beta.ipynb

{
 "cells": [
  {
   "cell_type": "markdown",
   "metadata": {
    "collapsed": true
   },
   "source": [
    "### Coin Posteriors at Carl's Casino"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": [
    "import ipywidgets\n",
    "from ipywidgets import interact, interactive, fixed, interact_manual\n",
    "import ipywidgets as widgets"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": [
    "def f(x):\n",
    "    return x"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "application/vnd.jupyter.widget-view+json": {
       "model_id": "ec99d4bb3ca24cf0852a0bf0e2d21267"
      }
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "interact(f, x=10);"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": [
    "import random\n",
    "import numpy as np\n",
    "import matplotlib.pyplot as plt"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Carl's coin is secretly biased with p(heads) = 0.4. We think it's likely that the coin is fair, but we are not sure. We place a prior categorical distribution over the true parameter of the coin. Our prior is gives 0.8 to p(heads) = .5, 0.1 to p(heads) = 0.4, and 0.1 to p(heads) = 0.6. Given our prior and our observations, we try to determine how likely each of three parameters are.\n",
    "\n",
    "- posterior is proportional to likelihood * prior\n",
    "- If P = p(heads), H = num_heads, and N = num_flips, our likelihood function is:\n",
    "$$\\theta^{N_1}(1-\\theta)^{N-N_1}$$"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Flipped Heads\n",
      "Heads / Total Flips: 1 / 1\n"
     ]
    },
    {
     "data": {
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      "text/plain": [
       "<matplotlib.figure.Figure at 0x111ff10d0>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Flipped Tails\n",
      "Heads / Total Flips: 1 / 2\n"
     ]
    },
    {
     "data": {
      "image/png": "iVBORw0KGgoAAAANSUhEUgAAAXwAAAD8CAYAAAB0IB+mAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\nTkSuQmCC\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x1120cced0>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Flipped Heads\n",
      "Heads / Total Flips: 2 / 3\n"
     ]
    },
    {
     "data": {
      "image/png": "iVBORw0KGgoAAAANSUhEUgAAAXwAAAD8CAYAAAB0IB+mAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\nSUVORK5CYII=\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x11210c410>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Flipped Tails\n",
      "Heads / Total Flips: 2 / 4\n"
     ]
    },
    {
     "data": {
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      "text/plain": [
       "<matplotlib.figure.Figure at 0x112174790>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Flipped Tails\n",
      "Heads / Total Flips: 2 / 5\n"
     ]
    },
    {
     "data": {
      "image/png": "iVBORw0KGgoAAAANSUhEUgAAAXwAAAD8CAYAAAB0IB+mAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\nAElFTkSuQmCC\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x1124dfd90>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Flipped Tails\n",
      "Heads / Total Flips: 2 / 6\n"
     ]
    },
    {
     "data": {
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      "text/plain": [
       "<matplotlib.figure.Figure at 0x11262cd90>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Flipped Heads\n",
      "Heads / Total Flips: 3 / 7\n"
     ]
    },
    {
     "data": {
      "image/png": "iVBORw0KGgoAAAANSUhEUgAAAXwAAAD8CAYAAAB0IB+mAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\nRK5CYII=\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x11252bfd0>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Flipped Tails\n",
      "Heads / Total Flips: 3 / 8\n"
     ]
    },
    {
     "data": {
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      "text/plain": [
       "<matplotlib.figure.Figure at 0x11261e710>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Flipped Heads\n",
      "Heads / Total Flips: 4 / 9\n"
     ]
    },
    {
     "data": {
      "image/png": "iVBORw0KGgoAAAANSUhEUgAAAXwAAAD8CAYAAAB0IB+mAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\nrkJggg==\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x111f55fd0>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Flipped Tails\n",
      "Heads / Total Flips: 4 / 10\n"
     ]
    },
    {
     "data": {
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      "text/plain": [
       "<matplotlib.figure.Figure at 0x1121028d0>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Flipped Tails\n",
      "Heads / Total Flips: 4 / 11\n"
     ]
    },
    {
     "data": {
      "image/png": "iVBORw0KGgoAAAANSUhEUgAAAXwAAAD8CAYAAAB0IB+mAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\nhPmu7IYAAAAASUVORK5CYII=\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x112232b10>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Flipped Tails\n",
      "Heads / Total Flips: 4 / 12\n"
     ]
    },
    {
     "data": {
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      "text/plain": [
       "<matplotlib.figure.Figure at 0x112776fd0>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Flipped Tails\n",
      "Heads / Total Flips: 4 / 13\n"
     ]
    },
    {
     "data": {
      "image/png": "iVBORw0KGgoAAAANSUhEUgAAAXwAAAD8CAYAAAB0IB+mAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\nAABJRU5ErkJggg==\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x11293d050>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Flipped Tails\n",
      "Heads / Total Flips: 4 / 14\n"
     ]
    },
    {
     "data": {
      "image/png": "iVBORw0KGgoAAAANSUhEUgAAAXwAAAD8CAYAAAB0IB+mAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\nPzkAAAAASUVORK5CYII=\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x1126e6e50>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Flipped Tails\n",
      "Heads / Total Flips: 4 / 15\n"
     ]
    },
    {
     "data": {
      "image/png": "iVBORw0KGgoAAAANSUhEUgAAAXwAAAD8CAYAAAB0IB+mAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\nsQgZAAAAAElFTkSuQmCC\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x112a26350>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Flipped Heads\n",
      "Heads / Total Flips: 5 / 16\n"
     ]
    },
    {
     "data": {
      "image/png": "iVBORw0KGgoAAAANSUhEUgAAAXwAAAD8CAYAAAB0IB+mAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\nOIkAAAAASUVORK5CYII=\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x112b72090>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Flipped Heads\n",
      "Heads / Total Flips: 6 / 17\n"
     ]
    },
    {
     "data": {
      "image/png": "iVBORw0KGgoAAAANSUhEUgAAAXwAAAD8CAYAAAB0IB+mAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\nAElFTkSuQmCC\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x112df5710>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Flipped Tails\n",
      "Heads / Total Flips: 6 / 18\n"
     ]
    },
    {
     "data": {
      "image/png": "iVBORw0KGgoAAAANSUhEUgAAAXwAAAD8CAYAAAB0IB+mAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\n0wAAAABJRU5ErkJggg==\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x112b72a10>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Flipped Tails\n",
      "Heads / Total Flips: 6 / 19\n"
     ]
    },
    {
     "data": {
      "image/png": "iVBORw0KGgoAAAANSUhEUgAAAXwAAAD8CAYAAAB0IB+mAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\nviQ1YfAlqQmDL0lNGHxJasLgS1IT/w1s63ombvk0zAAAAABJRU5ErkJggg==\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x112b42750>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Flipped Tails\n",
      "Heads / Total Flips: 6 / 20\n"
     ]
    },
    {
     "data": {
      "image/png": "iVBORw0KGgoAAAANSUhEUgAAAXwAAAD8CAYAAAB0IB+mAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x112023f50>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Flipped Tails\n",
      "Heads / Total Flips: 6 / 21\n"
     ]
    },
    {
     "data": {
      "image/png": "iVBORw0KGgoAAAANSUhEUgAAAXwAAAD8CAYAAAB0IB+mAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz\nAAALEgAACxIB0t1+/AAADUlJREFUeJzt3V+IpXd9x/H3p7sG6p8aMaPY3Ui2ZWNcqCk6RinSxop1\nN7lYBC8SxdCgLKFGvMxSqF54E5GCiNFlCUvwxr2oQde6mhaKRkjT7gRikk2ITFebbBSyRrEQoWHI\ntxdz2jkdd3eenXnmzGa+7xcMmec5v5nz3R+z7zyZmfMkVYUkafv7va0eQJI0GwZfkpow+JLUhMGX\npCYMviQ1YfAlqYk1g5/kWJLnkzxxgceT5MtJFpM8luSd448pSdqoIVf49wH7L/L4AWDv5O0Q8LWN\njyVJGtuawa+qB4FfXWTJQeDrtexh4MokbxlrQEnSOHaO8Dl2Ac9OHZ+dnPvF6oVJDrH8XwG85jWv\nedd11103wtNLUh+PPPLIL6tqbj0fO0bwB6uqo8BRgPn5+VpYWJjl00vSK16S/1zvx47xWzrPAVdP\nHe+enJMkXUbGCP4J4LbJb+u8F/hNVf3Ot3MkSVtrzW/pJPkGcCNwVZKzwOeAVwFU1RHgJHATsAj8\nFrh9s4aVJK3fmsGvqlvXeLyAT402kSRpU/hKW0lqwuBLUhMGX5KaMPiS1ITBl6QmDL4kNWHwJakJ\ngy9JTRh8SWrC4EtSEwZfkpow+JLUhMGXpCYMviQ1YfAlqQmDL0lNGHxJasLgS1ITBl+SmjD4ktSE\nwZekJgy+JDVh8CWpCYMvSU0YfElqwuBLUhMGX5KaMPiS1ITBl6QmDL4kNWHwJakJgy9JTRh8SWrC\n4EtSEwZfkpoYFPwk+5M8nWQxyeHzPP76JN9J8uMkp5PcPv6okqSNWDP4SXYA9wAHgH3ArUn2rVr2\nKeDJqroeuBH4+yRXjDyrJGkDhlzh3wAsVtWZqnoJOA4cXLWmgNclCfBa4FfA0qiTSpI2ZEjwdwHP\nTh2fnZyb9hXg7cDPgceBz1TVy6s/UZJDSRaSLJw7d26dI0uS1mOsH9p+CHgU+EPgT4GvJPmD1Yuq\n6mhVzVfV/Nzc3EhPLUkaYkjwnwOunjrePTk37Xbg/lq2CPwUuG6cESVJYxgS/FPA3iR7Jj+IvQU4\nsWrNM8AHAJK8GXgbcGbMQSVJG7NzrQVVtZTkTuABYAdwrKpOJ7lj8vgR4PPAfUkeBwLcVVW/3MS5\nJUmXaM3gA1TVSeDkqnNHpt7/OfBX444mSRqTr7SVpCYMviQ1YfAlqQmDL0lNGHxJasLgS1ITBl+S\nmjD4ktSEwZekJgy+JDVh8CWpCYMvSU0YfElqwuBLUhMGX5KaMPiS1ITBl6QmDL4kNWHwJakJgy9J\nTRh8SWrC4EtSEwZfkpow+JLUhMGXpCZ2bvUA0qxdc/i7G/4cP7v75hEmkWbLK3xJasLgS1ITBl+S\nmjD4ktSEwZekJgy+JDVh8CWpCYMvSU0MCn6S/UmeTrKY5PAF1tyY5NEkp5P8cNwxJUkbteYrbZPs\nAO4BPgicBU4lOVFVT06tuRL4KrC/qp5J8qbNGliStD5DrvBvABar6kxVvQQcBw6uWvNR4P6qegag\nqp4fd0xJ0kYNCf4u4Nmp47OTc9OuBd6Q5AdJHkly2/k+UZJDSRaSLJw7d259E0uS1mWsH9ruBN4F\n3Ax8CPi7JNeuXlRVR6tqvqrm5+bmRnpqSdIQQ+6W+Rxw9dTx7sm5aWeBF6rqReDFJA8C1wM/GWVK\nSdKGDbnCPwXsTbInyRXALcCJVWu+Dbwvyc4krwbeAzw17qiSpI1Y8wq/qpaS3Ak8AOwAjlXV6SR3\nTB4/UlVPJfk+8BjwMnBvVT2xmYNLki7NoP8BSlWdBE6uOndk1fEXgS+ON5okaUy+0laSmjD4ktSE\nwZekJgy+JDVh8CWpCYMvSU0YfElqwuBLUhMGX5KaMPiS1ITBl6QmDL4kNWHwJakJgy9JTRh8SWrC\n4EtSEwZfkpow+JLUhMGXpCYMviQ1YfAlqQmDL0lNGHxJasLgS1ITBl+SmjD4ktSEwZekJgy+JDVh\n8CWpCYMvSU0YfElqwuBLUhMGX5KaMPiS1ITBl6QmBgU/yf4kTydZTHL4IuvenWQpyUfGG1GSNIY1\ng59kB3APcADYB9yaZN8F1n0B+Kexh5QkbdyQK/wbgMWqOlNVLwHHgYPnWfdp4JvA8yPOJ0kayZDg\n7wKenTo+Ozn3f5LsAj4MfO1inyjJoSQLSRbOnTt3qbNKkjZgrB/afgm4q6pevtiiqjpaVfNVNT83\nNzfSU0uShtg5YM1zwNVTx7sn56bNA8eTAFwF3JRkqaq+NcqUkqQNGxL8U8DeJHtYDv0twEenF1TV\nnv99P8l9wD8ae0m6vKwZ/KpaSnIn8ACwAzhWVaeT3DF5/MgmzyhJGsGQK3yq6iRwctW584a+qv56\n42NJksbmK20lqQmDL0lNGHxJasLgS1ITBl+SmjD4ktSEwZekJgy+JDUx6IVX0liuOfzdDX38z+6+\neaRJpH68wpekJgy+JDVh8CWpCYMvSU0YfElqwuBLUhMGX5KaMPiS1ITBl6QmDL4kNWHwJakJgy9J\nTRh8SWrC4EtSEwZfkpow+JLUhMGXpCYMviQ1YfAlqQmDL0lNGHxJasLgS1ITBl+SmjD4ktSEwZek\nJgYFP8n+JE8nWUxy+DyPfyzJY0keT/JQkuvHH1WStBFrBj/JDuAe4ACwD7g1yb5Vy34K/EVV/Qnw\neeDo2INKkjZmyBX+DcBiVZ2pqpeA48DB6QVV9VBV/Xpy+DCwe9wxJUkbNST4u4Bnp47PTs5dyCeA\n753vgSSHkiwkWTh37tzwKSVJGzbqD22TvJ/l4N91vser6mhVzVfV/Nzc3JhPLUlaw84Ba54Drp46\n3j059/8keQdwL3Cgql4YZzxJ0liGXOGfAvYm2ZPkCuAW4MT0giRvBe4HPl5VPxl/TEnSRq15hV9V\nS0nuBB4AdgDHqup0kjsmjx8BPgu8EfhqEoClqprfvLElSZdqyLd0qKqTwMlV545Mvf9J4JPjjiZJ\nGpOvtJWkJgy+JDVh8CWpCYMvSU0YfElqwuBLUhMGX5KaMPiS1ITBl6QmDL4kNWHwJakJgy9JTRh8\nSWrC4EtSEwZfkpow+JLUhMGXpCYMviQ1YfAlqQmDL0lNGHxJasLgS1ITBl+SmjD4ktSEwZekJgy+\nJDVh8CWpCYMvSU0YfElqwuBLUhMGX5KaMPiS1ITBl6QmDL4kNWHwJamJQcFPsj/J00kWkxw+z+NJ\n8uXJ448leef4o0qSNmLnWguS7ADuAT4InAVOJTlRVU9OLTsA7J28vQf42uSfki7gmsPf3dDH/+zu\nm0eaRF0MucK/AVisqjNV9RJwHDi4as1B4Ou17GHgyiRvGXlWSdIGrHmFD+wCnp06PsvvXr2fb80u\n4BfTi5IcAg5NDv87yROXNO32dRXwy60e4jJx0b3IF2Y4yUXMaI5XxF7MiH9HVrxtvR84JPijqaqj\nwFGAJAtVNT/L579cuRcr3IsV7sUK92JFkoX1fuyQb+k8B1w9dbx7cu5S10iSttCQ4J8C9ibZk+QK\n4BbgxKo1J4DbJr+t817gN1X1i9WfSJK0ddb8lk5VLSW5E3gA2AEcq6rTSe6YPH4EOAncBCwCvwVu\nH/DcR9c99fbjXqxwL1a4FyvcixXr3otU1ZiDSJIuU77SVpKaMPiS1MSmB9/bMqwYsBcfm+zB40ke\nSnL9Vsw5C2vtxdS6dydZSvKRWc43S0P2IsmNSR5NcjrJD2c946wM+Dvy+iTfSfLjyV4M+XnhK06S\nY0mev9BrldbdzaratDeWf8j7H8AfAVcAPwb2rVpzE/A9IMB7gX/bzJm26m3gXvwZ8IbJ+wc678XU\nun9h+ZcCPrLVc2/h18WVwJPAWyfHb9rqubdwL/4W+MLk/TngV8AVWz37JuzFnwPvBJ64wOPr6uZm\nX+F7W4YVa+5FVT1UVb+eHD7M8usZtqMhXxcAnwa+CTw/y+FmbMhefBS4v6qeAaiq7bofQ/aigNcl\nCfBaloO/NNsxN19VPcjyn+1C1tXNzQ7+hW65cKlrtoNL/XN+guV/g29Ha+5Fkl3Ah1m+Ed92NuTr\n4lrgDUl+kOSRJLfNbLrZGrIXXwHeDvwceBz4TFW9PJvxLivr6uZMb62gYZK8n+Xgv2+rZ9lCXwLu\nqqqXly/mWtsJvAv4APD7wL8mebiqfrK1Y22JDwGPAn8J/DHwz0l+VFX/tbVjvTJsdvC9LcOKQX/O\nJO8A7gUOVNULM5pt1obsxTxwfBL7q4CbkixV1bdmM+LMDNmLs8ALVfUi8GKSB4Hrge0W/CF7cTtw\ndy1/I3sxyU+B64B/n82Il411dXOzv6XjbRlWrLkXSd4K3A98fJtfva25F1W1p6quqaprgH8A/mYb\nxh6G/R35NvC+JDuTvJrlu9U+NeM5Z2HIXjzD8n/pkOTNLN858sxMp7w8rKubm3qFX5t3W4ZXnIF7\n8VngjcBXJ1e2S7UN7xA4cC9aGLIXVfVUku8DjwEvA/dW1ba7tfjAr4vPA/cleZzl31C5q6q23W2T\nk3wDuBG4KslZ4HPAq2Bj3fTWCpLUhK+0laQmDL4kNWHwJakJgy9JTRh8SWrC4EtSEwZfkpr4H54W\nebQhxAODAAAAAElFTkSuQmCC\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x1125a0190>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Flipped Tails\n",
      "Heads / Total Flips: 6 / 22\n"
     ]
    },
    {
     "data": {
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      "text/plain": [
       "<matplotlib.figure.Figure at 0x112b80b90>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Flipped Tails\n",
      "Heads / Total Flips: 6 / 23\n"
     ]
    },
    {
     "data": {
      "image/png": "iVBORw0KGgoAAAANSUhEUgAAAXwAAAD8CAYAAAB0IB+mAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\nktSEwZekJgy+JDVh8CWpif8DhkJw3t/ypkYAAAAASUVORK5CYII=\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x112784fd0>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Flipped Tails\n",
      "Heads / Total Flips: 6 / 24\n"
     ]
    },
    {
     "data": {
      "image/png": "iVBORw0KGgoAAAANSUhEUgAAAXwAAAD8CAYAAAB0IB+mAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\nJgy+JDVh8CWpif8DZjJw3qmBb4wAAAAASUVORK5CYII=\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x1124f9610>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Flipped Tails\n",
      "Heads / Total Flips: 6 / 25\n"
     ]
    },
    {
     "data": {
      "image/png": "iVBORw0KGgoAAAANSUhEUgAAAXwAAAD8CAYAAAB0IB+mAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\nYfAlqQmDL0lN/B9mMnDedHeOPgAAAABJRU5ErkJggg==\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x1125a0f50>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Flipped Heads\n",
      "Heads / Total Flips: 7 / 26\n"
     ]
    },
    {
     "data": {
      "image/png": "iVBORw0KGgoAAAANSUhEUgAAAXwAAAD8CAYAAAB0IB+mAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\nSWrC4EtSEwZfkpr4P2YycN7wyo7RAAAAAElFTkSuQmCC\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x11263f350>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Flipped Tails\n",
      "Heads / Total Flips: 7 / 27\n"
     ]
    },
    {
     "data": {
      "image/png": "iVBORw0KGgoAAAANSUhEUgAAAXwAAAD8CAYAAAB0IB+mAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\nwZekJgy+JDXxf2YycN5MgAvrAAAAAElFTkSuQmCC\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x112228410>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Flipped Heads\n",
      "Heads / Total Flips: 8 / 28\n"
     ]
    },
    {
     "data": {
      "image/png": "iVBORw0KGgoAAAANSUhEUgAAAXwAAAD8CAYAAAB0IB+mAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\nL0lNGHxJasLgS1ITBl+Smvg/ZjJw3sNYN/kAAAAASUVORK5CYII=\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x112262710>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Flipped Heads\n",
      "Heads / Total Flips: 9 / 29\n"
     ]
    },
    {
     "data": {
      "image/png": "iVBORw0KGgoAAAANSUhEUgAAAXwAAAD8CAYAAAB0IB+mAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\nviQ1YfAlqYn/A7i7btXn1JI8AAAAAElFTkSuQmCC\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x112262cd0>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Flipped Tails\n",
      "Heads / Total Flips: 9 / 30\n"
     ]
    },
    {
     "data": {
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      "text/plain": [
       "<matplotlib.figure.Figure at 0x1122298d0>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "params  = np.array([0.4, 0.5, 0.6])\n",
    "priors = np.array([0.1, 0.8, 0.1])\n",
    "heads = 0\n",
    "secret_truth = 0.4\n",
    "\n",
    "for i in range(1,31):\n",
    "    # flip a coin\n",
    "    r = random.uniform(0, 1)\n",
    "    if r < secret_truth:\n",
    "        heads += 1\n",
    "        print \"Flipped Heads\"\n",
    "    else:\n",
    "        print \"Flipped Tails\"\n",
    "    \n",
    "    print \"Heads / Total Flips:\",heads,'/',i\n",
    "    \n",
    "    likelihood = np.multiply(np.power(params,heads),np.power(1-params,i-heads))\n",
    "    posterior = np.multiply(likelihood,priors)\n",
    "    \n",
    "    # normalization\n",
    "    posterior = posterior / float(sum(posterior))\n",
    "    \n",
    "    # plotting\n",
    "    plt.bar(params,posterior,width=0.05)\n",
    "    plt.xlim([0,1])\n",
    "    plt.ylim([0,1])\n",
    "    plt.show()"
   ]
  }
 ],
 "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": "3.5.2"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 2
}