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Roulette probabilities, odds and statistics

On this page we shall deal with the mathematical probabilities and statistics of roulette. Is important to know first the Following point: The roulette ball has no MEMORY - so it can theoretically play the same colour 100 times successively. However, the probability of this is very low longer period. A player who has classic roulette strategies in mind, such as simply betting to double in case of loss and always to bet on the same colour, please be warned that there are the so - called table limits.

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The probabilities for the French Roulette

The French roulette field consists of 37 numbers. There are the numbers 1 to 36 + the green zero (zero). Malthus, there are 18 red or black, Rouge and Noir. There are 18 odd and even (Pair and Impair) numbers and 18 numbers divided into low and high halves of the Manque and yoke (1-18 or 19-38).

In synthesis "easy chances" (red or black / even or odd / low or high) is the chance to win at 18/37 or 48.6 %. A "simple chance" doubles your win. The zero ensures the casino's house edge. Should you THEREFORE always bet on red and black, then the statistics state your chance to lose is one of 37 games.

A peculiarity of many casinos in the French version is 'that' in the case of the use of zero is gone immediately. It is frozen (at the easy chances ) and in the next round it is played again (example: If you put on red, there is a zero, If play red in the next round again - you win and your wager is returned, in a black number you lose ) or share your stake (through the zero case, you can share your application Directly - bet 20, - EUR and get 10, - EUR back direct, the other 10 - EUR is retained at the bank). This effect offers the casino a statistically higher expected value from 98.65 EUR to 100, - EUR.

But it is important to know it is not done by all casinos who play by the french version so fair synthesis methods!

Odds for individual opportunities (French)

Bet Fields (Number) Winning rate
Simple Chance 18 48.6%
Douzaines, Colonnes 12 32.4%
Transversale simple 6 16.2%
Carré 4 10.8%
Transversale pleine 3 8.1%
Cheval 2 5.4%
Plein 1 2.7%

Probability of sequences for individual opportunities (French)

The probability of sequences, for example, red or black is always at 48.6 % (eg 18/37 ). While it is theoretically possible that there are sequences of black or red 10 times in succession, the probability is always the same, since the wheel is always randomly spun and the ball lands on a number.

Important to know when it comes to sequences on individual opportunities is:

Although the chance that a colour (eg red ) falls 6 times the statistic is just 1.3% = (18 /37) ^ 6 but it is equally unlikely that first of all a red falls and then the black falls five times.

Examples of probabilities at the French Roulette

The probabilities in the American Roulette

The probabilities in the American roulette are inherently lower than in French Roulette. This is because the "double zero" is played here. (See also our text above, zero in roulette). Due to the number added there are now a total of 38 fields, which now reduces the probability of winning, and increases the house advantage of the casino. Also, there is no bonus for a second chance in the case of a zero in American roulette. Thus, the expected value is only 94.70 EUR to 100, - EUR.

Odds for individual opportunities (American)

Bet Field (Number) Winning rate
Simple Chance 18 47,3%
Douzaines, Colonnes 12 31.6%
Transversale simple 6 15.8%
Carré 4 10.5%
Transversale pleine 3 7.9%
Cheval 2 5.3%
Plein 1 2.6%

Probability of sequences for individual opportunities (American)

Also the probability of sequences in American Roulette is 47.3% less than in French Roulette (18/38).

Examples of sequences for American Roulette

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