Independent and 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.8

CCSS.HSS.CP.B.6

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

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.A.3

CCSS.HSS.CP.B.8

CCSS.HSS.CP.B.6

CCSS.HSS.CP.B.9

There are 2 violet balls and 4 pink balls in a bag. If two balls are drawn one after the other, then what is the probability of getting violet first and pink next, if the first ball drawn is replaced?

• 1/3
• 2/9
• 1/6
• 1/4

Tags

CCSS.HSS.CP.A.2

CCSS.HSS.CP.B.8

There are 5 red roses, 3 yellow roses, and 8 white roses in a tray. If Stephanie picked 2 roses one after the other without replacing, then what is the probability of picking a white rose first and a red rose next?

• 1/6
• 5/6
• 1/3
• 2/3

Tags

CCSS.HSS.CP.A.3

CCSS.HSS.CP.B.8

CCSS.HSS.CP.B.6

CCSS.HSS.CP.B.9

Two fair coins are tossed. What is the probability of getting at most one head? (Hint: Create a sample space)

• 1/2
• 3/4
• 1/4
• 1

Tags

CCSS.HSS.CP.A.1

Two cards are drawn from a deck of 52 cards. What is the probability that the first card drawn is a king and the second card drawn is a heart, given that the first card is replaced?

• 2/52
• 1
• 13/52
• 1/52

Tags

CCSS.HSS.CP.A.2

CCSS.HSS.CP.A.3

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

There are 10 pens and 15 pencils in a box. If a student selects two of them at random, then what is the probability of selecting a pen and then a pencil?

• 7/12
• 1/2
• 1/4
• 11/12

Tags

CCSS.HSS.CP.A.2

CCSS.HSS.CP.A.3

CCSS.HSS.CP.B.8

CCSS.HSS.CP.B.6

CCSS.HSS.CP.B.9

When an item is not replaced, or choosing effects what you can pick next is known as...

• independent
• dependent

Tags

CCSS.HSS.CP.A.2

CCSS.HSS.CP.A.3

CCSS.HSS.CP.B.6

CCSS.HSS.CP.A.5

CCSS.HSS.CP.A.4