Needing to get to Houston tomorrow, you book a fight on two different airlines, knowing that there’s a chance that the fights will be overbooked and that you could be “bumped” (that is, forced to take a later fight). In fact, an article earlier in the day indicated that, for the two airlines you booked, there’s about a 7% chance of being involuntarily bumped. Assume that “bumps” are statistically independent.
a. Using the 7% fgure, what are the chances that you would be bumped from both your fights tomorrow?
b. What are the chances that you would be bumped from neither fight? (Assume you check both airlines before you board your choice of fights.)
c. What are the chances that you would be bumped from exactly one of the two fights? (Assume you check both airlines before you board the available fight.)