The 1989 U.S. Open golf tournament was played on the East Course of the Oak Hills Country Club in Rochester, New York. During the second round, four golfers scored a hole in one on the par 3 sixth hole. The odds of a professional golfer making a hole in one are estimated to be 3,708 to 1, so the probability is 1/3,709. There were 155 golfers participating in the second round that day.

a. What is the probability that no one gets a hole in one on the sixth hole?

b. What is the probability that exactly one golfer gets a hole in one on the sixth hole?

c. What is the probability that four golfers score a hole in one on the sixth hole?