The intersection of events A and B is the event that occurs when:

A) either A or B occurs but not both
B) neither A nor B occur
C) both A and B occur
D) All of these choices are true.

The intersection of events A and B is the event that occurs when both A and B occur. This is known as the intersection because it represents the overlap between the two events. Option A is the definition of XOR (exclusive OR) and option B represents the complement of the union of A and B, which is not the same as the intersection. Option D is incorrect because only option C is true.