Roulette Probabilities

Roulette Probabilities

Roulette is a simple game played in most casinos, it contains a fixed set of probabilities with no real skill required to play the game.
In most parts of the world the roulette wheels have 36 numbers, one 0 and two 00, overall 38.
At the Europe wheel there are the same numbers, 1 through 36, but only a single 0.

Let’s have a look on the American Wheel:

We suppose you are betting on black. 18 of the 36 numbers of the roulette table are red and the other 18 are black. Only the 0 and 00 are green. On average, you will win 18 times out of 38, or your probability of winning is 18/38 = 9/19 = 0,474 which is slightly less than half.

Another typical 2:1 bet is to bet on a group of 12 numbers, you can do this by betting on a column of numbers. So overall you will win 12 times out of the 38 possible, for a probability of winning of 12/38 = 6/19 = 0,316.

You can calculate it for any other probability the same way. Just sum up how many of the results represent the win, and divide that by 38, on the European Wheel you divide it by 37. Multiply that value with 100 and you have the percentage.

If you only bet on a single number and the ball lands on that one, then you win with a ratio of 35 to 1. This happens once in 38 times / 37 times, but some people got very rich through this just having a lucky day.

Overall the house advantage is at around 5,2%, if you learn the betting strategies and tricks at roulette [link] you might be able to beat the bank almost daily!
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