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Problem #92 EASY

The Probability of Two Strangers Sharing a Birthday

Paradox Probability Combinatorics

Problem Statement

You walk into a room of 23 strangers. Someone bets you ₹100 that at least two people in the room share the same birthday. You think: 365 days in a year, only 23 people — surely the odds are against them. You take the bet. Who wins? Now here is the follow-up that makes it even stranger: how many people do you need before the probability of a shared birthday exceeds 99%?

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