Question

A certain 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 in a completely random fashion from among the 10 . 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 $P(F \mid E)$ ? c. Use the results of Parts (a) and (b) to calculate $P(E$ and $F)$ (Hint: Use the definition of $P(F \mid E) .$ )

          A certain 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 in a completely random fashion from among the 10 .
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 $P(F \mid E)$ ?
c. Use the results of Parts (a) and (b) to calculate $P(E$ and $F)$ (Hint: Use the definition of $P(F \mid E) .$ )

Added by John M.

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