Probability - Multiplication Rule

A key ring has 12 keys, 3 of which open the house door. If two keys are randomly selected without replacement, what is the probability that neither key opens the door?

• $\frac{1}{22}$

• $\frac{6}{11}$

• $\frac{9}{16}$

• $\frac{21}{22}$

Tags

CCSS.HSS.CP.B.9

There are 9 movies showing at a theater. Two are action movies, two are children’s movies, and the other movies are comedies. Ashley randomly selects 2 different movies to see. What is the probability that the first movie is an action movie and the second movie is a comedy?

• $\frac{1}{18}$

• $\frac{10}{81}$

• $\frac{5}{36}$

• $\frac{7}{9}$

Tags

CCSS.HSS.CP.B.8

CCSS.HSS.CP.B.9

CCSS.HSS.CP.A.1

You pick two marbles from the bag. What is the probability you don't pick any blues?

• 56/90
• 64/100
• 4/100
• 2/90

Tags

CCSS.HSS.CP.B.8

CCSS.HSS.CP.B.9

CCSS.HSS.CP.A.1

A store has 20 boxes of cereal A and 10 boxes of cereal B. One box of each kind of cereal has a prize. If one box of each kind is randomly selected, what is the probability that neither box has a prize?

• $\frac{1}{200}$

• $\frac{29}{200}$

• $\frac{171}{200}$

• $\frac{199}{200}$

Tags

CCSS.HSS.CP.B.8

CCSS.HSS.CP.A.1

Anna has a bag of marbles for her little sister. It contains 12 red marbles, 6 white marbles, and 2 blue marbles. She drops the bag and three marbles roll out. What is the probability that all 3 marbles are white?

• $\frac{1}{120}$

• $\frac{1}{57}$

• $\frac{15}{343}$

• $\frac{3}{20}$

Tags

CCSS.HSS.CP.B.8

CCSS.HSS.CP.B.9

CCSS.HSS.CP.B.7

A bag contains 20 marbles: 5 blue, 8 green and 7 orange.

Now suppose we choose 3 marbles, returning the previous marble to the bag before choosing the next marble.

Each selection is considered ____________.

• Dependent

• Independent

Tags

CCSS.HSS.CP.A.5

Bag: 20 marbles, 5 blue

What is the probability of drawing three marbles with replacement and all three being blue? (Use a calculator. Round to four decimal places if needed.)

• 0.75

• 0.25

• 0.0156

• 0.0088

A bag contains 20 marbles: 5 blue, 8 green and 7 orange.

Now suppose we choose 3 marbles, WITHOUT returning the previous marble to the bag before choosing the next marble.

Each selection is considered ____________.

• Dependent

• Independent

Tags

CCSS.HSS.CP.A.5

Bag: 20 marbles, 5 blue

We draw the first marble and get a blue. We do not return it to the bag. What is the probability of the second marble being blue?

• 4/19

• 5/20

• 4/20

• 5/19

Tags

CCSS.HSS.CP.B.6

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. 
What is P(purple then black)?

• 1/18
• 2/5
• 3/7
• 4/9

Tags

CCSS.HSS.CP.B.8

CCSS.HSS.CP.A.3

CCSS.HSS.CP.B.6