Probability: Dependent and Independent Events #2

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.5

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, then what is the probability that both are red in color?

• 2/5
• 1/21
• 4/25
• 1/7

Tags

CCSS.HSS.CP.B.8

CCSS.HSS.CP.B.9

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?

• 1/4
• 1
• 1/8
• 1/2

Tags

CCSS.HSS.CP.A.2

CCSS.HSS.CP.B.8

A box contains all the letters of the word U N D E R S T A N D. What is the probability of selecting an 'N' first and a 'D' next, if the first letter is replaced?

• 3/50
• 1/25
• 1/10
• 2/5

Tags

CCSS.HSS.CP.A.2

CCSS.HSS.CP.B.8

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

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

Ten cards numbered 1-10 are placed in a hat. What is the probability of randomly drawing a card with an even number then a card with a number greater than or equal to five if the first card is replaced?

• 1/4
• 2/3
• 3/10
• 3/5

Tags

CCSS.HSS.CP.A.1

CCSS.HSS.CP.A.2

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