How does the D’Alembert strategy work?

Added: May 25, 2022

Last updated: April 18, 2023

The D’Alembert strategy is designed for betting on ‘even’ bets on games such as roulette, blackjack and baccarat

The strategy relies on the logic that the number of wins and losses eventually even out. For example, if you look at the game of roulette, at the end of a long session, there must be roughly the same amount of spins on Black as Red numbers.

To start using the D’Alembert strategy, the first step is to determine your stake unit (for example, $1), a bet size that can be any amount you prefer.

You start betting with one ‘unit,’ and every time you lose a bet, you increase your next bet with one ‘unit.’ If you win, you decrease your next bet with one ‘unit.’

The advantage of this approach is that it is very straightforward to implement. It works great if you aim for an equal amount of losses and wins as long as you do not have more than 5 losses in a row.

An example of a winning D’Alembert strategy

Example 1: Here, you see when the D’Alembert strategy works well. In this example, we have applied the D’Alembert strategy as a roulette strategy.

You always bet on Black and start with one unit (which could be $1).

D alembert strategy explained

Even when the number of wins and losses are equal, you end with a profit. The D’Alembert strategy works well if the number of wins and losses are pretty balanced.

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An example where the D’Alembert strategy fails

Example 2: Here, you see when the D’Alembert strategy gives negative results.

You always play black. You start with one unit (which could be $1).

D alembert strategy fail

you have a few more losses than wins, and it stays that way, your stakes end up being relatively large at the end of the session. In particular, if you lose the last 2 or 3 spins (with the higher stakes), you end up negative.

The D’Alembert strategy’s weakness is that the stakes become substantial at some stage (after the number of losses is greater than the number of wins).

One way to mitigate the downside risk is to apply limits. For example, you determine beforehand that your stake cannot exceed 5 units.

This way, you get to control the level of the stakes.

Check out my explanation of the Martingale, Reverse Martingale (Paroli) and the Fibonacci Strategy

Explanation of the Martingale Strategy

Explanation of the Reverse Martingale (Paroli) Strategy

Explanation of the Fibonacci Strategy

The best and worst Roulette and Baccarat strategies – does the D’Alembert strategy work well?

Best Roulette strategies – which of these strategies works best?

Best Baccarat strategies – which of these strategies works best?


The D’Alembert strategy is easy to understand and play, but also pretty risky. Once you start losing, the stakes become higher and before you know it, it can go pretty fast. Downhill!

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