Independent & Dependent Events

The outcome of one event does affect the outcome of the other event.

• independent event

• dependent event

Tags

CCSS.HSS.CP.A.2

CCSS.HSS.CP.A.3

CCSS.HSS.CP.B.8

CCSS.HSS.CP.A.4

The outcome of one event does not affect the outcome of the other event.

• independent event

• dependent event

Tags

CCSS.HSS.CP.A.2

CCSS.HSS.CP.A.3

CCSS.HSS.CP.A.5

Clara picks a marble at random, puts it back, and then picks another marble at random.

• independent

• dependent

Tags

CCSS.HSS.CP.A.2

CCSS.HSS.CP.A.3

CCSS.HSS.CP.A.5

Pablo chooses a colored marble from a mixed bag and writes down the color. Pablo leaves it out and then draws another.

• Independent
• Dependent

Tags

CCSS.HSS.CP.A.3

CCSS.HSS.CP.A.5

CCSS.HSS.CP.B.6

CCSS.HSS.CP.A.4

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 independent or dependent?

• Independent

• Dependent

Tags

CCSS.HSS.CP.A.2

CCSS.HSS.CP.A.3

CCSS.HSS.CP.A.5

CCSS.HSS.CP.B.6

Two marbles are drawn from a container in such a way that the first marble drawn is replaced before selecting the second marble. Does the outcome of the first draw affect the outcome of the second?

• Yes
• No

Tags

CCSS.HSS.CP.A.2

CCSS.HSS.CP.A.3

There are 6 red marbles, 5 green marbles, and 4 yellow marbles in a bag. If Joe picks 2 marbles one after the other without replacement, then what is the probability that both are red in color?

• 2/5
• 1/21
• 4/25
• 1/7

Tags

CCSS.HSS.CP.A.3

CCSS.HSS.CP.B.8

CCSS.HSS.CP.B.6

CCSS.HSS.CP.B.9

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

Tags

CCSS.HSS.CP.A.3

CCSS.HSS.CP.B.8

CCSS.HSS.CP.B.6

CCSS.HSS.CP.B.9

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

Tags

CCSS.HSS.CP.B.8

CCSS.HSS.CP.B.9

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

• 1/4
• 1
• 1/8
• 1/2

Tags

CCSS.HSS.CP.A.2

CCSS.HSS.CP.B.8

CCSS.HSS.CP.A.1