Skip to content

Instantly share code, notes, and snippets.

@Jessime
Created November 5, 2016 22:00
Show Gist options
  • Star 0 You must be signed in to star a gist
  • Fork 0 You must be signed in to fork a gist
  • Save Jessime/2aa5f192c315c02811fac02f3c52d2d0 to your computer and use it in GitHub Desktop.
Save Jessime/2aa5f192c315c02811fac02f3c52d2d0 to your computer and use it in GitHub Desktop.
My results for:
Display the source blob
Display the rendered blob
Raw
{
"cells": [
{
"cell_type": "markdown",
"metadata": {},
"source": [
"# Setup"
]
},
{
"cell_type": "code",
"execution_count": 83,
"metadata": {
"collapsed": false
},
"outputs": [],
"source": [
"from math import factorial, pi, sqrt"
]
},
{
"cell_type": "code",
"execution_count": 120,
"metadata": {
"collapsed": true
},
"outputs": [],
"source": [
"import matplotlib.pyplot as plt\n",
"from matplotlib import ticker\n",
"plt.style.use('seaborn-whitegrid')\n",
"colors = [i['color'] for i in plt.rcParams['axes.prop_cycle']]"
]
},
{
"cell_type": "code",
"execution_count": 91,
"metadata": {
"collapsed": true
},
"outputs": [],
"source": [
"%matplotlib inline"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"# Doing Math"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"I cheated a little bit and did some research. This reddit thread explains what's going on pretty well:\n",
"\n",
"https://www.reddit.com/r/askscience/comments/3hp4ig/if_i_flip_a_coin_1000000_times_what_are_the_odds/?st=iv5mshuk&sh=371922cd"
]
},
{
"cell_type": "code",
"execution_count": 84,
"metadata": {
"collapsed": true
},
"outputs": [],
"source": [
"def calc(n):\n",
" m = n/2\n",
" p = .5**m * .5**(m) * factorial(n)/(factorial(m)**2)\n",
" return p\n",
"\n",
"def approximate(n):\n",
" return 1/sqrt(pi*(n/2))\n",
"\n",
"def percent_prob_of_deciding(n):\n",
" p = calc(n) if n < 100 else approximate(n)\n",
" return p*100"
]
},
{
"cell_type": "markdown",
"metadata": {
"collapsed": false
},
"source": [
"First let's just do a few small numbers, then do another set at a larger scale."
]
},
{
"cell_type": "code",
"execution_count": 131,
"metadata": {
"collapsed": true
},
"outputs": [],
"source": [
"Ns_small = range(2, 12, 2)\n",
"percents_small = [percent_prob_of_deciding(n) for n in Ns_small]"
]
},
{
"cell_type": "code",
"execution_count": 132,
"metadata": {
"collapsed": false
},
"outputs": [],
"source": [
"Ns_big = range(2, int(1E6), 20)\n",
"percents_big= [percent_prob_of_deciding(n) for n in Ns_big]"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"# Plotting"
]
},
{
"cell_type": "code",
"execution_count": 133,
"metadata": {
"collapsed": false
},
"outputs": [
{
"data": {
"image/png": "iVBORw0KGgoAAAANSUhEUgAAAiAAAAGXCAYAAACKrutMAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\nrkJggg==\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x7fed219f9550>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"plt.plot(Ns_small, percents_small, linewidth=4, color=colors[2])\n",
"plt.title('Your Chance of Deciding the Election', fontsize=20)\n",
"plt.ylabel('Chance (%)', fontsize=18)\n",
"plt.xlabel('State Population (N)', fontsize=18)\n",
"plt.show()"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"Now let's \"zoom out\" and see how the trend continues (We'll do with with a log scale plot.)"
]
},
{
"cell_type": "code",
"execution_count": 134,
"metadata": {
"collapsed": false
},
"outputs": [
{
"data": {
"image/png": "iVBORw0KGgoAAAANSUhEUgAAAjsAAAGXCAYAAABV4JFTAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\nTkSuQmCC\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x7fed21f9e400>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"a = plt.loglog(Ns_big, percents_big, linewidth=4)\n",
"ax = plt.gca()\n",
"\n",
"ax.yaxis.set_major_formatter(ticker.ScalarFormatter())\n",
"ax.yaxis.set_major_formatter(ticker.FormatStrFormatter('%d'))\n",
"ax.yaxis.set_major_formatter(ticker.FuncFormatter(lambda x, pos: str(int(round(x)))))\n",
"ax.xaxis.set_major_formatter(ticker.ScalarFormatter())\n",
"ax.xaxis.set_major_formatter(ticker.FormatStrFormatter('%d'))\n",
"ax.xaxis.set_major_formatter(ticker.FuncFormatter(lambda x, pos: str(int(round(x))))) \n",
"\n",
"plt.title('Your Chance of Deciding the Election', fontsize=20)\n",
"plt.ylabel('Chance (%)', fontsize=18)\n",
"plt.xlabel('State Population (N)', fontsize=18)\n",
"\n",
"plt.show()"
]
},
{
"cell_type": "markdown",
"metadata": {
"collapsed": true
},
"source": [
"# Conclusion"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"Your vote matters! I guess..."
]
}
],
"metadata": {
"anaconda-cloud": {},
"kernelspec": {
"display_name": "Python [conda env:py35]",
"language": "python",
"name": "conda-env-py35-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": "3.5.2"
},
"toc": {
"nav_menu": {
"height": "12px",
"width": "252px"
},
"navigate_menu": true,
"number_sections": true,
"sideBar": true,
"threshold": 4,
"toc_cell": false,
"toc_section_display": "block",
"toc_window_display": false
}
},
"nbformat": 4,
"nbformat_minor": 1
}
Sign up for free to join this conversation on GitHub. Already have an account? Sign in to comment