# Roulette Odds Explained: Top Bets & Optimal Payouts Guide

## Understanding Roulette Odds

Roulette odds depend on the table you are playing and the bets you make. In the United States, most Roulette wheels have a zero and a double zero slot which gives a house edge of 5.26%. One of the worst bets and one you should avoid under every circumstance is the 0-00-1-2-3 bet which has a house edge of 7.89%.

You will find the best Roulette bets are in European and French Roulette consisting of a single zero resulting in better player odds. You should play on such a wheel when you have the chance. Historically, this wheel was mostly found outside the United States, but this is now changed where these tables are found worldwide. The house edge for this Roulette wheel drops to 2.70% which provides the player much better odds.

Sometimes you also have the “en prison” rule. For the double zero Roulette this drops the house edge to 2.63% and for the single zero Roulette the house edge drops to 1.35%.

## Bet Odds & Payouts Table

 Bets Payouts Odds Red 1:1 47,37% Black 1:1 47.37% Odd 1:1 47.37% Even 1:1 47.37% 1 to 18 1:1 47.37% 19 to 36 1:1 47.37% 1 to 12 2:1 31.58% 13 to 24 2:1 31.58% 25 to 36 2:1 31.58% Any column 2:1 31:58% Any one number 35:1 2:63% Two number combination 17:1 5:26% Three number combination 11:1 7.89% Four number combination 8:1 10.53% Six number combination 5:1 15.79% 0,00,1,2,3 combination 6:1 13.16%

More bet odds here.

## Roulette House Edge

The house average or house edge (also called the expected value) is the amount the player loses relative to any bet made, on average. If a player bets on a single number in the American game there is a probability of 1/38 that the player wins 35 times the bet, and a 37/38 chance that the player loses their bet. The expected value is:

-1*37/38 + 35*1/38 = -0.0526 (5.26% house edge)

For European Roulette, a single number wins 1/37 and loses 36/37:

-1*36/37 + 35*1/37 = -0.0270 (2.70% house edge)

In Roulette, the house has the same edge on all other kinds of bets also because the payouts are always set as if the zero square(s) did not exist. The only exception is the five numbers bet where the house edge is considerably higher (7.89% on an American wheel) and the ‘even money’ bets in some European games, where the house edge is halved because only half the stake is lost on when a zero comes up.

The house edge should not be confused with the hold. The hold is the total amount of cash the table changes for chips, minus the chips were taken away from the table. It may be significantly more than 5.26%/2.70% of all players’ money because players are making repeated bets after winning and losing portions of their total money. A player with a certain total amount of money may not win or lose all their money instantly, such that the total of all bets they make will often be greater than the total of the money they actually started with. The house edge applies to each bet made not the total money, which means the player can end up losing significantly more than 5.26% of his starting money.

For example, it is likely that a player with \$100 making \$10 bets on red will be able to bet more than 10 times because sometimes he wins. He may end up betting a total of 20 times on red. This means the expected value is 20*\$10*5.26% = \$10.52, over 10% of his money is now in the ‘hold’ despite the game having a 5.26% house advantage. A player who continually bets until they run out of money will give the house 100% hold.

In summary, in order to receive the best Roulette payouts and Roulette odds we recommend European and French tables. To enhance your chances of winning we would also recommend you read further articles on Roulette strategy & Tips in the link below.

Part I – How to Play Roulette
Part II – Roulette Strategy & Tips
Part III – Roulette Payouts & Odds

### About the author

Director
Richard has from an early age been interested in casinos and the thrill of playing casino games. After finishing his degree in Law and business he started this platform in 2007 as a complete resource to online gaming with the primary objective of reducing the house edge for players. Specializing in game guides, reviews, and strategic insights, Richard is devoted to helping you hit the jackpot.
Director

## FAQ

### Is roulette a game of pure chance?

Debates have raged about Roulette since the game’s inception. Whether math is involved, whether the results can be predicted, whether the game is purely luck based or not. While these debates are still discussed to this day, largely it is agreed that roulette is a purely luck based game.

### Are there patterns to Roulette?

No. The biggest mistake gamblers make is to look for patterns in Roulette. Humans are programmed to look for patterns. And while this programming has served us well sometimes, at other points it has led us astray. One of the example where it has not served us well, is during Roulette games, where gamblers often make the mistake of looking for patterns, and end up losing a ton of cash.

### Is there a difference between American and French Roulette?

Yes. French, or sometimes called European Roulette is a game in which the wheel consists of 37 different tiles. 18 of them are red. 18 of them are black. The last one is green and numbered 0. In American Roulette, however, there are 38 tiles. 18 of them are black, 18 are red, and two are green. The two green ones are numbered 0 and 00.

### Which Roulette has better odds?

Simply put, French Roulette has much better odds. In the European variant, the house advantage of roulette is 2.7%. In the American variant it is almost double, at 5.26%. So, if you are new to the game, our recommendation would be to check out the European variant first, and then maybe move on to the American variant.

### Can I beat Roulette mathematically?

Famously (and most likely apocryphally), Albert Einstein said that the only way to win at Roulette is by stealing the money from the table when the croupier isn’t looking. Whether Einstein said this or not, what the quote is referring to is that there are no ways to win at Roulette using any mathematical method. The only way to win the Roulette wheel is if Lady Luck fancies you that night.

### How is the house edge determined in French Roulette?

We already said the house advantage in French Roulette is 2.7%. But how was this number arrived at? Simple, there is a formula to it. In French Roulette, a single number wins on a 1/37 and loses on 36/37. At that point, it is a simple formula that goes like this: -1 * 36/37 + 35 * 1/37 = -0.0270 From the final number, we get the house advantage in French Roulette. -0.0270 = 2.70%.

### How is the house edge determined in American Roulette?

The formula is in many ways similar to French Roulette. Except a few things are different. Since there are 38 tiles in American Roulette, the probability to win is 1 in 38 and the probability to lose is 37 in 38. From then, this formula is derived: -1 * 37/38 + 35 * 1/38 = -0.0526 From this final number, we can then derive the house advantage of American Roulette. -0.0526 = 5.26%.

### What betting strategies will improve my odds in Roulette?

The most popular strategies in Roulette are the Fibonacci system of betting and the Martingale system of betting.

### What is the Martingale system?

The Martingale system is very simple to understand and even simpler to put into practice. The way it works is simple. At the Roulette table, you place a starting bet, which you then double until you make a win. After you win, you go back to the starting bet. This is done to ensure that you get any money you’ve lost back. Let’s look at an example. Let’s say you start betting with \$5. \$5 - \$10 - \$20 - \$40 - \$80 … As you can see, every bet after the initial one is doubled. The sequence continues until you get a payout. At which point you return to the initial \$5 bet.

### What is the Fibonacci system?

If you have not heard of the Fibonacci sequence, it is a popular mathematical sequence, in which every subsequent number is a sum of the previous two. For example: 1 – 1 – 2 – 3 – 5 – 8 – 13 – 21 – 34 So, how is this translated to gambling? Well, it is quite simple. Whenever you lose on a bet, you place a bet that is the sum of the last two bet you’ve placed. That way, you get your money back, and then win some extra cash. Let’s give an example with a \$5 bet. \$5 - \$5 - \$10 - \$15 - \$25 - \$40

Full Screen +