SOLUTION: The athletic department of a school has 12 full time coaches and 4 of them are female. The director selects two coaches at random from this group. The probability that neither of

Question 1127620: The athletic department of a school has 12 full time coaches and 4 of them are female. The director selects two coaches at random from this group. The probability that neither of them is a female is:
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
The athletic department of a school has 12 full time coaches and 4 of them are female. The director selects two coaches at random from this group.
# of female 4 ; # of male 8
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The probability that neither of them is a female is:
# of non-female pairs:: 8C2 = (8*7)/(1*2) = 28
# of random pairs:: 12C2 = (12*11)/(1*2) = 66
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Ans: P(2 non-female selected) = 28/66 = 42%
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Cheers,
Stan H.
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