A certain university has 15 vehicles available for use by faculty and staff. Five of these are vans and 10 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

a. Let E denote the event that the first vehicle assigned is a van. What is P(E) ?
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)