So, you’re wondering what the D’Alembert roulette strategy is all about? You’ve come to the right place.
Whilst the game of roulette is entirely down to luck, and the results of a roulette wheel are absolutely unpredictable, choosing a strategy for your roulette game can help you to manage your bankroll responsibly and efficiently.
This guide will explain the origins, principles, and rules of the strategy, along with examples, pros and cons, and twists on the strategy.
In summary, you’ll get access to all you need to consider when thinking of using the d’Alembert roulette strategy.
D’Alembert Roulette Strategy: Explained
If you’re new to the D’Alembert strategy, have used it in other social casino games like blackjack but wonder how to apply it to roulette, or are considering different roulette systems, let’s dive into the whats, hows, and whys of the D’Alembert system.
How Does the D’Alembert Betting System Work?
- Start by playing a certain amount
- In the event of a loss, increase the play by one unit
- If it is a tie, keep your play the same
- When you win, decrease the play by one unit
- Return to rule two and repeat until you hit your goal or have reached your sensible limit
As you can see, D’Alembert is pretty simple to get your head around. However, it might help to see it illustrated in an example.
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D’Alembert in Action
In this example, the unit size is 1 GC. Despite having three losing plays in a row, the return at the end of five roulette spins in 1 GC using the D’Alembert strategy:
Spin Value | Spin Outcome | Spin Result | Return |
---|---|---|---|
1 GC | Loss | – 1 GC | – 1 GC |
2 GC | Loss | – 2 GC | – 3 GC |
3 GC | Loss | – 3 GC | – 6 GC |
4 GC | Win | + 4 GC | – 2 GC |
3 GC | Win | + 3 GC | 1 GC |
If the number of losing plays is the same or more than the number of winning plays, the net return can be calculated by the following formula:
- W-D*(D+1)/2
- W – number of winning plays
- D – losing plays – winning plays (ie, the difference)
Plugging in the numbers from the above example, you get:
- 2-1*(1+1)/2 = 1
Here, the net return using the D’Alembert strategy is 1 GC, as demonstrated.
But What Exactly is the D’Alembert Roulette Strategy?
The D’Alembert strategy was named after French mathematician Jean-Baptiste le Rond d’Alembert and was invented in the 1800s. It is still widely used today, despite its age.
D’Alembert suspected that three tosses of a singular coin differed from tossing three separate coins. He believed that tails would be more probable after landing on heads multiple times, which forms the basis for this strategy.
When to Use the D’Alembert Strategy
This strategy is only fit for use on ‘even plays’ – in other words, any play that has roughly even odds. With the house edge and the 0 and 00 pockets of european roulette and american roulette wheels, this will never be a 50/50 play – but it’s close at around an average of 48%.
In roulette, even plays include:
- Red or black
- Odds or evens
- Low numbers or high numbers
Put simply, the D’Alembert strategy involves increasing or decreasing the playing value each spin of the roulette, depending on whether you win or lose. For example, if you’re playing roulette at a social casino and you place 2 Gold Coins (GC) on the first spin and win, you would decrease by 1 GC on the next spin. If you lose, you’d increase by 1 GC on the next spin.
Due to the pattern that this play strategy charts, it may also be known as a pyramid, seesaw, upwards and downwards, or Montant et Démontant strategy.
Essentially, the D’Alembert strategy can roughly even out the spin values and returns over time, as it doesn’t matter how many times you win or lose or in what order they come. D’Alembert can still see a return even if there are more losses than wins.
With that being said, it is important to remember that this is only a strategy for managing bankroll, as roulette is a game that relies mainly on luck.

Should You Consider the D’Alembert Roulette Strategy?
Just like all other roulette strategies, there are some key things to consider before trying the D’Alembert strategy. Let’s take a look at some pros, cons, and alternative styles.
Pros of D’Alembert
Some of the benefits of using the D’Alembert roulette strategy include the following:
- Some people would consider this strategy as being similar to the Martingale strategy, but less risky. For this reason, many players prefer the D’Alembert strategy to reduce this risk.
- D’Alembert is very simple to understand compared to other roulette strategies, as it doesn’t require much strategic thinking. You don’t need to change the play type, simply increase or decrease the coin placement value by one unit at a time.
- The play amount is set by you, rather than the strategy. This means you have complete control over the coin placement value, making it easier to set responsible limits and manage the play you have to hand.
- It can help to rebalance returns, even if the net losing plays outnumbers winning plays.
- A slower, measured approach to bankroll, which makes it appealing to players who are more cautious in their plays.
Cons of D’Alembert
On the other hand, some negatives of the D’Alembert strategy are listed below. It is always important to consider both the pros and cons of any strategy before choosing the right technique to suit your playing style.
- The D’Alembert strategy is focussed more on evening out plays. With this in mind, it is lower risk and, therefore, means it is unlikely that you’ll see big prizes.
- Roulette is a game of chance. Whilst the D’Alembert strategy is good for managing play values and setting manageable limits, there is still an element of luck involved that no strategy will mitigate.
- D’Alembert is known as a ‘negative progression strategy’. This means you play more as you lose more. So, this essentially requires players to catch up to their losses by using more coin placements, which can make it unsuitable for those with minimal GCs to hand.
- This strategy, like all other roulette strategies, cannot beat the house edge in the long term.
- It is founded on the idea known as ‘player’s fallacy’, which is the belief that past spins will affect future spin results. Of course, roulette is entirely down to luck, so the behavior of the roulette wheel cannot be predicted – each spin is independent of the one before.
Alternative Roulette Strategies to Consider
There are many other roulette strategies that you might like to consider, including but not limited to:
- Martingale
- Paroli
- Fibonacci
- Labouchère
- 64%/Two Dozen
- James Bond
Some are similar in progression to D’Alembert, others not so much. They offer different approaches which will also depend on the bankroll available.
Try Out the D’Alembert Roulette Strategy
If you’re looking to test and explore different roulette strategies, you can play a variety of roulette games for free at our social casino. This allows you to try out a range of roulette strategies to see what works best for your playing style.
With the knowledge of D’Alembert fresh in your mind, there’s no time like the present to take the strategy out for a test run with free roulette games at McLuck social casino.