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 neither of the answers is "B". [Hint: List all the outcomes of the sample space first.]
A) $4 / 9$
B) $2 / 3$
C) $5 / 9$
D) $1 / 3$

Question

Quizplus · Accepted Answer

The sample space for two questions with three choices each is 3*3 = 9 outcomes. The outcomes where neither answer is "B" are AA, AC, CA, and CC, totaling 4 outcomes. Thus, the probability is 4/9.

A Section of an Exam Contains Two Multiple-Choice Questions, Each 4/94 / 94/9

A Section of an Exam Contains Two Multiple-Choice Questions, Each $4 / 9$