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
Homeroom A 8
Homeroom B 10
Homeroom C 7
8th
Homeroom A 9
Homeroom B 10
Homeroom C 9
What is the probability the winner is a 7th grader in Homeroom C?
79
7 ninths
7 over 25
7 over 16
7 over 53
In order to calculate the probability of the winner being a 7th grader in Homeroom C, we first need to determine 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 students who participated = 25 + 28 = 53
The probability of the winner being a 7th grader in Homeroom C is the number of students in 7th Grade Homeroom C who participated divided by the total number of students who participated:
7 / 53 = 7/53 ≈ 0.1321
Therefore, the probability the winner is a 7th grader in Homeroom C is 7/53.