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.
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
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.