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?
answers:
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.
For Homeroom C: 7 (7th graders) + 9 (8th graders) = 16 students
The probability that the winner is a 7th grader in Homeroom C is the number of 7th graders in Homeroom C divided by the total number of students who engaged in the activities.
So, the probability is 7/16 or c. 7/16.