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. 7th grade: Homeroom A-8; Homeroom B-10; Homeroom C-7; 8th grade: Homeroom A-9; Homeroom B-10; Homeroom C-9; What is the probability the winner is a 7th grader in Homeroom C?

1 answer

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

Total number of 7th graders = 8 (Homeroom A) + 10 (Homeroom B) + 7 (Homeroom C) = 25
Total number of 8th graders = 9 (Homeroom A) + 10 (Homeroom B) + 9 (Homeroom C) = 28

Total number of students who participated = 25 (7th graders) + 28 (8th graders) = 53

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

Probability = (number of students in 7th grade Homeroom C) / (total number of students who participated)
Probability = 7 / 53
Probability = 0.1321 or 13.21%

Therefore, the probability that the winner is a 7th grader in Homeroom C is 0.1321 or 13.21%.