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

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) $1 / 27$