ROULETTE

1
ROULETTE

Yasmina, Phoebe, and Roshen
2
Project Overview

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

3
What we wanted to know

• Our questions
• 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

4
Background information

• Originated in France (17th century)
• Popular Game

5
Rules of Roulette

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

6
The Code
7
The Code (cont.)
8
Verification
9
Verification (cont.)
10
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

11
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
12
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.

13
References

• Royalsafaricasino.com
• 007casinohouse.com
• Casinoroullette.com
• Casinoroulette.com