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

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

Is the event INDEPENDENT or DEPENDENT?
Amy plays card games.  She picks a card at random.  Then without putting the first card back, he picks a second card at random.

• Independent
• Dependent

Tags

CCSS.HSS.CP.A.2

CCSS.HSS.CP.A.3

CCSS.HSS.CP.A.5

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

What is the probability of tossing a coin four times and getting tails each time?

• 1/16
• 1/8
• 1/2
• 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

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

A marble bag contains 3 red marbles, 4 gray marbles, 6 white marbles, and 5 black marbles. What is the probability of randomly drawing a red marble and then a gray marble if the first marble is replaced?

• 1/9
• 1/27
• 1/6
• 2/9

Tags

CCSS.HSS.CP.A.1

CCSS.HSS.CP.A.2

CCSS.HSS.CP.B.8

A jar contains 4 white chips, 5 purple chips, and 1 black chip. Chips are selected randomly one at a time, and are not replaced. P(purple then black)

• 1/18
• 2/5
• 3/7
• 4/9

Tags

CCSS.HSS.CP.A.3

CCSS.HSS.CP.B.6

CCSS.HSS.CP.B.8