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#212:Whipsmart Birthday

Season:  1
Number:  212
Wave:  2
Color:  black
Suit:  star suit
Corner:  bottom right corner
Card's Points:  53
Card Group's Points:  212
Reverse:  map reverse
Playing Card: 
Number Marks: 
Official Statistics
For their tenth anniversary, Whipsmart Icecream held a competition at
their parlour. The manager announced that they would give a year's worth
of free ice cream to the first person in the line whose birthday is the same
as someone else in front who has already bought an ice cream.

Assuming that all birthdays are randomly distributed in the year and you
don't know anyone else's birthday, what position in the line would give
you the greatest chance of being the first duplicate birthday and bagging
a whole lot of ice cream (plus a dentist's appointment)?

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PXCCC 2.0 2007-03-05 22:48:08 PST