As with any other game of chance, roulette also depends a lot on probability, odds and payouts. However, unlike blackjack, they are very easy to calculate because only one winning number out of 35 is drawn (in French roulette).

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Bets are only placed before the ball starts rolling, so even the players have no further opportunity to make decisions. If the winning probabilities of individual bets are shown, there will be no 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 roulette payouts work: finding the right odds

Let's start with the probabilities of winning different bets on the roulette table and why the odds of winning ultimately come out to the same house edge for each bet. For these examples, we will take an American roulette table. However, the same calculations can easily be 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, the player can win 18/38, i.e. expressed as a percentage of approximately 47.37%.

So, the calculation of the house edge for a bet with a one-to-one payout is as follows: 47.37% of the time players win the bet and 52.63% of the time they 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 place a bet on one 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 is matched. Therefore, the chance of winning on each spin of the wheel is 1/38, or 2.63%. If players win this bet, they profit 35x. This compares to one unit that players would lose if their number was not matched.

Here's how these roulette calculations work towards the house edge:

(0.0263 * 35) - 0.97370.9211 - 0.9737= - 0.0526 (again, 5.26% house edge)

Roulette is a unique casino game chance because the house edge is always the same regardless of the probabilities and best online casino payouts for different bets. This means that the player does not have to use a strategic approach to win; all they need to do is place a bet.

Winning Probability for Outside Bets

Outside bets give players the best bet combinations in roulette:

Rouge/Noir, Manque/Pass and Pair/Impair

The most popular online casino options with the best payouts are the simple "Red/Black Bet", High and Low Bet (bet 1-18/19-36) or "Even/Odd Bet". These are also the so-called Rouge/Noir, Manque/Passe, I Para/Impairment - due to their French origin.

With these options, the payout in roulette is slightly less than 50%. More precisely, at 48.65%, because there is still a chance that the ball will stop at zero. All these options have a single Roulette payout in a 1:1 ratio.

Dozens/Douzaines

The Dozen (12 numbers) bet is also one of the most popular outside Roulette bets. In this case, bets are placed on sequences 1-12, 13-24 or 25-36. The probability of winning in this case is 32.43%, but they pay out 2:1 instead of 1:1 as in the above bets.

Columns/Colons

When it comes to the column bet, we are talking about the same probability (32.43%) and identical payout proportions as in the dozen bet (2:1).

Winning probability for inside bets

So-called inside bets involve betting on a single number or a small group of numbers. The choice here is smaller than with outside bets, although honestly there is plenty to choose from:

Plein/Number/Straight Bet

The lowest probability of winning is to bet on the exact number. This represents 2.70%. Players can expect a payout ratio of 35:1.

Split/Cheval

The Plein follows 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.

Cross Plein

After betting on one or two numbers, you now bet on 3 numbers. A single street bet (3-number combination) offers a winning probability of 8.11%. The payout ratio is 11:1.

Carré

A winning probability of 10.81% is offered by corner or Carré bets (4 digits). The payout here is still 8:1.

Straight Straight

A double straight contains six different numbers, giving a winning probability of 16.22%. This bet pays out at a 5:1 ratio if successful.

Winning Probability on Ads

If players want to bet on ads, they should look for a racetrack roulette. Interestingly, some live casino tables offer this feature. At some live roulette casino tables, announcements can also be made via special versions such as French Roulette Gold from Evolution Gaming.

The so-called announcement is again slightly different from the inside and outside bets previously presented. In these best advertised roulette bets, numbers are grouped together which are not in order on the table but on the roulette wheel. Thanks to announcements, players can bet on specific areas of the pot.

Voisins du Zéro

Here the "neighbors of zero" would be interesting. 17 issues are covered. In total, you need to place 9 bets for a winning probability of 45.9%. Of course it's easier with a race track. On the RaceTrack, players can place bets directly on Voisins du Zero using the mentioned roulette odds.

Stairs

w Stairs bet the 12 numbers that lie directly opposite the Voisins du Zero are covered. The winning probability is 32.4%.

Jeu Zero

Tens/column bets in inside bets also offer a similar winning probability. In Jeu Zero, game zero, we are talking about a weakened version of zero's neighbors. In this case, 7 numbers close to 0 on the roulette wheel with a winning probability of 18.9%.

Orphelina

All other numbers on the wheel that are not covered by these announcements are grouped under the term orphelina (orphans). The probability of winning is 41.6%.

Voisins

The neighbor's game is also called simply Voisins. It should not be confused with its neighbors 0 (Voisins du Zero), which can be bet on the track. Players bet on the number and its number of Voisins in the cup while playing with their neighbors.

This makes it easier to bet on certain areas of the cauldron. For example, if players bet on adjacent sixes, they are betting 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%.

Finals

In the variable announcement "Finals", players bet on numbers ending with special digits. The probability of winning in this case is 8.1%. The bet can be extended to two figures. For example, 1 and 3, in which case the number on which the ball stops must end in 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 how likely it is that unusual or improbable events will occur in roulette - for example, a roulette with green odds or a roulette payout of 00. For example, one question that always comes up among players is how often they lose all their chips (their bankroll) using the Martingale system.

The Martingale system involves doubling your bets if your previous bet is lost. Depending on the maximum limit at the roulette table, reaching the maximum limit requires seven losing one-to-one bets in a row.

At this point, the player cannot increase his bets any further. The probability of this happening on a European roulette wheel is 1 in 106.

Improbable outcomes can sometimes work to players' advantage. The same number may be 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 player's chosen number in the next three spins is 50,652:1 (in European roulette) and 54,871:1 (in American roulette).

For those who are not aware of it, betting systems have become a losing option, even though they may seem like a good thing.

How anyone can calculate the odds and payouts in roulette

In this review we have looked at all the most important bets and stakes on the roulette table. Beginners especially often wonder how other players come up with these numbers.

The principle behind it is surprisingly simple. Players don't have to be particularly good at calculating probabilities. They don't need a notebook for functional analysis - just a piece of paper with a pen and a calculator.

To get the best odds in roulette, players simply divide the number they are betting on by 37 in French roulette. In American roulette the calculation is 38 - thanks to the double zero.

This gives 4/35 for Carré - 4 numbers - or 0.114. Players simply need to multiply by 100 and they know the probability.

With this quite simple method, players can calculate the roulette winnings for each bet at the table. It's worth a try - for example by betting on two carres or several bets divided into one of the best online casino roulette.

Conclusion

Roulette has truly stood the test of time - and it's easy to see why. This game isn't just about hitting those roulette numbers. It's much more than that.

The game itself is quite complex and offers casino players the chance to experience something completely structured that can be mastered and perfected to amazing levels.

That's why it's so important to keep an eye on the roulette pay table at all times, to know at all times what the best roulette odds are and to get the most out of your maximum roulette bet.

Knowing the ins and outs of the game can make a huge difference in maximizing your winnings and 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 real master of the game.

Now it's time to find the right roulette casino and grab an enticing bonus to make it even more exciting!

Author: Chris Hamilton