What’s the birthday paradox

Question

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?

In: 134

Answer 1

Here are some statistics I derived using a Matlab script for this paradox:

With a group of 1 there is a 0% chance.

With a group of 15 there is a 25% chance.

With a group of 23 there is a 50% chance.

With a group of 50 there is a 97% chance.

With a group of 69 there is a 99.9% chance.

🙂