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.

Question

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 NOT in Homeroom B?
A. 10/53
B. 20/53
C. 33/53
D. 20/53

GPT 3.5 · Answer

The total number of students who participated in the engagement activities at the planetarium is 8 + 10 + 7 + 9 + 10 + 9 = 53.

The number of students from Homeroom B who participated is 10 + 10 = 20.

Therefore, the probability that the winner is NOT in Homeroom B is (53 - 20)/53 = 33/53.

So, the correct answer is C. 33/53.