Probability 2

An integer \(n\) is selected at random from the set of values \(100 - 300\) (both inclusive) such that \(n = 11 \bmod{17}\).

If the probability of selection of such a number \(n\) is \(\frac{a}{b}\), where \(a\) and \(b\) are coprime positive integers, find \(a+b\).

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