A certain university has 12 vehicles available for use by faculty and staff. Four of these are vans and 8 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 12 vehicles available. (Enter your answers as fractions.) (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 ∩ F).

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