Probability - Multiplication Rule

A key ring has 12 keys, 3 of which open the house door. If two keys are randomly selected, one right after the other, what is the probability that neither key opens the door?

• 4.5%

• 54.5%

• 56.3%

• 95.4%

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.A.1

CCSS.HSS.CP.B.8

CCSS.HSS.CP.B.9

Sonia has 5 yellow hair clips, 2 red hair clips, and 3 blue hair clips in her purse. What is the probability that she will randomly select one yellow hair clip and one blue hair clip without replacement?

• $\frac{3}{20}$

• $\frac{1}{6}$

• $\frac{15}{56}$

• $\frac{8}{15}$

Tags

CCSS.HSS.CP.B.8

CCSS.HSS.CP.B.9

An experiment consists of spinning a spinner and flipping a fair coin. The spinner consists of 4 colored sections of equal size.

• Red

• Blue

• Green

• Yellow

If the arrow on the spinner is spun one time and the coin flipped one time, what is the probability of getting the outcome “Blue, Tails”?

• 0.125

• 0.167

• 0.25

• 0.75

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?

• 0.5%

• 14.5%

• 85.5%

• 99.5%

A bag contains 5 red marbles, 4 blue marbles, and 3 green marbles. Joshua will select a marble at random, record its color, and then put the marble back in the bag. He will select three marbles in this way. What is the probability that Joshua will first get a red marble, then a blue marble, and then a green marble?

• .017

• .035

• .417

• .783

A stack of magazines has 5 news magazines and 10 sports magazines. Two magazines are drawn at random without replacement. What is the probability of selecting a news magazine first and then a sports magazine?

• $\frac{1}{5}$

• $\frac{3}{14}$

• $\frac{2}{9}$

• $\frac{5}{21}$

Tags

CCSS.HSS.CP.A.1

CCSS.HSS.CP.A.3

CCSS.HSS.CP.B.6

CCSS.HSS.CP.B.8

A box of stickers contains 25 gold stars, 75 red stars, and 50 blue stars, all of the same size. In two random selections, what is the probability of selecting a blue star, replacing it, and then selecting a blue star again?

• 11%

• 17%

• 25%

• 67%

Brent has a shopping bag with 8 similar size containers of yogurt: 2 strawberry, 3 cherry, and 3 raspberry. If he randomly takes 2 yogurt containers from the bag WITHOUT REPLACEMENT, what is the probability he gets cherry and raspberry.

• $\frac{1}{28}$

• $\frac{13}{28}$

•  $\frac{9}{56}$ 

• $\frac{27}{28}$

Nick randomly selects a digit from 1 to 5 and a letter from A to Z.  Matthew will try to guess both the digit and the letter. What is the probability he guess BOTH CORRECTLY?

•  $\frac{1}{5}$ 

•  $\frac{1}{26}$ 

•  $\frac{31}{130}$ 

•  $\frac{1}{130}$