There are 36 students enrolled in this class. What is the probability that at least two...
There are 36 students enrolled in this class. What is the probability that at least two of the students have the same birthday? (Ignore the possibility that someone might have been born on Feb. 29.)
Homework Answers
Use the formula to find the probability that nobody has same birthday, 365!/365n (365 - n)!
n = 36
365!/ (36536)(365-36)!
= 0.1678
This is the probability that nobody has the same birthday, so the probability that two (or more) people have the same birthday is the complement of 0.1678
Required probability = 1 - 0.1678 = 0.8322
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