Part of a student opinion poll at a university asks students what they think of the quality of the existing student union building on the campus. The possible responses were great, good, fair, and poor. Another part of the poll asked students how they feel about a proposed fee increase to help fund the cost of building a new student union. The possible responses to this question were in favor, opposed, and no opinion.
a. List all potential outcomes in the sample space for someone who is responding to both questions.
b. Show how a tree diagram can be used to display the outcomes listed in part a.