Which of the following statements is always true for any two events A and B defined on a sample space S?
A)If the complement of event A is the empty set,then event A is the sample space S.
B)If the union of events A and B is not the empty set,∅ then A ∩ B = ∅.
C)If events A and B are mutually exclusive,then A ∪ B = S.
D)If events A and B are collectively exhaustive,then A ∪ B = ∅.

Question

Quizplus · Accepted Answer

If the complement of event A is the empty set, then A contains all possible outcomes in S. Therefore, A is equal to S.

Which of the Following Statements Is Always True for Any