A Section of an Exam Contains Two Multiple-Choice Questions, Each $1 / 3$

question 25

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 both answers are "C". [Hint: List all the outcomes of the sample space first.]

• A) \(1 / 3\)
• B) \(1 / 6\)
• C) \(1 / 9\)
• D) \(1 / 27\)

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Definitions:

Common Welfare

A concept referring to the overall health, happiness, and well-being of a group or society.

Humanity

The collective qualities and conditions of human beings, including kindness, compassion, and understanding towards others.

Scientific Respectability

This term indicates the degree to which a field or method is regarded with esteem and credibility by the scientific community.

Oversocialized

A descriptor for individuals who may be excessively integrated into social norms and expectations, potentially at the expense of their personal autonomy.