Understanding The Difference Between D’ Alembert And The Martingale Strategies

 If you have read about betting systems before, you will quickly recognize the similarities between the D’ Alembert and the Martingale strategies.

These roulette systems are designed to help players boost their winnings and give them a systematic plan to win back their losses by using only Even-Money bets.

There is, however, one very important distinction between these two, which is perhaps one reason why some casino players prefer using the D’ Alembert system.

The main drawback of the Martingale method is that you would need to play at roulette tables with no betting limits and have unlimited funds. This is because the strategy requires players to double the bet size following a losing bet.

The effect of doubling up every time you lose is that the stake size required to win back the money from a losing bet will grow exponentially with every losing bet.

This is where the D’ Alembert system is much more attractive.

In this betting system, whenever you lose a bet, you only need to increase your next bet by one unit, not twice a much. Plus every time there’ s a win, you will lower the next bet amount by one unit to lower the amount of money needed to recover should you lose the upcoming bet.

Let’ s use another example to compare these two betting systems. Let’ s assume we use $5 as our base bet (Martingale) or middle number of our sequence (D’ Alembert) with a total bankroll of $100.

Now, let’ s imagine that we lose four bets in a row. If we were using the Martingale strategy, we would have spent ¾ of our total bankroll by now ($75) and we would not be able to place the next wager because we have reached our bankroll limit of $100.

Using the D’ Alembert system, we would have spent only $26 of a total of $100 bankroll and we could afford to lose up to 8 bets in a row before hitting our bankroll limit.

This is what makes this system so attractive, but it comes at a cost.

The Problem with the D’ Alembert System

Despite what we have mentioned before, you must bear in mind that the D’ Alembert strategy is not perfect either. It’ s very important to mention that this strategy is based on a gambler’ s fallacy.

The problem with this strategy is that it assumes that players are more likely to win after losing a bet and they’ re more likely to lose after winning.

The problem with this is obvious; each spin has exactly the same odds of being red or black despite the result of the previous spin(s).

Regardless of this shortcoming, many players claim this method provides them with a systematic gambling system that allows them to achieve good results.

In conclusion, the D’ Alembert method represents an excellent opportunity to limit the risk of going bankrupt while allowing casino players to secure good profits.

Martingale – A Roulette Strategy (With Optimization)

I like to think of this as a light hearted article, not to be taken too seriously, the casino will, on average beat you, but everyone likes a challenge, and this may be a strategy that suits you.

Roulette is designed so the casino “house” will win, Always (but on average). Some people will win when playing roulette, but on average, the people loose, the casino wins. Especially when it comes to computer roulette, which I personally avoid like the plague. There are a few ways to actually win at roulette, and I mean win..! not some strategy like the one I’m about to explain which will have potential short term gain, but real proven methods. I might discuss them in the future!

Back to this article. As you may or not know, when playing roulette, you bet on the outcome of the ball rolling on segments of a disc, you can bet even or odd, black or red, high or low, and many other bets. If you bet on the ones i mentioned, you will double you money, however, if you loose, you loose that money you bet! Sound fair? Well it would be, except for the fact that 0 exists. And sometimes even 00 exists, 0 and 00 are neither red nor black, nor odd nor even nor high nor low. So those segments on the disc are rather undesirable! Well now that that brief intro into roulette is over, here is the martingale method, followed by optimization for the martingale method.

Here is a simple example to start off with.

You enter a casino with 100 dollars. Choose one of the 6 bets i have mentioned (red/black/high/low etc.) Lets say you chose red. Bet 1 dollar on red.

If you win, change color (to black) and start again, if you loose, double your bet on the same color.

How it might play out:
1$ on red. You win. Bet 1$ on black. You loose. Bet 2$ on black. You loose. Bet 4$ on black you win.

In case you don’t see the reasoning behind this method, I’ll explain. Every time you win, you essentially get back one dollar. That’s it. If you have a loose, loose, loose, win (doubling up each bet in the process) after those 4 bets, in total, you win 1 dollar.

Still lost?

Say you have 7$ in your pocket, take it out and bet 1$ on red. You loose, bet 2$ on red, loose again(you have bet 3 $ in total now) double your bet as usual, bet 4$on red(7$ bet in total now) you win. You get back 8$, so in total you won just 1$. so if you have a huge losing streak, and one win at the end, in all you just won 1$. Now bear in mind you can change your 1$ bet to a 10cent bet, or whatever the minimum bet is. Also, you don’t have to bet on colours, you can use any of: red / black / high / low /odd even.

But there are two ways in which this system will help you loose all your money.

1) You don’t have infinite money. No one does. And eventually (and inevitably if you play for long enough) you will have a huge losing streak, and you’ll have to bet a hell of a lot of money to win back your initial 1$bet(1$is the example I’m sticking with here) Think about it. Its common enough to have 6 or 7 or 8 looses in a row, that means to win your 1$ you’ll have to bet 128$, loose again, your gonna have to bet 256$.. 512$.. 1,024$… 2,048$…!!!! It builds up faster and more frequently than you might imagine

2The maximum bet. This will cause havoc with the system.

You can be lucky like me and have limited luck, and stop when your ahead which i managed to do, but I know that’s one of the hardest things to do.

Optimization techniques (Gambler’s fallacy)

Well technically it is not optimization. It has no real effect, but it really feels like it does or should. Say you get 200 blacks in a row. You think okay, the chances of me getting a red are really high now..! Actually this is false, and it is given the name “Gambler’s fallacy”. The human mind will think the expectancy of a red is high but the probability does not change. You have the same chance of getting a red as a black. It never changes, Ever.

But if you believe in this false effect you could play the martingale strategy more “wisely”, as in hang around a roulette table, and keep track of the results. If you notice there is a streak of the same color in a row, then bet on the alternate color.

In summary, roulette is fun but not when you loose, which will happen at some stage, so bear that in mind. And don’t forget, gambling is a sin! Thanks for reading folks!