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The D’Alembert Betting System Explained

D'Alembert Roulette Strategy Header


In the dynamic world of roulette strategy, the quest for an optimal betting system is as old as the game itself. Among the many tactics devised by enthusiasts and mathematicians alike, the d’Alembert progression stands out for its simplicity and measured approach to wagering. Building on this classic foundation, Karl Alexander introduced a nuanced variation that promises to refine the player’s edge. Dubbed the “Alexembert,” this strategy reimagines the traditional d’Alembert progression with a twist that caters to the modern gambler’s need for flexibility and control. This article delves into the mechanics of the Alexembert, comparing it with its predecessor and exploring how it can be integrated with other betting strategies for a more robust roulette experience.

The Strategy

The Roulette researcher Karl Alexander delivered an interesting improvement of the d`Alembert progression decades ago. He named his version of the d`Alembert Roulette strategy: Alexembert.

The original d`Alembert progression follows an arithmetic row:
1 – 2 – 3 – 4 – 5 – 6 – 7 – etc.

It always starts with a base bet of 1 unit. After a loss, the bet size in the next stage is raised by 1 unit and after a win, the bet size for the next stage is reduced by 1 unit.

Example 1:

Alexembert blackjack

The “Alexembert” uses the same principle, but with varying arithmetic rows like for example:

· 1 – 3 – 5 – 7 – 9 – 11 – 13 – etc.

· 1 – 4 – 7 – 10 – 13 – 16 – 19 – etc.

· 1 – 5 – 9 -13 – 17 – 21 – etc.

You can see that the increments between the single stages of this progression are higher than in the original d`Alembert Roulette strategy.
Now the trick here is that the number of bets in each stage is equal to the difference between the stages with the intention to place lower bets during losing streaks and higher bets during winning streaks.

If the difference is 2, as in the first row, we bet each stage up to 2 losses or 2 wins ( – / + cancel each other ).

Although the result in the second example is only +1 compared to +2 in the first example, we need only 17 units instead of 20 units in the first example.

Example 2:


Following is a comparison with a win/loss sequence of


The highest bet with the d`Alembert is 6 units, and the highest bet with the Alexembert is 3 units!

The d`Alembert needs a total of 51 units to get to + 3, the Alexembert needs only 22 units to get to + 6!

The next comparison is from

· spin No.1 to spin No.17,

· Spielbank Hamburg, Table No.1,

· 2002-09-01,

· Even / Odd,
betting on the last spin (we do not recommend this betting selection, it is only to make the progression clear).


Again the Alexembert shows its advantages: net gain of 6 units with a total of 32 units wagered, whereas the original d`Alembert needs 46 units to gain net of 4 units.

Combine the “ALEXEMBERT” with a betting strategy of your choice and do some trials. A few you may be interested in looking over are the Various Progressions strategy, the VK’s Grand Martingale strategy or the Whittacker Progression for Doz & Col Bets strategy.

Maybe you can add some stop limits or fictive betting after a couple of losses and do some calculations concerning the bankroll needed for your adaptation of the “ALEXEMBERT”.

If you lose a bet due to zero /double zero, repeat the bet. The amount lost due to the zero appearance is not affecting the progression, it has to be subtracted from the session balance.
If you play at a table with the “en-prison rule” effective, we recommend splitting the bet with the Casino and then repeating the original bet.


The Alexembert strategy emerges as a thoughtful evolution of the d’Alembert system, offering a fresh perspective on risk management and bet progression. By adjusting the arithmetic rows and aligning the number of bets with the stages of progression, the Alexembert aims to cushion the volatility of a roulette session. Its strategic application, coupled with other betting strategies, could potentially lead to a more favorable outcome. However, as with any betting system, the importance of discipline and bankroll management cannot be overstated. The Alexembert, while innovative, is not a magic formula for success but rather a tool to be used judiciously within the broader context of responsible gaming.

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About the author

Jennifer Lynn
Head of Content
Jennifer Lynn has spent 14 years working in the online casino industry, making her a real expert in the field. She's not just skilled at writing about casinos; she also has a deep interest in online gambling games and is a passionate researcher and player. Jennifer offers her expertise on a range of casino games and the smart strategies to use. But her life isn't all about gambling and casinos. She also loves riding horses and practicing yoga, showing that she knows how to balance her professional interests with personal passions.
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