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 the second answer is either "B" or "C". [Hint: List all the outcomes of the sample space first.]
A) $5 / 9$
B) $1 / 3$
C) $7 / 9$
D) $2 / 3$

Question

Quizplus · Accepted Answer

The sample space for two questions with three answer choices each is 3 x 3 = 9 outcomes. For the second question to be either "B" or "C", there are 2 favorable outcomes for the second question regardless of the first question's answer. Thus, the probability is 2/3 for each of the 3 possibilities of the first question, making it 6/9 or 2/3 in total.

A Section of an Exam Contains Two Multiple-Choice Questions, Each 5/95 / 95/9

A Section of an Exam Contains Two Multiple-Choice Questions, Each $5 / 9$