Which of the Following Statements Is True for Any Two

Multiple Choice

Which of the following statements is true for any two events A and B defined on a sample space S?

A) If the intersection of events A and B is the empty set,then A and B are collectively exhaustive.
B) If the union of events A and B is the empty set,then each of A and B is the empty set.
C) If events A and B are collectively exhaustive,then A ∪ B ≠ ∅.
D) If events A and B are mutually exclusive and collectively exhaustive,then the union of A and B is not necessarily the sample space.