Free Printable The Multiplication Rules and Conditional Probability

1.

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?

a)

$\frac{1}{22}$

b)

$\frac{6}{11}$

c)

$\frac{9}{16}$

d)

$\frac{21}{22}$

2.

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?

a)

$\frac{3}{20}$

b)

$\frac{1}{6}$

c)

$\frac{15}{56}$

d)

$\frac{8}{15}$

3.

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”?

a)

$\frac{1}{8}$

b)

$\frac{1}{6}$

c)

$\frac{1}{4}$

d)

$\frac{3}{4}$

4.

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?

a)

$\frac{1}{200}$

b)

$\frac{29}{200}$

c)

$\frac{171}{200}$

d)

$\frac{199}{200}$

5.

Natasha wants to unlock the supply cabinet in her office. She has 10 cabinet keys and knows that only one of these keys will unlock the supply cabinet. If she randomly selects a key without replacement, which expression represents the probability that the third key selected will unlock the supply cabinet?

a)

$\left(\frac{9}{10}\right)\times\left(\frac{8}{9}\right)\times\left(\frac{1}{8}\right)$

b)

$\left(\frac{9}{10}\right)\times\left(\frac{8}{9}\right)\times\left(\frac{7}{8}\right)$

c)

$\left(\frac{9}{10}\right)\times\left(\frac{8}{9}\right)\times\left(\frac{1}{10}\right)$

d)

$\left(\frac{9}{10}\right)\times\left(\frac{8}{9}\right)\times\left(\frac{7}{10}\right)$

6.

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?

a)

$\frac{1}{5}$

b)

$\frac{3}{14}$

c)

$\frac{2}{9}$

d)

$\frac{5}{21}$

7.

Two spinners are each divided into equal sections, as shown above. Each spinner is spun once. What is the probability that the spinners will land on 2 numbers with a sum of 3.5?

a)

$\frac{1}{24}$

b)

$\frac{1}{10}$

c)

$\frac{5}{12}$

d)

$\frac{1}{2}$

8.

What is the probability of choosing a Honda?

a)

.5970

b)

.5373

c)

.4627

d)

.4030

9.

What is the probability that a student does play a sport given they do not play an instrument?

a)

.2

b)

.2222

c)

.10

d)

.5

10.

What is the probability that the person picked will be a boy given they speak german?

a)

.7273

b)

.4

c)

.16

d)

.22

The Multiplication Rules and Conditional Probability

Total questions: 10

Worksheet time: 5mins

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