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March 24, 2020 17:15
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This file contains hidden or bidirectional Unicode text that may be interpreted or compiled differently than what appears below. To review, open the file in an editor that reveals hidden Unicode characters. Learn more about bidirectional Unicode charactersOriginal file line number Diff line number Diff line change @@ -0,0 +1,134 @@ { "cells": [ { "cell_type": "markdown", "metadata": {}, "source": [ "# Roulette Simulation" ] }, { "cell_type": "code", "execution_count": 32, "metadata": {}, "outputs": [], "source": [ "import numpy as np" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "# Definition of simulation function" ] }, { "cell_type": "code", "execution_count": 64, "metadata": {}, "outputs": [], "source": [ "def roulette_simul(number,bet, n_simulations):\n", " for i in range(3):\n", " return_count = 0\n", " count = 0\n", " for i in range(n_simulations):\n", " s = np.random.randint(1,37)\n", " if s == number:\n", " count = count + 1\n", "\n", " return_count = -1*n_simulations + count*36 \n", " expected_return = return_count/n_simulations\n", " print(\"The expected return of betting at number {}, {} times is : {}% \".format(number,n_simulations,np.round(expected_return*100,2)))" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "# Simulation" ] }, { "cell_type": "code", "execution_count": 68, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "The expected return of betting at number 7, 2 times is : -100.0% \n", "The expected return of betting at number 7, 2 times is : -100.0% \n", "The expected return of betting at number 7, 2 times is : -100.0% \n", "\n", "\n", "The expected return of betting at number 7, 5 times is : -100.0% \n", "The expected return of betting at number 7, 5 times is : -100.0% \n", "The expected return of betting at number 7, 5 times is : -100.0% \n", "\n", "\n", "The expected return of betting at number 7, 10 times is : -100.0% \n", "The expected return of betting at number 7, 10 times is : -100.0% \n", "The expected return of betting at number 7, 10 times is : 260.0% \n", "\n", "\n", "The expected return of betting at number 7, 20 times is : 80.0% \n", "The expected return of betting at number 7, 20 times is : 80.0% \n", "The expected return of betting at number 7, 20 times is : -100.0% \n", "\n", "\n", "The expected return of betting at number 7, 100 times is : -28.0% \n", "The expected return of betting at number 7, 100 times is : 8.0% \n", "The expected return of betting at number 7, 100 times is : 8.0% \n", "\n", "\n", "The expected return of betting at number 7, 1000 times is : 8.0% \n", "The expected return of betting at number 7, 1000 times is : 15.2% \n", "The expected return of betting at number 7, 1000 times is : -31.6% \n", "\n", "\n", "The expected return of betting at number 7, 10000 times is : 1.52% \n", "The expected return of betting at number 7, 10000 times is : 2.6% \n", "The expected return of betting at number 7, 10000 times is : 0.8% \n", "\n", "\n", "The expected return of betting at number 7, 1000000 times is : -0.28% \n", "The expected return of betting at number 7, 1000000 times is : 0.22% \n", "The expected return of betting at number 7, 1000000 times is : -0.75% \n", "\n", "\n" ] } ], "source": [ "simulation_list = [2,5,10,20,100,1000,10000,1000000]\n", "for n_simuls in simulation_list:\n", " roulette_simul(7,1,n_simuls)\n", " print(\"\\n\")" ] } ], "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 }