In a club with 12 male and 8 female members, a 8 -member committee will be randomly chosen. find the probability that the committee contains 3 men and 5 women.

Question

Gabriella Holden

Mathematics

31 July, 03:43

In a club with 12 male and 8 female members, a 8 -member committee will be randomly chosen. find the probability that the committee contains 3 men and 5 women.

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Dana Schultz · Answer 1

Total 20 persons

so total outcome = 20c8

now event to choose 3men out of 12 by 12c3

and 5 women out of 8 by 8c5

so no. favourable outcome = 12c3*8c5

probability = favourable outcome/total outcome

= 12c3*8c5/20c8