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.

Question

Quizplus · Accepted Answer

The Answer of 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.

Which of the Following Statements Is True for Any Two