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) 1/9
B) 1/27
C) 1/3
D) 1/6

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}, making 9 outcomes in total. Only one of these outcomes is CC, so the probability is 1/9.

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