This is the sort of analysis that the Numbers Guy should be debunking rather than endorsing. The Law of Big Numbers tells us that the chances that SOMEONE will have three children with the same birthday is 100% The only meaningful time to calculate the chances that it will happen to a particular person is before the event(s), not after. It is just like the lottery. Someone is going to win. After the fact, it is not shocking that it was the waitress from Albany who picked the lucky number.