A class consists of \(12\) girls and \(20\) boys. One-quarter of the girls in the class have blue eyes. If a child is

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A class consists of \(12\) girls and \(20\) boys. One-quarter of the girls in the class have blue eyes. If a child is selected at random from the class, what is the probability that the child is a girl who does not have blue eyes?

(A) \(\dfrac3{32}\)

(B) \(\dfrac9{32}\)

(C) \(\dfrac38\)

(D) \(\dfrac{23}{32}\)

(E) \(\dfrac{29}{32}\)

Answer: B

Source: Manhattan GMAT