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A certain university has 19 vehicles available for use by faculty and staff. Four of these...

A certain university has 19 vehicles available for use by faculty and staff. Four of these are vans and 15 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 19.

(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) (Hint: Use the definition of P(F | E).)

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