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A group of ten friends are out for a stroll. They are walking down a boulevard...

A group of ten friends are out for a stroll. They are walking down a boulevard with twenty intersections. Each friend will leave this boulevard at one of the twenty intersections, selecting the intersection at random independently of the other friends.

a) Find the probability that no two friends leave the boulevard at the same intersection.

b) Find the probability that all ten friends leave the boulevard no later than the fifteenth intersection.

c) Find the probability that exactly five friends leave the boulevard at the third intersection (the others leave at some other unspecified intersection).

d) Find the probability that exactly five friends leave the boulevard at the third intersection, exactly three leave at the seventh intersection (the two others leave at some other (not third or seventh) unspecified intersection).

Math   Statistics-And-Probability   
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