Suppose there are k students in a class, where 2 ≤ k ≤ 365. What is the probability that at least two students have the same birthday? Here, by the same birthday, we mean the same day of the same month, but not necessarily of the same year. Moreover, we make the following assumptions: (1) No twins in the class; (2) Each of the 365 days is equally likely to be the birthday of anyone in the class; (3) Anyone born on Feb. 29 will be considered as on March 1.

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