Best Mathematical Roulette Strategy

Casino games are designed with an advantage over the player in the long run. The bigger the house edge, the worse the game. But roulette has mathematical strategies to reduce the edge and boost your chance for big wins.

Gamblers are constantly looking for convenient ways to beat the casino. Though the odds are always in favor of the house, there are some methods that can boost your chances of winning in roulette.

Contrary to Einstein's belief that one cannot win at a roulette wheel unless he steals money. You can use a mathematical trick to maximize your winning opportunity in any game. The easiest way is to apply Einstein's specialist subject of Physics to beat the house edge or to find a biased wheel where certain numbers are more likely to show up.

One fact about roulette is that each spin is an independent trial and the casino always wins in the long run. This is different from popular games like blackjack, where the odds of winning change as more cards are dealt. But some ardent players believe that they can take advantage of the roulette wheel and the way the betting cloth is set to beat the house.

This article covers the best mathematical strategies you can use in roulette to increase your chances of winning big.

Understanding the Roulette Wheel

The odds and house edge in roulette vary depending on the wheel you are using. There are three main roulette versions, the European, American, and French roulette wheels. The key difference between these games is the types of bets and payouts of odds.

The European and French roulette wheels have 37 pockets and a single zero that gives it a house edge of 2.7% on any money you wager. The American wheel, on the other hand, has 38 pockets, including a single zero and double zeros and an edge of 5.26%.

Each roulette wheel has numbers arranged in different patterns, while the red and black pockets alternate on the wheel. If you delete zero pockets from the American wheel, the red and black numbers will follow a consecutive sequence.

However, both roulette wheel structures violate various rules. In the first place, you'll find the low number 5 placed next to 10 on the wheel. Also, the European and American wheels distribute odd and even numbers as evenly as they can.

Two other interesting symmetries where the European roulette violates rules are:

  • Placing all the low red and black numbers on one side of the zero and the high red and ow black numbers on the opposite side.
  • The roulette wheel sequence 29-7-28-12-35-3-26-0-32 lacks numbers between 13 and 24.

What are the Best Strategies to Beat Roulette?

Now that you understand how the roulette wheel works, it's time to know the most successful roulette strategy you can use to win. Nevertheless, you must understand that these systems will not give you 100% profits or winning opportunities. Make sure you understand how each system works and the risks that are involved before you employ it. The most reliable mathematical roulette strategies are:

The Martingale System

The Martingale system has been one of the best strategies you can use in any roulette game. It is best recommended for beginners who are still learning the ins and outs of the game. The idea behind this strategy is to bet on even-money outside wagers. Since these bets have even odds of 1:1, you are sure of landing frequent but small wins. With this wager, if you win, you keep your profit and bet with the same small amount. However, if you lose, you must double your bet and continue betting until you win. The logic is that you will eventually win back the lost chips and retain the profit you got. Do understand that the Martingale system requires a sizable bankroll to make good profits.

The Fibonacci System

The famous Fibonacci system was named after an Italian Mathematician. This system is not only used in roulette but other areas of life like financial trading. Though the strategy may look complicated, it is straightforward. The Fibonacci sequence is 1-1-2-3-5-8-13-21-34-55-89-144-233-377-610. The strategy starts with a single unit bet on even money bets. Whenever you have a loss, the next bet becomes the total of the initial two numbers combined. However, you must move back two numbers in the Fibonacci sequence if you win.

The D'Alembert System

The best roulette strategies are not complete without highlighting the D'Alembert system. It is a newbie-friendly strategy that combines the best elements of the Martingale system and makes them better. Moreover, this system doesn't exhaust your bankroll like other strategies. The first step in this system is to wager a unit value like preferred and place chips on any even money bets. You must increase your stake if you lose and decrease when you have a winning streak. The logic behind the D'Alembert system is that you will gain profit after getting an even number of losses and wins.

The Labouchere System

The Labouchere system is best suitable for more experienced and pro-roulette players. As with other systems, Labouchere works on even-money wagers. It starts with predicting beforehand the amount you wish to win before betting. Once you have picked the bet amount, you split it into smaller numbers.

For instance, if you want to win $20 in your next round, you can split it as follows:


Here, you pick the number on the far left and add the number to the far right. If you are lucky to win, you must cross out the numbers and wager again with the fast and last remaining number. Nonetheless, you must add the original bet to the value of the last number.

The James Bond Strategy

The James Bond betting system was named after the famous British spy and developed by Ian Fleming. With this strategy, you must have 200 chips and use them on European roulette. The first step is betting with 140 chips on the high numbers (19-36), spread 50 chips over numbers 13 to 18, and then 10 chips are for insurance. This way, you are guaranteed profit in all circumstances unless the ball lands in boxes 1 to 12. According to Fleming, he was sure of winning the prize of dinner using this strategy.

How to Choose the Best Mathematical Roulette Strategy

Though we have multiple successful roulette strategies, the challenge comes in picking the best to use. We have provided tips and tricks that are used by professional roulette players to give you insight into how best to do it. The factors you must consider are:

Practice with the Free Mode

The best online casinos provide players with different versions of roulette games. Even though you cannot win real money with the free games, you gain experience in the long run. Moreover, free games are best for testing different strategies and perfecting the winning opportunities.

Play at Licensed and Regulated Casinos

A reputable online casino must be licensed and regulated by a recognized authority. There are many recognized licensing authorities in the iGaming industry, including Malta Gaming Authority, Curacao eGaming, and the UK Gambling Commission. These authorities ensure that all games and other services meet the required market standards.

Eligible Roulette Games

Betting strategies don't cut across all roulette games. This is because different roulette games have varying odds. You can either pick a roulette system that is open to all games or narrow it down to a specific version of roulette. Most strategies work on common roulette games like American roulette, European roulette, and French roulette. The more games a system supports, the better.

Keep in Mind the Betting Limits

It's equally essential to know the betting limits of different roulette games. The reason is that some strategies require you to play with big stakes that may exceed the table limit. Ensure you consider your bankroll before choosing the bet limits.

Supported Bet Types

Each roulette system focuses on specific types of bets. To apply the strategy successfully, you must ensure that you understand how each wager works. Most betting systems cover outside bets because they have bigger payouts, and the odds are stacked against you.

Do Mathematical Roulette Strategies Really Work?

Going by Einstein's words, the only way to beat roulette is by stealing chips from the table. However, whether Einstein was right or not, roulette is still an incredible card game for new and expert players. From the strategies we've shared, you now understand how they use mathematical calculations to boost your bankroll. Nevertheless, using a mathematical technique doesn't guarantee that you will definitely win. In fact, some strategies could potentially lead to big losses if they are not used well. Most of the strategies we've shared require you to play the outside bets. These wagers alone will give you a 50% chance of winning. Please remember that roulette is a game of luck, and the outcomes are based on chance more than strategy.


Roulette is an exciting game to play. Using the different mathematical systems we have highlighted will help you win at roulette. Moreover, roulette has many types of bets with better odds of winning than other games. As aforementioned, while the strategies are essential, you need to understand the rules and other basics. Also, frequent practice of roulette will help you to create a strategy to help you win.

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