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Happy Birthday (Posted on 2003-03-27) Difficulty: 3 of 5
Find the least positive integer 'N' so that, in a room containing 'N' people, the odds that two of the people have the same birthday (not the year, just the day) are more than 50%.

[Note: Forget about Leap Year. Assume that a year has 365 days and that people are born randomly throughout the year].

See The Solution Submitted by Ravi Raja    
Rating: 3.8333 (6 votes)

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re: Comment 5 of 5 |
(In reply to by Bart freeman)

Of course, the more people there are in the room the more likely it is to have a match. While 23 (not 22) is the least that will give a larger probability of a match than not, 40 gives even better odds of finding a match. There's no contradiction there.
  Posted by Charlie on 2003-09-29 20:17:37

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