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Majorization and the Birthday Inequality

by M. Lawrence Clevenson (California State University Northridge) and William Watkins (California State University Northridge)

This article originally appeared in:
Mathematics Magazine
June, 1991

Subject classification(s): Statistics and Probability | Probability
Applicable Course(s): 7.2 Probability

It is known that the probability that at least two persons in a group have the same birthday, when the birthday distribution is not uniform, is no less than the probability when the distribution is uniform.

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Capsule Course Topic(s):
Probability | Famous Problems, Birthday
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