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) 1/3
C) 2/3
D) 5/9

Question

Quizplus · Accepted Answer

The sample space for each question is {A, B, C}, so for two questions, it's {AA, AB, AC, BA, BB, BC, CA, CB, CC}. Outcomes without a "B" are {AA, AC, CA, CC}, which is 4 out of 9 total outcomes, so the probability is 4/9.

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