Question

Scoring a hole-in-one is the greatest shot a golfer can make. Once 5 professional golfers each made holes-in-one on the 7th hole at the same golf course at the same tournament. It has been found that the estimated probability of making a hole-in-one is (1/2494) for male professionals. Suppose that a sample of 5 professional male golfers is randomly selected.
(a) What is the probability that at least one of these golfers makes a hole-in-one on the 10th hole at the same tournament?
(b) What is the probability that all of these golfers make a hole-in-one on the 10th hole at the same tournament?

Answer 1

A) Probability  that at least one of these golfers makes a hole in one on the 10th hole at the same tournament is 

=1−(2493/2494)^5
=1-(0.99)^5
= 1- 0.96
=0.4

b) The probability that all of these golfers make a hole-in-one on the 10th hole at the same tournament
=(1/2494)5

which is nearly zero.