Chapter 6.6, Problem 69E

A university has 10 vehicles available for use by faculty and staff. Six of these are vans and four are cars. On a particular day, only two requests for vehicles have been made. Suppose that the two vehicles to be assigned are chosen at random from the 10 vehicles available.

1. a. Let E denote the event that the first vehicle assigned is a van. What is P(E)?
2. b. Let F denote the event that the second vehicle assigned is a van. What is P(F|E)?
3. c. Use the results of Parts (a) and (b) to calculate P(E and F) (Hint: See Example 6.23.)