Daily Puzzle - February 22

At a movie theatre, the manager announces that they will give a
free ticket to the first person in line whose birthday is the
same as someone who has already bought a ticket. You have the
option of getting in line at any time. Assuming that you don't
know anyone else's birthday, that birthdays are distributed
randomly throughout the year, etc., what position in line gives
you the greatest chance of being the first duplicate birthday?

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Source: BrainBashers Daily Puzzle (http://www.brainbashers.com)
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