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2 sums modulo 7 (Posted on 2016-10-05) Difficulty: 2 of 5
Player A rolls m dice, evaluates the sum of all pips Sa, divides it by 7 and writes down the remainder, say rema.
Player B rolls n dice, does the same dividing Sb by 7 and gets remb.
i. Evaluate the probability of both remainders being equal.
ii. How does this probability relate to the numbers m and n?

No Solution Yet Submitted by Ady TZIDON    
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Comments: ( Back to comment list | You must be logged in to post comments.)
re: some computed values | Comment 2 of 3 |
(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

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