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Mathematical Systems That Govern Roulette

September 19, 2023

Roulette is arguably the most well-known casino game, whether people enjoy it at a land-based casino or play online.

This is because like many classic games it blends some mathematical complexities with an in-game format that is simple and easy to get a grip on.

These are the maths equations and sums that make this classic casino game tick, and which will also debunk some Roulette myths that the numbers do not support.

Odds – Otherwise Known at Probabilities

Odds are a vital part of being able to understand how a Roulette table works, because every place on the felt where a player can position a chip comes with its very own applied odds.

For example, if a player places a chip, so that it straddles two numbers, it is called a Split bet. In the case that the ball stops on either number it does so at odds of 17/1 for the player.

Obviously, the more numbers that any bet covers means a reduction in odds. This can be seen with what is called a Corner bet, where four numbers are covered by a chip and the odds are automatically lowered to 8/1.


While many casino players like to think in fractions and decimals, there are those who are altogether more comfortable dealing in percentages, as they go about trying to decipher how to approach Roulette.

Often a percentage can also give a clearer indication of the potential ramifications of a certain bet. For example, a bet placed on red or black has slightly less than a 50% chance of beating the house, whereas those percentages are much lower if a player wishes to select a sole number, with such a bet having around a 2.60% chance of coming good.

Numbers spin in more ways than one at the Roulette table

Numbers spin in more ways than one at the Roulette table

House Edge

Both odds and percentages combine to explain so many of the overriding mathematical factors that are at play on a Roulette table, whether it is a virtual one or a table operating in real life.

One of these is the house edge. This refers to the fact that the odds and percentages involved in any game of Roulette always slightly favour the house.

However, what is important to note is that house edge varies slightly depending on the specific Roulette variant that is being played.

Although all Roulette varieties are equally enjoyable to engage with, players should take these factors into account as each comes with its own distinct mathematical quirks.

Debunking Roulette Myths

A strong understanding of maths allows a Roulette player to debunk some of the myths that have always hovered around casino games such as Roulette or Blackjack.

One of these is that a streak of red or black numbers that a Roulette wheel makes somehow affects the way in which a player should approach playing the game, implying that the mathematical rules are continuously altered as a game progresses.

Of course, as this article has shown, this is simply not the case. On the contrary, odds, equations, percentages, and house edge always remain rigidly the same no matter how many times in a row the ball lands on red or black.