A certain class of 160 students has 40 honor students and 60 athletes. Eighty students in the class do not participate in sports and are not honor students. If a student is selected at random to represent the class, what is the probability that he is both an honor student and an athlete?

Question

Felicity Benson

Geography

30 June, 00:27

A certain class of 160 students has 40 honor students and 60 athletes. Eighty students in the class do not participate in sports and are not honor students. If a student is selected at random to represent the class, what is the probability that he is both an honor student and an athlete?

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Answers (1)

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Kendrick Prince · Answer 1

Since we have 80 students in the class do not participate in sports and are not honor student, we have this solution:

160 - 80 = 80 students remaining who are honors and athletes

Since we have 40 honor students and 60 are athletes, we have this solution:

40 + 60 - 80 = 20

The probability is shown below:

20 / 160 = 1 / 8.

The answer is 1/8.