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

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”?

• $\frac{1}{8}$

• $\frac{1}{6}$

• $\frac{1}{4}$

• $\frac{3}{4}$

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 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.B.8

CCSS.HSS.CP.B.9

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?

• $\frac{1}{9}$

• $\frac{1}{6}$

• $\frac{1}{4}$

• $\frac{2}{3}$

Tags

CCSS.HSS.CP.B.8

CCSS.HSS.CP.A.2

CCSS.HSS.CP.A.1

In her book bag, Jackie has one red pencil, one yellow pencil, one blue pencil, one green pencil, one orange pencil, and one purple pencil. She also has one red pen, one blue pen, and one black pen. If Jackie randomly selects one pencil and one pen, what is the probability that she will select a purple pencil and a black pen?

• $\frac{1}{72}$

• $\frac{1}{18}$

• $\frac{1}{10}$

• $\frac{1}{2}$

Tags

CCSS.HSS.CP.B.8

CCSS.HSS.CP.B.9

The spinner below is divided into 4 equal parts. It is spun once, and the coin is flipped once. What is the probability of obtaining red on the spinner followed by heads on the coin?

• $\frac{1}{8}$

• $\frac{1}{4}$

• $\frac{3}{4}$

• $\frac{7}{8}$

Tags

CCSS.HSS.CP.B.8

CCSS.HSS.CP.A.2

CCSS.HSS.CP.A.1

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 that neither will be strawberry yogurt?

• $\frac{1}{28}$

• $\frac{13}{28}$

• $\frac{15}{28}$

• $\frac{27}{28}$

Tags

CCSS.HSS.CP.B.9

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