d322111_simulations_and_visualizations.ipynb

{
 "cells": [
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Introduction"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "After the last dice experiment I got to thinking about six-sided dice (AKA d6). I wanted to make an in-world dice game for my D&D setting. I thought that skewing a d6's distribution from `[1, 2, 3, 4, 5, 6]` to `[1, 1, 1, 2, 2, 3]` (still 6-sided just with different numbers) could produce interesting results for gambling, and it did!\n",
    "\n",
    "This notebook visualizes the **distributions of rolling these slanted d6's.**"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Packages"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {},
   "outputs": [],
   "source": [
    "import numpy as np\n",
    "np.random.seed(0)\n",
    "\n",
    "import matplotlib.pyplot as plt\n",
    "import seaborn as sns\n",
    "sns.set_style('whitegrid')"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Dice Functions"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "metadata": {},
   "outputs": [],
   "source": [
    "def slant_6(dice=1):\n",
    "    '''\n",
    "    Returns sum of random roll(s) from n-slanted-d6.\n",
    "    ---\n",
    "    dice\n",
    "        Number of dice rolled. Defaults to one.\n",
    "    '''\n",
    "    slant_dist = [1, 1, 1, 2, 2, 3]\n",
    "    total = 0\n",
    "    for i in range(dice):\n",
    "        total += np.random.choice(slant_dist)\n",
    "    return total"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "metadata": {},
   "outputs": [],
   "source": [
    "def slant_6_dist(dice=1, rolls=1000000):\n",
    "    '''\n",
    "    Returns list of individual rolls for n-slanted-d6.\n",
    "    ---\n",
    "    dice\n",
    "        Number of dice rolled. Defaults to one.\n",
    "    rolls\n",
    "        Number of total rolls done with die/dice.\n",
    "    '''\n",
    "    roll_dist = []\n",
    "    for i in range(rolls):\n",
    "        roll_dist.append(slant_6(dice))\n",
    "    return roll_dist"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "metadata": {},
   "outputs": [],
   "source": [
    "def slant_6_plot(dice=1, color='red'):\n",
    "    '''\n",
    "    Creates a Seaborn distplot for the given set of slant-d6's to be rolled.\n",
    "    ---\n",
    "    dice\n",
    "        Number of dice rolled. Defaults to one.\n",
    "    color\n",
    "        Color of the plot. Defaults to red.\n",
    "    '''\n",
    "    plt.figure(figsize=(12,6))\n",
    "    sns.distplot(slant_6_dist(dice=dice), color=color, bins='auto')\n",
    "    plt.title(f'Distribution For {dice} Slant d6')\n",
    "    plt.ylabel('Likelihood')\n",
    "    plt.xlabel('Roll')\n",
    "    plt.show();"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Visualizations"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "metadata": {},
   "outputs": [],
   "source": [
    "slant_6_dict = {1: 'red', 2: 'orange', 3: 'yellow', 4: 'green', 5: 'blue', 6: 'purple'}"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 10,
   "metadata": {
    "scrolled": false
   },
   "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": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 864x432 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "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": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 864x432 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "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": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 864x432 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "for i, j in slant_6_dict.items():\n",
    "    slant_6_plot(dice=i, color=j)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Frequencies"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "I made two of the `[1, 1, 1, 2, 2, 3]` dice by hand-carving them and, honestly, I'm not making more. Since that's the practical frame for the most dice we could use in-game for anything, we should look at the distributions for total outputs on those dice rolls. In other words: **\"If ya only got two, what're the odds lookin like?\"**\n",
    "\n",
    "This first cell shows the possible combinations:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 51,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "{2, 3, 4, 5, 6}"
      ]
     },
     "execution_count": 51,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "slant_6 = [1, 1, 1, 2, 2, 3]\n",
    "output_list = []\n",
    "\n",
    "for i in slant_6:\n",
    "    for j in slant_6:\n",
    "        output_list.append(i+j)\n",
    "\n",
    "set(output_list)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "This next cell shows their frequencies in percentage chance:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 52,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "{2: 0.25, 3: 0.33, 4: 0.28, 5: 0.11, 6: 0.03}\n"
     ]
    }
   ],
   "source": [
    "output_freq = {}\n",
    "\n",
    "for i in set(output_list):\n",
    "    output_freq[i] = np.round(len([x for x in output_list if x == i])/len(output_list), 2)\n",
    "\n",
    "print(output_freq)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "The fact that 2 is **third-most** common is a little surprising here. Going in we mostly have 1's on our dice, so \"common sense\" suggests that 2 then should be the **most** common output, since we're likely to get two 1's. But, we'd be wrong to think this.\n",
    "\n",
    "I don't know exactly how you'd use this in-game, but I think the fact that it's somewhat counterintuitive plays in nicely to gambling and trickery. Happy gaming!"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Appendix"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Okay I ran it with three dice too I couldn't resist."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 53,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "{3, 4, 5, 6, 7, 8, 9}"
      ]
     },
     "execution_count": 53,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "output_list_2 = []\n",
    "\n",
    "for i in slant_6:\n",
    "    for j in slant_6:\n",
    "        for k in slant_6:\n",
    "            output_list_2.append(i+j+k)\n",
    "\n",
    "set(output_list_2)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 55,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "{3: 0.125, 4: 0.25, 5: 0.292, 6: 0.204, 7: 0.097, 8: 0.028, 9: 0.005}\n"
     ]
    }
   ],
   "source": [
    "output_freq_2 = {}\n",
    "\n",
    "for i in set(output_list_2):\n",
    "    output_freq_2[i] = np.round(len([x for x in output_list_2 if x == i])/len(output_list_2), 3)\n",
    "\n",
    "print(output_freq_2)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Could I have made a function? Yes. Should I have done this before instead of simulating millions of dice rolls? Absolutely. So goes the process of learning ¯\\\\_(ツ)_/¯"
   ]
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "Python [conda env:learn-env] *",
   "language": "python",
   "name": "conda-env-learn-env-py"
  },
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 3
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython3",
   "version": "3.6.9"
  },
  "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
  },
  "varInspector": {
   "cols": {
    "lenName": 16,
    "lenType": 16,
    "lenVar": 40
   },
   "kernels_config": {
    "python": {
     "delete_cmd_postfix": "",
     "delete_cmd_prefix": "del ",
     "library": "var_list.py",
     "varRefreshCmd": "print(var_dic_list())"
    },
    "r": {
     "delete_cmd_postfix": ") ",
     "delete_cmd_prefix": "rm(",
     "library": "var_list.r",
     "varRefreshCmd": "cat(var_dic_list()) "
    }
   },
   "types_to_exclude": [
    "module",
    "function",
    "builtin_function_or_method",
    "instance",
    "_Feature"
   ],
   "window_display": false
  }
 },
 "nbformat": 4,
 "nbformat_minor": 2
}