Assume birthdays are equally likely to occur on any day of the year, and ignore February 29th. Consider only the month a

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Assume Birthdays Are Equally Likely To Occur On Any Day Of The Year And Ignore February 29th Consider Only The Month A 1 (19.61 KiB) Viewed 34 times

Assume Birthdays Are Equally Likely To Occur On Any Day Of The Year And Ignore February 29th Consider Only The Month A 2 (28.11 KiB) Viewed 34 times

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) bolow 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.) 365 A. OB 365 OC

The probability that all four have a different birthdate is 0.9836 (Round to four decimal places as needed.) The probability that at least one birthdate is shared is 0.0164 (Round to four decimal places as needed.) b) Repeat part (a) for a group of 10 randomly chosen people. The probability that all 10 have a different birthdate is 0 (Round to four decimal places as needed.) The probability that at least one birthdate is shared is 9 (Round to four decimal places as needed.) c) What is the smallest number of randomly-chosen people needed so that the probability of at least one shared birthdate is above 0.5? The smallest number of people required is 15 d) What is the smallest number of randomly chosen people needed for the probability of a shared birthdate to be certain? Select the correct choice below and, if necessary, fill in the answer box within your choice. A. The smallest number of people required is 366