What’s the birthday paradox

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So the birthday paradox is where if you’re in a room with 23 other people there’s a 50% chance of at least two people having the same birthday. Alternatively, In a room of 75 there’s a 99.9% chance of at least two people matching.

Why is this?

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26 Answers

Anonymous 0 Comments

You are not looking for another person who matches **your** birthday necessarily. You are looking for *any* two people in the group who share a birthday. So the odds of **any pair** matching is the cumulative odds of each person. You start with 22/365 odds of at least one person and you have to add on everyone elses odds (slightly reduced).

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