SOLUTION: . A committee of 4 people is to be selected from a group of 5 men and 7 women. If the selection is made randomly, what is the probability the committee will consist of 2 men and

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Question 1190744: . A committee of 4 people is to be selected from a group of 5 men and 7 women. If the selection
is made randomly, what is the probability the committee will consist of 2 men and 2 women

Answer by ikleyn(52778)   (Show Source): You can put this solution on YOUR website!
.
A committee of 4 people is to be selected from a group of 5 men and 7 women. If the selection
is made randomly, what is the probability the committee will consist of 2 men and 2 women
~~~~~~~~~~~~~~~

5 + 7 = 12 people.


In all,   =  = 495 combinations are possible of 12 people taken 4 at a time.


It is the full size of the space of events in this problem.


Of them,   = 10*21 = 210 quadruples consists of two men and two women: they are favorable quadruples in this problem.


THEREFORE, the probability under the problem's question is


    P =  =  =  = 0.4242... = 0.4242 = 42.42%   (rounded).    ANSWER

Solved.



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