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Question of the Day - 13 October 2009

Q:
If a double-zero roulette game has a 5.26% casino edge, why is a single-zero game 2.70% and not 2.63% (half of the first)?
A:

The difference is in the denominator in the equation that determines the edge. Say you bet red in a game with two zeros. There are 36 numbers plus the zeros, making a total of 38 slots on the wheel. Of them, 18 (the reds) are winners and 20 (the blacks and two zeros) are losers. That's a result of -2 units in 38 plays, yielding the equation -2/38 = -5.26%. On a single-zero wheel there are only 19 losers, meaning you lose only 1 unit, which would seem to indicate an edge of -1/38 = -2.63% (as you suggest). However, removing the second zero leaves only 37 total slots, so the equation is -1/37 = 2.7%.

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