n      <td>switch</td>\n    </tr>\n    <tr>\n      <th>2</th>\n      <td>car</td>\n      <td>goat</td>\n      <td>goat</td>\n      <td>1</td>\n      <td>1</td>\n      <td>1</td>\n      <td>3</td>\n      <td>2</td>\n      <td>keep</td>\n    </tr>\n    <tr>\n      <th>3</th>\n      <td>goat</td>\n      <td>car</td>\n      <td>goat</td>\n      <td>1</td>\n      <td>1</td>\n      <td>2</td>\n      <td>3</td>\n      <td>2</td>\n      <td>switch</td>\n    </tr>\n    <tr>\n      <th>4</th>\n      <td>car</td>\n      <td>goat</td>\n      <td>goat</td>\n      <td>1</td>\n      <td>1</td>\n      <td>1</td>\n      <td>3</td>\n      <td>2</td>\n      <td>keep</td>\n    </tr>\n    <tr>\n      <th>5</th>\n      <td>goat</td>\n      <td>goat</td>\n      <td>car</td>\n      <td>1</td>\n      <td>1</td>\n      <td>3</td>\n      <td>2</td>\n      <td>3</td>\n      <td>switch</td>\n    </tr>\n    <tr>\n      <th>6</th>\n      <td>goat</td>\n      <td>goat</td>\n      <td>car</td>\n      <td>1</td>\n      <td>1</td>\n      <td>3</td>\n      <td>2</td>\n      <td>3</td>\n      <td>switch</td>\n    </tr>\n    <tr>\n      <th>7</th>\n      <td>goat</td>\n      <td>car</td>\n      <td>goat</td>\n      <td>1</td>\n      <td>1</td>\n      <td>2</td>\n      <td>3</td>\n      <td>2</td>\n      <td>switch</td>\n    </tr>\n    <tr>\n      <th>8</th>\n      <td>goat</td>\n      <td>goat</td>\n      <td>car</td>\n      <td>1</td>\n      <td>1</td>\n      <td>3</td>\n      <td>2</td>\n      <td>3</td>\n      <td>switch</td>\n    </tr>\n    <tr>\n      <th>9</th>\n      <td>goat</td>\n      <td>car</td>\n      <td>goat</td>\n      <td>1</td>\n      <td>1</td>\n      <td>2</td>\n      <td>3</td>\n      <td>2</td>\n      <td>switch</td>\n    </tr>\n  </tbody>\n</table>\n</div>",
          "text/plain": "  door1 door2 door3 select keep prize open switch     win\n0  goat  goat   car      1    1     3    2      3  switch\n1  goat   car  goat      1    1     2    3      2  switch\n2   car  goat  goat      1    1     1    3      2    keep\n3  goat   car  goat      1    1     2    3      2  switch\n4   car  goat  goat      1    1     1    3      2    keep\n5  goat  goat   car      1    1     3    2      3  switch\n6  goat  goat   car      1    1     3    2      3  switch\n7  goat   car  goat      1    1     2    3      2  switch\n8  goat  goat   car      1    1     3    2      3  switch\n9  goat   car  goat      1    1     2    3      2  switch"
         },
         "metadata": {},
         "output_type": "display_data"
        }
       ]
      }
     },
     "8ee328877d3248d3af8937a9b8c0dad8": {
      "model_module": "@jupyter-widgets/output",
      "model_module_version": "1.0.0",
      "model_name": "OutputModel",
      "state": {
       "layout": "IPY_MODEL_56cbe08fddb3471d9ef374445f2a6d7e",
       "outputs": [
        {
         "data": {
          "image/png": 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\n",
          "text/plain": "<Figure size 864x432 with 1 Axes>"
         },
         "metadata": {
          "needs_background": "light"
         },
         "output_type": "display_data"
        },
        {
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\n",
          "text/plain": "<Figure size 864x432 with 1 Axes>"
         },
         "metadata": {
          "needs_background": "light"
         },
         "output_type": "display_data"
        },
        {
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