Question

Question 1 - 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 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?


1-4 graph. 7th grade a 8 b 10 7 c 7
8th grade a 9 b 10 9

Answer 1

I'll assume the table entries are:
7th: A = 8, B = 10, C = 7
8th: A = 9, B = 10, C = 9
Total = 8+10+7+9+10+9 = 53.

1) P(winner is an 8th grader) = (9+10+9)/53 = 28/53.

2) P(winner is from Homeroom B) = (10+10)/53 = 20/53.

3) P(winner is a 7th grader in Homeroom C) = 7/53.

4) P(winner is not in Homeroom A) = 1 − (A total)/53 = 1 − 17/53 = 36/53.

5) For “The United States of America”:
Total letters = 3 + 6 + 6 + 2 + 7 = 24. Number of A's = 3 (States: 1, America: 2).
a) P(choose an A) = 3/24 = 1/8.