Question

6. What is the probability that a student prefers comedy, given that the student is in 10th grade? (2 points)

7. What is the probability that a student prefers comedy, given that the student is in 12th grade? (2 points)

8. What is the probability that a student does not prefer action, given that the student is in 9th grade? (2 points)

Answer 1

6. 1/8

7. 1/16

8. 3/16

Explanation:

Question 6

• P (comedy, 10th grade) = No. of 10th graders preferring comedy/Total
• P (comedy, 10th grade) = 2/16
• P (comedy, 10th grade) = 1/8

Question 7

• P (comedy, 12th grade) = No. of 12th graders preferring comedy/Total
• P (comedy, 12th grade) = 1/16

Question 8

• P (not action, 9th grade) = No. of 10th graders not preferring action/Total
• P (not action, 9th grade) = 4 - 1 / 16
• P (not action, 9th grade) = 3/16