Assume birthdays are equally likely to occur on any day of the year, and ignore

Question

Assume birthdays are equally likely to occur on any day of the year, and ignore February 29th. Consider only the month and the day, not the year. Complete parts (a) through (d) below. a) In a group of four randomly-chosen people, find the probability that all four have a different birthdate, and the probability that at least one birthdate is shared Write an expression that models the probability that all four have a different birthdate. Select the correct choice below and, if necessary, fill in the answer box(es) within your choice. (Type whole numbers.) O A. B. O c. The probability that all four have a different birthdate is (Round to four decimal places as needed.) The probability that at least one birthdate is shared is Round to four decimal places as needed.)

Explanation / Answer

a) 365p4/(365)^4=0.983644087

   1-{365p4/(365)^4}=1-0.983644087

                           =0.016355912

b)365p9/(365)^9

    =0.905376166

   1-0.905376166

     =0.094623833

c)

365pn /(365)^n < 0.25

solving we get

n=32

d) it would take infinity many people.

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