rolling-simulation-of-two-6-sided-dice.ipynb

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   "source": [
    "import numpy as np \n",
    "import pandas as pd \n",
    "import random as r\n",
    "import matplotlib.pyplot as plt\n",
    "import seaborn as sns\n",
    "%matplotlib inline\n",
    "import os\n"
   ]
  },
  {
   "cell_type": "markdown",
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   "source": [
    "**Create  empty DataFrame with only column names but no rows**"
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     "text": [
      "dice1_Roll: 1 dice2_Roll: 3\n",
      "dice1_Roll: 6 dice2_Roll: 6\n",
      "dice1_Roll: 3 dice2_Roll: 2\n",
      "dice1_Roll: 5 dice2_Roll: 4\n",
      "dice1_Roll: 4 dice2_Roll: 4\n",
      "dice1_Roll: 3 dice2_Roll: 2\n",
      "dice1_Roll: 5 dice2_Roll: 5\n",
      "dice1_Roll: 5 dice2_Roll: 4\n",
      "dice1_Roll: 1 dice2_Roll: 2\n",
      "dice1_Roll: 6 dice2_Roll: 1\n",
      "dice1_Roll: 3 dice2_Roll: 6\n",
      "dice1_Roll: 6 dice2_Roll: 1\n",
      "dice1_Roll: 2 dice2_Roll: 5\n",
      "dice1_Roll: 2 dice2_Roll: 3\n",
      "dice1_Roll: 3 dice2_Roll: 3\n",
      "dice1_Roll: 3 dice2_Roll: 2\n",
      "dice1_Roll: 5 dice2_Roll: 1\n",
      "dice1_Roll: 6 dice2_Roll: 5\n",
      "dice1_Roll: 3 dice2_Roll: 6\n",
      "dice1_Roll: 2 dice2_Roll: 6\n",
      "dice1_Roll: 1 dice2_Roll: 1\n",
      "dice1_Roll: 3 dice2_Roll: 3\n",
      "dice1_Roll: 4 dice2_Roll: 3\n",
      "dice1_Roll: 4 dice2_Roll: 2\n",
      "dice1_Roll: 4 dice2_Roll: 2\n",
      "dice1_Roll: 2 dice2_Roll: 6\n",
      "dice1_Roll: 6 dice2_Roll: 2\n",
      "dice1_Roll: 6 dice2_Roll: 3\n",
      "dice1_Roll: 1 dice2_Roll: 5\n",
      "dice1_Roll: 3 dice2_Roll: 4\n",
      "dice1_Roll: 3 dice2_Roll: 4\n",
      "dice1_Roll: 2 dice2_Roll: 2\n",
      "dice1_Roll: 1 dice2_Roll: 1\n",
      "dice1_Roll: 3 dice2_Roll: 4\n",
      "dice1_Roll: 1 dice2_Roll: 2\n",
      "dice1_Roll: 4 dice2_Roll: 3\n",
      "dice1_Roll: 4 dice2_Roll: 5\n",
      "dice1_Roll: 1 dice2_Roll: 4\n",
      "dice1_Roll: 4 dice2_Roll: 5\n",
      "dice1_Roll: 5 dice2_Roll: 4\n",
      "dice1_Roll: 2 dice2_Roll: 2\n",
      "dice1_Roll: 5 dice2_Roll: 2\n",
      "dice1_Roll: 2 dice2_Roll: 1\n",
      "dice1_Roll: 2 dice2_Roll: 6\n",
      "dice1_Roll: 1 dice2_Roll: 3\n",
      "dice1_Roll: 5 dice2_Roll: 5\n",
      "dice1_Roll: 1 dice2_Roll: 5\n",
      "dice1_Roll: 2 dice2_Roll: 1\n",
      "dice1_Roll: 1 dice2_Roll: 1\n",
      "dice1_Roll: 2 dice2_Roll: 6\n",
      "dice1_Roll: 4 dice2_Roll: 5\n",
      "dice1_Roll: 5 dice2_Roll: 1\n",
      "dice1_Roll: 1 dice2_Roll: 6\n",
      "dice1_Roll: 1 dice2_Roll: 6\n",
      "dice1_Roll: 6 dice2_Roll: 3\n",
      "dice1_Roll: 3 dice2_Roll: 5\n",
      "dice1_Roll: 3 dice2_Roll: 1\n",
      "dice1_Roll: 4 dice2_Roll: 1\n",
      "dice1_Roll: 6 dice2_Roll: 6\n",
      "dice1_Roll: 2 dice2_Roll: 2\n",
      "dice1_Roll: 1 dice2_Roll: 4\n",
      "dice1_Roll: 2 dice2_Roll: 1\n",
      "dice1_Roll: 3 dice2_Roll: 1\n",
      "dice1_Roll: 1 dice2_Roll: 4\n",
      "dice1_Roll: 4 dice2_Roll: 6\n",
      "dice1_Roll: 2 dice2_Roll: 2\n",
      "dice1_Roll: 2 dice2_Roll: 4\n",
      "dice1_Roll: 2 dice2_Roll: 4\n",
      "dice1_Roll: 1 dice2_Roll: 1\n",
      "dice1_Roll: 3 dice2_Roll: 6\n",
      "dice1_Roll: 5 dice2_Roll: 2\n",
      "dice1_Roll: 4 dice2_Roll: 6\n",
      "dice1_Roll: 5 dice2_Roll: 3\n",
      "dice1_Roll: 1 dice2_Roll: 2\n",
      "dice1_Roll: 3 dice2_Roll: 2\n",
      "dice1_Roll: 5 dice2_Roll: 4\n",
      "dice1_Roll: 4 dice2_Roll: 2\n",
      "dice1_Roll: 5 dice2_Roll: 6\n",
      "dice1_Roll: 2 dice2_Roll: 3\n",
      "dice1_Roll: 3 dice2_Roll: 2\n",
      "dice1_Roll: 2 dice2_Roll: 4\n",
      "dice1_Roll: 2 dice2_Roll: 4\n",
      "dice1_Roll: 4 dice2_Roll: 6\n",
      "dice1_Roll: 1 dice2_Roll: 3\n",
      "dice1_Roll: 6 dice2_Roll: 2\n",
      "dice1_Roll: 4 dice2_Roll: 4\n",
      "dice1_Roll: 5 dice2_Roll: 1\n",
      "dice1_Roll: 6 dice2_Roll: 3\n",
      "dice1_Roll: 3 dice2_Roll: 4\n",
      "dice1_Roll: 2 dice2_Roll: 3\n",
      "dice1_Roll: 3 dice2_Roll: 6\n",
      "dice1_Roll: 4 dice2_Roll: 3\n",
      "dice1_Roll: 5 dice2_Roll: 5\n",
      "dice1_Roll: 3 dice2_Roll: 2\n",
      "dice1_Roll: 4 dice2_Roll: 2\n",
      "dice1_Roll: 5 dice2_Roll: 6\n",
      "dice1_Roll: 5 dice2_Roll: 2\n",
      "dice1_Roll: 2 dice2_Roll: 3\n",
      "dice1_Roll: 6 dice2_Roll: 4\n",
      "dice1_Roll: 1 dice2_Roll: 4\n"
     ]
    }
   ],
   "source": [
    "#Create an empty DataFrame with only column names\n",
    "rolling_times = 100 # dice roll 100 times\n",
    "dice_df = pd.DataFrame(columns=['dice1_Roll', 'dice2_Roll', 'dices_sum'])\n",
    "\n",
    "for i in range(rolling_times):\n",
    "        #print(\"Roll No = \", i)\n",
    "        dice1_Roll = r.randint(1, 6)\n",
    "        dice2_Roll = r.randint(1, 6)\n",
    "        #Add Rows to DataFrame\n",
    "        new_row = pd.Series(data={'dice1_Roll':dice1_Roll, \n",
    "                                  'dice2_Roll':dice2_Roll,\n",
    "                                  'dices_sum':dice1_Roll+dice2_Roll})\n",
    "        dice_df = dice_df.append(new_row, ignore_index=True)\n",
    "        print(\"dice1_Roll:\", dice1_Roll, \"dice2_Roll:\", dice2_Roll)\n",
    "        "
   ]
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    {
     "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>dice1_Roll</th>\n",
       "      <th>dice2_Roll</th>\n",
       "      <th>dices_sum</th>\n",
       "    </tr>\n",
       "  </thead>\n",
       "  <tbody>\n",
       "    <tr>\n",
       "      <th>0</th>\n",
       "      <td>1</td>\n",
       "      <td>3</td>\n",
       "      <td>4</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>1</th>\n",
       "      <td>6</td>\n",
       "      <td>6</td>\n",
       "      <td>12</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2</th>\n",
       "      <td>3</td>\n",
       "      <td>2</td>\n",
       "      <td>5</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>3</th>\n",
       "      <td>5</td>\n",
       "      <td>4</td>\n",
       "      <td>9</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>4</th>\n",
       "      <td>4</td>\n",
       "      <td>4</td>\n",
       "      <td>8</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>...</th>\n",
       "      <td>...</td>\n",
       "      <td>...</td>\n",
       "      <td>...</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>95</th>\n",
       "      <td>5</td>\n",
       "      <td>6</td>\n",
       "      <td>11</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>96</th>\n",
       "      <td>5</td>\n",
       "      <td>2</td>\n",
       "      <td>7</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>97</th>\n",
       "      <td>2</td>\n",
       "      <td>3</td>\n",
       "      <td>5</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>98</th>\n",
       "      <td>6</td>\n",
       "      <td>4</td>\n",
       "      <td>10</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>99</th>\n",
       "      <td>1</td>\n",
       "      <td>4</td>\n",
       "      <td>5</td>\n",
       "    </tr>\n",
       "  </tbody>\n",
       "</table>\n",
       "<p>100 rows × 3 columns</p>\n",
       "</div>"
      ],
      "text/plain": [
       "   dice1_Roll dice2_Roll dices_sum\n",
       "0           1          3         4\n",
       "1           6          6        12\n",
       "2           3          2         5\n",
       "3           5          4         9\n",
       "4           4          4         8\n",
       "..        ...        ...       ...\n",
       "95          5          6        11\n",
       "96          5          2         7\n",
       "97          2          3         5\n",
       "98          6          4        10\n",
       "99          1          4         5\n",
       "\n",
       "[100 rows x 3 columns]"
      ]
     },
     "execution_count": 3,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "dice_df"
   ]
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      "text/plain": [
       "(0.0, 100.0)"
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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.hist(dice_df['dices_sum'], bins=20)\n",
    "plt.title(\"Histogram of simulated dice rolls\")\n",
    "plt.xlim([0,13])\n",
    "plt.ylim([0,rolling_times])"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "operational-venue",
   "metadata": {
    "papermill": {
     "duration": 0.005239,
     "end_time": "2021-05-23T13:55:19.238796",
     "exception": false,
     "start_time": "2021-05-23T13:55:19.233557",
     "status": "completed"
    },
    "tags": []
   },
   "source": [
    "**Please consider upvoting if you found it useful to you :)**\n",
    "\n",
    "**Thanks.**"
   ]
  }
 ],
 "metadata": {
  "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": "3.7.10"
  },
  "papermill": {
   "default_parameters": {},
   "duration": 8.795125,
   "end_time": "2021-05-23T13:55:19.953251",
   "environment_variables": {},
   "exception": null,
   "input_path": "__notebook__.ipynb",
   "output_path": "__notebook__.ipynb",
   "parameters": {},
   "start_time": "2021-05-23T13:55:11.158126",
   "version": "2.3.3"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 5
}