# Roulette Probability/Statistics

Roulette is a simple game played in most casinos around the world. It contains a fixed set of probabilities with no real skill required to play the game.

There a two styles a roulette tables, one with a single zero and the other with two zero. We will examine the probabily of both tables.

Single Zero Roulette Table

There are a total of 37 different possible outcomes and each outcome is independant of the previous one.

 Aim Successful Not Successful Single Number 2.70%(1/37) 97.30%(36/37) Two Numbers 5.41%(2/37) 94.59%(35/37) Three NumbersA Row 8.11%(3/37) 91.89%(34/37) Four Numbers 10.81%(4/37) 89.19%(33/37) Six NumbersTwo Rows 16.22%(6/37) 83.78%(31/37) Nine NumbersThree Rows 24.32%(9/37) 75.68%(28/37) Twelve NumbersFour RowsA ColumnA Third 32.43%(12/37) 67.57%(25/37) Eighteen NumbersBlack or RedEven or OddHigh or Low 48.65%(18/37) 51.35%(19/37)

Double Zero Roulette Table

There are a total of 38 different possible outcomes and each outcome is independant of the previous one.

 Aim Successful Not Successful Single Number 2.63%(1/38) 97.37%(37/38) Two Numbers 5.26%(2/38) 94.74%(36/38) Three NumbersA Row 7.89%(3/38) 92.11%(35/38) Four Numbers 10.53%(4/38) 89.47%(34/38) Six NumbersTwo Rows 15.79%(6/38) 84.21%(32/38) Nine NumbersThree Rows 23.68%(9/38) 76.32%(29/38) Twelve NumbersFour RowsA ColumnA Third 31.58%(12/38) 68.42%(26/38) Eighteen NumbersBlack or RedEven or OddHigh or Low 47.37%(18/38) 52.63%(20/38)

How Casinos Make Their Money

Simply put, a casino makes its money by paying you back a value less than your true probability of winning is.

As an example if you bet on a single number your chances of winning is 1 in 37 or 1 in 38 (depending on the table). However the casino will only pay out to you 35 to 1 or 36 to 1.

A second example would be if you placed a \$10 bet on red and win the casino will give back to you \$20. However the probably of a red appearing is 18 in 37 or 18 in 38 (again depending on the table) which means to provide a fair payout for your bet you should have been paid approximately \$20.56 or \$21.11 respectively.

By payout out less than what the true odds dictate, the casino obtains the favourable monetary balance.