As with any other game of chance, Roulette is also very much about probabilities, odds, and payouts. However, unlike Blackjack, these are very easy to calculate, as only one winning number out of a total of 35 (in French Roulette) is drawn.
Bets are only placed before the ball starts rolling, so even players don't have any further decision-making options. If the winning probabilities of the individual bets are shown, there will be hardly any surprises for most people. But only a few really know how to calculate Roulette payouts and what types of roulette bets there are. Let’s dive in!
How Does Roulette Payout Work: Finding the Right Odds
Let's start with the probability of winning different Roulette table bets and why the winning odds ultimately come out at the same house edge for each bet. For these examples, we will take an American Roulette table. However, the same calculation can also be easily applied to the European Roulette wheel.
The player wins a one-to-one bet, such as red/black, if the ball lands on one of the 18 pockets of the corresponding color. Thus, a player can win 18/38, or, expressed as a percentage, approximately 47.37%.
So the house edge calculation for a bet with a one-to-one payout is as follows: 47.37% of the time, players will win the bet, and 52.63% of the time, they’ll lose.
Here’s how the Roulette payout calculator works towards the house edge:
0.4737 - 0.5263 = - 0.0526 (or 5.26%)
However, talking about other good Roulette bets gets a little more complicated. For example, suppose a player wants to make a bet on a single number. This bet pays out 35:1 if he or she wins.
The player only wins if the exact number he or she bets on hits. Thus, the chance of winning on each spin of the wheel is 1/38, or 2.63%. If players win this bet, they gain 35x. This is compared to one unit the players would lose if their number is not hit.
So, here’s how these Roulette calculations work toward the house edge:
(0,0263 * 35) - 0,9737
0.9211 - 0.9737 = - 0.0526 (again, 5.26% house edge)
Roulette is a unique casino game of chance because the house edge is always the same, regardless of the odds and top online casino payouts for different bets. This means that a player does not need to employ a strategic approach to win; all they need to do is place their bet.
Winning Probabilities for Outside Bets
Outside bets give players the best Roulette bet combinations:
Rouge/Noir, Manque/Passe, and Pair/Impair
The most popular options at an online casino with the best payouts include the simple odds "Red/Black bet,” the high and low bet (1-18/19-36 bet), or the "Even/Odd bet". These are also called Rouge/Noir, Manque/Passe, and Pair/Impair - because of their French origins.
With these options, the Roulette payout is just under 50%. To be exact, at 48.65%, since there is still a chance that the ball will stop at zero. These options all have a single number payout Roulette at a ratio of 1:1.
Dozens / Douzaines
The dozen bet (12 numbers) is also among the most popular Roulette outside bets. In this case, bets are placed on sequences 1-12, 13-24, or 25-36. The probability of winning this one is 32.43%, but they pay out 2:1 instead of 1:1 as in the above bets.
Columns / Colonnes
Regarding the column bet, we are talking about the same probability (32.43%) and identical payout ratios as in the dozen bet (2:1).
Winning Probabilities for Inside Bets
So-called inside bets involve betting on either a single number or a small group of numbers. The choices here are smaller than for outside bets, although there’s honestly quite a lot to choose from:
Plein / Number / Straight-Up Bet
The lowest probability of winning here is betting on an exact number. This amounts to 2.70%. Players can expect a payout ratio of 35:1.
Split / Cheval
The Plein is followed by the Cheval, which involves betting on two exact numbers instead of just one. The probability of winning here increases to 5.41%. If the prediction is correct, the payout ratio is 17:1.
After betting on one or two numbers, it now follows betting on 3 numbers. A bet on one street (3-number combination) offers a winning probability of 8.11%. The payout ratio is 11:1.
10.81% probability of winning is offered by betting on a corner or Carré (4 numbers). The payout here is still 8:1.
The double straight contains six different numbers and thus results in a winning probability of 16.22%. This bet pays out at a ratio of 5:1 if it hits.
Winning Probabilities of the Announcements
If players want to bet on announcements, they should look for a Roulette board with a racetrack. What’s interesting is that some live casino tables offer this feature. At some tables in the Roulette live casinos, announcements can also be placed via special versions, such as in the French Roulette Gold from Evolution Gaming.
The so-called announcement differs again a little from the previously presented inside and outside bets. In these best Roulette bets with announcements, numbers are grouped together that are not in sequence on the table but on the Roulette wheel. With the announcements, players can bet on certain areas of the pot.
Voisins du Zéro
Here, the "neighbors of zero" would be interesting. 17 numbers are covered. A total of 9 bets must be made to arrive at a winning probability of 45.9%. Of course, it’s easier with a race track. On the RaceTrack, players can bet directly on the Voisins du Zero using the mentioned Roulette table odds.
In the Tiers bet the 12 numbers that lie directly opposite the Voisins du Zero are covered. The probability of winning is 32.4%.
Bets on tens/columns in inside bets also offer a similar probability of winning. In Jeu Zero, the zero game, we are talking about a weakened version of the neighbors of zero. In this case, 7 numbers close to 0 on the Roulette wheel with a winning probability of 18.9%.
All other numbers on the wheel that do not fall under these announcements are grouped under the term Orphelins (the orphans). These have a winning probability of 41.6%.
The neighbor’s game is also simply called Voisins. It is not to be confused with the neighbors of 0 (Voisins du Zero), which can be bet on the track. Players bet on a number and its Voisins in the cup when playing with neighbors.
This makes it easier to bet on certain areas of the cauldron. For example, if players bet on the neighbors of the six, they bet on the numbers 17, 34, 6, 27, and 13 - the numbers in the pot next to the six. The probability of winning a bet on Voisins is 13.5%.
In the variable announcement "Finals" players bet on numbers ending in special digits. The probability of winning, in this case, is 8.1%. The bet can be extended to two digits. For example, 1 and 3, in which case the number on which the ball stops must end in either 1 or 3. In this case, the probability of winning increases to 10.8%.
The Probability of Improbable Outcomes in Roulette
Players often want to know the probability of unusual or improbable events in Roulette - like the case of Roulette odds green or Roulette payouts 00. For example, one question that always comes up among players is how often they would lose all their chips (their bankroll) using the Martingale system.
The Martingale system consists of doubling bets whenever the previous bet was lost. Depending on the maximum limit at the Roulette table, it would take seven losing one-to-one bets in a row before reaching the maximum limit.
At this point, the player cannot increase his bets any further. The probability of this occurring on a European Roulette wheel is 1 in 106.
Unlikely outcomes can sometimes work out in the players’ favor. The same number can hit two or even three times in a row. However, this is not something players should count on! Before each spin, the probability of hitting the number the player has selected on the next three spins is 50,652:1 (for European Roulette) and 54,871:1 (for American Roulette).
For those who are unaware of this, betting systems have become a losing option even though they may seem like a good thing.
How Anyone Can Calculate the Roulette Odds and Payouts
We’ve reviewed all the essential bets and stakes on the Roulette table in the review. Especially beginners often wonder how other players come up with these numbers.
The principle behind it is amazingly simple. Players don't have to be particularly fit in probability calculation. They don’t need a table book for functional analysis - a piece of paper with a pen and a calculator is enough.
For the best Roulette odds, players simply divide the number they bet on by 37 in French Roulette. In American Roulette, the calculation is 38 - thanks to the double zero.
This results in 4/35 for a Carré - 4 numbers - that is 0.114. Players simply need to multiply by 100, and they know the probability.
With this quite simple method, players can calculate the Roulette odds payout for every bet at the table. It’s worth giving it a go - for example, by betting on two carrés or several split bets at one of the top online Roulette casinos.
Roulette has truly stood the test of time - and it’s easy to understand why. This game isn’t just about hitting those Roulette numbers. It’s much more.
The game in itself is pretty complex and offers casino players the chance to experience something completely strunique which can be mastered and perfected to amazing levels.
That’s why it’s so important to keep an eye out on the Roulette payout chart at all times, to know in each given moment what the Roulette best odds are and how to make the most out of the maximum bet on Roulette.
Knowing the ins and outs of the game can make all the difference in maximizing your winnings and having a successful roulette experience. So, take the time to learn how to play Roulette, try out different strategies, and avoid common Roulette mistakes to become a true master of the game.
Now it’s just time to find the right Roulette casino and grab an inviting bonus to make it even more exciting!
About the author
Emily "VegasMuse" Thompson is a seasoned online casino enthusiast from down under. With a keen eye for details and an inherent knack for strategizing, she has turned her passion for the online casino world into a successful writing career.