SOLUTION: A 20-member club has an equal number of freshmen, sophomores, juniors, and seniors. If 5 members are selected at random, what is the probability that at least 4 will be seniors?

Question 364423: A 20-member club has an equal number of freshmen, sophomores, juniors, and
seniors. If 5 members are selected at random, what is the probability that at
least 4 will be seniors?
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
A 20-member club has an equal number of freshmen, sophomores, juniors, and
seniors. If 5 members are selected at random, what is the probability that at
least 4 will be seniors?
------
Binomial problem with n = 5 and p(senior) = 1/4
---
P(4<=x<=5) = 5C4(1/4)^4*(3/4) + 5C5(1/4)^5(3/4)^0
= 0.0156
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Cheers,
Stan H.

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