Roulette Odds and Probabilities Calculated

Jamie Wall
Written by Jamie Wall

You can’t call yourself a roulette player if you don’t know about its odds and probabilities. If you’re not aware of these, understanding them can help you decide which wagers are the best and boost your chances of winning. This article looks at roulette odds and probabilities in detail. Before learning about them, read up on roulette strategies such as the Martingale system. Combine a strategy with awareness of the game’s stats to boost your chances of doing well.

Overview of Roulette Odds and Probabilities

In roulette, the terms ‘odds’ and ‘probabilities’ both refer to the likeliness of a particular outcome happening, i.e. a bet winning or losing. You’ll usually see odds as a fraction, e.g. 1/37, though sometimes they can be decimals, e.g. 0.028. As for probabilities, these are commonly displayed as percentages such as 2.85%.

When compared with other online casino games, roulette’s odds are generally quite favourable. It’s up to you to decide how many numbers your bet covers; the more of them there are, the higher your chances of winning. There’s not much strategy involved since you can’t influence the outcome, i.e. which pocket the ball lands in. Therefore, roulette can be considered an entirely luck-based game.

Before playing roulette, check out the paytable. This will explain the rules of the game and show you what bets are available along with their odds and payouts.

There are two main versions of roulette: European and American. The former has 37 number pockets on its wheel, while the latter has 38. This is because there’s an extra 00 (double zero) pocket. This affects the odds in roulette because it gives every other pocket a slightly lower chance of winning. It’s important to know what the main bets and their odds are whichever version of roulette you’re playing.

Key Roulette Bets and Their Odds

Roulette bets are grouped into two categories: inside and outside. The table below shows you how the two compare.

Inside Outside
Numbers 1–6; individual numbers and small groups 12–18; large groups
Payouts Large Small
Odds Lower chance of winning Higher chance of winning

There are also call bets, which are placed in land-based casinos, though they’re not allowed in Great Britain. This is because they involve telling the croupier what you’re betting without placing money on the table. Like in other games, roulette’s bets have different odds and payouts. We’ve prepared summaries of the key bets, along with their chances of winning and how much they pay out.

Single Number Bet (Straight Up)

This bet covers just one number. Its odds of winning are1/36 in European roulette and1/37 in American versions. Of all the payouts in roulette, the single number bet one is the highest, sitting at35:1.

Split Bet

This includes any two vertically or horizontally adjacent numbers on the roulette betting table, e.g.7+8. The chances of this bet winning are1/17.5 in French roulette and1/18 in the American version. As for the payout, it’s17:1.

Street Bet

The Street bet covers a row of three numbers on the betting table, e.g.1/2/3. The odds are as follows:1/11.33 for the European and1/11.66 for the American; the payout is11:1.

Corner Bet

With this, you’re wagering on four numbers that form a square on the betting table, e.g.5/6/8/9. The odds of winning are1/8.25 for the European and1/8.5 for the American roulette, with a common payout rate of8:1.

Red/Black, Even/Odd & High/Low

Each of these three bets covers18 numbers. For the high bet, it’s19/36, whereas for the low bet, it’s1/18. Even bets cover2, 4, 6… up to36; for odd bets, it’s1, 3, 5…35. The red/black bets include all numbers of the matching colour; by the way, the numbers0 and00 are coloured green on roulette wheels.

All of these have a1:1 roulette odds payout. Their odds of winning are1/1.05 in the European roulette and1/1.11 in the American.

The payouts for roulette bets work in a straightforward way, as explained in more detail in the next section. Therefore, you should be able to work out your winnings easily enough.

Examples

Let’s say you’re playing European roulette and you spend £1 on a Corner bet. The payout for this is 8:1 and its odds are 1/8.25. If the ball lands in any of the four numbers that the bet represents, you’ll win.

The 8 in the payout refers to your winnings, and the 1 is your bet. If you win, you’ll be paid 8x your bet and your initial wager will be returned to you. This means you’ll end up with £9 in total: £8 of winnings and your first bet, £1.

To give another example, let’s say you’re placing a £10 bet on American roulette. You go for the 0. As a Single Number bet, the odds on 0 roulette are 1/37, with the payout rate at 35 to 1. The ball lands in the 0 pocket and you’re paid £360. Of this, £350 is your winnings and £10 is your bet. The roulette odds 00 are the same, even though 00 is only present on the American roulette wheels.

While roulette is a simple, luck-based game with straightforward bets, the addition of the 00 pocket makes the European and American versions quite different from each other.

Comparing European and American Roulette

If you’re placing a Single Number bet, in European roulette, the odds of it winning are 1/36. In American roulette, the chances are a bit smaller at 1/37. The house edge is also affected. For European roulette, it’s 2.7%, whereas for the American counterpart, it’s higher at 5.26%. In theory, over time, you should lose more money on the American roulette rather than if playing the European version.

For a better idea of what influence the 38th pocket has on odds, have a look at the following table:

  European American
House Edge 2.7% 5.26%
Single Bet Odds of Winning 1/36 1/37
1st Column (12 Numbers) Odds of Winning 1/2.08 1/2.16
Red or Black Odds of Winning 1/1.05 1/1.11

The odds of roulette bet winnings are always higher for the American roulette. Therefore, when playing this version, each wager has a lower win rate. The roulette 0 payout is the same for both types; this is also true for the 00 pocket.

Generally speaking, it’s not hard to work out how much you’ll earn from winning bets whichever version of roulette you play. However, there is help available if you can’t quite determine your exact payouts.

Using Calculators to Help with Numbers

Not every gambler in the UK is used to dealing with numbers and roulette wheel probability. Thankfully, there are free online roulette calculators that let you plan strategies, decide which bets to place, and manage your budget. Some top choices include OmniCalculator and Roulette77.

To use one, select a roulette version, choose a bet and input the size of your wager. You should then see how much you’ll win if the bet is successful.

Roulette Calculator

What’s Good and Bad About Calculating Odds?

  • Pros
  • Knowing roulette wheel odds helps you decide which bets to place with your fixed budget; this can reduce your long-term losses.
  • Being aware of roulette table payouts can boost your confidence in playing the game; you might place potentially profitable bets you might not have gone for before.
  • By understanding roulette probabilities, you can make a conscious choice between the European and the American versions of the game.
  • Cons
  • It can remove some of the fun of roulette. Some people can end up spending more time obsessing over numbers than appreciating the game for what it is.

To Sum Up

This article has shown that roulette table odds vary depending on the type of wheel and the bet you’re placing. When you know what’s at stake, you can make better gaming decisions and, hopefully, lose less money overall. Therefore, before playing the game, educate yourself first on the bet odds and payouts to increase your chances of winning.

References

  1. “Roulette Probability.” RouletteStar.com, https://www.roulettestar.com/guide/probability/. Accessed on July 8, 2024.
  2. “Roulette Gambling Game.” Britannica.com, last updated June 26, 2024, https://www.britannica.com/topic/roulette-gambling-game. Accessed on July 8, 2024.
  3. “Roulette Odds.” TechReport.com, updated March 29, 2024, https://techreport.com/gambling/guides/roulette-odds/. Accessed on July 8, 2024.
Author
Jamie Wall
Jamie Wall Casino Analyst

Former NetEnt developer with MSc in Casino Game Development from the London School of Economics and an article featured in The Times of Malta. Jamie dissects each game & casino, so you can read reviews that blend passion and insight. You’ll never meet a person who knows more about game mechanics than him.

Related articles
best roulette strategy
Revealing 5 of the Top Roulette Strategies

You’ll find here 5 of the pivotal roulette strategies for 2024, with emphasis on the Martingale, D’Alembert, and Fibonacci techniques. Learn easily and strengthen your chances of winning. If you visit a real or online casino, you can be assured that one of the most popular games will be roulette.…

Jamie Wall, April 2 2024

FAQ

Can I beat the odds in any way?

No, you can’t beat the odds. This is because every game of roulette is entirely based on luck. There’s nothing you can do in real-life roulette or online versions to determine which pocket the ball will land in. No tricks or cheating chart will help you win any type of roulette game.

What’s the most I can bet on roulette?

Bet sizes vary depending on the game you’re playing. Remember that the more you bet, the bigger the roulette payouts, but the greater the risk to your budget. Before you start playing an online roulette game, check the available bet sizes. For most games, the minimum amount you can wager is quite low.

Should I play free roulette first?

Once you’ve got your head around roulette probabilities and odds, it’s a good idea to play for free. With demo versions, you can test out strategies and learn the ropes without having to spend a penny. Most British online casinos let you play roulette games free of charge as much as you like.

Can I play roulette with online casino bonuses?

If the reward is bonus money, which is free casino credit, you should be able to spend it on roulette games. Always check the promotion’s terms and conditions to know all the details. Also, bear in mind that roulette games don’t always contribute 100% towards the wagering requirements; the rate can be 50% or even 0% at some sites.

What are the odds on roulette bets winning?

As we mentioned earlier, the odds depend on two things; the type of roulette and the bet you’re placing. When you look at a game’s paytable and check the roulette table odds, you’ll see that bets covering a large number of pockets have better chances of winning. Those that cover smaller selections of numbers have lower chances, but better payouts.