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 Happy Birthday (3) (Posted on 2006-06-09)
In Happy Birthday, the question was if there are N people in a room, what is the probability that there are at least two people in the room who share a birthday?

What if instead exactly two was required? If there are N people in a room, what is the probability that there are exactly two people in the room who share a birthday?

(Note: Assume leap year doesn't exist, and the birthdays are randomly distributed throughout the year.)

 No Solution Yet Submitted by Sir Percivale Rating: 4.0000 (3 votes)

 Subject Author Date re(2): thoughts faye 2006-06-15 21:20:09 re(5): thoughts Bob Smith 2006-06-12 09:12:34 re(4): thoughts Bob Smith 2006-06-12 07:59:24 re(3): thoughts Charlie 2006-06-09 17:03:43 re(5): thoughts Charlie 2006-06-09 16:55:49 re: solution -- simulation of 20,000 trials of n=19 Charlie 2006-06-09 16:53:44 re(4): thoughts Leming 2006-06-09 16:50:10 re(3): thoughts Charlie 2006-06-09 14:57:45 re(2): thoughts Bob Smith 2006-06-09 13:43:27 solution Charlie 2006-06-09 11:50:07 re: thoughts Robby Goetschalckx 2006-06-09 08:02:39 thoughts Bob Smith 2006-06-09 07:38:11

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