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 a girl's name will NOT be selected?
Responses
A





1 10
B





2 5
C





1 2
D

Answer 1

To determine the probability that a girl's name will NOT be selected, we first need to count the number of girls and boys in Mrs. Benton's art class.

From the given list:

- Girls: Anna, Molly, Sara, Susan, Maria (5 girls)
- Boys: Arthur, Jeff, Bryan, Joseph, Michael (5 boys)

Total number of students = 10 (5 girls + 5 boys)

Next, we want to find the probability that a boy's name is selected. This is equivalent to 1 minus the probability of selecting a girl's name.

The probability of selecting a boy's name is calculated as follows:

\[
\text{Probability of selecting a boy's name} = \frac{\text{Number of boys}}{\text{Total number of students}} = \frac{5}{10} = \frac{1}{2}
\]

Therefore, the probability that a girl's name will NOT be selected is:

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

The correct response is:

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