Solved: Birthday are in a class that has 24 students. You

Chapter 3, Problem 40E

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Problem 40E

Birthday Problem You are in a class that has 24 students. You want to find the probability that at least two of the students have the same birthday.

(a) First, find the probability that each student has a different birthday.

(b) The probability that at least two students have the same birthday is the complement of the probability in part (a). What is this probability?

(c) Use technology to simulate the “Birthday Problem” by generating 24 random numbers from 1 to 365. Repeat the simulation 10 times. How many times did you get at least two people with the same birthday?

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