Can a Background in Math Help You in Roulette?

Almost every game of chance has a mathematical aspect behind it. Some of them are easier to understand. Others, like Roulette, are a tad complex. However, if you can manage to point out a mathematical element in every game, then you can increase your chances of winning significantly.

For example, let’s look at Roulette. The game has variable mathematical concepts that give mathematically apt players an edge over the others. To elaborate on this, we will look at some vital mathematical facts about Roulette.

Roulette House Edge

The odds and payouts always determine Roulette’s house edge, which dictates your long-term results from playing Roulette. Through the house edge, you can precisely calculate how much money you will lose if you play many wagers on a roulette wheel.

One can easily estimate his expected loses or gains if you know the exact house edge of a wager through simple multiplication. Roulette’s typical house edges are either 5.26% in a double 0 wheel (American roulette) and 2.7% in a single 0 wheel (European Roulette).

Let’s say you have a $25 bet on 10,000 spins over one year. Here is how you can determine the expected outcome. If you are playing on a single 0 table with a house edge of 2.7%, you can expect an average difference of $6,750 at the end of the year. In case you play on a double 0 table, the outcome will be a $13 150 difference at the end of the year.

It is hard to win while playing Roulette. But a mathematics background can help you determine the number of wagers you should place and for how long. The main advantage of this is that all bets have similar house edges on a table.

European versus American Roulette

Standard roulette wheels come in two main varieties, European versus American roulette. European roulette has a single zero pocket and is the most recommended type—learn more at On the other hand, American roullete has 00 and 0 options that are 180 degrees apart and is mainly used in American casinos.

What mathematical aspect do these layouts play? Well, the type of table determines the house edge, as we have earlier seen. A single 0 table has a house edge of 2.75% on all wagers, while a double 0 wheel carries a 5.26% house edge.

However, there are exceptions to these wagers and are known as baskets or bets. These are wagers on 00, 0, 1, or 2 and usually carry higher house edges.

Since the house edge is calculated from the odds of a ball landing on a particular space and the amount of the expected payout, it is prudent to play on a single 0 table with 37 slots compared to a 38 slotted double 0 wheel.

For instance, if you bet on the ball landing on an even-numbered spot,  you stand an 18 out 37 chance of winning in a single 0 table and an 18 out of 38 winning probability on a double 0 table.

Can you use ‘probability theory’ to beat roulette prediction?

Many games of luck usually have probable outcomes that can be calculated mathematically. If you search the term probability theory on google, some game names such as Blackjack will pop up in your results options.

Roulette is different. It is almost impossible to predict the outcome of a spin as each is an independent variable. Each wheel is random, and no one knows where the wheel will drop the ball.

For instance, if the spin lands the ball on a black slot ten times in a row, there is still the same probability of landing on a red, green, or black spot on the 11th spin.

A roulette table can wear out or have flaws on the manufacturer’s side. In such cases, the table will give biased outcomes.

Smart mathematically gifted roulette players can notice such flaws by tracking the wheel’s results and manipulate it to their advantage. For instance, when a wheel is biased, it is likely to land on a set of numbers adjacent to each other more often than different sections.

Therefore, if you can identify a set of four numbers likely to hold the ball, you can place your bets on these numbers and beat the house edge. Fortunately, with the advancement in technology, casinos can detect biased wheels and make replacements early enough.

What works?

Roulette, just like many other casino games, has evolved over centuries to be almost unbeatable. However, it is not weird to come across gambling systems that claim expertise in beating Roulette; actually, hundreds of such gambling systems exist online.

An excellent example of such a system is the martingale system that advocates doubling your next bet after losses. These systems look excellent and viable until you work the mathematics behind them only to discover they are a sham!

Only one system works in Roulette, and that is luck. It may come as a disappointment to you, but roulette spins are too random to predicts without being lucky. Additionally, common sense comes in handy when luck is not on your side.

You have to be very wise when spending cash on roulette bets and when picking roulette bet options. Even/odd bets carry fewer odds but higher chances of winning than single number bets with mouth-watering odds and scarce opportunities of occurrence.


As a gifted mathematician, you may stand a better chance of making better decisions in a roulette game than other players. However, your unmatched mathematical knowledge doesn’t give you any added advantage over other players, thanks to modern roulette tables, as they are unpredictable and unbiased.

Therefore, yes, as a mathematician, you can calculate the expected amount of winnings or losses from each bet. You can choose the appropriate amount of wagers in a single game, but that’s about all the advantage you will have above other players.

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