A certain university has 7 vehicles available for use by faculty and staff. Five of these are vans and 2 are cars. On a particular day, only two requests for vehicles have been made. Suppose that the two vehicles to be assigned are chosen in a completely random fashion from among the 7.

Question

A certain university has 7 vehicles available for use by faculty and staff. Five of these are vans and 2 are cars. On a particular day, only two requests for vehicles have been made. Suppose that the two vehicles to be assigned are chosen in a completely random fashion from among the 7.
(a) Let E denote the event that the first vehicle assigned is a van. What is P(E)?
I got the answer for this being .714
(b) Let F denote the probability that the second vehicle assigned is a van. What is P(F | E)?
(c) Use the results of Parts (a) and (b) to calculate P(E and F) (Hint: Use the definition of P(F | E).)