Can You Beat Roulette Using Maths?

Can You Beat Roulette Using Maths?

Roulette, like any casino game, uses maths to predict the outcome of each spin. Each outcome has a specific mathematical probability, as the table contains numbers 1 to 36. There are also several other possibilities, as you can bet on the outcome of specific group bets and smaller groups of numbers.

Other casino games, such as poker and blackjack, also use maths to predict the outcome of each hand. As each deck of cards has a set amount of suits and card numbers within that suit, it can be relatively straightforward to predict the outcome of each hand. In games such as roulette, you have much more chance of picking out red or black than picking out a specific number.

While some professional blackjack and poker players implement maths and probability into their strategy, you can also implement some mathematics into roulette. However, as poker and blackjack both use strategy and psychology to some extent to gain the upper hand, the same can’t be said for a game of roulette. For example, you can bluff your way out of a bad hand in poker, and roulette is a game based on complete chance.


Roulette has a host of mathematical odds, you can bet on the following:

  • Individual numbers return a massive prize of 36/1 if that specific number is drawn.
  • Vertical rows that stretch down the table (2/1 odds)
  • 1st, 2nd or 3rd dozen. Much like vertical rows, it returns odds of 2/1. You can bet on set dozens (1-12, 13-24, 25-36)
  • Red or black - (You have a 48% chance of hitting either red or black; it isn’t straight down the middle because of the inclusion of the zero. These odds decrease to 47.4% in the American version as their table uses a double zero and a single zero. The European roulette, as we have stated, only has one.)
  • 1-18 or 19-36, you can bet in groups of halves, which splits your bet right down the middle of the table, more or less. That is unless zero or double zero comes in! This returns the same odds as red or black due to the zero and double zero. However, the bet calculation remains the same.
  • Odds or evens - this outcome has the same probability as above for the reasons stated.

As you can see in the samples above, maths signals the high unlikelihood of a singular number you have bet on from landing in that section of the roulette wheel. So, in case you are looking for a place to play roulette you should have these probabilities in mind.

However, you become more likely to place a winning bet as we move further down the table. Even though the odds decrease, so your return is much lower, you still have a much higher likelihood of winning one of the games.


If you apply maths and probability to roulette, you must remember that it is a game of complete luck. There isn’t any likelihood that you can devise a strategy that will guarantee results. As this article discusses, you are much more likely to win if you bet further down the board on set groups.

This includes groups such as red or black or odds or evens. This is probably the only example of using maths to your advantage in this game. The odds are very slim of you choosing a single number to land.

In theory, you could lose all of your money in quite a devastating fashion if you stick to trying to hit a big win with one number. If you find yourself gambling more than you can afford to lose or chasing losses, ensure you stop and speak to somebody who can help.

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