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A committee of 5 persons is to be selected randomly from a group of 5 men and 10 women


A committee of 5 persons is to be selected randomly from a group of 5 men and 10 women.

(a) Find the probability that the committee consists of 3 men and 2 women.

answer :

C(5,3) x C(10,2) = 450
C(15,5) = 3003
P(3 men, 2 women) = 450/3003

(b) Find the probability that the committee consists of all men.

answer :
C(5,5) x C(10,0) = 1

C(15,5) = 3003
P(all men) = 1/3003

*probability = peluang

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