Consider a class in which there are 40 students enrolled.

Consider a class in which there are 40 students enrolled.  (In what follows, ignore February 29^th)

John is a student in this class.  What is the probability that at least one other student in the class has John’s birthday (Day and month, but not necessarily the year)?

What is the probability that, among the 40 students, there are at least two students with the same birthday?