Six different written driving tests are administered by the Motor Vehicle Department. One of these six 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. (Round your answers to three decimal places.)
(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?

Question

Six different written driving tests are administered by the Motor Vehicle Department. One of these six 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. (Round your answers to three decimal places.)
(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?

amistre64 · Answer

tests 1,2,3,4,5,6  each test has a 1/6 probability of being selected.

persons b,m,s,d,w ; there are 5 people to take a test.

b,m,s,d,w
1,2,3,4,5,6  hmmmm

amistre64 · Answer

what have you tried so far?

amistre64 · Answer

there are 6 choose 5 ways to distribute the tests

amistre64 · Answer

or is it 6 pick 5?

amistre64 · Answer

its prolly 720 ways

amistre64 · Answer

http://ocw.kfupm.edu.sa/ocw_courses/user061/MATH1310102/Lecture%20Notes/LrTrChVIIISIVProbability.pdf i believe a similiar question is asked here

amistre64 · Answer

C(5,2) ?!
-------   looks to be right if i could determine what the ? was
  6^5

amistre64 · Answer

im thinking it would be 3! there but without knowing how the formula is made, id be a guess

amistre64 · Answer

.008 maybe