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The first thing to note is that names and birthdays are independent of each other. Someone born on 5th June isn't more likely to be called Chris, and someone called Katie isn't more likely to be born on 20th October, or whatever.

Thus the probability is equal to the probability someone has your name, multiplied by the probability someone has your birthday.

The latter is just 1/365.25, as you are equally likely to be born on each day.

The former could be anything. If you have a really common name, that 1 in 1,000 people have, then the probability of someone having the same birthday and name as you will be 1/365,250

Multiply this probability by the world population (which we'll round to 7 billion) and you get:

7,000,000,000/365,250

= 19,165

so 19,165 people would have the same name and birthday as you!

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Q: How many people have the same name and birthday as you?
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