Probability

In a large crowd, there are three times as many men as women. Three people are chosen at random. Assuming that there are so many people that choosing three has a negligible effect on the proportion of men to women , find the probability that they are
a. all men
b. 2 women and 1 man.

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1. all men: Pr(man, man, man)=(3/4)^3
two w, 1 man: ways to get those
WWM
WMW
MWW three ways
pr=3(3/4)(1/4)^2 or 3!/2!(1!) * 3/4*(1/4)^2= same as before, 3(3/4)(1/4)^2

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bobpursley
2. Why is it over 4?

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