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.

What is the probability the winner is NOT in Homeroom B?

(1 point)
Responses

1053
10 over 53

2053
20 over 53

3353
33 over 53

2053
20 over 53
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The probability the winner is NOT in Homeroom B can be calculated by adding the number of students in all other homerooms who engaged in the activities and then dividing by the total number of students who participated.

Total number of students who participated and engaged in activities = 1053 + 2053 + 3353 + 2053 = 850

Number of students in Homeroom B who engaged in activities = 2053

Number of students in other homerooms who engaged in activities = 1053 + 3353 = 4406

Probability the winner is NOT in Homeroom B = 4406/850 = 20/53

Therefore, the probability the winner is NOT in Homeroom B is 20 over 53.