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November 30th, 2007, 07:14 AM   #1
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a probability/gambling/odds making question

Hello--

If you make an even bet that two people in a group would have the same birthday, why is it that whenever there are more than twenty-two people in the room you have an edge?

Also, can someone explain in general terms what specific branches of probability this question involves and recommend books and/or internet resources for learning such skills and doing loads of practice problems?

Thanks so much!
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November 30th, 2007, 10:16 AM   #2
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Re: a probability/gambling/odds making question

Quote:
Originally Posted by captainglyde
If you make an even bet that two people in a group would have the same birthday, why is it that whenever there are more than twenty-two people in the room you have an edge?
Because, naturally enough, the probability is greater than 1/2 that this is true. The usual way of calculating this is
1 - product (n = 1, 22, (366 - n) / 365)

Quote:
Originally Posted by captainglyde
Also, can someone explain in general terms what specific branches of probability this question involves and recommend books and/or internet resources for learning such skills and doing loads of practice problems?
I couldn't. This isn't in any particular branch, it's just general/elementary probability. Perhaps some of the other forum members could help.
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