Solved: Pattern Recognition Consider a group of people.
Chapter , Problem 8.7.67(choose chapter or problem)
Pattern Recognition Consider a group of people. (a) Explain why the following pattern gives the probabilities that the people have distinct birthdays. (b) Use the pattern in part (a) to write an expression for the probability that people have distinct birthdays. (c) Let be the probability that the people have distinct birthdays. Verify that this probability can be obtained recursively by and (d) Explain why gives the probability that at least two people in a group of people have the same birthday. (e) Use the results of parts (c) and (d) to complete the table. (f) How many people must be in a group so that the probability of at least two of them having the same birthday is greater than Explain.
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