Total : 12 + 20 = 32

Girls who have blue eyes = 12*1/4 = 3

Girls who don't have blue eyes = 9

Probability = 9/32

The best answer is B.

Explanation

The probability of any outcome is equal to the number of desired outcomes divided by the total number of outcomes. There are 12 girls and 20 boys in the classroom. If one-quarter of the girls have blue eyes, then there are \((12)\frac{1}{3} = 3\) girls with blue eyes.

Therefore, there are \(12 - 3 = 9\) girls who do not have blue eyes. The total number of ways in which a child could be chosen is the total number of children in the class, namely 12 + 20 = 32. Therefore, the probability of choosing a girl who does not have blue eyes equals the number of girls without blue eyes divided by the total number of children, which is \(\frac{9}{32}\).
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Since ¼ of the 12 girls have blue eyes, ¼ x 12 = 3 girls have blue eyes. So 9 girls don’t have blue eyes. Since there are 12 + 20 = 32 students in the class, the probability that a child is a girl who does not have blue eyes is 9/32.

Answer: B
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