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@jaimezorno
Created March 23, 2020 18:48
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Coin toss simulation for Medium article
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{
"cells": [
{
"cell_type": "markdown",
"metadata": {},
"source": [
"# Coin tossing simulation"
]
},
{
"cell_type": "code",
"execution_count": 17,
"metadata": {},
"outputs": [],
"source": [
"import numpy as np"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## Definition of simulation function"
]
},
{
"cell_type": "code",
"execution_count": 14,
"metadata": {},
"outputs": [],
"source": [
"def coin_toss_simul(n_simulations):\n",
" heads = 0\n",
" for i in range(n_simulations):\n",
" s = np.random.uniform(0,1)\n",
" if s >= 0.5:\n",
" heads = heads + 1\n",
" \n",
" print(\"There were {} heads out of {} simulations\".format(heads,n_simulations))\n",
" print(\"You won {}% of the times\".format(heads/n_simulations*100))\n",
" print(\"\\n\") "
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## Simulation"
]
},
{
"cell_type": "code",
"execution_count": 16,
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"There were 2 heads out of 2 simulations\n",
"You won 100.0% of the times\n",
"\n",
"\n",
"There were 3 heads out of 5 simulations\n",
"You won 60.0% of the times\n",
"\n",
"\n",
"There were 2 heads out of 10 simulations\n",
"You won 20.0% of the times\n",
"\n",
"\n",
"There were 8 heads out of 20 simulations\n",
"You won 40.0% of the times\n",
"\n",
"\n",
"There were 28 heads out of 50 simulations\n",
"You won 56.00000000000001% of the times\n",
"\n",
"\n",
"There were 39 heads out of 100 simulations\n",
"You won 39.0% of the times\n",
"\n",
"\n",
"There were 262 heads out of 500 simulations\n",
"You won 52.400000000000006% of the times\n",
"\n",
"\n",
"There were 493 heads out of 1000 simulations\n",
"You won 49.3% of the times\n",
"\n",
"\n",
"There were 5028 heads out of 10000 simulations\n",
"You won 50.28% of the times\n",
"\n",
"\n",
"There were 49942 heads out of 100000 simulations\n",
"You won 49.942% of the times\n",
"\n",
"\n",
"There were 499967 heads out of 1000000 simulations\n",
"You won 49.9967% of the times\n",
"\n",
"\n"
]
}
],
"source": [
"simulation_list = [2,5,10,20,50,100,500,1000,10000,100000,1000000]\n",
"for n_simuls in simulation_list:\n",
" coin_toss_simul(n_simuls)"
]
}
],
"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": "3.7.3"
}
},
"nbformat": 4,
"nbformat_minor": 2
}
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