You have a 50 per cent chance of sharing a birthday In any group of 23 people
Автор: Do you know Pedia
Загружено: 2025-11-26
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You have a 50 per cent chance of sharing a birthday with a friend. In any group of 23 people, two people will share a birthday, according to the maths. To find the probability of everyone in the group having a unique birthday, multiply all 23 probabilities together, giving 0.493. So the probability of a shared birthday is 1 - 0.493 = 0.507, or 50.7 per cent.
Most people think, "There are 365 days in a year, so I need 183 people to get to 50%." But that is only if you are looking for someone to share your specific birthday.The paradox works because we are looking for any two people in the group to share a birthday. With 23 people, there are 253 different possible "pairings" of people. Each pair is a new chance for a match.Mathematically,
This is the famous "Birthday Paradox," and it is one of the most counterintuitive facts in all of mathematics. It’s a perfect topic for a video because it feels like it should be wrong, but the math is undeniable.
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Math & Science Focus: Probability theory, exponent math, coincidences explained, combinatorics for beginners, mathematics of chance, Pigeonhole Principle (related), how statistics work.
Search-Based Phrases: How many people do you need to share a birthday? Is the birthday paradox real? Why do 23 people have a 50 percent chance? Math riddles that feel wrong, famous probability puzzles.
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