Labouchere Roulette System ROULETTE-SYSTEMS .COM
The Labouchere roulette system, also called "Split Martingale" or "Cross-Out" or "Cancellation" or several other names.
In its simplest form, you write down some numbers... let's say 1 2 3. Each bet is the first and last of these numbers. In this example, it is 1 and 3, which equals 4. If you win you cross the two number off and bet the next two that are on the outside. In this instance there would be only the single two unit bet. If that wins you complete the series and win a total of all of the numbers (six here). If the bet loses, then you add that one number to the end of the series. So, the first bet would be 4 and it loses, so you add 4. That makes the next bet 1 plus 4, which is 5. And so on....
This means that you need to win only 1/3 of the bets PLUS two more and you will complete the series and win the amount that is in the series. Since you normally will win ALMOST half of your bets, that means that you MUST win... or must you?
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I have also seen this done with many variations at our favorite roulette casinos. One would be to use different numbers, such as lots of ones in the beginning, to keep the series from growing so fast. So, the series would be something like 1 1 1 2 2 3. When you complete the series you will win 10 units. The first bet is still four. You must win 1/3 plus 3.
Other people have devised ways of splitting it up when the bet gets too high. Set it aside and win one series and then go back and finish the second series.
There is a "Reverse Labouchere roulette system" for the brave at heart. You add the amount of the win to the end, and cancel the 2 outside numbers each time that you lose. The bet is the sum of these two outside numbers. This gives you many very small losses in return for an occasional very large win.