Independent and Dependent Events

In the scenario where you flip a coin and then roll a fair six-sided die, what is the probability that the coin lands heads-up and the die shows a one?

• 1/4

• 1/6

• 1/12

• 1/36

Tags

CCSS.HSS.CP.A.1

CCSS.HSS.CP.A.2

CCSS.HSS.CP.B.8

In a box of chocolates containing five milk chocolates, five dark chocolates, and five white chocolates, you randomly select and eat three chocolates. The first piece is milk chocolate, the second is dark chocolate, and the third is white chocolate. What is the probability of this sequence of selections?

• 1/10

• 1/15

• 1/20

• 1/25

Tags

CCSS.HSS.CP.B.8

CCSS.HSS.CP.B.9

In the scenario where you flip a coin and then roll a fair six-sided die, what is the probability that the coin lands heads-up and the die shows an even number?

• 1/2

• 1/3

• 1/4

• 1/6

Tags

CCSS.HSS.CP.A.1

CCSS.HSS.CP.A.2

CCSS.HSS.CP.B.8

In a closet with eight shirts, four blue and four green, you randomly select one to wear on Monday and then a different one on Tuesday. If you wear blue shirts both days, what is the probability of this sequence of selections?

• 1/7

• 1/8

• 1/14

• 1/16

Tags

CCSS.HSS.CP.A.1

CCSS.HSS.CP.B.8

CCSS.HSS.CP.B.9

In a bag containing eight red marbles and four blue marbles, you randomly pick a marble and then pick a second marble without returning the marbles to the bag. The first marble is red and the second marble is blue. Are these events independent or dependent?

• Independent

• Dependent

• Cannot be determined

• Not applicable

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

In a cooler containing ten bottles of sports drink: four lemon-lime flavored, three orange flavored, and three fruit-punch flavored, you randomly grab a bottle, return the bottle to the cooler, and then mix up the bottles. The first time, you get a lemon-lime drink. The second and third times, you get fruit-punch. Are these events independent or dependent?

• Independent

• Dependent

• Cannot be determined

• Not applicable

Tags

CCSS.HSS.CP.A.2

CCSS.HSS.CP.A.3

CCSS.HSS.CP.B.8

In the scenario where you roll a fair six-sided die twice, the first roll shows a five and the second roll shows a six. What is the probability of this sequence of rolls?

• 1/6

• 1/12

• 1/18

• 1/36

Tags

CCSS.HSS.CP.A.2

CCSS.HSS.CP.B.8

In a basket containing five apples and seven peaches, you randomly select one piece of fruit and eat it. Then you randomly select another piece of fruit. The first piece of fruit is an apple and the second piece is a peach. What is the probability of this sequence of selections?

• 1/12

• 1/15

• 1/20

• 1/35

Tags

CCSS.HSS.CP.A.3

CCSS.HSS.CP.B.6

CCSS.HSS.CP.B.8

In the scenario where P(A) = 2/3 and P(B) = 5/9, are events A and B independent?

• Yes

• No

• Cannot be determined

• Not applicable

Tags

CCSS.HSS.CP.A.2

CCSS.HSS.CP.A.3

CCSS.HSS.CP.B.8

In the scenario where P(A) = 3/10 and P(B) = 2/5, what is the value of P(A and B)?

• 3/40

• 3/50

• 3/100

• 3/173

Tags

CCSS.HSS.CP.B.8