In-depth Blackjack Strategies using D’Alembert System

February 19, 2021
Blackjack Strategies using the D’alembert Betting System

Ever thought of using the D’Alembert system while playing a game of online blackjack? If not, then think about it the next time you play this popular table game. The strategy is pretty simple, especially if you compare it with tricks such as Labouchere, for instance. 

So, the core idea is quite similar to the classic Martingale system, however, with one key difference – which is the “bet progression.” 

In the D’Alembert approach, the bet progression is flatter, resulting in one of the easiest and safest to execute the blackjack strategies.

So, let me explain it to you in detail today. 

What is the D’Alembert Betting System?

The D’Alembert betting system is named after the mathematical genius and French philosopher, Jean Le Rond D’Alembert. In the 18th century, D’Alembert tried to create a safe and more profitable betting system that could be used at casinos. 

His strategy turned out to be an adaptation of the famous Martingale & Great Martingale System. And like these two systems, the D’Alembert is also a negative progressive betting system. 

The D’Alembert strategy is really simple. It entails setting a base stake that is used across the game and then placing your wager on your preferred even bets. 

Since it’s a progressive system, the stakes increase or decrease, depending on the outcome. This is where the difference between the D’Alembert and the Martingale and Great Martingale system is seen. 

  • In the D’Alembert system you only have to increase your stake by 1 unit once a loss occurs and decrease it by the same 1 unit when you’ve generated a win. 
  • The progression is less aggressive, making it safer and more reliable. 

The Basics of D’Alembert Betting System

The D’Alembert System is based on the law of equilibrium, which suggests that a long-term balance of wins and losses will eventually occur while playing any game of chance. 

Thus, according to this theory, you have more chances to win after a losing streak and are also more likely to lose after a winning streak. But note that this will only occur during extended or long-term games.

  • The system works best with even-money bets, which have almost equal odds of winning and losing. 
  • The logic behind this strategy is that it’s possible for you to reduce and recoup your losses by increasing your bets by one unit every time you lose a game. 

By doing this, you’re matching your potential future payouts with each unit you increase your losses by.

Since the bets increase linearly and there’s also a high chance that the frequency of the wins and losses will eventually balance out (in a long-term game), it is safe to say that the losses can be recovered. 

However, because of the low increments of the bets, the players would require a lot more wins to make a decent net profit.

Because of the simplicity and seemingly lower risk of this strategy, it is also applied to other top casino games such as Roulette and Baccarat.

How does the D’Alembert System work?

Basically, the D’Alembert strategy is designed to work for even bets. These are bets that have close to 50% chance of winning. 

They usually include bets with only 2 outcomes such as:

  • Red/Black
  • Even/Odd
  • High numbers/Low numbers

So, in theory, the frequency of both outcomes should balance out. 

A long series of even numbers is only temporary and will eventually be followed by a long series of odd numbers.

The strategy has a negative progression pattern. This means that you have to raise your bet after encountering a loss and lower it on a win. 

It’s a simple strategy with the following rules:

1. Set your base unit

The first thing to do is to set your base unit. This is a very important step because your base unit will serve as the backbone of your D’Alembert strategy. Ideally, your base unit should not exceed 5% of your bankroll. 

Experts even claim that it should be no more than 1%, with 0.33% or 0.5% being the safest amount. For instance, if you have a bankroll of ₹200, you can start with a unit worth ₹2 or ₹10. 

This is simply to ensure that you don’t lose a lot within a short period, especially while betting with real money online. This is because you’ll be raising your bets. 

However, at the end of the day, you have the final say. Your base unit can be as modest or large as you wish. 

2. Stick to your initial wager until you lose

While playing at any live casinos and dealing with real money, it is easy to get tempted to increase your bets with an intention to increase your profit. But please do not do this. Stick to your base wager for consecutive rounds UNTIL YOU LOSE. 

3. Raise your bet by 1 unit after each loss

Your base unit counts as 1 unit. So whenever you lose, you’ll be required to raise your bet by your base unit. 

For instance, if you set your base unit to ₹10 and a loss was generated, you will have to raise your bet by ₹10 for the next spin, making it ₹20. Successive losses should have the progression ₹30, ₹40, ₹50, etc. until a win occurs. 

4. Decrease your bet by 1 unit after each win

Once a win occurs, you can decrease your bet by unit. Using the above example, if the generated win after betting is ₹50, you can reduce your bet to ₹40 for the next round. If you have three consecutive wins after that, you’ll be back to your base unit of ₹10.

5. Repeat and monitor the process until you’re satisfied

Continue to bet your base unit again until a loss occurs. Repeat the process of increasing and decreasing your bet following the right conditions. Also, monitor the game. Luck (and money) may not be on your side. So, you need to know when to accept defeat and stop playing.

In summary, this is how the D’Alembert system works:

  • Set your base unit and bet 1 unit on any condition of your choice. 
  • Keep betting the same 1 unit until you lose. 
  • As soon as you lose, increase your bet by 1 unit. 
  • Do this for every losing round. 
  • If you start to win again, reduce your bet by 1 unit and keep doing so until another loss occurs. 
  • If you’re lucky, your winning streak will last long enough for you to recoup your losses. 
  • If not, try to recoup as much as you can before the game starts to get dangerous. 
  • Don’t lose your bankroll.

The concept is really simple and it also cushions you against huge losses on your bankroll. For a better illustration, let’s take a look at how a typical game of 10 rounds might go when you apply the D’Alembert strategy.

The game starts and you place your base unit of ₹10 on your desired bet. You win the first round and proceed to bet the ₹10 again. This time, you lose and have to bet ₹20 for the next round. The rest of the game plays out this way:

Round Bet Outcome Total Profit
1 ₹10 Win ₹10
2 ₹10 Lose -₹10
3 ₹20 Lose -₹20
4 ₹30 Lose -₹30
5 ₹40 Win ₹40
6 ₹30 Win ₹30
7 ₹20 Lose -₹20
8 ₹30 Lose -₹30
9 ₹40 Win ₹40
10 ₹30 Win ₹30
Total Bet = ₹260 Total Profit = ₹40

From the table, you can see that even when you have equal wins and losses, you get a profit. Although the profit is quite small for a huge bet, it is still nice to know that you recover your losses and gain a little extra. 

The D’Alembert Strategy for Blackjack

The D’Alembert Blackjack strategy is easy to master but must be used with caution. This is because, even though it is less dangerous than the Martingale system, it is still a risky negative progressive betting system.

Let’s examine the example below:

Assume that you sign up for a Classic Blackjack game with a small bankroll of ₹100. You’ve got your cards from the dealer and place a ₹5 chip on the table. 

  • In the first round, the dealer had a better hand than you and so you lost. 
  • For the next round, your bet is ₹10 (since ₹5 represents 1 unit). 
  • Once again, the dealer won. 
  • It sucks but you have to increase your bet again to ₹15 for the next round. 

The game goes on for 5 more rounds and eventually yields the following results:

Round Result Bet Your Balance
1 Dealer wins ₹5 -₹5
2 Dealer wins ₹10 -₹15
3 Dealer wins ₹15 -₹30
4 You win ₹20 -₹10
5 You win ₹15 ₹5
6 Dealer wins ₹10 -₹5
7 You win ₹15 ₹10
From the table above, you can see that this blackjack strategy proved profitable even though you suffered 4 losses and only 3 wins. 

You recovered your losses and still gained a profit of ₹10, twice the amount of your initial wager. This means that you only need a few consecutive wins. 

While this is a rather exciting result, you need to understand that you might not be able to win several consecutive rounds. This strategy can disappoint you in the long run and hurt your bankroll. 

Here’s another case that could occur when you use the D’Alembert Blackjack strategy:

You start another game of blackjack where a ₹1 chip is the minimum bet. Not knowing how the game will play out, you decide to be safe and bet the exact minimum. 

After placing your ₹1 chip on the table, the cards are revealed and it appears that the dealer has you beat. After the loss, your next bet is ₹2. 

You lose again and bet ₹3 for the next round. Finally, you have a great hand and you win that round. Your bet then reduces to ₹2. In the last round, you lose again. 

Round  Bet Result Balance
1 ₹1 lose -₹1
2 ₹2 lose -₹3
3 ₹3 lose -₹6
4 ₹2 win -₹4
5 ₹3 lose -₹1

1 ⇒ lose ⇒ 2 ⇒ lose ⇒ 3 ⇒ win ⇒ 2 ⇒ lose ⇒ 3

In this case, you weren’t so lucky to have consecutive wins. At the end of the day, you weren’t able to recover all your losses. 

Advantages & Disadvantages of D’Alembert System

Although the D’Alembert Betting System is safer than most, it still has certain drawbacks. You should consider the following advantages and disadvantages before deciding to apply this strategy.


  • The losses don’t hit as hard
  • Better control of your bankroll
  • It is suitable for extended plays
  • You can make short-term profit 


  • It was designed specifically for long-term plays 
  • It takes time to recoup your losses in full
  • It doesn’t stop long losing streaks

My Final Words

The D’Alembert strategy is quite simple to understand and apply. This is among the main reasons why it is so popular amongst avid gamblers. 

But the thing is, you can’t use logic or statistics to beat any game of chance. You can only utilise it to mitigate your losses and maybe, slightly increase your odds of winning. Nevertheless, this is a good strategy for Blackjack, especially for beginners. 

It is a relatively safe system that cushions your losses and also helps you manage your bankroll more effectively. 

With this strategy, you can confidently get into (or log into) any of these reputed Indian online casinos and place your bets without any hesitation. 

Having a proper structure to follow is also a lot more fun than just randomly placing your chips on the table.


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