D’Alembert strategy

Finding your ideal roulette strategy can maximize your returns from the game.

The D’Alembert strategy is one popular roulette and baccarat system that players have used successfully.

D'Alembert strategy
D’Alembert strategy

In this short guide, we will explain how the system works and outline the key pros and cons of using it.

Origins of the D’Alembert strategy

The D’Alembert strategy is named after Jean-Baptiste le Rond d’Alembert, a French mathematician who pioneered the strategy in the late 18th century.

He used his vast knowledge of physics and maths to formulate the strategy.

How does the D’Alembert strategy work?

The D’Alembert strategy has many similarities with the popular Martingale strategy.

The main one is that you increase your stake size after a losing bet and decrease your stake size after a winning bet.

Another similarity to the D’Alembert system is that you place bets on the even money areas of the table — red/black, high/low, odds/evens.

Step-by-step guide to the strategy

1. Select your base unit

The first step of the D’Alembert strategy is to decide upon the base unit for your stakes.

This will be dictated by your bankroll and your risk aversion. Most players opt to use around 2% of their bankroll.

2. Place your stake

For your initial bet using the D’Alembert system, you place a base unit stake on one of the even money options on the roulette table.

3. What to do if your bet loses

If your initial even money bet losses, your second bet needs to be double your first bet.

For instance, if you place a $1 bet on evens, and it loses, your next bet should be $2 on an even money bet.

Should this second bet also lose, your third bet needs to be $3. In other words, each losing bet means your next bet increases by one base unit.

4. If your bet wins

Should you be successful with your first bet, you need to use the same stake of one base unit for your second bet.

If you are at a point where your stake is multiple base units (i.e., after you have lost a bet(s)) and place a winning bet, you need to reduce your stake by one base unit for the next bet.

The principle of this system is that you will win and lose roughly the same amount of bets. However, on average, your winning bets will be placed at higher stakes than your losing bets.

Because of this, you should, in theory, beat the bank when using the system.

Advantages of the D’Alembert strategy

Low variance

Whilst the Martingale system requires you to double your losing stakes, D’Alembert involves adjusting your stake by just one base unit every time.

As such, you are less likely to incur big losses.


Even if you only have a basic grasp of mathematics, you will find the D’Alembert system very easy to pick up.

Unlike other systems that require you to double (or half) your bets, D’Alembert just requires you to adjust your stake by one base unit each time.

Suitable for low bankrolls

Unlike some other strategies, the D’Alembert strategy does not require you to have a large bankroll.

You should have no issues if you stick to a base unit of 2-3% of your bankroll.

Disadvantages of the D’Alembert strategy


No matter which system you use, losing streaks are still a possibility. I

f this happens with the D’Alembert system, you can only recoup your losses by hitting an equally good winning streak.

Low variance

Yes, low variance can help you avoid big losses, but it also restricts your chances of landing big wins.

This is because your stakes change only by one base unit each time.


Overall, this is a solid low-risk strategy for baccarat and roulette players. You are unlikely to incur any heavy losses when using the system.

But that being said, you are unlikely to make any large profits.

Essentially, it is a safe option that allows you to control your bankroll without needing to be a maths expert.


What games can the D’Alembert system work for?

Roulette and baccarat are the most popular games to use the system. This is because both games have even money bets. The D’Alembert system can also apply to craps if you place pass/don’t pass bets.

Is D’Alembert the best strategy for roulette?

That comes down to your individual circumstances and preferences. If you have a relatively low-risk aversion and are operating on a fairly small bankroll, then the D’Alembert system could be perfect for you. It allows you to control your bankroll and is unlikely to involve you placing bets that expose a large percentage of your bankroll.

When should I stop using the D’Alembert system?

If you have either reached a profit amount that you are happy with or made a loss that threatens to become uncomfortable. Before you start using the system, we highly recommend establishing the win and loss thresholds you will stop at.