Students in the 7th and 8th grade at Imawinner Middle School are going on a field trip to the planetarium. If a student actively participates in the engagement activities at the planetarium, 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?

3 answers

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

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

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

Next, we need to find the number of students who are 7th graders in Homeroom C:

Number of 7th graders in Homeroom C = 7

Finally, we can calculate the probability the winner is a 7th grader in Homeroom C by dividing the number of 7th graders in Homeroom C by the total number of students who engaged:

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

Therefore, the probability the winner is a 7th grader in Homeroom C is 0.1321 or 13.21%.
can you do that as a fraction
Sure! The probability can be expressed as the fraction:

Probability = 7/53

Therefore, the probability the winner is a 7th grader in Homeroom C is 7/53.