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D'Alembert Craps Betting System

By: Michael Chan, Thursday September 8th 2011

The D'Alembert craps betting system is mathematical approach to online craps. This craps strategy is known as a "cancellation" system.

If you intend to play this strategy in online craps, it's not too difficult to understand. In fact, it can be broken down into simple terms. Let's use one dollar ($1) to represent a unit of wagering. You can sit down and write a sequence of ten bets in a row of that amount, which would look like this:

(1,1,1,1,1,1,1,1,1,1)

Your process is to be in a position where you have crossed off each of the 1's, at which point you will then be ahead a total of ten units.

You'll bet an amount that equals the number on the extreme left plus the number on the extreme right. In this case, it's $2. If you win that first bet, you're going to cross off both those numbers, but if you lose, you're going to put a "2" on the end. Then you start the process again, so the next bet would be $3, which is $1 added to $2. One of two things is going to happen when the dust clears: either you are going to be able to cross off all the numbers, in which case you are ahead, or you will wind up losing all of your bankroll, which puts you behind, to say the least.

In the event where you are coming to the end of your bankroll, what you may want to do is make adjustments, since a losing streak could make that number at the extreme right rather large. One of these adjustments would be to bet the number on the left only, which would obviously be the lowest possible wager. Then you would keep holding on for as long as you can, with the possibility of building the bankroll again.

Here's what is interesting about this casino strategy, and where online craps bettors have to take heed. The most you can win in a session using the set of numbers we listed above is ten units, or $10. The worst you can do is lose all the bankroll. We mentioned this already, but from the standpoint of the "risk/reward" scenario, it doesn't appear too appetizing. Mathematically the more you put up, the better chance you're going to have to cross out all the numbers, but at the same time, the faster you can get busted out. The attraction is that the higher the bankroll, the less of a chance you have to go broke, and if you utilize some conservative betting amounts, you can greatly reduce your risk of ruin. if you're playing with a $100 bankroll you can have more than an 89% chance of winning $10, with a little less than 11% chance of busting out entirely.

In the end, it most likely won't be worth it because the house edge at an online casino will swallow up profit, but for short-run excursions, it's not horrible.

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