4.1 It is well known that 23 “random” people have a probability of about 1/2 of having at least one shared birthday. There are 365×24×60 = 525,600 min in a year.

(We’ll ignore leap days.) Suppose each person is labeled by the minute in which he or she was born, so that there are 525,600 possible labels. Assume that a “random”

person is equally likely to have any of the 525,600 labels, and that different “random”

people have independent labels?