A Athletic Department representative randomly surveys people

A Athletic Department representative randomly surveys people around various parts of campus. He is interested in finding people who did not attend the last home football game. From previous surveys, he knows that the probability a person on campus did not go to the last home football game is 0.15.

1) What is the probability he surveys more than 5 people until he finds a person who did not attend the last home football game?

2) Find the probability he surveys more than 8 people but fewer than 12 people until he finds one who did not attend the last home football game.

3) He has already surveyed 7 people who all attended the last home game. What is the probability it takes him at most ten people to find one who did not attend the last home game?

Solution