SOLUTION: A committee of 4 women and 3 men need to select a chair person and a secretary. If every person is equally likely to be chosen, what is the probability that :
a) both positions ar
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Question 630222: A committee of 4 women and 3 men need to select a chair person and a secretary. If every person is equally likely to be chosen, what is the probability that :
a) both positions are filled by women?
b) both positions are filled by men?
c) the chairperson is female and the secretary is male?
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
A committee of 4 women and 3 men need to select a chair person and a secretary. If every person is equally likely to be chosen, what is the probability that :
a) both positions are filled by women?
Ans: 4C2/7C2 = 6/21 = 2/7
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b) both positions are filled by men?
Ans: 3C2/7C2 = 3/21 = 1/7
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c) the chairperson is female and the secretary is male?
# of ways to succeed: 4*3 = 12
# of possible outcomes: 7*6
Prob = 12/42 = 6/21 = 2/7
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Cheers,
Stan H.
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