6.30 Two different airlines have a flight from Los Angeles to New York that departs each weekday morning at a certain time. Let E denote the event that the first airline’s flight is fully booked on a particular day, and let F denote the event that the second airline’s flight is fully booked on that same day.

Suppose that PsEd 5 .7, PsF d 5 .6, and PsE > F d 5 .54.

a. Calculate PsEuFd, the probability that the first airline’s flight is fully booked given that the second airline’s flight is fully booked. (Hint: See Example 6.12.)

b. Calculate PsFuEd