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

Answer 1

p(man) = 3/4
p(woman) = 1/4

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Answer 2

M and N are midpoints of opposite sides of a square ABCD. A point is selected at random in the square.Find the probability that it lies in triangle ADM