Player A rolls m dice, evaluates the sum of all pips S_a, divides it by 7 and writes down the remainder, say rem_a.
Player B rolls n dice, does the same dividing S_b by 7 and gets rem_b.
i. Evaluate the probability of both remainders being equal.
ii. How does this probability relate to the numbers m and n?

(In reply to some computed values by Charlie)

Apparently the probability depends only on m+n, regardless of how this is distributed between m and n.

Posted by Charlie on 2016-10-05 14:49:05