wayground logo

Free Printable Worksheets

Font size

S
M
L
XL
Worksheets

Unit 12 Test Study Guide (Probability)

Total questions: 68

Worksheet time: 35mins

Name
Class
Date
1.

For SG Q1, what is the answer to part a?

a)

{3, 6, 9, 12, 15, 18, 21, 24, 27, 30, 33, 36}

b)

{6, 12, 18, 24, 30, 36}

c)

{18, 21, 24, 27, 30, 33, 36}

d)

{3, 9, 15, 21, 27, 33}

2.

For SG Q1, what is the answer to part b?

a)

{6, 12, 18, 24, 30, 36}

b)

{3, 9, 15, 21, 27, 33}

c)

{6, 12}

d)

{12, 18, 24, 30, 36}

3.

For SG Q1, what is the answer to part c?

a)

{18, 21, 24, 27, 30, 33, 36}

b)

{3, 6, 9, 12, 15}

c)

{21, 27, 33}

d)

{15, 18, 21, 24, 27}

4.

For SG Q1, what is the answer to part d?

a)

{3, 9, 15, 21, 27, 33}

b)

{18, 24, 30, 36}

c)

{21, 27, 33}

d)

{3, 9, 15}

5.

For SG Q1, what is the answer to part e?

a)

{3, 6, 9, 12, 15}

b)

{18, 21, 24, 27, 30, 33, 36}

c)

{6, 12, 18, 24, 30, 36}

d)

{3, 9, 15}

6.

For SG Q1, what is the answer to part f?

a)

{18, 24, 30, 36}

b)

{6, 12, 18, 24}

c)

{6, 12, 18, 21, 24, 27, 30, 33, 36}

d)

{3, 6, 9, 12}

7.

For SG Q1, what is the answer to part g?

a)

{6, 12, 18, 21, 24, 27, 30, 33, 36}

b)

{3, 6, 9, 12, 15, 18, 21, 24, 27, 30, 33, 36}

c)

{18, 24, 30, 36}

d)

{18, 21, 24, 27, 30, 33, 36}

8.

For SG Q2, what is the answer to part a?
How many boy scouts have a first aid badge?

(a)  

9.

For SG Q2, what is the answer to part b?
How many boy scouts have a camping badge or a swimming badge?

(a)  

10.

For SG Q2, what is the answer to part c?
How many boy scouts have a camping badge and a first aid badge?

a)
8
b)

22

c)

16

d)

11

11.

For SG Q2, what is the answer to part d?
How many boy scouts have a swimming badge but do not have a first aid badge?

(a)  

12.

For SG Q2, what is the answer to part e?
How many boy scouts do not have a camping badge?

(a)  

13.

For SG Q2, what is the answer to part f?

(a)  

14.

For SG Q3, what is the answer?
Guests at a wedding have an appetizer choice of soup or a salad, an entrée choice of chicken, steak, or vegetarian, then a dessert choice of vanilla or chocolate cake. How many different meals are possible?

a)

12

b)

6

c)

8

d)

18

15.

For SG Q4, what is the answer?
A date in the month of May and a letter in the word FLOWER are chosen at random. How many different outcomes are possible?

a)

186

b)

124

c)

155

d)

217

16.

For SG Q5, what is the answer?
Misha is rating an aerobics class. There are six categories and each category can be rated from one to four stars. How many ways can she rate the class?

a)

4,096

b)

1,296

c)

24

d)

144

17.

For SG Q6, what is the answer?
The spinner on the SG is spun twice, then a card from a standard deck is chosen at random. How many different outcomes are possible?

a)

7,488

b)

6,552

c)

5,200

d)

8,192

18.

For SG Q7, what is the answer?
If a letter in the word MATHEMATICIAN is chosen at random, what is the probability of choosing a vowel?

a)

6/13 ; 0.462 ; 46.2%

b)

5/13 ; 0.385 ; 38.5%

c)

7/13 ; 0.538 ; 53.8%

d)

4/13 ; 0.308 ; 30.8%

19.

For SG Q8, what is the answer?
A number from 1-30 is chosen at random. What is the probability that the number is a two-digit number and prime?

a)

1/5

b)

6/25

c)

7/30

d)

9/8

20.

For SG Q9, what is the answer?
If a card is selected at random from a standard deck, what is the probability that it is a face card or an 8?

a)

16/52 = 4/13 ; 0.308 ; 30.8%

b)

12/52 = 3/13 ; 0.231 ; 23.1%

c)

15/52 = 0.288 ; 28.8%

d)

13/52 = 0.25 ; 25%

21.

For SG Q10, what is the answer?
If a card is selected at random from a standard deck, what is the probability that it is an ace or a red card?

a)

28/52 = 7/13 ; 0.538 ; 53.8%

b)

26/52 = 1/2 ; 0.5 ; 50%

c)

16/52 = 4/13 ; 0.308 ; 30.8%

d)

14/52 = 7/26 ; 0.269 ; 26.9%

22.

For SG Q11, did you create a Venn Diagram?

a)

Yes

b)

No

23.

For SG Q12, part a, what is the answer?
Of the 125 students enrolled at a dance studio, 96 take ballet and 50 take jazz. Of those that take ballet, 28 also take jazz. If a dance student is chosen at random, find each probability. Give each answer as a fraction in simplest form. P(ballet or jazz)

a)

118/125

b)

96/125

c)

50/125

d)

78/125

24.

For SG Q12, part b, what is the answer?
If a dance student is chosen at random, find each probability. Give each answer as a fraction in simplest form. P(ballet but not jazz)

a)

68/125

b)

57/125

c)

32/125

d)

75/125

25.

For SG Q12, part c, what is the answer?
If a dance student is chosen at random, find each probability. Give each answer as a fraction in simplest form. P(neither ballet nor jazz)

a)

7/125

b)

5/25

c)

12/125

d)

1/25

26.

For SG Q13, part a, what is the answer? If a point is placed at random on AE below, find each probability as a fraction in simplest form.

a)

7/16

b)

23/48

c)

5/16

d)

11/48

27.

For SG Q13, part b, what is the answer?
If a point is placed at random on AE below, find each probability as a fraction in simplest form.

a)
21/48
b)

1/2

c)

27/41

d)

13/48

28.

For SG Q14, part a, what is the answer?
A shuttle bus arrives at a hotel every 40 minutes to take guests into town. If a guest walks out the door at a random time, find the probability of waiting at least 15 min.

a)

25/40 = 5/8

b)

10/40 = 1/4

c)

15/40 = 3/8

d)

30/40 = 3/4

29.

For SG Q14, part b, what is the answer? A shuttle bus arrives at a hotel every 40 minutes to take guests into town. If a guest walks out the door at a random time, find the probability of waiting no more than 10 min.

a)

10/40 = 1/4

b)

20/40 = 1/2

c)

30/40 = 3/4

d)

5/40 = 1/8

30.

For SG Q15 what is the answer?
A point in the figure below is chosen at random. Find the probability that the point lies in the shaded region. Give each answer as a percent.

a)

44.6%

b)

25.0%

c)

60.0%

d)

42.8%

31.

For SG Q16, what is the answer?
A point in the figure below is chosen at random. Find the probability that the point lies in the shaded region. Give answer as a percent to the nearest tenth.

(a)  

32.

For SG Q17, part a, what is the answer?
Each spinner below is spun once. P(blue, then even) = (a)  

Choose from the below words
3/16

5/10

1/2

1/4

33.

For SG Q17, part b, what is the answer? P(not red, then less than 7) =

a)

11/20

b)

21/40

c)

7/10

d)

20/23

34.

For SG Q17, part c, what is the answer? Each spinner below is spun once. P(green, then at least 3) 2/8 * 8/10 = (a)  

Choose from the below words
1/5

8/10

1/3
22/41
55/49
35.

For SG Q18, what is the answer? A month of the year and number from 1-40 is chosen at random. What is the probability that the month begins with the letter A and the number is a perfect square?

a)
1/40
b)

1/10

c)

1/6

d)

13/40

36.

For SG Q19, what is the answer?
A coin is tossed four times. Probability of getting tails each time = (a)  

Choose from the below words
1/16

1/8

1/4

1/2

1/32
37.

For SG Q20, part a, what is the answer? P(dime, then nickel) =

a)

3/41

b)

3/52

c)

1/16

d)

7/48

e)

5/41

38.

For SG Q20, part b, what is the answer? P(quarter, then a penny) =

a)

3/41

b)

3/52

c)

1/16

d)

7/48

e)

5/41

39.

For SG Q20, part c, what is the answer? P(both are not dimes) =

a)

3/41

b)

3/52

c)

31/52

d)

7/48

e)

5/41

40.

For SG Q21, what is the answer?
A card is chosen from a standard deck, not replaced, then another is chosen. Probability that both cards are spades = (a)  

Choose from the below words
1/17

1/16

1/2

3/52

13/52
616/1041
41.

For SG Q22, what is the answer?
A letter from the word BEEKEEPER is chosen at random, not replaced, then another letter is chosen. Probability of choosing a K then an E =

a)

1/15

b)

5/17

c)

6/51

d)

1/17

42.

For SG Q23, part a, what is the answer? A number from 1-50 is chosen at random. Find each probability as a fraction in simplest form. P(odd | less than 25)

a)

1/2

b)

1/3

c)

3/5

d)

2/5

43.

For SG Q23, part b, what is the answer?
A number from 1-50 is chosen at random. Find each probability as a fraction in simplest form. b) P(greater than 10 | even)

a)

4/5

b)

3/5

c)

2/5

d)

1/2

44.

For SG Q24, what is the answer? A letter in the grid below is chosen at random. What is the probability that the letter is in the word BASKETBALL, given that it landed in the shaded region? Hint: consider the repeated letters in the word

a)

1/3

b)

1/2

c)

1/4

d)

2/3

45.

For SG Q25, what is the answer? If a student is chosen at random, what is the probability that they passed the test, given that they studied? Give answer as a decimal to the nearest tenth

(a)  

46.

For SG Q26, what is the answer?
Ryan pitched for his baseball team in 5/8th of the games, it rained for 3/10th of the games, and he pitched and it rained for 1/4th of the games. If a game is chosen at random, what is the probability that it rained, given that Ryan pitched?

a)

0.4

b)

0.5

c)

0.3

d)

0.6

47.

For SG Q27, did you draw the Venn Diagram?

a)

Yes

b)

No

48.

For SG Q28, what is the answer?
If a scholarship applicant is chosen at random, find the probability that they are taking advanced classes, given that they do not have at least a 3.0 GPA.

a)

0.706

b)

0.250

c)

0.412

d)

0.589

49.

For SG Q29, did you complete the table?

a)

Table completed.

b)

Table not completed.

50.

For SG Q30, did you create a relative frequency table by filling in all joint and marginal relative frequencies?

a)

Yes

b)

No

51.

For SG Q31, what is the answer?
What percent of those surveyed are girls to the nearest tenth?

(a)  

52.

For SG Q32, what is the answer? What percent of those surveyed do not have brown eyes?

a)

24%

b)

36%

c)

50%

d)

12%

53.

For SG Q33, what is the answer?
What percent of those surveyed are boys with blue eyes?

a)

11.2%

b)

5.6%

c)

20.4%

d)

8.3%

54.

For SG Q34, what is the answer? What percent of those surveyed have brown or green eyes?

a)

80.4%

b)

65.2%

c)

72.9%

d)

54.7%

55.

For SG Q35, part a, what is the answer?
A bag contains three different colored marbles: red, blue, and green. Of these, some are solid, and some are striped. If one of the marbles is chosen at random, find each probability. P(green)

a)

23/60

b)

7/20

c)

0.39

d)

42%

56.

For SG Q35, part b, what is the answer?
A bag contains three different colored marbles: red, blue, and green. Of these, some are solid, and some are striped. If one of the marbles is chosen at random, find each probability. P(solid or blue)=

a)

43/60

b)

7/10

c)

0.73

d)

67%

57.

For SG Q35, part c, what is the answer?
A bag contains three different colored marbles: red, blue, and green. Of these, some are solid, and some are striped. If one of the marbles is chosen at random, find each probability. P(striped | green)

a)

13/21

b)

4/7

c)

0.591

d)

47.1%

58.

For SG Q35, part d, what is the answer?
A bag contains three different colored marbles: red, blue, and green. Of these, some are solid, and some are striped. If one of the marbles is chosen at random, find each probability. P(not blue | solid)=

a)

19/27

b)

0.441

c)

80.4%

d)

22/43

59.

For SG Q36, what is the answer?
The number of ways that 18 runners can win first, second, and third place.

a)

4896

b)

306

c)

4698

d)

5832

60.

For SG Q37, what is the answer? The number of ways to choose 3 slices of pizza from a pizza cut into 16 pieces.

(a)  

61.

For SG Q38, what is the answer? The number of ways to arrange the letters in the word JOURNEY.

a)

5040

b)

720

c)

40320

d)

2520

62.

For SG Q39, what is the answer? The number of ways to create a 4-person committee from a group of 25 people.

a)

12,650

b)

10,023

c)

15,600

d)

20,040

63.

For SG Q40, what is the answer? The number of ways to form a 12-person jury from a pool of 40 potential jurors.

a)

5,586,853,480

b)

1,307,504,000

c)

12,103,014,400

d)

3,838,380,800

64.

For SG Q41, what is the answer? The number of 6-digit passcodes possible using the digits 1-8 if digits cannot repeat.

a)
20160
b)

19255

c)

24512

d)

26780

65.

For SG Q42, what is the answer? A class contains 12 girls and 16 boys. If a group of 5 people is formed from this class, what is the probability that they are all boys?

a)

2/45

b)

1/13

c)

4/91

d)

1/20

66.

For SG Q43, what is the answer? To enter a video call with their teacher, each student must enter a unique passcode that begins with 3 capital letters that do not repeat. What is the probability that a student's passcode begins with ABC?

a)

1/15,600

b)

1/1,000

c)

1/26

d)

1/6,500

67.

For SG Q44, what is the answer? There are 30 calculators numbered 1-30 in a case. If 4 of the calculators are broken, what is the probability that the numbers on the broken calculators are at least 16?

a)

65/261

b)

10/143

c)

15/221

d)

20/325

68.

For SG Q45, what is the answer?
Laura is filling three empty photo frames on her mantle by randomly using individual pictures of her eight grandchildren. If Ben is her grandson, what is the probability that his picture is used in the middle frame?

a)

1/8

b)

1/3

c)

1/6

d)

1/2

Similar Resources on Wayground

NC Math 1 EOC Review

65 questions

NC Math 1 EOC Review

quiz

Worksheet

•

8th - 9th Grade

Semester 1 Final Practice

65 questions

Semester 1 Final Practice

quiz

Worksheet

•

9th Grade

7H Sept.24

70 questions

7H Sept.24

quiz

Worksheet

•

7th Grade - University

Math 7 PreAP Unit 5 TEST REVIEW

73 questions

Math 7 PreAP Unit 5 TEST REVIEW

quiz

Worksheet

•

7th - 9th Grade

Unit 4 Study guide

65 questions

Unit 4 Study guide

quiz

Worksheet

•

9th Grade

Classify Polynomials

72 questions

Classify Polynomials

quiz

Worksheet

•

9th - 12th Grade

Essentials of Math 1st Semester Final Review

63 questions

Essentials of Math 1st Semester Final Review

quiz

Worksheet

•

9th Grade

Baldwin Super Mega Review!

67 questions

Baldwin Super Mega Review!

quiz

Worksheet

•

7th Grade - University