Free Printable Probability

1.

What is the probability that you choose blue? *simplify

5 green

6 yellow

8 blue

7 brown

a)

8/26

b)

4/13

c)

8/25

d)

1/3

2.

What is the probability of spinning a 2 on the spinner?

a)

1/2

b)

1/3

c)

1/8

d)

1/4

3.

What is the probability the spinner stops on yellow?

a)

.05

b)

50%

c)

25%

d)

3/8

4.

A die is rolled. What is the probability that the result is less than 3 ?

a)

1/2

b)

1/3

c)

1/4

d)

1/6

5.

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 both keys don't open the door?

a)

$\frac{1}{22}$

b)

$\frac{6}{11}$

c)

$\frac{9}{16}$

d)

$\frac{21}{22}$

6.

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?

a)

$\frac{1}{18}$

b)

$\frac{10}{81}$

c)

$\frac{5}{36}$

d)

$\frac{7}{9}$

7.

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)

$\frac{8}{15}$

8.

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?

a)

$\frac{1}{60}$

b)

$\frac{5}{144}$

c)

$\frac{5}{12}$

d)

$\frac{47}{60}$

9.

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)

$\frac{5}{21}$

10.

Nick randomly selects a digit from the set {0, 1, 2, ..., 9} and a letter from the set {A, B, C, ..., Z}. Matthew will try to guess both the digit and the letter. Which expression gives the probability that Matthew will incorrectly guess both the digit and the letter?

a)

$\frac{1}{10}+\frac{1}{26}$

b)

$\frac{1}{10}\times\frac{1}{26}$

c)

$\frac{9}{10}+\frac{25}{26}$

d)

$\frac{9}{10}\times\frac{25}{26}$

11.

The numbers 7 through 14 are written on eight cards and placed in a box. Two cards are drawn without replacement. What is the probability the 10 is drawn first, followed by the 8?

a)

$\frac{1}{4}$

b)

$\frac{2}{7}$

c)

$\frac{1}{42}$

d)

$\frac{1}{56}$

12.

If you are picking a card randomly from a deck of cards, the events of picking a jack and picking a heart are mutually exclusive.

a)

True

b)

False

13.

If you are picking a card randomly from a deck of cards, the events of picking an ace and picking a ‘3’ are mutually exclusive.

a)

True

b)

False

14.

If you are picking a card randomly from a deck of cards, the events of picking a spade and picking a diamond are mutually exclusive.

a)

True

b)

False

15.

When rolling a single die, the events of rolling an even number and rolling a ‘5’ are mutually exclusive.

a)

True

b)

False

16.

When rolling a single die, the events of rolling an even and an odd number are mutually exclusive.

a)

True

b)

False

17.

If you draw one card from a standard deck, what is the probability of drawing a 5 or a diamond?

a)

2/52

b)

4/52

c)

16/52

d)

26/52

18.

If you draw one card from a standard deck, what is the probability of drawing a spade or a red card?

a)

13/52

b)

26/52

c)

39/52

d)

Not possible

19.

If you roll one die, what is the probability of getting an odd number or a 4?

a)

2/3

b)

1/3

c)

1/2

d)

1/6

20.

The enrollment at Southburg High School is 1400. Suppose 550 students take French, 700 take algebra, and 400 take both French and algebra. What is the probability that a student selected randomly takes French or algebra?

a)

1250/1400

b)

700/1400

c)

550/1400

d)

17/28

21.

A bag contains some red-colored and some blue-colored marbles. First a red-colored marble is drawn and then, without replacing the first marble, a blue-colored marble is drawn. Are the two events dependent or independent?

a)

Independent

b)

Dependent

22.

Two marbles are drawn from a container in such a way that the first marble drawn is replaced before selecting the second marble. Does the outcome of the first draw affect the outcome of the second?

a)

Yes

b)

No

23.

Is the event INDEPENDENT or DEPENDENT?
The spinner is spun twice. What is the probability that it lands on red first and then blue?

a)

Independent

b)

Dependent

24.

Evaluate

a)

A

b)

B

c)

C

d)

D

25.

Evaluate

a)

A

b)

B

c)

C

d)

D

26.

Evaluate

a)

A

b)

B

c)

C

d)

D

27.

Evaluate

a)

A

b)

B

c)

C

d)

D

28.

Evaluate

a)

A

b)

B

c)

C

d)

D

29.

Evaluate

a)

A

b)

B

c)

C

d)

D

30.

Evaluate

a)

A

b)

B

c)

C

d)

D

31.

Evaluate

a)

A

b)

B

c)

C

d)

D

32.

Evaluate

a)

A

b)

B

c)

C

d)

D

33.

Evaluate

a)

A

b)

B

c)

C

d)

D

34.

Choosing 3 toppings for your sundae out of a list of 15.

a)

Permutation

b)

Combination

c)

Neither

35.

Determine whether the following scenarios are a permutation or a combination:

Selecting a lead and an understudy for a school play.

a)

Combination

b)

Permutation

36.

The number of dinosaur models that a museum needs to make from 4 types of dinosaurs and 2 colors.

a)

Permutation

b)

Combination

c)

Neither

37.

How many ways can a club select a president, vice president, and a secretary from a group of 5 people?

a)

12

b)

60

c)

15

d)

125

38.

At the middle school, a student takes 4 core classes a day. There are 6 different core classes offered. How many different combinations of classes are there?

a)

24

b)

15

c)

720

d)

360

39.

How many outfits are possible with 5 pairs of jeans, 8 t-shirts, and 2 pairs of shoes?

a)

15

b)

40

c)

80

d)

10

40.

In Cornville, bicycle license plates have 2 letters followed by a 1-digit number. How many different license plates are possible?

a)

6760

b)

62

c)

2600

d)

6084

Probability

Total questions: 40

Worksheet time: 10hrs 0mins

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