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Welcome to Smogon! Take a moment to read the Introduction to Smogon for a run-down on everything Smogon, and make sure you take some time to read the global rules.
the first person does not share a birthday with anyone
the second person has a 364/365 chance of not sharing a birthday with the first person
the third person has one less available day than the second person, and as such has a 363/365 chance of not sharing a birthday with either person in front...