If $P ( A \mid B ) = 0$ And $P ( A ) \neq 0$

question 270

Multiple Choice

If $P ( A \mid B ) = 0$ and $P ( A ) \neq 0$ , then which statement is false?

• A) Events \(A\) and \(B\) have no sample points in common.
• B) Events \(A\) and \(B\) are dependent.
• C) Events \(A\) and \(B\) are independent.
• D) Events \(A\) and \(B\) are mutually exclusive.

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Definitions:

Existential

Pertaining to existentialism, a philosophy that emphasizes individual freedom, choice, and responsibility.

Gestalt

A psychological theory that proposes objects are viewed in their entirety before it is possible to perceive their parts, emphasizing holistic processing.

Behavioral

Relating to the actions or reactions of a person or animal in response to external or internal stimuli.

Behaviorism

A branch of psychology that studies observable behavior, emphasizing the role of environmental factors in shaping behavior, excluding subjective factors like feelings or motives.