Independent vs. Dependent Events

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

Tags

CCSS.HSS.CP.A.2

CCSS.HSS.CP.A.3

CCSS.HSS.CP.B.6

CCSS.HSS.CP.B.8

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. Are these events independent or dependent?

• Independent

• Dependent

Tags

CCSS.HSS.CP.A.5

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?

Are these events independent or dependent?

• Independent

• Dependent

Tags

CCSS.HSS.CP.A.5

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?

Are these events independent or dependent?

• Independent

• Dependent

Tags

CCSS.HSS.CP.A.5

In a bag containing 15 billiard balls of three colors - red, yellow and white, Frank picks a ball at random, notes down the color and replaces it. He repeats this experiment 25 times and the results are shown in the table.

Are these events independent or dependent?

• Independent

• Dependent

Tags

CCSS.HSS.CP.A.5

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?

Are these events independent or dependent?

• Independent

• Dependent

Tags

CCSS.HSS.CP.A.5

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?

Are these events independent or dependent?

• Independent

• Dependent

Tags

CCSS.HSS.CP.A.2

CCSS.HSS.CP.A.3

CCSS.HSS.CP.B.6

CCSS.HSS.CP.B.8

Two fair coins are tossed. What is the probability of getting at most one head? (Hint: Create a sample space)

Are these events independent or dependent?

• Independent

• Dependent

Two cards are drawn from a deck of 52 cards. What is the probability that the first card drawn is a king and the second card drawn is a heart, given that the first card is replaced?

Are these events independent or dependent?

• Independent

• Dependent

Tags

CCSS.HSS.CP.A.5