Monday, March 01, 2004


This might be of interest to all the craps players out there. It can be shown that two 6-sided dice with sides labeled [1,2,2,3,3,4] and [1,3,4,5,6,8] (called Sicherman dice) will present the exact same probabilitistic makeup as standard 6-sided dice. You can check all of it, but by way of further explanation, notice that standard dice have roll totals of 2 through 12, as do the Sicherman dice. Furthermore, for standard dice, there are 4 ways to get a roll total of, for example, 5: [1,4], [2,3], [3,2], and [4,1] For Sicherman dice, there are also 4 ways to get a roll total of 5: [1,4], [2,3], [2,3], and [4,1]

I suppose, though, that mentioning craps wasn't exactly correct since playing with Sicherman dice you lose the side bets of "boxcars" and the like.
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