Roulette Simulation

Roulette Simulation.ipynb

{
 "cells": [
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   "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\")"
   ]
  }
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