A certain university has 11 vehicles available for use by faculty and staff. Six

Question

A certain university has 11 vehicles available for use by faculty and staff. Six of these are vans and 5 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 11. (a) Let E denote the event that the first vehicle assigned is a van. What is P(E)? Incorrect: Your answer is incorrect. (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).)

Explanation / Answer

a)P(E) =P(first assigned vehicle is Van) =6/11 (as there are 6 Van out of total 11 vehicles)

b) P(F|E) =P(second vehicle assigned is a van givne first vehicle assigned is Van) =5/10 =1/2

c) P(E and F) =P(E)*P(F|E)= (6/11)*(!/2) =3/11

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