d'Alembert Baccarat system explained

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d'Alembert system

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The d'Alembert gambling system is a negative progression system.

In simple terms, you raise the bet when you lose and lower it when you win.

Invented by French mathematician Jean le Rond d'Alembert, it is based on 'the equilibrium of nature' which means it works when you get an even number of wins and losses for the same bet.

For that reason, it is often used by Roulette players looking for a system on the Even-money bets.

Sequence of bets

The sequence of bets in a losing streak is:

1, 2, 3, 4, 5, etc

The sequence of bets for 3 losses and 3 wins would be:

1, 2, 3, 4, 3, 2

Cancel losses with wins

The advantage of the d'Alembert system is that it doesn't chase losses, it gets them back slowly, always certain that in the long run the results will be 50/50.

The table below shows how the d'Alembert fared in our systems tests.

For a reminder of the tests we use, check out our systems summary page…


1. Alternating win
2. Alternating loss
3. Consecutive win
4. Consecutive loss
5. Good win
6. Bad loss

Overall result for all 6 tests


7 units profit
2 units profit
7 units profit
6 units loss
10 units profit
34 units loss

14 units loss

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Small, consistent wins

Like all negative progression gambling systems, a long streak of losing bets can cause moderate losses.

Our gambling strategy tells you to limit losses by deciding in advance how much you're willing to lose. The last test suggests going for no more than 5 or 6 consecutive losses.

If you're a medium-risk gambler, the d'Alembert system will suit your style. It gives you the chance to make consistent wins without the threat of massive losses.

Small losses

The test results above show that this system never results in huge losses and works really well for short winning streaks.

Like the Paroli, this gambling system doesn't cope too well with alternating results, but unlike the Paroli, losses are never that bad - even in the 'bad loss' test, it results in only a small loss.

Stable and simple

The d'Alembert gambling system has similarities with the Fibonacci, in that it's reasonably stable for alternating results, but unlike the Fibonacci system, even a mild consecutive losing streak results in a loss.

It has the advantage of being simple. The bets can be tracked as you go - there's no need to write anything down.

The stretched d'Alembert

Many roulette strategists swear by the d'Alembert system or variations such as the "stretched d'Alembert" - where the bets only change after a number of winning or losing bets e.g.

1, 1, 1, 2, 2, 2, 3, 3, 3, 2, 2, 2 etc.

Where to use the d'Alembert system

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