Mrs. Baker’s students write word problems each week, and she selects one student's word problem to display on a bulletin board each week. Each student's name is placed in a bag from which Mrs. Baker draws a name. What is the probability that an eighth grade student will NOT be selected?
EXPLAIN your process and give your answer as a % or simplified fraction.
| Student | Grade |
Arthur | 7
Jeff | 6
Anita | 7
Mitara | 8
Saree | 8
Bryan | 7
Micheal | 8
Susanna | 6
Maria | 6
There are a total of 9 students in the bag, 3 of whom are eighth graders. To find the probability that an eighth grade student will NOT be selected, we need to find the probability of selecting a seventh or sixth grader.
There are 6 seventh or sixth graders out of the total 9 students, so the probability of NOT selecting an eighth-grade student is 6/9 or 2/3.
Therefore, the probability that an eighth-grade student will NOT be selected is 2/3 or approximately 66.67%.