A certain university has 20 vehicles available for use by faculty and staff. Five 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 at random from the 20 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(En F).

MATLAB: An Introduction with Applications
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A certain university has 20 vehicles available for use by faculty and staff. Five 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 at random from the 20 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(En F).
Transcribed Image Text:A certain university has 20 vehicles available for use by faculty and staff. Five 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 at random from the 20 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(En F).
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