Assumethatbirthdaysareequallylikelytooccurinanyone of the
Chapter 9, Problem 9.113(choose chapter or problem)
Assumethatbirthdaysareequallylikelytooccurinanyone of the 12 months of the year. a. Given a group of four people, A, B,C, andD, what is thetotalnumberofwaysinwhichbirthmonthscouldbe associated with A, B,C, andD? (For instance, A and B might have been born in May, C in September, and D in February. As another example, A might have been born in January, B in June, C in March, and D in October.) b. How many ways could birth months be associated with A, B,C, andD so that no two people would share the same birth month? c. How many ways could birth months be associated with A, B,C, andD so that at least two people would share the same birth month? d. What is the probability that at least two people out of A, B,C, andD share the same birth month? e. How large must n be so that in any group of n people, the probability that two or more share the same birth month is at least 50%?
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