Discrete Probability Distributions — Grinstead & Snell
Mathematics — Probability · simulation-discrete-probabilities
Problem
In Las Vegas, a roulette wheel has 38 slots numbered 0,00,1,2,…,36. The 0 and 00 slots are green and half of the remaining 36 slots are red and half are black. A croupier spins the wheel and throws in an ivory ball. If you bet 1 dollar on red, you win 1 dollar if the ball stops in a red slot and otherwise you lose 1 dollar. Write a program to find the total winnings for a player who makes 1000 bets on red.