Question

Mrs. Benton's Art Class
Student Grade
Arthur 7
Jeff 8
Anna 7
Molly 8
Sara 8
Bryan 7
Joseph 8
Michael 7
Susan 8
Maria 7


Mrs. Benton selects one student's work to display on a bulletin board each week. Each student's name is placed in a bag from which Mrs. Benton draws a name. What is the probability that an eighth grade student will NOT be selected?
Responses
A






3 10
B






2 5
C






1 2
D

Answer 1

To find the probability that an eighth-grade student will NOT be selected, we first need to determine the total number of students and the number of eighth-grade students.

From the list you provided:

- Total number of students: 10 (Arthur, Jeff, Anna, Molly, Sara, Bryan, Joseph, Michael, Susan, Maria)
- Eighth-grade students: 5 (Jeff, Molly, Sara, Joseph, Susan)

Now we can find the number of students who are NOT in the eighth grade:

- Seventh-grade students: 5 (Arthur, Anna, Bryan, Michael, Maria)

Now we can calculate the probability:

1. The total number of students is 10.
2. The number of students who are NOT in eighth grade is 5.

The probability that a student who is NOT in eighth grade is selected is given by the formula:

\[
P(\text{Not eighth grade}) = \frac{\text{Number of NOT eighth grade students}}{\text{Total number of students}} = \frac{5}{10} = \frac{1}{2}
\]

So, the probability that an eighth-grade student will NOT be selected is:

\[
\frac{1}{2}
\]

Thus, the correct answer is:

C) \( \frac{1}{2} \)