Question

1. What is the probability that a randomly selected student from your group is a 9th grader?

2. What is the probability that a randomly selected student from your group prefers comedy?

3. what is the probability that a randomly selected student does NOT prefer action?

4. What is the probability that a student prefers comedy, given that the student is in 10th grade?

5. What is the probability that a student prefers comedy, given that the student is in 12th grade?

6. what is the probability that a student does not prefer action, given that the student is in the 9th grade?

7. Compare questions 4, 6, and 7. If you are given a students grade level, does that change the probability that he or she will prefer comedy?

Answer 1

1. P) 3/16

2. P) 6/16 or 3/8

3. P) 13/16 as 1- 3/16 = 13/16

4. P) 2/3

5. P) 1/5

6. P) 3/3 = 1

7. Yes as such grades do not represent the no of people shown on the table

Answer 2

Total students = 16

1. Total 9th graders = 3

Probability of being 9th grader = 3/16

2. Total that like comedy = 6

Probability = 6/16 = 3/8

3. 3 like action so 16-3 = 13 do not.

Probability = 13/16

4. 1 10th grader likes comedy out of 5 10th graders

Probability = 1/5

5. 0 out of 3 12th graders like comedy.

Probability = 0

6. 0 like action out of 3

Probability = 3/3 = 1

7. Yes the probabilities are different.