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D´Alembert System

This is a roulette system that can be employed when betting the even money options (eg even/odd).

Jean Le Rond d´Alembert was a mathematician from France who came up a theory of equilibrium which run along the following lines:

In a system where you have 2 outcomes with an equal probability of happening (eg heads or tails, tossing a coin), and one result starts to come up more, (you flip alot of "heads" for example), then the other outcome must kick in at some stage going forward so that the balance can be restored.
Let´s apply this to roulette: if you are betting even/odd, and you keep getting odd, you should bet even, but do it in a systematic way.

In the D´Alembert System, you add a betting unit when you lose a round and take away a betting unit when you win a round. This follows the assumption that a player who has just won is less likely to win on the next round, and a player who has just lost, is more likely to win on the following bet.

The D'Alembert system is also known as a negative progression or insurance system. This is down to the fact that you are trying to avoid losing your bankroll by reducing your bets when you win, so that you are banking profits on a good run.

Let´s walk through a scenario on the roulette wheel using the D´Alembert System. You have just won a bet. On your next go, you are less likely to win again, so you reduce your bet.

Can you spot the obvious flaw here? Every spin of the wheel is an independent event. The wheel has no memeory, so the result of any spin on a roulette wheel is not influenced in any way by the preceding spin (or indeed the spin that comes after).

However, as with all systems, it can be a useful way of making your play at the table more systematic, but just understand the theory behind the system before you rely on it 100%.