There are n people gathered in a room. (i) What is the probability that two (at least) have the same birthday? Calculate the probability for n=22 and 23. (ii) What is the probability that at least one has the same birthday as you? What value of n makes it close to 1/2? %3D

College Algebra
7th Edition
ISBN:9781305115545
Author:James Stewart, Lothar Redlin, Saleem Watson
Publisher:James Stewart, Lothar Redlin, Saleem Watson
Chapter9: Counting And Probability
Section9.3: Binomial Probability
Problem 2E: If a binomial experiment has probability p success, then the probability of failure is...
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There are n people gathered in a room.
(i)
What is the probability that two (at least) have the same birthday? Calculate the
probability forn=22 and 23.
(ii) What is the probability that at least one has the same birthday as you? What
value of n makes it close to 1/2?
%3D
Transcribed Image Text:There are n people gathered in a room. (i) What is the probability that two (at least) have the same birthday? Calculate the probability forn=22 and 23. (ii) What is the probability that at least one has the same birthday as you? What value of n makes it close to 1/2? %3D
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