The 2009 RBC Canadian Open golf tournament was played at the Glen Abbey Golf Club in Oakville, Ontario. During the second round, Leif Olson, Arjun Atwal, Casey Wittenberg, and Briny Baird all aced the 132-yard par-3 15th hole. The odds of a professional golfer making a hole-in-one are estimated to be 2,500 to 1, so the probability is 1/2,501. There were 144 golfers participating in the second round that day.
a. What is the probability that no one gets a hole-in-one on the 15th hole?
b. What is the probability that exactly one golfer gets a hole-in-one on the 15th hole?
c. What is the probability that four golfers score a hole-in-one on the 15th hole?