Each day, John performs the following experiment. He flips a fair coin repeatedly until he gets a 'T' and counts the number of coin flips needed. (a) Approximate the probability that in a (non-leap) year there are at least 3 days when he needed strictly more than 8 coin flips. (b) Approximate the probability that in a year there are strictly more than 86 days when he needed exactly 2 coin flips.

A First Course in Probability (10th Edition)
10th Edition
ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
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Each day, John performs the following experiment. He flips a fair coin repeatedly until he gets a 'T' and counts
the number of coin flips needed.
(a) Approximate the probability that in a (non-leap) year there are at least 3 days when he needed strictly more
than 8 coin flips.
(b) Approximate the probability that in a year there are strictly more than 86 days when he needed exactly 2 coin
flips.
Transcribed Image Text:Each day, John performs the following experiment. He flips a fair coin repeatedly until he gets a 'T' and counts the number of coin flips needed. (a) Approximate the probability that in a (non-leap) year there are at least 3 days when he needed strictly more than 8 coin flips. (b) Approximate the probability that in a year there are strictly more than 86 days when he needed exactly 2 coin flips.
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