# 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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