Posted by **Anonymous33** on Friday, February 8, 2013 at 12:53am.

The numbers 1,2,…,17 are divided into 5 disjoint sets. One set has 5 elements, one set has 4 elements, two sets have 3 elements and the last set contains the 2 remaining elements. Two players each choose a number from 1 to 17 at random. The probability they choose numbers from the same set can be expressed as a/b, where a and b are coprime positive integers. What is the value of a+b?

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