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Odds And Probabilities For Single & Double Zero Roulette
Every bet in roulette has a different probability and odds. These also differ between the basic roulette variants (single zero EU - double zero US). In the table below, you can see what the respective values are for both variants.
| Bet | Odds (single zero version) | Odds (double zero version) | How to calculate (single zero) | How to calculate (double zero) |
|---|---|---|---|---|
| Straight up | 2.70% | 2.60% | 1:36 | 1:37 |
| Split | 5.40% | 5.30% | 2:35 | 2:36 |
| Street | 8.10% | 7.90% | 3:34 | 3:35 |
| Corner | 10.80% | 10.50% | 4:37 | 4:34 |
| 5 numbers | - | 13.20% | - | 5:33 |
| Six Line | 16.20% | 15.80% | 6:31 | 6:32 |
| Column | 32.40% | 31.60% | 12:25 | 12:26 |
| Dozen | 32.40% | 31.60% | 12:25 | 12:26 |
| Even/Odd | 48.60% | 47.40% | 18:19 | 18:20 |
| Red/Black | 48.60% | 47.40% | 18:19 | 18:20 |
| High/Low | 48.60% | 47.40% | 18:19 | 18:20 |
The most important conclusion you should draw from this table is that roulette variants with single zeros (EU & FR) always offer a higher probability than variants with double zeros (US). The difference decreases or increases depending on the bet types. When the bet covers a small number of outcomes, the difference can be as low as 0.1%. However, if the bet involves a large number of outcomes, the difference can be as high as 1.20%.
PROTIP Although they are used to express the likelihood that a specific event will occur, the terms probability and odds are not the same. In short:
- Probability is a percentage that represents your chances of winning a specific event. For instance, the probability (chance of winning) for a straight bet in single zero roulette is 2.70%.
- Odds are the ratio of your chances of winning to your chances of losing a specific event. For instance, the odds for a straight bet in single-zero roulette are 1:36. Therefore, there will be an average of 36 losses for every single win.
Calculating Probability And Odds in Roulette
These are actually not complicated calculations and have very simple formulae. To calculate probability, simply divide the number of outcomes covered by your bet by the maximum number of outcomes. You can see your percentage chances of winning by multiplying the outcome by 100. Let's take an example using the straight bet: in this example, we assume that you are playing European roulette with a single zero.
- A straight bet covers only one outcome - 1.
- In European roulette, there are thirty-seven possible outcomes on the wheel - 37.
- We can express it like this: 1/37.
- The result of this division is 0.0270.
- If we multiply this by 100, we see what the probability is: 2.70%.
Let's give another example using the odd/even bet, but this time, let's assume you are playing American roulette.
- Odd/even is an outside bet and covers a total of eighteen outcomes - 18.
- In American roulette, there are thirty-eight possible outcomes on the wheel - 38.
- So, 18/38. The result is 0.4740.
- Multiplying by 100, we see that the probability is 47.40%.
So, how can we calculate the odds? Dividing the number of winning outcomes by the number of losing outcomes is enough. Let's explain once again with an example and calculate the odds of a dozen bet in European roulette:
- There are 37 numbers on the EU roulette wheel.
- The dozen bet lets you try your luck on 12 numbers (winning outcomes).
- To calculate the losing outcome, we need to subtract the total number on the wheel from the numbers covered by our bet, so 37-12 = 25.
- Using the above formula, we see that the odds of a dozen bet are 12:25.
This means that for every 12 wins, there will be 25 losses. Of course, this is an average value. It doesn't mean that you will definitely win at a certain moment (or after a certain win/loss streak). But it gives you a good idea of what to expect, which will help you make more rational decisions.
Odds = Winning outcomes Losing outcomes
‘Winning outcomes’ means the total number of outcomes covered by your bet
‘Losing outcomes’ means the total number of outcomes you are not covering
Probabilities = Covered numbers Total Numbers x 100
‘Covered numbers’ mean the total number of outcomes covered by your bet
‘Total numbers’ mean the total number on the wheel – 37 for EU, 38 for US
Probability Calculation of Complex Roulette Bets
Most Canadian players try their luck with complex roulette bets, also known as ‘combinations.’ This means trying to increase table coverage (and, therefore, the chances of winning) by placing several bets at the same time. For example, you can place five straight bets, three split bets, and one dozen bet. At a European roulette table, these bet combinations will look like this:
So, what do you get when you do this? Let's explain step by step:
- Your Straight bets will cover 5 numbers.
- Your Split bets will cover 6 numbers in total.
- Your Dozen bet will cover 12 numbers.
- So, you have created a combination bet that covers 23 out of 37 possible outcomes.
To calculate the probability of this, we can use the formula explained above since we know how many outcomes are covered by our bets. The formula will be as follows:
- 23/37
The result of this division is:
- 0.6216
Multiplying by 100, we can see what our chances of winning this combination bet are:
- %62.16.
The odds calculation for this bet will give the result 23:14, meaning that for every 23 wins, you can expect 14 losses. No matter how complex your combination bet is, you can make probability and odds calculations once you know the total number of outcomes you are covering.
PROTIP Remember that in combination betting, each bet must cover a range independent of the other. For example, if you had placed your straight and split bets in the same area as the dozen bet, you would have covered outcomes already covered by the dozen bet, and this would have changed the calculation. In such a case, although you would have placed a large number of bets, you would only have covered 12 outcomes, so the probability would be 32.43% (12/37 x 100), and the odds would be 12:25.
Probabilities of Call Bets
You may also know these as announced bets or French bets. Whilst they are unique to French roulette, they are also sometimes found in other variants and always include multiple numbers. These numbers cover different sectors on the wheel, not the table, and are called Tiers du Cylindre (a third of the wheel), Jeu 0 Bets (numbers closest to zero), Voisins du Zero (neighbors of zero), and so on. Regardless of their names, since we know how many outcomes they cover, we can calculate their probabilities and odds using the formulae explained above.
| Bet | Odds | Probabilities |
|---|---|---|
| Voisins du Zero | 17/20 | 45.95% |
| Orphelins | 8/29 | 21.62% |
| Le Tiers du Cylindre | 12/25 | 32.53% |
| Jeu Zero | 7/30 | 18.70% |
| Neighbours | 5/32 | 13.8% |
Roulette Probability Calculator
If you don't want to waste time with these calculations, we have prepared a tool for you. Enter any bet (or combination of bets) into the calculator below, and you can instantly see what the probability is. You can use this tool both in online roulette and in live roulette.
FAQs
Outside bets offer a higher probability because they cover more outcomes. For example, even money bets in European roulette have a probability of just over 48%.
The house edge is a percentage of how much profit the casino will make on your bets. For example, EU roulette has a house edge of 2.70%, which means that the casino will make a profit of 2.70 CAD for every 100 CAD you wager on the game. It is calculated by dividing the number of zeros by the total number on the wheel, i.e., 1/37 (2.70%) for EU roulette and 1/38 (5.26%) for US roulette.
It is 2.70% in European roulette and 2.63% in US roulette. 0 is a single number like any other, so the probability calculation does not change.
No, they don't. These two rules refund half of your bet under certain conditions or allow you to use it on the next spin. This reduces the house's edge but does not affect the chances of winning in any way.
RTP is a percentage value that shows how much of your stake you can win back after an average of 1,000 spins. For example, European roulette has an RTP of 97.30%, meaning that for every 100 CAD you wager, you can win back 97.30 CAD.
