What do you expect?

From the set \(X\) of the first \(2015\) positive integers, a \(62-\)element subset \(S\) is chosen with uniform probability distribution over all \(62-\)element subsets of \(X\).

What is the expected value of the smallest element in \(S\)? If the answer to the problem is of the form \(\dfrac{a}{b}\), where \( a , b\) are coprime positive integers, then enter \(a+b\) as the answer.

If the answer to the problem comes out to be irrational, choose the answer as \(-1\).

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