Scoring a hole-in-one is the greatest shot a golfer can make. Once 6 professiona

Question

Scoring a hole-in-one is the greatest shot a golfer can make. Once 6 professional golfers each made holes-in-one on the 6th 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 1/2246 for male professionals. Suppose that a sample of 6 professional male golfers is randomly selected. Be sure to give your answers to at least 4 decimal places.

(a) What is the probability that all of these golfers make a hole-in-one on the 9th hole at the same tournament? answer:

(b) What is the probability that none of these golfers make a hole-in-one on the 9th hole at the same tournament? answer:

Explanation / Answer

a )probability that all of these golfers make a hole-in-one on the 9th hole at the same tournament

P( hole in one)=(1/2246)^6=very small number (zero approximatly)

b)probability that none of these golfers make a hole-in-one on the 9th hole at the same tournament

P(none hole in one)=(1-(1/2246))^6

=(2245/2246)^6

=(0.9995547)^6

=0.99733

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