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) 7/9
C) 1/3
D) 2/3

Question

Quizplus · Accepted Answer

The sample space for two questions with three answer choices each is 3 * 3 = 9. 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 set of three outcomes, resulting in a total probability of 2/3.

A Section of an Exam Contains Two Multiple-Choice Questions, Each