Five different written driving tests are administered by the Motor Vehicle Department. One of these five tests is selected at random for each applicant for a driver's license. A group consisting of two women and three men apply for a license.

Question

Five different written driving tests are administered by the Motor Vehicle Department. One of these five tests is selected at random for each applicant for a driver's license. A group consisting of two women and three men apply for a license.
(a) What is the probability that exactly two of the five will take the same test?
(b) What is the probability that the two women will take the same test?

Anonymous · Answer

a) 5C2 * (1/5)^2 * (4/5)^3 = 0.2048 b)???