Question 1060276: Seven different written driving tests are administered by the Motor Vehicle Department. One of these 7 tests is selected at random for each applicant for a driver's license.
If a group consisting of two women and three men apply for a license, what is the probability that exactly two of the five will take the same test?
Answer by stanbon(75887)   (Show Source):
You can put this solution on YOUR website! Seven different written driving tests are administered by the Motor Vehicle Department. One of these 7 tests is selected at random for each applicant for a driver's license.
If a group consisting of two women and three men apply for a license, what is the probability that exactly two of the five will take the same test?
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Binomial Problem with p = 1/7 and n = 5
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P(x = 2) = 5C2*(1/7)^2*(6/7)^3 = binompdf(5,1/7,2) = 0.1285
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Cheers,
Stan H.
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