don’t know why but if i try to explain why i don’t get this paradox the post gets removed
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The birthday paradox seems to defy our intuition.
If we consider that there is 365 days in a year, it seems crazy that in a room of 23+ people, some pair of people probably shares a birthday. That’s because 365 seems way larger than 23.
But in 23 people, how many pairs of people are there? Each pair is 2 people, so there’s 23 choices for the first person and 22 choices for the second person. Order doesn’t matter, so divide by 2 to avoid double counting.
23*22/2= 253 different pairs of people possible in the room. That means there’s effectively 253 different chances for a pair of people to share a birthday! Now it’s a lot easier to see why it’s so probable. Each chance is very unlikely, but 253 is so many chances that it adds up.
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