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?
First, we need to calculate the total number of students who participated in the engagement activities.
Total number of 7th graders who participated = 8 + 10 + 7 = 25
Total number of 8th graders who participated = 9 + 10 + 9 = 28
Total number of all students who participated = 25 + 28 = 53
The probability of the winner being a 7th grader in homeroom C is:
(Number of 7th graders in homeroom C who participated) / (Total number of students who participated) = 7 / 53 ≈ 0.1321
Therefore, the probability the winner is a 7th grader in homeroom C is approximately 0.1321.