Show all your work. Four women and five men were eligible for promotion. The women who were not promoted sued the company for sex discrimination. A major factor in the case was the probability that no more than one woman would be promoted if three people were chosen randomly to be promoted. Airline overbooking is a common practice.
Many people make reservations and then fail to show up.
Consider Eagle Air, a small commuter airline. Their planes hold 15 people. Suppose Eagle air decides to book 18 people for each flight. Determine the probability that on any given flight, at least one person holding a reservation will not have a seat. Assume that all passengers make reservations in advance.