Suppose that 170,000 couples married last year in Texas.(a)  Approximate the probability that in at least one couple, both partners sharea birthday on January 12th. (Hint: treat each couple as a “trial” and use a Poissondist.)(b)  Approximate the probability that in at least one of these couples, bothpartners have their birthdays in the same month.

A First Course in Probability (10th Edition)
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Chapter1: Combinatorial Analysis
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Suppose that 170,000 couples married last year in Texas.
(a)  Approximate the probability that in at least one couple, both partners share
a birthday on January 12th. (Hint: treat each couple as a “trial” and use a Poisson
dist.)
(b)  Approximate the probability that in at least one of these couples, both
partners have their birthdays in the same month. 

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