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Problem #37 MEDIUM

The Duplicate Birthday

Meta Apple Probability Statistics

Problem Statement

A teacher walks into a classroom of 23 students. She bets the class that at least two students share the same birthday. The students laugh — with 365 days in a year and only 23 students, the odds seem ridiculously low. The teacher says she will take that bet every single time she teaches this course. Who has the better side of this bet, and why is the answer so counterintuitive?

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