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I can’t let you out of this section without telling you about a wagering device that is frequently used by seasoned players. Think of this one as a one-way D’Alembert, which has been blessed with a four unit ceiling.
This system, Oscar’s Grind (or 1-2-3-4) calls for you to increase your bet size by one unit after every loss until you win, or reach the four unit level. If you don’t get a win there, the series is over.
The word “system” is used rather loosely here, because this is more a technique than a system. If played on that basis, I have no strong objections to it. It gives you a strong chance to win, without compelling you to mop up a huge mess when it fails (unless you can’t stomach a 10 unit loss).
Now, once you reach the third stage, all you’re shooting for is to get all or most of your money back, with no hope of showing a profit for the series. But it usually keeps you in the game, and that counts for something.
Although it was designed for even money bets, the 1-2-3-4 can be used for other bets, preferably those which pay somewhere between even money and 2-1. Depending on the payoffs of the bet you’re pursuing, it would be possible to garner a profit regardless the stage you’re at when the win occurs.
Year’s ago, I used this technique quite a bit. But these days, I find that I am more conservative. I seldom chase anything for more than 2 or 3 stages, even with bets that pay 2-1. Time and seasoning have taught me that if you don’t catch something early, the prudent move is to abandon the chase.
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Martingale
Mini-Martingale
D’Alembert
Contra D’Alembert