Roulette Betting Odds
| Updated: Roulette Odds Explained
Roulette has always attracted casino enthusiasts hoping for large payouts, as it is a game that offers high potential returns. If you ask someone to name a casino game, they will likely mention roulette, which is popular in many countries. Roulette is a game in which the house has an edge, but luck also plays a major role. When the croupier releases the ball, no strategy can influence where it will land.
The spinning device is a wheel consisting of divisions, also called pockets. The structure has become so iconic that even those who have never visited a casino may instantly recognize the game. Thanks to its straightforward rules, the game has gained immense popularity worldwide across land-based and online gambling venues, attracting both seasoned players and complete novices. Nowadays, many people prefer playing online roulette to visiting land-based casinos. This allows them to focus on their strategy and betting system without being distracted by noise or feeling rushed to place their bets.
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The main objective of the game is to place the correct bet and predict where the ball will land. Players place their chips on the betting layout and wait for the dealer to announce the winning number. Please note that to calculate your potential return, you need to know which table you are playing at and its specific rules. Although roulette variants share similar rules, subtle differences can affect the odds and payouts.
This guide provides important information about the unpredictability of each roulette round and the mathematics behind the popular game. It explains probability and odds in all variations of roulette, as well as the meaning of the house edge.
Why Are Roulette Spins Unpredictable?
Roulette has been a casino staple for more than a century, and its popularity has not diminished. Today, it is one of the most widely played games in both online and brick-and-mortar casinos.
Many factors draw players to roulette tables, but the game’s enduring popularity is primarily due to its simplicity. Still, many gambling enthusiasts wonder whether the outcomes of previous rounds influence subsequent spins of the wheel. Contrary to what some players believe, roulette is a game of independent events, and the following example explains why.
Take a coin toss, for example. Even if you flip the coin ten times and get tails every time, that does not mean the next flip will also be tails. Some people believe the coin will “correct” itself and land on heads, but that is not necessarily the case.
Many players are guided by the so-called law of averages and the law of large numbers. The law of averages is the mistaken belief that results must balance out over a short period. The law of large numbers states that as the sample size grows, actual outcomes tend to approach the mathematical probability.
The second concept may sound confusing, so consider the coin example again, where heads is expected 50% of the time. Over a small number of flips, you might observe heads 0% or even 100% of the time. Over many tosses, however, the percentage tends to move closer to 50%.
Now, consider the roulette wheel and assume that the white ball has landed in red pockets four times in a row. Some players may believe red will appear again because it is “hot,” while others will bet on black because it is “due.” This reasoning might make sense to some, but it fails to account for the fact that outcomes from previous rounds do not influence the present odds. The roulette wheel does not remember what happened in the past.
Regardless of how many even-money bets a player has made or how often those bets have won or lost, the probability of winning an even-money bet remains 48.65% in European roulette and 47.37% in American roulette. Since roulette consists of independent events, past spins cannot determine what will happen next, and the probability of red appearing remains unchanged.
Roulette is a game of chance made up of a series of unrelated events. Each time the wheel is spun, the probabilities remain the same unless the wheel is physically biased.
Believing that a number is “due,” players often increase or double their bets, which can quickly drain their bankroll. Betting based on perceived patterns may be less harmful only if players keep their wager size constant.
Calculations in Roulette
To understand how odds are calculated, players should first know that there are three main types of roulette games, while roulette wheels fall into two categories. The game originated in France and later developed into the European and American variants. French and European roulette share almost identical rules and use the same wheel. The American version, however, introduced changes that favor the house.
When roulette first reached the United States, casino managers were unhappy with its modest house profit. To increase revenue, they added a double-zero pocket, raising the house edge to 5.26%. In contrast, the European version has only a single-zero pocket, which is more advantageous for the player. Thanks to its lower house edge of 2.70% and the slightly higher probability of winning equivalent bets, players often prefer European and French tables to their double-zero counterparts.
Explaining the Term “Probability”
To help players understand probability in roulette, consider a simple real-life example. In a coin-flip game, the chances of winning are the same as the chances of losing. The coin has two sides representing two different outcomes: heads or tails. If you bet on heads, you are choosing one of the two possibilities. Thus, the probability of winning is 1 out of 2, or 1/2.
Based on this example, the term “probability” relates to two numbers. The first shows the number of ways the event can occur, and the second shows the total number of possible outcomes. These can be converted into percentages by dividing the first number by the second and multiplying by 100. If we denote the first number as X and the second as Y, the formula is X / Y × 100. In this case, 1 / 2 = 0.5, and 0.5 × 100 = 50%. Therefore, the probability of heads is 50%.
Probability in All Variations of Roulette
Probability describes the number of possible outcomes that are favorable to the player compared with the total number of possible outcomes. This knowledge can now be applied to roulette. European and French wheels have 37 numbers. If you place a straight-up bet on one number, you calculate the probability of your chosen number appearing by dividing one winning outcome by all 37 possible outcomes. This means 1 / 37 = 0.027 × 100 = 2.70%. If you bet on two numbers, you have 2 chances to win out of 37 possible outcomes, which equals 5.41%.
The American roulette table is less favorable to the player, although this may not be obvious to beginners. The calculations show why American roulette offers lower winning probabilities for equivalent bets. The American wheel has 38 pockets. To compare the probabilities in both variations, consider the same bets used in the European roulette example. If you bet on one number, you have 1 chance to win out of 38. Expressed as a percentage, this means 1 / 38 = 0.026 × 100 = 2.63%. If you place a bet on two numbers, the calculation is 2 / 38 = 0.053 × 100 = 5.26%.
| Roulette Win Probability | ||
|---|---|---|
| Bet Name | European Roulette | American Roulette |
| High / Low Bet | 48.65% | 47.37% |
| Red / Black Bet | 48.65% | 47.37% |
| Odd / Even Bet | 48.65% | 47.37% |
| Dozen Bet | 32.43% | 31.58% |
| Column Bet | 32.43% | 31.58% |
| Six Line Bet | 16.22% | 15.79% |
| Corner Bet | 10.81% | 10.53% |
| Street Bet | 8.11% | 7.89% |
| Split Bet | 5.41% | 5.26% |
| Straight Bet | 2.70% | 2.63% |
The Meaning of the Odds
Many people believe that “odds” and “probability” are the same, but they are not. There is a subtle yet essential difference between the two. Odds compare the likelihood of an event occurring with the likelihood of it not occurring.
Like probability, odds are expressed using two numbers. The first shows the number of ways the event can occur. The second represents all remaining possible outcomes, excluding the winning outcome.
The Odds in All Variations of Roulette
Returning to the straight-up bet example, the odds in favor of winning on the European wheel are 1 to 36, or 1:36. On the American wheel, the odds are 1 to 37, or 1:37.
It is important to distinguish between odds “for” and odds “against”. When the numbers are unequal, the difference is significant. Experienced players can easily differentiate between “odds for winning are 1:2” and “odds against winning are 2:1.”
The payout is always higher when the probability of winning is lower. Suppose you place a straight-up bet on the American wheel, wagering on a single number out of 38. Your odds in favor of winning are 1 to 37, while the odds against you are 37 to 1. If you win, the casino pays 35:1. The gap between the true odds and the payout creates the house edge.
If you place an even-money bet, such as red or black, there are 18 winning outcomes and 20 losing outcomes, consisting of the 18 opposite-colored numbers and two green zero pockets. Therefore, the odds in favor of winning are 18:20, while the odds against winning are 20:18. The payout, however, is 1:1, or 18:18. The same logic applies to even or odd bets because zero is neither even nor odd. If you bet on even numbers, you have 18 chances to win and 20 chances to lose, consisting of the odd numbers and the two zeros. Thus, the odds in favor of winning are 18:20, while the payout remains 1:1.
| Roulette Odds Against Winning and Payout | |||
|---|---|---|---|
| Bet Name | European Roulette | American Roulette | Payout |
| High / Low Bet | 1.06 to 1 | 1.11 to 1 | 1 to 1 |
| Red / Black Bet | 1.06 to 1 | 1.11 to 1 | 1 to 1 |
| Odd / Even Bet | 1.06 to 1 | 1.11 to 1 | 1 to 1 |
| Dozen Bet | 2.08 to 1 | 2.17 to 1 | 2 to 1 |
| Column Bet | 2.08 to 1 | 2.17 to 1 | 2 to 1 |
| Six Line Bet | 5.17 to 1 | 5.33 to 1 | 5 to 1 |
| Corner Bet | 8.25 to 1 | 8.5 to 1 | 8 to 1 |
| Street Bet | 11.33 to 1 | 11.67 to 1 | 11 to 1 |
| Split Bet | 17.5 to 1 | 18 to 1 | 17 to 1 |
| Straight Bet | 36 to 1 | 37 to 1 | 35 to 1 |
The Meaning of the House Edge
The house edge is the casino’s built-in mathematical advantage, determined by the presence of the zero pocket or pockets. That is why the house edge is higher in the American variation than in the European one. The second zero pocket further increases the player’s probability of losing.
The house edge is calculated mathematically; it is not a random figure devised by casino managers. With a double-zero pocket, the casino’s advantage on standard bets is 2 out of 38, which equals 0.0526. Expressed as a percentage, the house edge is 0.0526 × 100 = 5.26%.
The same logic applies to the European and French games. With only one zero pocket, the house advantage is 1 out of 37, which is 0.027, or 2.70%.
Gambler’s Fallacy
Knowing how to calculate potential wins or losses is central to roulette strategy. Many gamblers, however, fall victim to the so-called gambler’s fallacy. They believe that long consecutive streaks involving one winning number or group of numbers are extremely rare. For example, if the winning number has landed in the red section three times in a row, this does not mean that the next spin will produce a black number. Roulette is a game of chance, and players cannot know whether a particular number or event will appear on the next spin. That is why a sensible approach to roulette is to keep track of your bankroll and protect it from depletion.
FAQ
Roulette odds reflect the win-to-loss ratio of each bet available in the game. Different bets have different odds of winning and this is reflected in their payouts. For instance, a straight bet on a single number in European Roulette has true odds of 36 to 1 but pays out at house odds of 35 to 1 (2.70% house edge and winning probability), offering a high reward for high risk.
Your odds of winning are affected by the number of zeros a roulette wheel contains. An American wheel has an extra double-zero pocket, which increases the house edge to 5.26%. In contrast, the European and French wheels have a single zero, lowering the house edge to 2.70%, thus giving you better odds of winning.
Absolutely not. Each spin of the roulette wheel is an independent event, meaning the outcome of previous spins doesn’t influence future results. Thinking otherwise is a cognitive bias known as the “gambler’s fallacy” whereby a person believes that a number is “due” to hit because it hasn’t appeared in a while.
By understanding roulette odds, you can make more informed decisions about which bets to place based on their risk-to-reward ratio. The knowledge of odds and house edge can help you manage your bankroll more effectively and choose strategies that align with your playing style and risk tolerance.
The key is to size your bets based on your bankroll, and never chase losses or rely on patterns from previous spins. Embrace roulette’s randomness and focus on enjoying the game. Employing a betting strategy that suits your budget and playing style can enhance your experience but will not improve your odds of winning.