A class consists of 12 girls and 20 boys. One quarter of the girls in

Question

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) \(\frac{3}{32}\)

(B) \(\frac{9}{32}\)

(C) \(\frac{3}{8}\)

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

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

(A)  \frac{3}{32}

(B)  \frac{9}{32}

(C)  \frac{3}{8}

(D)  \frac{23}{32}

(E)  \frac{29}{32}

baba2709 · Answer

one quarter of girls have blue eyes i.e 3 girls have blue eyes .

girl with no blue eyes =12-3 =9

Total outcome =20+12=32

Required probability = (9/32)

CounterSniper · Answer

Total number of students = 32
One quarter of the girls in the class have blue eyes =12/4=3
required probability = 9/32

sudarshan22 · Answer

Total students = 12 girls + 20 boys = 32
Number of girls with blue eyes = One quarter of the 12 girls = 1/4 * 12 = 3
Number of girls who do not have blue eyes = 12 - 3 = 9

Required probability = Number of girls who do not have blue eyes / Total students = 9 / 32

Hence,   B  .

ScottTargetTestPrep · Answer

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

EMPOWERgmatRichC · Answer

Hi All,

We're told that a class consists of 12 girls and 20 boys. One-quarter of the girls in the class have blue eyes. We're asked for the probability that a randomly selected child is a girl who does NOT have blue eyes. This question comes down to some basic organization and Arithmetic.

From the first sentence, we know that there are 12 girls and 20 boys.

With the second sentence, we can break the 12 girls down into 2 groups: those with blue eyes and those that don't have blue eyes: 
(1/4)(12) = 3 with blue eyes 
12 - 3 = 9 that don't have blue eyes

The number of girls who DON'T have blue eyes.... out of the total number of students in the class... is 9/32

Final Answer:  B

GMAT assassins aren't born, they're made, 
Rich

A class consists of 12 girls and 20 boys. One quarter of the girls in

Prep Toolkit

Top 5 GMAT Debrief Videos

615 to 715 in 15 Days (Ria's Strategies)

More than Quant/Verbal Abilities: Speed vs. Accuracy

745 with Only Self-Prep and GMAT Club

From 555 to 765: 210-point Improvement

Perfect 805 Score Debrief by Julia

My Rewards

GMAT Problem Solving (PS) Questions

A class consists of 12 girls and 20 boys. One quarter of the girls in

Prep Toolkit

615 to 715 in 15 Days (Ria's Strategies)

More than Quant/Verbal Abilities: Speed vs. Accuracy

745 with Only Self-Prep and GMAT Club

From 555 to 765: 210-point Improvement

Perfect 805 Score Debrief by Julia

My Rewards