10.5 Independent and Dependent Probability

Ricardo has the spinner pictured here and a bag of marbles filled with 2 red marbles, 3 green marbles, and 3 blue marbles. What is the probability that Ricardo spins red on the spinner and picks a red marble out of the bag?

• 1 ⁄ 16
• 1 ⁄ 2
• 1 ⁄ 4
• 1 ⁄ 8

Tags

CCSS.HSS.CP.A.2

CCSS.HSS.CP.A.3

CCSS.HSS.CP.B.8

What is the probability of rolling a dice and landing on a 4, and then rolling the dice again and landing on any even number?

• 1 ⁄ 6
• 1 ⁄ 8
• 1 ⁄ 2
• 1 ⁄ 12

Tags

CCSS.HSS.CP.A.1

CCSS.HSS.CP.A.2

CCSS.HSS.CP.B.8

Is the event INDEPENDENT or DEPENDENT?
You have a jar with 24 pieces of chocolate candy and 14 pieces of orange candy.  We take one piece of candy at random from the jar, put it back, and then take a second piece of candy at random from the jar.

• Independent
• Dependent

Tags

CCSS.HSS.CP.A.2

CCSS.HSS.CP.A.3

CCSS.HSS.CP.A.4

CCSS.HSS.CP.B.6

CCSS.HSS.CP.B.8

Is the event INDEPENDENT or DEPENDENT?

Amy plays card games. She picks a card at random. Then without putting the first card back, she picks a second card at random.

• Independent

• Dependent

Tags

CCSS.HSS.CP.A.2

CCSS.HSS.CP.A.3

CCSS.HSS.CP.B.6

CCSS.HSS.CP.B.8

Is the event INDEPENDENT or DEPENDENT?
The spinner is spun twice.  What is the probability that it lands on red first and then blue?

• Independent
• Dependent

Tags

CCSS.HSS.CP.A.2

CCSS.HSS.CP.A.3

CCSS.HSS.CP.B.8

Suppose two tiles are drawn from the collection shown. The first tile is  not replaced before the second tile is drawn. Find P(A and A)

• 4/225
• 1/105
• 3/71

Tags

CCSS.HSS.CP.A.1

CCSS.HSS.CP.A.3

CCSS.HSS.CP.B.6

CCSS.HSS.CP.B.8

CCSS.HSS.CP.B.9

A bag has 2 yellow marbles and 8 brown marbles. Nancy takes out two marbles without replacing the marbles. What is the probability that they will both be yellow?

• 2/19

• 1/10

• 1/25

• 1/45

Tags

CCSS.HSS.CP.A.3

CCSS.HSS.CP.B.6

CCSS.HSS.CP.B.8

CCSS.HSS.CP.B.9

Suppose a number cube is rolled twice. What is the probability that an odd number will show both times?

• 1/3
• 1/2
• 1/6
• 1/4

Tags

CCSS.HSS.CP.A.1

CCSS.HSS.CP.A.2

CCSS.HSS.CP.B.8

A coin is tossed and a number cube is rolled. Find the probability,  P(heads and 7).

• 1/14
• 1/2
• 0
• 1/7

Tags

CCSS.HSS.CP.A.1

CCSS.HSS.CP.A.2

CCSS.HSS.CP.B.8

A number cube is rolled and a coin is tossed. What is the probability of rolling a number greater than 4 and tossing tails?

• 1/6
• 1/3
• 1/2
• 1/4

Tags

CCSS.HSS.CP.A.1

CCSS.HSS.CP.A.2

CCSS.HSS.CP.B.8