Free Printable Topic 12: Practice Test

1.

Find the geometric probability of a marble falling on the shaded region of the figure.

a)

15.3%

b)

24.5%

c)

26.9%

d)

21.5%

2.

What is the probability of hitting the blue part of the target?

a)

32%

b)

36%

c)

45%

d)

50%

3.

The rectangular yard shown has a circular pool and a triangular garden. A ball from an adjacent golf course lands at a random point within the yard. Find the probability that the ball will land in the garden.

a)

0.48%

b)

4.8%

c)

0.96%

d)

9.6%

4.

The following boxes of honey oats and pasta are dumped into a large bowl. Assuming that the pieces of pasta and cereal are the same size, what is the probability selecting a piece of pasta from the bowl?

a)

42.9%

b)

45.3%

c)

57.1%

d)

75.3%

5.

A rectangular swimming pool is 25 meters long and 10 meters wide. A deck of 2 meters width surrounds the pool. What is the probability that a person randomly walking in the area is on the deck?

a)

61.6%

b)

38.4%

c)

77.2%

d)

22.8%

6.

A bag contains 4 white balls and 6 black balls. What is the probability of picking a white ball?

a)

40%

b)

60%

c)

50%

d)

80%

7.

What is the probability of drawing an ace from a standard deck of 52 cards?

a)

$\frac{1}{13}$

b)

$\frac{1}{4}$

c)

$\frac{1}{52}$

d)

$\frac{1}{26}$

8.

If a single card is drawn from a deck, what is the probability of drawing a queen or a king?

a)

$\frac{1}{13}$

b)

$\frac{1}{26}$

c)

$\frac{2}{13}$

d)

$\frac{1}{52}$

9.

A jar contains 10 red marbles, 15 blue marbles, and 5 green marbles. What is the probability of drawing a red marble?

a)

$\frac{1}{3}$

b)

$\frac{1}{2}$

c)

$\frac{1}{4}$

d)

$\frac{1}{5}$

10.

What is the probability of spinning red?

a)

0%

b)

41.7%

c)

50%

d)

75%

11.

The two-way table above gives information about the grades for the semester in Mrs. Hardcase’s English class.

1) What is the probability a randomly selected student got an A or B for the semester?

a)

15/100

b)

20/100

c)

35/100

d)

65/100

12.

The two-way table above gives information about the grades for the semester in Mrs. Hardcase’s English class.

Calculate the following probability, P(female | A).

a)

8/20

b)

8/100

c)

8/44

d)

20/100

13.

The make-up of employees at a police station is shown in the table above:

6) What is the probability that a randomly selected employee is a chief?

a)

1/100

b)

2/100

c)

1/33

d)

1/67

14.

The make-up of employees at a police station is shown in the table above:

9) Given the employee is a female, what is the probability of the employee being a chief?

a)

1/2

b)

1/33

c)

1/67

d)

1/100

15.

Chelsea surveyed a sample of students in the senior class to determine the distribution of students with a driver’s license.

12) What is the probability a randomly selected student is female and can drive?

a)

15/60

b)

48/60

c)

33/120

d)

48/120

16.

In a bag of 5 red and 3 blue marbles, if you draw one marble and do not replace it, what is the probability of drawing a red marble first and a blue marble second?

a)

$\frac{3}{8}$

b)

$\frac{5}{16}$

c)

$\frac{15}{56}$

d)

$\frac{5}{28}$

17.

If you have a deck of 52 cards and draw two cards without replacement, what is the probability that both cards are aces?

a)

$\frac{1}{221}$

b)

$\frac{1}{169}$

c)

$\frac{1}{1326}$

d)

$\frac{1}{52}$

18.

A jar contains 8 red and 4 white balls. If the balls are drawn one after the other without replacement, what is the probability that a white ball is drawn 3 times in a row?

a)

$\frac{1}{27}$

b)

$\frac{1}{72}$

c)

$\frac{1}{3}$

d)

$\frac{1}{55}$

19.

A box contains 6 red, 4 blue, and 2 yellow balls. If two balls are drawn without replacement, what is the probability that the first ball is yellow and the second ball is red?

a)

$\frac{1}{11}$

b)

$\frac{1}{15}$

c)

$\frac{1}{30}$

d)

$\frac{1}{20}$

20.

If you have a deck of 52 cards and draw two cards with replacement, what is the probability that the first card is a king and the second card is a queen?

a)

$\frac{1}{221}$

b)

$\frac{1}{169}$

c)

$\frac{1}{1326}$

d)

$\frac{1}{204}$

21.

Which of the following shows how to determine P(diamond or face card)?

a)

13/52 + 12/52 - 3/52

b)

3/52 + 13/52 -12/52

c)

3/52 + 12/52 - 13/52

d)

1/13 + 3/52 - 1/4

22.

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

23.

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

24.

Which of the following shows how to determine P(football or basketball)?

a)

55/233 + 5/233 - 20/233

b)

55/80 + 5/80 - 20/80

c)

75/233+25/233-20/233

d)

75/100 + 25/100 - 20/100

25.

What is the probability of selecting a senior that plays football or wrestles.

a)

27.3%

b)

33.6%

c)

6.3%

d)

8.6%

26.

How many students ski and snowboard?

a)

21

b)

11

c)

28

d)

29

27.

How many students do not snowboard?

a)

21

b)

22

c)

28

d)

29

28.

Identify the shaded area...

a)

A∩B

b)

A∪B

c)

A'∩B'

d)

A'∪B'

29.

Given the Venn diagram, what numbers are in the set of $C\cap D$ ?

a)

{5, 9}

b)

{1, 4, 5, 6, 9}

c)

{1, 4, 5, 5, 6, 9, 9}

d)

{1, 4, 5, 9}

30.

Given the following Venn diagram, let blue represent the students taking drama (D) and green represent the students taking math (M).

How many students are in (D ⋃ M)?

a)

5

b)

7

c)

2

d)

4

31.

A jar contains 7 red marbles and 5 blue marbles. If two marbles are drawn with replacement, what is the probability that both are red?

a)

$\frac{49}{144}$

b)

$\frac{7}{12}$

c)

$\frac{25}{144}$

d)

$\frac{1}{2}$

32.

The question “Do you play soccer?” was asked of 110 students. Results are shown in the table.

Calculate the following probability, P (male | doesn't play soccer).

a)

33/56

b)

23/56

c)

33/75

d)

23/35

33.

Find the probability.

a)

$\frac{3}{13}$

b)

$\frac{1}{2}$

c)

$\frac{5}{13}$

d)

$\frac{1}{3}$

34.

What is the probability that a student chosen randomly from the class is a student who slept 6 hours or less who does not have an A?

a)

11/30

b)

11/21

c)

13/30

d)

13/21

35.

What is the probability that a student is a female given that they have an A?

a)

5/11

b)

5/13

c)

5/26

d)

13/26

Topic 12: Practice Test

Total questions: 35

Worksheet time: 1hrs 20mins

Similar Resources on Wayground