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Testing and Analyzing Grand Martingale System

Last updated: 05.04.2024 by Andrew Shepard

It’s one of the best systems out there, and it’s called the Grand Martingale. As its name suggests, it’s based on the Martingale system that we have gone to some length efforts in order to text and present you with. In order to help you understand how these two systems work (well, how Grand Martingale works), we have done some extensive testing. The system is easy to comprehend. Basically, you increase your base bet to recover any potential losses. However, you are also running a chance of soon running out of the betting limit and crashing! There is a mathematical justification behind this system. Let’s explain it.

How does Grand Martingale Work – Explained

Grand Martingale is a system where you want to bet on even money bets. You are betting on Black/Red, Odd/Even, High/Low, and so on. There are many bets that you can start with, but we recommend you stick to £1. When you lose, you double the bet. And, when you lose, you go back one. The difference here is that if we lose and double, we also now add the base bet. It’s a more aggressive system. Take a look at the example.

Grand Martingale Strategy
  • Spin 1

    Base bet 1£ on Red. We lose.

  • Spin 2

    We doubled and added the base bet (2£+1£=3£). So, bet 3£ on Red. Let’s say we lose again.

  • Spin 3

    Double the lost bet and add the baseline (6£+1£=7£). Bet 7£ on black again, and we end up collecting a win. With this win, we made up for our losses, and we are now going to go back to £1.

  • Spin 4

    Bet 1£ on Black, and according to the outcome (win or lose), proceed with the algorithm as has been shown in the previous three steps.

Testing the Grand Martingale System

So, we have decided to use a Google Sheets simulation to test the Martingale system, and here is what we have. We took three players and gave them £1,000 each across 1,000 spins. We then collected the results and put them down in a graph so you can see what the results were. Let’s take a look at that ourselves.

Grand Martingale system

The first player turned out to be the most successful out of the entire progression. His progress lasted well through the game, and he amassed £1988. The second player, though, ended up unable to continue on spin 636. His bankroll dropped to £612, and he needed another £1023 to continue the progression, but he couldn’t. The third player crashed on the 104th spin with a budget of £81. As you can see, one player really pulled ahead, but the other two were not able to. Okay, so let’s compare Martingale and Grand Martingale – we will have one player for each and will use the same base conditions.

Grand Martingale

Now, as you can see from the charge, the Grand Martingale progression is burning through the cash much quicker. The player using this strategy ended up out of the game on the 21st spin. The player with the Martingale progression, though, got lucky, and he ended up with £1,513. Money spent during a Grand Martingale strategy accumulates about 35% quicker, which is important to note down. Let’s take a look at Martingale's progression, it’s as follows:

1 - 2 - 4 - 8 - 16 - 32 - 64 - 128 - 256 - 512

Now, let’s take a look at the Grand Martingale progression and the results there:

1 - 3 - 7 - 15 - 31 - 63 - 127 - 255 – 511

So, let’s take a look at the probability of failure based on Martingale. Here is what the formula says for European roulette Martingale strategy: P = (0.524)^10 = 0.1275%. In the case of Grand Martingale, it is P = (0.524)^9 = 0.2433%.

What to Look out for in Grand Martingale?

So, what’s the catch with Grand Martingale? You need to acknowledge that the money will be accumulating much quicker, and this is something that you need to be prepared for. The trade is that you have a chance to win money quicker, but on the flipside – you also stand to lose money quicker as well. Understanding this will give you a good grasp of what this strategy is all about and how you can apply it based on the bankroll that you are bringing to the table.

Conclusion: Lessons to Remember

Alright, so you are now familiar with Grand Martingale. It’s important to take away a few things with yourself. First, you need to know that this strategy is more aggressive. Money here accumulates about 35% quicker, which is definitely an important thing to remember if you are serious about your long-term success as part of the Martingale strategy. Knowing this will help you definitely pick a table that has the right table limits for you – usually, higher limits are better. But you also need to bring sufficient bankroll to account for those limits, so keep this.

Despite these dangers, many people try the Grand Martingale over the Classic Martingale because with the latter, to win any considerable amount, you have to keep playing over and over again, which in itself also increases the chance of breaking the progressing and just burning the cash of money.

Now, you may notice that Grand Martingale is not much different than the basic system. So, if you don’t really like the basic one, we don’t think you are going to enjoy this one as well. If you want to risk a bit more with a smaller overall bankroll, though, this system can be fun. For example, you can start with a £100 bankroll and just bet between £2-£5. No harm, no foul, and who knows – you might get lucky.

Your new strategy is waiting to be tested - play roulette for real!

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