Question: We roll n fair standard dice, each with faces numbered 1,2,3,4,5,6. For each n >= 1, find the probability that: a. at least 2 of

We roll n fair standard dice, each with faces numbered 1,2,3,4,5,6. For each n >= 1, find the probability that:

a. at least 2 of the numbers on top are the same

b. the sum of the numbers on top is n+3

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