After trying several roulette variations, you will notice that they all follow the same basic rules. However, there is one major difference between European and American roulette that every player should understand because it affects the house edge.
The game begins when the croupier spins the wheel in one direction and tosses a small ball in the opposite direction. Roulette wheels contain numbered pockets, but the total number of pockets on the European and American wheels differs.
The European roulette wheel features 37 pockets (1 to 36 and a single-zero pocket), while the American version is played on a wheel with 38 pockets (1 to 36, a single-zero pocket, and a double-zero pocket). The numbered pockets on both wheels alternate between red and black, while the zero pockets are green.
In addition to the extra zero pocket, another notable difference between European and American roulette is the sequence of numbers on the wheel. The arrangement of the numbers on the European roulette wheel is not random. Using the zero pocket as a reference point, the left side of the wheel features low black and high red numbers, while the right side features high black and low red numbers.
Sequence of the numbers on the European roulette wheel: 0, 32, 15, 19, 4, 21, 2, 25, 17, 34, 6, 27, 13, 36, 11, 30, 8, 23, 10, 5, 24, 16, 33, 1, 20, 14, 31, 9, 22, 18, 29, 7, 28, 12, 35, 3, 26.
Sequence of the numbers on the American roulette wheel: 0, 28, 9, 26, 30, 11, 7, 20, 32, 17, 5, 22, 34, 15, 3, 24, 36, 13, 1, 00, 27, 10, 25, 29, 12, 8, 19, 31, 18, 6, 21, 33, 16, 4, 23, 35, 14, 2.
At first glance, the extra zero pocket on the American roulette wheel may not seem significant. However, examining the mathematics behind the two variations reveals how it affects the house edge.
View more...To understand the house edge, we must first clarify the concepts of probability and true odds. Probability represents the likelihood of a specific outcome among all possible outcomes. For example, if you play European roulette and bet on a single number, there is only 1 way to win among 37 possible outcomes. Therefore, the probability of winning the bet is 1/37. To express this as a percentage, divide 1 by 37 and multiply the result by 100: (1/37) x 100 = 2.70%.
Probability and odds are different concepts. The odds compare all possible ways to win with all possible ways to lose. In European roulette, the odds in favor of winning a bet on a single number are 1:36 because there is 1 way to win and 36 ways to lose.
These are the true odds, but the casino pays 35:1 for a winning straight-up bet. This difference creates the house edge. You can use the same information to calculate the odds and probabilities associated with other roulette bets.
To calculate the house edge, compare the fair payout with the casino payout, then multiply the difference by the probability of winning. For a straight-up bet, the house edge in European roulette is (36/1 – 35/1) x 1/37 = 1 x 0.0270. Converting the result to a percentage gives 0.0270 x 100 = 2.70%.
If you play American roulette and place the same straight-up bet, the probability and odds change because of the additional double-zero pocket. The probability of winning is 1/38, and the odds in favor are 1:37, while the casino payout remains 35:1. The house edge is therefore (37/1 – 35/1) x 1/38 = 2 x 0.0263 = 0.0526, or 0.0526 x 100 = 5.26%.
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