Colored Chips Bin

A bin contains \(11\) blue chips, \(4\) red chips, \(7\) green chips, and \(16\) yellow chips. The probability of drawing a red chip, putting it back in the bin, then drawing a green chip can be written as \(\frac{a}{b}\), where \(a\) and \(b\) are positive, coprime integers. What is the value of \(a+b\)?

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