Students in the 7th and 8th grade at Imawinner Middle School are going on a field trip to the aquarium. If a student actively participates in the engagement activities at the aquarium, they are entered into a raffle to win a free lunch from their favorite restaurant. The table below shows the number of students in each grade and homeroom who engaged in the activities.

Question

Homeroom A | Homeroom B | Homeroom C
7th Grade | 8 | 10 | 7
8th Grade | 9 | 10 | 9

What is the probability the winner is a 7th grader in Homeroom C? (1 point)

A. 7/9

B. 7/25

C. 7/16

D. 7/53

Answer 1

First, we need to find the total number of students who engaged in the activities:

7th Grade: 7 (Homeroom C)
8th Grade: 9 (Homeroom C)

Total: 7 + 9 = 16

Now, we need to find the probability that the winner is a 7th grader in Homeroom C:

Probability = Number of 7th graders in Homeroom C / Total number of students who engaged

Probability = 7 / 16

Therefore, the probability that the winner is a 7th grader in Homeroom C is 7/16.

The correct answer is C. 7/16.