Question

Probability of Outcomes:



Students in the 7th and 8th grade at Brookoak 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 completely engaged in the activities:







What is the probability that: The winner is an 8th grader?


Question 2 - Multiple Choice
Points: 1
Students in the 7th and 8th grade at Brookoak 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 completely engaged in the activities:







What is the probability that: The winner is from Homeroom B?


Question 3 - Multiple Choice
Points: 1
Probability of Outcomes:



Students in the 7th and 8th grade at Brookoak 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 completely engaged in the activities:







What is the probability that: The winner is a 7th grader in Homeroom C?


Question 4 - Multiple Choice
Points: 1
Probability of Outcomes:



Students in the 7th and 8th grade at Brookoak 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 completely engaged in the activities:







What is the probability that: The winner is not in Homeroom A?




Question 5 - Multiple Choice
Points: 1
Caleb is creating a sign with the words “The United States of America”, with each letter having its’ own cutout. If a letter is randomly chosen, what is the probability that: a. Caleb will choose the letter A?

Answer 1

I can solve these, but the table with the numbers for Questions 1–4 is missing. Please paste the table (or the counts for each grade × homeroom cell). Once I have those I’ll compute Q1–Q4.

Meanwhile, here is Q5:

Phrase: "The United States of America"
- Total letters (ignore spaces): 24
- Number of letter A’s (counting both A and a): 3

Probability Caleb chooses an A = 3/24 = 1/8 = 12.5%.

Also: when you send the table, I’ll use these formulas:
- P(winner is 8th grader) = (sum of 8th-grade counts) / (total)
- P(winner is from Homeroom B) = (sum of Homeroom B counts) / (total)
- P(winner is 7th grader in Homeroom C) = (7th Homeroom C count) / (total)
- P(winner is not in Homeroom A) = 1 − (sum of Homeroom A counts) / (total)