A certain high school class of 20 students consists of 5 sophmores, 10 juniors a

Question

A certain high school class of 20 students consists of 5 sophmores, 10 juniors and 5 seniors.  Suppose that on any given day a student in this class has a 5% chance of missing class for some reason.  Assume that students are absent independent of each other.

(a) If the teacher picks 4 names from the class roster of 20 students before class starts (i.e. before knowing whether these 4 students were actually present in class that day) to be homework presenters, what is the probability that all four of these students will be present?

Explanation / Answer

Probability of all four being present =(95/100)(95/100)(95/100)(95/100) =0.8145

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