If $$P ( A \mid B ) = 0 \text { and } P ( A ) \neq 0$$

question 252

Multiple Choice

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

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

---

Definitions:

Transitive Preferences

A condition in decision-making where if an individual prefers option A over B, and B over C, then they must also prefer A over C.

Characteristics

Distinctive features or qualities that define a person, object, or phenomenon.

Utility Function

A mathematical representation of a consumer's preference, showing the level of satisfaction or utility derived from different bundles of goods and services.

Indifference Curve

A curve that shows the different bundles of goods between which a consumer is indifferent, highlighting the trade-offs a consumer is willing to make.