Question

in a class of 35 students, 13 are seniors, 10 are juniors, 9 are sophomores, and...

in a class of 35 students, 13 are seniors, 10 are juniors, 9 are sophomores, and 3 are freshmen. If four students are selected at random from this class, what is the probability that all three are freshmen are selected?

Homework Answers

Answer #1

Given information

Total students n = 35

seniors =13

juniors=10

sophomores = 9

freshmen=3

we want to select four students in than three are freshmen and one other

No. of ways to select 4 out of 35 students = = 52360

No. of ways to select 4 students out of which 3 are freshmen

=

=32

Probability = 32 / 52360

probability = 0.000611

Therefore, probability that all three are freshmen are selected is 0.000611

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