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?

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.

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

the simplified form is

step-by-step explanation:

we want to simplify the expression,

let us change the middle bar to a normal division sign to obtain,

we multiply the first fraction by the reciprocal of the second fraction to obtain,

we factor to obtain,

we cancel the common factors to get,

we simplify to get,

the correct answer is b