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The D'Alembert Progressive betting system:

This system is much safer than the martingale since you are adding and subtracting only single betting units instead of doubling each time. This means it's far less likely to hit the maximum limit or not be able to afford the next bet.

Here's how it works:

  1. Start with an initial bet amount
  2. After a loss increase the bet amount by one unit
  3. After a win decrease the bet amount by one unit
  4. The series ends when you reach your initial bet amount again

Example:

Bet Amount Win/Loss Total Profit
$1 Loss -1
$2 Loss -3
$3 Win 0
$2 Loss -2
$3 Win +1
$2 Win +3
$1 Win +4

Although the d’Alembert reduces the chances of a complete wipe-out of your bankroll when compared to the Martingale,  the possibility is still there.  A long sequence of consecutive losses will soon put the system in a position where it becomes almost impossible to recover.  As always the house edge works on every spin,  and so increasing your bets will eventually increase your losses. An extra bonus with the D'Alembert however is the fact that you usually don't have to wait until the end of the series to show a profit. You can cut the series short and still show a profit. In the example above, stopping after the fifth round would show a profit of 1 unit.

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Orbital Casino: $110
Lucky Nugget: $110
River Belle: $50
Gaming Club: $50+
Captain Cook's: $40
Vegas USA 2: $40
English Harbour: $35
Caribbean Gold: $35
Silver Dollar $25


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Lucky Nugget: 96.16%
River Belle: 96.53%
Gaming Club: 96.43%
Captain Cook's: 96.30

As audited by PriceWaterCoopers