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?

Question

Mathematics

Nelson Dickerson

15 July, 23:44

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?

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Answers (1)

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Roger Case · 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) T he 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.