A Section of an Exam Contains Two Multiple-Choice Questions, Each $2 / 3$

question 9

Multiple Choice

A section of an exam contains two multiple-choice questions, each with three answer choices (listed "A", "B", and "C") . Assuming the outcomes to be equally likely, find the probability (as a reduced fraction) that at least one answer is "A". [Hint: List all the outcomes of the sample space first.]

• A) \(2 / 3\)
• B) \(5 / 9\)
• C) \(7 / 9\)
• D) \(1 / 3\)

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Definitions:

Total Utility

The total satisfaction or benefit derived from consuming a given quantity of goods or services.

Budget

An estimate of income and expenditure for a set period of time, often used by governments, businesses, and individuals to allocate resources.

Utility-maximizing Combination

The selection of goods and/or services that provides the highest utility (satisfaction) for a consumer subject to their income and the prices of the goods/services.

Total Utility

The total satisfaction received from consuming a specific quantity of a good or service.