Determine the probability that at least 2 people in a room of 8 people share the same birthday, ignoring leap years and assuming each birthday is equally likely, by answering the following questions: (a) Compute the probability that 8 people have different birthdays. (b) The complement of "8 people have different birthdays" is "at least 2 share a birthday". Use this information to compute the probability that at least 2 people out of 8 share the same birthday. ... (a) The probability that 8 people have different birthdays is. (Round to four decimal places as needed.) (b) The probability that at least 2 people share a birthday is (Round to four decimal places as needed.)

College Algebra
10th Edition
ISBN:9781337282291
Author:Ron Larson
Publisher:Ron Larson
Chapter8: Sequences, Series,and Probability
Section8.7: Probability
Problem 4ECP: Show that the probability of drawing a club at random from a standard deck of 52 playing cards is...
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Determine the probability that at least 2 people in a room of 8 people share the same birthday, ignoring leap years and assuming each birthday is equally likely, by
answering the following questions:
(a) Compute the probability that 8 people have different birthdays.
(b) The complement of "8 people have different birthdays" is "at least 2 share a birthday". Use this information to compute the probability that at least 2 people out of
8 share the same birthday.
....
(a) The probability that 8 people have different birthdays is.
(Round to four decimal places as needed.)
(b) The probability that at least 2 people share a birthday is
(Round to four decimal places as needed.)
Transcribed Image Text:Determine the probability that at least 2 people in a room of 8 people share the same birthday, ignoring leap years and assuming each birthday is equally likely, by answering the following questions: (a) Compute the probability that 8 people have different birthdays. (b) The complement of "8 people have different birthdays" is "at least 2 share a birthday". Use this information to compute the probability that at least 2 people out of 8 share the same birthday. .... (a) The probability that 8 people have different birthdays is. (Round to four decimal places as needed.) (b) The probability that at least 2 people share a birthday is (Round to four decimal places as needed.)
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