Roulette Strategien - D'Alembert Strategie

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D’Alembert is a simple but very popular strategy on the roulette table . It is the perfect choice for players who primarily want to have a chat while playing roulette and are less concerned with the big wins. Some also refer to this strategy as the low-risk variant of the Martingale strategy . There are some similarities, but also significant differences. In the following article we would like to take a closer look at these differences with you, get to know the history of the D’Alembert strategy better and demonstrate to you how it works and what its advantages and disadvantages are.

Die Geschichte von D'Alembert

The D’Alembert strategy was developed by a French mathematician and physicist named Jean-Baptiste Le Rond, known as D’Alembert. This D’Alembert based his method on Martingale and tried to eliminate the disadvantages of Martingale in his own strategy.

D’Alembert lived in the 18th century and had a promising theory. He assumed that results with a 50% distribution of chances always balance each other out at some point and every result occurs equally often in the long term (so you only rely on the simple chances and zero remains out of consideration). His conclusion: If outcome A occurs several times in a row, the chance of B must increase. In roulette this means: the more often a red number appears in a row, the greater the chance of a black number in the next round of the game. After all, in the long run, both results should occur equally often. The assumption is of course completely correct statistically that red comes just as often as black. If you look at a thousand or more games, it is probably exactly the same. On the other hand, if you look at 100 games, there should be considerable deviations upwards and downwards. And when it comes to 10 games, the statistic is absolutely meaningless.


Nowadays we know that Monsieur D’Alembert was practically simply wrong, because which player has such a budget and so much time to wait for the statistical mean? The chance of a certain result in the next game is always the same in roulette . If a red number has already won 20 times in a row, the chances of a red or black number on the next throw are still the same. The statistical value can only be approximated if there is a very large number of random results. And even then there is no safe “automatic” equalization to 50:50. Those who are interested can find out more under “Mathematics of Large Numbers”.

It remains to be noted that the simple odds are not 50:50, taking into account zero, but are less than 50%.

So funktioniert D'Alembert

The D’Alembert strategy can easily be used on the roulette table for all single chances that double your stake, i.e. red / black, even / odd and 1-18 / 19-36. So the rate is always 2.0.

Before you can get started with D’Alembert, you need to determine your stake that you want to play with. Every time you lose, you increase your stake by one unit, while if you win, you decrease your stake by one unit. Of course, if you win a stake with your original stake, this rule does not apply. In this case, you will place the same bet the next time. Each unit corresponds to your basic stake. In principle, you only increase or decrease your stake by the basic stake.

For example, if you decide to place a basic stake of € 1, place a bet on red and lose, you have to add € 1 the next time and accordingly place € 2 on your next bet. If you lose again, add € 1 again and bet € 3 the third time. If you win with the € 3, – stake, reduce the stake by one unit (€ 1, -) and bet only € 2, – next time.

how D'Alembert works

The main argument for using the D’Alembert strategy is: every time you reach a point in the course of the game at which you have given the same number of correct and incorrect result tips, you will also make a profit. And that win is equal to your stake multiplied by the number of correct tips. The following table illustrates this:

round mission profit loss Change of bet balance
1 € 1, – X Raise € 1, –
2 € 2, – X Raise € 3, –
3 € 3, – X To decrease € 0, –
4th € 2, – X Raise
  • € 2, –
5 € 3, – X To decrease € 1, –
6th € 2, – X To decrease € 3, –
7th € 1, – X Raise € 2, –
8th € 2, – X To decrease € 4, –

As you can see from the table, four winning and four losing rounds, played with a base stake of € 1, result in a win of € 4. That equates to four successful rounds multiplied by your stake.

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Vor und Nachteile

D’Alembert is an easy-to-use strategy that can make your roulette experience more attractive and fun at the same time. As with any strategy, there are unfortunately no guaranteed profits. But compared to others, especially the Martingale strategy on which D’Alembert is based, it offers a low-risk way to have fun at roulette. Since the stake is only changed by one unit, the stakes only rise to very large sums in rare cases. Your losses are therefore much easier to keep under control. For example, suppose you are wrong with your bet eight times in a row, you can clearly see the difference between the stakes on Martingale and D’Alembert in the following table:

round Martingales D’Alembert
1 € 1, – € 1, –
2 € 2, – € 2, –
<3 € 4, – € 3, –
4th € 8 € 4, –
5 € 16 € 5, –
6th € 32 € 6
7th € 64, – <€ 7, –
8th € 128, – € 8

You can see from the table that with Martingale you would have to bet € 128 in the eighth round to make up for your losses, while with D’Alembert it is only € 8. The lower stakes then of course also lead to lower profits, which can definitely be seen as a disadvantage of D’Alembert. But it is much easier to make up for your losses. The bottom line is that thanks to D’Alembert you can have much longer fun at the roulette table.


D’Alembert builds on the Martingale strategy, but carries far less risk. Since the stakes only increase by one unit, there is no danger that they will skyrocket. Losses can be limited in this way. While that sounds very positive, your winnings cannot reach extraordinary heights. Thus, the strategy is best suited for players who want to have fun with roulette for a particularly long time, who primarily want to be entertained and who like to fall back on a pleasant and well-thought-out strategy.

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