Probability of Dependent Events

In a bag, there are 4 red balls and 3 green balls. If one ball is drawn at random and not replaced, what is the probability of drawing a red ball followed by a green ball?

• 3/7

• 1/4

• 2/7

• 5/7

Tags

CCSS.HSS.CP.B.8

A box contains 5 blue pens and 4 black pens. If 2 pens are drawn at random without replacement, what is the probability that both pens are black?

• 4/9

• 2/9

• 3/18

• 1/9

Tags

CCSS.HSS.CP.B.8

CCSS.HSS.CP.B.6

CCSS.HSS.CP.B.9

CCSS.HSS.CP.A.3

A jar contains 6 red marbles and 5 blue marbles. If 2 marbles are drawn at random with replacement, what is the probability of drawing a red marble and then a blue marble?

• 0.3273

• 0.5321

• 0.2479

• 0.6546

Tags

CCSS.HSS.CP.B.8

CCSS.HSS.CP.A.1

CCSS.HSS.CP.A.2

In a deck of 52 cards, 4 cards are drawn at random without replacement. What is the probability of drawing a heart, then a diamond, then a club, and then a spade?

• 1/52

• 1/13

• 1/4

• 0

Tags

CCSS.HSS.CP.B.8

CCSS.HSS.CP.B.6

CCSS.HSS.CP.B.9

CCSS.HSS.CP.A.3

A bag contains 8 white balls and 6 black balls. If 3 balls are drawn at random without replacement, what is the probability of drawing 2 white balls and then a black ball?

• 0.75

• 0.3125

• 0.1538

• 0.625

Tags

CCSS.HSS.CP.B.8

CCSS.HSS.CP.B.6

CCSS.HSS.CP.B.9

CCSS.HSS.CP.A.3

A box contains 7 red socks and 5 blue socks. If 2 socks are drawn at random without replacement, what is the probability of drawing a red sock followed by a blue sock?

• 1.0

• 0.75

• 0.2652

• 0.4213

Tags

CCSS.HSS.CP.B.8

CCSS.HSS.CP.B.6

CCSS.HSS.CP.A.3

In a jar, there are 3 red marbles and 2 green marbles. If 2 marbles are drawn at random and not replaced, what is the probability of drawing a red marble and then another red marble?

• 3/10

• 4/5

• 2/5

• 1/5

Tags

CCSS.HSS.CP.B.8

CCSS.HSS.CP.B.6

CCSS.HSS.CP.B.9

A bag contains 5 yellow candies and 4 orange candies. If 2 candies are drawn at random without replacement, what is the probability of drawing an orange candy followed by a yellow candy?

• 2/9

• 4/9

• 1/9

• 5/18

Tags

CCSS.HSS.CP.B.8

CCSS.HSS.CP.B.6

CCSS.HSS.CP.B.9

CCSS.HSS.CP.A.3

In a deck of 52 cards, 3 cards are drawn at random without replacement. What is the probability of drawing a king, then a queen, and then a jack?

• 8/16575

• 8/3125

• 1/625

• 1/156

Tags

CCSS.HSS.CP.B.8

CCSS.HSS.CP.B.9

A box contains 6 white balls and 4 black balls. If 2 balls are drawn at random without replacement, what is the probability of drawing a black ball followed by a white ball?

• 0.10

• 0.27

• 0.60

• 0.40

Tags

CCSS.HSS.CP.B.8

CCSS.HSS.CP.B.6

CCSS.HSS.CP.B.9

CCSS.HSS.CP.A.3