Independent vs. Dependent Probability

A box contains 5 purple marbles, 3 green marbles and 2 orange marbles. Draws are made without replacement.P(both marbles are purple)

• 2/9
• 1/3
• 1/2
• 1/4

Tags

CCSS.HSS.CP.B.8

CCSS.HSS.CP.B.9

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.HSS.CP.A.3

CCSS.HSS.CP.B.6

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

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.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.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.HSS.CP.A.2

CCSS.HSS.CP.A.3

CCSS.HSS.CP.B.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.HSS.CP.A.1

CCSS.HSS.CP.A.2

CCSS.HSS.CP.B.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.HSS.CP.A.2

CCSS.HSS.CP.A.3

CCSS.HSS.CP.A.4

CCSS.HSS.CP.B.8

What is the probability of spinning the spinner three times and having all three spins be greater than 5?

• 5.3%

• 12.5%

• 1.6%

• 4.8%

Tags

CCSS.HSS.CP.A.1

CCSS.HSS.CP.A.2

CCSS.HSS.CP.B.8

A card is randomly draw from a shuffled deck of cards and not replaced. A second card is drawn from the remaining shuffled cards. What is the approximate probability that both cards are RED?

• 49%

• 50%

• 24.5%

• 25%

Tags

CCSS.HSS.CP.A.1

CCSS.HSS.CP.A.3

CCSS.HSS.CP.B.8

CCSS.HSS.CP.B.9