Conditional Probability Practice

A bag contains some red-colored and some blue-colored marbles. First a red-colored marble is drawn and then, without replacing the first marble, a blue-colored marble is drawn. Are the two events dependent or independent?

• Independent
• Dependent

Two marbles are drawn from a container in such a way that the first marble drawn is replaced before selecting the second marble. Are the events independent or dependent?

• Independent

• Dependent

There are 2 violet balls and 4 pink balls in a bag. If two balls are drawn one after the other, then what is the probability of getting violet first and pink next, if the first ball drawn is replaced?

• 1/3
• 2/9
• 1/6
• 1/4

There are 5 red roses, 3 yellow roses, and 8 white roses in a tray. If Stephanie picked 2 roses one after the other without replacing, then what is the probability of picking a white rose first and a red rose next?

• 1/6
• 5/6
• 1/3
• 2/3

A basket contains 5 purple pencils and 9 brown pencils. If two pencils are picked at random one after the other without replacement, then what is the probability that both the pencils are purple?

• 9/182
• 5/182
• 2/91
• 10/91

What is the probability of rolling an even number on the first roll of a dice and rolling an odd number on the second roll?

• 1/4

• 1

• 1/8

• 1/2

There are 10 pens and 15 pencils in a box. If a student selects two of them at random without replacement, then what is the probability of selecting a pen and then a pencil?

• 7/12

• 1/2

• 1/4

• 11/12

What is the probability that a student does play a sport given they do not play an instrument?

• .78

• .22

• .10

• .5

Consider the following table with information about all of the students taking Statistics at Happy High School.

Find P( Male given Full Time)

• 7/3

• 3/10

• 3/7

• 4/7

Consider the following table with information about all of the students taking Statistics at Happy High School.

Find P(Part Time given Female) =

• 15/31

• 43/71

• 31/43

• 15/43