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GRE
GRE Quantitative Reasoning Section

Probability of Selecting Students by Gender

Hard Data Analysis Probability

A class consists of 20 students, out of which 12 are girls and 8 are boys. The teacher is to select a group of 5 students to represent the class. Assuming that all selections are equally likely, what is the probability that the group will consist of exactly 3 girls and 2 boys?

To calculate the probability, consider the total ways to choose 5 students from 20 and the favorable ways to choose 3 girls from 12 and 2 boys from 8.

Hint

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