Which of the Following Statements Is True for Any Two

question 326

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.

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Definitions:

Unilateral

An action or decision made by one party or nation without the agreement or consultation of others, often in the context of international relations or policy-making.

Sequential

Pertaining to or describing events, processes, or items in a specific order or sequence.

Reciprocal Interdependence

A situation or relationship in which two or more entities depend on each other equally for resources, information, or outcomes.

Silence

The absence of verbal communication, which can be strategic or arise from various situational or psychological factors.