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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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(52776) (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
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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
