ROULETTE Yasmina, Phoebe, and Roshen

Project Overview The Question Background Information Roulette Rules Our Model Verification and Validation Answering our Question

What we wanted to know Our questions Why should we care? What is the probability, over a certain period of time, that the house will win at roulette? How many bets are needed for the house to gain money? Why should we care? Gambling addiction Simulate gambling

Background information Originated in France (17th century) Popular Game

Rules of Roulette Eight Players Thirty-Eight Numbers Strategies Payouts vary for each strategy Croupier (dealer, represents house)

The Code

The Code (cont.)

Verification

Verification (cont.)

Validation Big tip: Don't challenge the mathematical advantage of the casino. You cannot eliminate or change it and you don't need to. It is not your adversary unless you choose to make it that way and you will lose - slowly but surely. It is relatively small considering the sums of money that can be won or lost in a very short space of time. To the casino: 1. The player's natural greed for money 2. The player's lack of self-discipline and Time (the longer you play the higher the chances that you hit a streak of bad luck and run out of money). www.online-casino-statistics-.com

Validation (cont.) The house advantage On a double zero roulette table it is 5.26% (7.9% on the five-number bet, 0-00-1-2-3). The house advantage is gained by paying the winners a chip or two (or a proportion of it) less than what it should have been if there was no advantage. Casinoroulette.com

The Answer Though individuals may win for a short period of time, the house will eventually win in the long run. In fact, the odds are set in favor of the house. After many bets (we used 10,000,000), the house gains money.

References Royalsafaricasino.com 007casinohouse.com Casinoroullette.com Casinoroulette.com