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Testing and Analyzing d’Alembert System

Last updated: 05.04.2024 by Andrew Shepard

The d’Alambert system is quite popular, and if you have been using strategies to play roulette, then you are definitely familiar with it. In fact, it’s one of the most popular searches on Google, and we are not surprised. It’s easy and a little different than the more run-of-the-mill stratagems out there, which makes it particularly interesting to people who want to escape Martingale or Fibonacci. It was invented by Jean le Rond d’Alembert back in the 1800s and has been in good use ever since.

How Does d’Alembert Work?

So, how does this system work? Well, this is yet another system that works best and mostly on red/black, even/odd, and higher/lower types of bets. The idea is to pick a base unit of £5 and then raise it by £5 if we win and lower it by £5 if we lose. That is really how it works. However, the base unit should never exceed 1% of your bankroll, and yes – you can never go lower below 5%. OK, but can we get a practical example of d’Alembert? We definitely can! Here is one.

d'Alembert Strategy
  • Spin 1

    We bet £5, and we win. We do not change the bet as we have just started.

  • Spin 2

    We bet £5, and we lose. Now, we up the bet.

  • Spin 3

    We bet £10, and we lose. We up the bet by £5.

  • Spin 4

    We bet £15, and we win. We reduce the bet.

  • Spin 5

    We bet £10, and we win. We go back to £5 again.

How We Tested d’Alembert System

So, for our test of d’Alembert, we used Google Sheets. We also took a bankroll of £500 over 500 spins and set the base unit at £5. This was for our first player. Let’s take a look.

d'Alembert system

The result is actually interesting. We can see that the value of the bet grows. You started with £5, yes, but then the bankroll went down to £70. But statistically, there are fewer losses in this strategy. So, the player actually got to move 350 before they crashed. But what happens if we take another player who is betting £10 and who has £1,000 bankroll.

d'Alembert system

The progression here ended at move 251. The player was left with £81 and unable to continue. Now, we wanted to take this progression for a spin one more time. We took a third player and gave him a base bet of £5 while giving him £1,000 bankroll.

d'Alembert system

Alright, so what we saw here? The player actually ended up winning quite a bit. They ended up with 2,130 in total bankroll, which is amazing. The success of the progression has to do with two factors – bigger bankroll, so the player never ran out of money, and the fact that the base unit was lower. Of course, we must not overlook the fact that the player got lucky – luck will always play a part when you are playing with any strategy.

But in general, you can see that the same strategy can produce positive and negative results. With this said, d’Alembert is a strategy that will definitely introduce an interesting dynamic to the overall bankroll. You can observe both highs and lows.

What are the Pitfalls?

There are, of course, some things that you need to be mindful of. Players who are playing with a lower bankroll will need to acknowledge the fact that they may end up running out of money. Of course, you can always play with a smaller wager, right. You can go £2, £3, or even £4. This will make a difference for sure. The second thing that you need to keep in mind is that this is a progressive system, correct. So, it would take many moves before you can see a satisfactory result. You have to just stick with it.

To Wrap Up

Alright, so what we have learned about d’Alembert’s strategy is actually very interesting. Essentially, what this strategy tells you is that the game can be very unpredictable and that it will vary every time you try to play it with different base units for your wagers. The bankroll can be both positive and negative as well, depending on factors beyond your control – luck.

The value of the base bet will have the biggest impact along with your maximum bankroll, so you need to keep this in mind when trying to address the matter here. Overall, players are unlikely to use this strategy for more than several hundred moves before the tide turns against them – depending on how much initial risk is assumed, a player may run out of moves much sooner or later.

The progression can see both smooth increases in the value and rapid decreases. There are many things that you can be aware of, and players will definitely be pleased to explore the whole d’Alembert over the course of their own play. As parting recommendations, we would say that you need to be mindful of the lessons that our demonstration teach.

Essentially, it’s down to you not to stretch your session by too much. It’s also important to adjust your bankroll and base bet so that you can continue to play and not worry about running out of money. The choice you make about your base bet will be, in fact, the most impactful decision that you can make about d’Alembert.

In terms of mitigation opportunities with this strategy, the best one is to know when to quit. You need not chase much, and you can even call it quits before turning a profit. However, you need to strive to end in the black rather than in the red – that’s the point of any roulette strategy.

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