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15. juli 2008, 16:09:33

nabla

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Emne: Re: Doubles theory

wetware: With both dies changed : [ 294 ( = 36 * 7 + 6 * 7, the usual sum of all rolls) + 30 (10 rolls with a 2 changed to 5) + 12 (1 roll with a double 2 changed to a double 5) ] / 36 = 336/36 = 9 1/3. Enough to win most of the long races !

I will leave the "one die" to someone else, but beware, it is higher than halfways between 8 1/6 and 9 1/3.

15. juli 2008, 17:21:33

wetware

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Emne: Re: Doubles theory

nabla: I suspect it's even higher than the figure you gave.

With one die modified, the likelihood of 55 is twice as great, while 22 has become impossible. "Any double" remains a 6/36 chance.

With both dice modified, 55 is now a 4/36 chance! (and the odds of "any double" have climbed to 8/36).