Each day John performs the following experiment. He flips a fair coinrepeatedly until he sees a T and counts the number of coin flips needed.(a) Approximate the probability that in a year there are at least 3 days when heneeded more than 10 coin flips. Argue why this approximation is appropriate.(b) Approximate the probability that in a year there are more than 50 days whenhe needed exactly 3 coin flips. Argue why this approximation is appropriate.