Independent versus Dependent Probability

A bag contains 5 striped cubes, 3 dotted cubes, 4 white cubes and 3 red cubes. What is the probability of drawing a red cube, replacing it, and then drawing a white cube?

• independent

• dependent

Tags

CCSS.7.SP.C.5

CCSS.7.SP.C.7

CCSS.7.SP.C.8

A bag contains 2 striped cubes, 3 dotted cubes, 4 white cubes and 3 red cubes. What is the probability of drawing a white cube, not replacing it, and then drawing a dotted cube?

• dependent

• independent

Tags

CCSS.7.SP.C.5

CCSS.7.SP.C.7

CCSS.7.SP.C.8

A pocket contains 3 pennies, 2 nickels, 3 quarters and 4 dimes. What is the probability of randomly choosing a quarter two times in a row if the first coin drawn is not replaced?

• dependent

• independent

Tags

CCSS.7.SP.C.5

CCSS.7.SP.C.7

CCSS.7.SP.C.8

Jaylan has a fun-size bag of SweetTarts™. Inside the bag are 4 pink, 1 blue, 2 yellow, 3 purple and 2 green SweetTarts™. What is the probability of drawing a yellow SweetTart™ three times in a row if each SweetTart™ selected is eaten before the next SweetTart™ is drawn?

• dependent

• independent

Tags

CCSS.7.SP.C.5

CCSS.7.SP.C.7

CCSS.7.SP.C.8

Ricardo has the spinner pictured here and a bag of marbles filled with 2 red marbles, 3 green marbles, and 3 blue marbles. What is the probability that Ricardo spins red on the spinner and picks a red marble out of the bag?

• 1 ⁄ 16
• 1 ⁄ 2
• 1 ⁄ 4
• 1 ⁄ 8

Tags

CCSS.7.SP.C.5

CCSS.7.SP.C.8

What is the probability of rolling a dice and landing on a 4, and then rolling the dice again and landing on any even number?

• 1 ⁄ 6
• 1 ⁄ 8
• 1 ⁄ 2
• 1 ⁄ 12

Tags

CCSS.7.SP.C.5

CCSS.7.SP.C.7

CCSS.7.SP.C.8

Is the event INDEPENDENT or DEPENDENT?
The spinner is spun twice.  What is the probability that it lands on red first and then blue?

• Independent
• Dependent

Tags

CCSS.7.SP.C.5

CCSS.7.SP.C.8

Which event is not a dependent event?

• Picking 2 students to be the line leader and the door holder from a group of 20 students

• Picking 2 marbles from a bag without replacing the first marble

• Picking 2 crayons from a box without putting any back

• Picking an earring, replacing it, then picking a 2nd earring

Tags

CCSS.7.SP.C.5

CCSS.7.SP.C.7

CCSS.7.SP.C.8

Suppose two tiles are drawn from the collection shown. The first tile is  not replaced before the second tile is drawn. Find P(A and A)

• 4/225
• 1/105
• 3/71

Tags

CCSS.7.SP.C.5

CCSS.7.SP.C.7

CCSS.7.SP.C.8

A jar contains 4 white chips, 5 purple chips, and 1 black chip. Chips are selected randomly one at a time, and are not replaced.
P(white, then purple, then black)

• 1/36
• 2/39
• 5/41
• 6/43

Tags

CCSS.7.SP.C.5

CCSS.7.SP.C.7

CCSS.7.SP.C.8