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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-> 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?
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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