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Peter Sommer In this article, we'll break down the different types of bets in roulette and explain the odds and probabilities associated with each. Whether you're a seasoned player looking to improve your strategy or a beginner trying to get a handle on the basics, this guide to roulette odds will help you make more informed betting decisions and increase your chances of winning.
Before we break right to the odds of roulette, we have to establish what is the difference between American or European roulette. Because this is really important. Both types have the same roulette rules, but they have different odds of winning.
American vs. European roulette
The main difference between American and European roulette is the number of pockets on the roulette wheel. American roulette has 38 pockets, numbered 1 through 36 plus a 0 pocket and a 00 pocket. European roulette, on the other hand, has 37 pockets, numbered 1 through 36 plus a single 0 pocket.
This difference in the number of pockets affects the odds of winning and the house edge. The extra 00 pocket in American roulette increases the house edge, making it slightly less favorable for players compared to European roulette. In European roulette, the house edge is 2.70%, while in American roulette, it is 5.26%.
Another minor difference between the two versions is the layout of the betting table. The layout in American roulette has an additional betting option for the 00 pockets, while in European roulette, the betting options only include the single 0 pockets. This difference in the layout does not affect the gameplay or the odds of winning in roulette.
American Roulette Odds
| Type of Bet | Description | Payout | Odds |
|---|---|---|---|
| Straight up | Betting on a single number | 35:1 | 1/38 or 2.63% |
| Split | Betting on two adjacent numbers | 17:1 | 2/38 or 5.26% |
| Street | Betting on three numbers in a row | 11:1 | 3/38 or 7.89% |
| Corner | Betting on four numbers that meet at one corner | 8:1 | 4/38 or 10.53% |
| Five number | Betting on the numbers 0, 00, 1, 2, and 3 | 6:1 | 5/38 or 13.16% |
| Line | Betting on six numbers in two adjacent rows | 5:1 | 6/38 or 15.79% |
| Column | Betting on all 12 numbers in a vertical column | 2:1 | 12/38 or 31.58% |
| Dozen | Betting on the first (1-12), second (13-24), or third (25-36) group of 12 numbers | 2:1 | 12/38 or 31.58% |
| Red or black | Betting on all red or all black numbers | 1:1 | 18/38 or 47.37% |
| Even or odd | Betting on all even or all odd numbers | 1:1 | 18/38 or 47.37% |
| High or low | Betting on all numbers 1-18 or 19-36 | 1:1 | 18/38 or 47.37% |
European Roulette Odds
| Type of Bet | Description | Payout | Odds |
|---|---|---|---|
| Straight up | Betting on a single number | 35:1 | 1/37 or 2.70% |
| Split | Betting on two adjacent numbers | 17:1 | 2/37 or 5.41% |
| Street | Betting on three numbers in a row | 11:1 | 3/37 or 8.11% |
| Corner | Betting on four numbers that meet at one corner | 8:1 | 4/37 or 10.81% |
| Six line | Betting on six numbers in two adjacent rows | 5:1 | 6/37 or 16.22% |
| Column | Betting on all 12 numbers in a vertical column | 2:1 | 12/37 or 32.43% |
| Dozen | Betting on the first (1-12), second (13-24), or third (25-36) group of 12 numbers | 2:1 | 12/37 or 32.43% |
| Red or black | Betting on all red or all black numbers | 1:1 | 18/37 or 48.65% |
| Even or odd | Betting on all even or all odd numbers | 1:1 | 18/37 or 48.65% |
| High or low | Betting on all numbers 1-18 or 19-36 | 1:1 | 18/37 or 48.65% |
Formulas How to Calculate Odds and Probability on Roulette
Here are a few commonly used formulas:
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Probability of Winning a Straight Up Bet: The probability of winning a straight up bet (betting on a single number) in roulette can be calculated using the following formula: P(Straight Up) = 1 / N Where N is the total number of pockets on the roulette wheel (37 for European roulette, 38 for American roulette).
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Probability of Winning an Outside Bet (Red/Black, Even/Odd, Low/High): The probability of winning an outside bet in roulette (such as betting on red or black, even or odd, low or high) is calculated as: P(Outside Bet) = Number of Winning Outcomes / Total Number of Outcomes For example, in European roulette, there are 18 red pockets, so the probability of winning a red bet would be 18 / 37.
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Probability of Winning a Split Bet: The probability of winning a split bet (betting on two adjacent numbers) in roulette is calculated as: P(Split) = 2 / N Where N is the total number of pockets on the roulette wheel (37 for European roulette, 38 for American roulette).
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Probability of Winning a Street Bet: The probability of winning a street bet (betting on three consecutive numbers in a row) can be calculated as: P(Street) = 3 / N Where N is the total number of pockets on the roulette wheel (37 for European roulette, 38 for American roulette).
These formulas provide a basic understanding of how to calculate the probability for specific types of bets in roulette. Keep in mind that these formulas assume a fair and unbiased roulette wheel.
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