Probability and Birthdays

_AVG_

Here's a probability question:

"There are two football (soccer) teams on the pitch along with the referee making it 23 people totally. Is it more probable or less probable that two people on the pitch share the same birthday?"

Afaceinthematrix

It's about the same... At 23 people the probability is about 50% (if my memory serves me correct, the percentage is slightly - not very much - higher than 50%... it's been a while since I've calculated it out).

Bikerman

Hmm...same here. I seem to remember the probability at 49% for a coincident birthday vs 51% against....I'd have to do the sums to confirm that and I've got a lot of other stuff to do at the moment Smile

Xanatos

Are we talking about the same birthday as in same day and month, or as in same day?

Bikerman

Afaceinthematrix

I did a bit of looking and found another great link with the problem. It's a wiki link. I like it because it includes tables and graphs... Likewise, I've done the calculating and I do not want to do it again as it takes a while and it's easier to just use google.

http://en.wikipedia.org/wiki/Birthday_paradox

guissmo

That problem is interesting. The first site kinda skipped a few arithmetic steps and I was too lazy to verify. Very Happy

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