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.
B
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