Independent & Dependent Probability

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.7.SP.C.5

If two events are dependent, then the first event does NOT affect the second event.

• True
• False

Tags

CCSS.HSS.CP.A.5

Two events such that the occurrence of one event does not affect the likelihood that the other event(s) will occur

• dependent events
• independent events
• experiment
• event

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.7.SP.C.5

CCSS.7.SP.C.7

CCSS.7.SP.C.8

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.7.SP.C.5

CCSS.7.SP.C.7

CCSS.7.SP.C.8

A basket contains 5 purple pencils and 9 brown pencils. If two pencils are picked at random one after the other without replacement, then what is the probability that both the pencils are purple?

• 9/182
• 5/182
• 2/91
• 10/91

Tags

CCSS.7.SP.C.5

CCSS.7.SP.C.7

CCSS.7.SP.C.8

A box contains 5 purple marbles, 3 green marbles and 2 orange marbles. Draws are made without replacement. What is the probability of two purples?

• 2/9

• 1/3

• 1/2

• 1/4

A jar contains 2 green marbles, 4 blue marbles, 3 yellow marbles, and 2 black marbles. A marble is chosen at random from the jar and replaced. Then a second marble is chosen at random. Find the probability of the first marble being green and the second marble being yellow. 

• 4/121
• 8/121
• 3/121
• 6/121

Tags

CCSS.7.SP.C.5

CCSS.7.SP.C.7

CCSS.7.SP.C.8

Bag A contains 9 red marbles and 3 green marbles. Bag B contains 9 black marbles and 6 orange marbles. Find the probability of selecting one green marble from bag A and one black marble from bag B.

• 3/20
• 1/4
• 3/31
• 2/27

Tags

CCSS.7.SP.C.5

CCSS.7.SP.C.7

CCSS.7.SP.C.8

Nathan spins the spinner below two times. What is the probability Nathan will spin red on the first spin and blue on the second spin?

• 9/64

• 9/25

• 3/8

• 1/4

Tags

CCSS.7.SP.C.5

CCSS.7.SP.C.8