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Question

Question: A committee of seven is chosen at random from 10 men and 10 women, then the probability that the me...

A committee of seven is chosen at random from 10 men and

10 women, then the probability that the men will have

majority in the committee.

A

½

B

1/3

C

2/3

D

¼

Answer

½

Explanation

Solution

From the symmetry of condition, there are equal chances for men and women to have majority.

\ Required probability = 12\frac { 1 } { 2 }.