A math class has 25 students. Assuming that all of the students were born in the first half of the year – between January 1st and June 30th – what is the probability that at least two students have the same birthday? Assume that nobody was born on leap day, so there are 181 possible birthdays.

A math class has 25 students. Assuming that all of the students were born in the first half of the year – between January 1st and June 30th – what is the probability that at least two students have the same birthday? Assume that nobody was born on leap day, so there are 181 possible birthdays.

Operations Research : Applications and Algorithms

4th Edition

ISBN:9780534380588

Author:Wayne L. Winston

Publisher:Wayne L. Winston

Chapter12: Review Of Calculus And Probability

Section12.6: The Normal Distribution

Problem 2P

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Concept explainers

Random Variables

A random variable Z is a real valued function of the type Z: S → R on a sample space S. That means the function assigns a real number to every primitive event in the sample space. In other words, a random variable is a function mapping a sample space S to a set of real numbers R.

Question

A math class has 25 students. Assuming that all of the
students were born in the first half of the year – between
January 1st and June 30th– what is the probability that at
least two students have the same birthday? Assume that
nobody was born on leap day, so there are 181 possible
birthdays.

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