Free Printable Statistics and Probability I

1.

Permutation, Combination or Neither?
Choosing 3 toppings for your sundae out of a list of 15.

a)

Permutation

b)

Combination

c)

Neither

2.

Permutation, Combination or Neither?
Picking a President, Vice-President, and Secretary from a group of 12.

a)

Permutation

b)

Combination

3.

Permutation, combination, or neither?
There are 45 applicants for three Computer Programmer job positions.

a)

combination

b)

permutation

c)

neither

4.

₇P₂

a)

0

b)

7

c)

42

d)

210

5.

₁₂C₃

a)

36

b)

66

c)

220

d)

500

6.

What is the formula for Combinations, nCr?

a)

^n!∕_{(n-r)! *}_r!

b)

^n!∕_(n-r)!

c)

^r!∕_{(r-n)! * n}_!

d)

n!

7.

Six friends are going to play a ball game. Each team has 3 players. How many different team combinations are possible?

a)

120

b)

6

c)

18

d)

20

8.

Mai's history quiz has 3 true/false questions. How many ways could she complete the quiz? (hint: write out all the possible ways she could complete the quiz)

a)

2

b)

3

c)

8

d)

None of the these

9.

Chong needs to make a Twitter password. They only allow 3 letters then 4 digits. The letters can only be uppercase. How many passwords are possible?

a)

175,760,000

b)

234,812,452

c)

54,000,000

d)

None of these

10.

Student council has 24 members. In how many different ways can a president, vice-president, treasurer, historian, and secretary be selected?

a)

5,100,480

b)

0

c)

42,504

d)

5.17 x 10²¹

11.

A team of 17 volleyball players needs to choose three players to refill the water cooler. How many different ways can the players be chosen?

a)

3360

b)

560

c)

4080

d)

680

12.

A particular model at a New Car Dealership comes in 4 trim levels, 5 different colors, and 3 different interiors. How many different versions of this car model can be created from these options?

a)

180

b)

23

c)

12

d)

60

13.

Members of 6 different school organizations decorated floats for the homecoming parade. How many different ways can first, second, and third prize be awarded?

a)

18

b)

120

c)

36

14.

If you roll two dice, how many possible outcomes?

a)

360

b)

1

c)

36

d)

12

15.

A coin and a number cube with the numbers 1 through 6 are tossed. What is the probability of the coin showing tails and the number cube showing the number 3?

a)

1/12

b)

1/4

c)

1/8

d)

1/2

16.

A bag has 3 red marbles, 2 blue and 4 green and 1 yellow. What is the theoretical probability of pulling a green?

a)

1/10

b)

1/4

c)

2/5

d)

1/2

17.

How many ways can five different books be arranged on a bookshelf?

a)

120

b)

3125

c)

60

d)

25

18.

From among 12 projects under consideration, the mayor must put together a prioritized list of 6 projects to submit to the city council for consideration. How many lists can be formed?

a)

924

b)

665,280

c)

479001600

d)

72

19.

How many 5-letter arrangements can be made from the letters of the word LOGARITHM?

a)

15,120

b)

462

c)

55

d)

181,440

20.

How many distinguishable 11-letter arrangements can be made from the letters of the word CHATTANOOGA?

a)

24

b)

39,916,800

c)

1,663,200

d)

77

21.

How many ways can you answer a 10 question multiple choice quiz if each question has four options?

a)

1,048,576

b)

5040

c)

10,000

d)

210

22.

How many license plates are possible if each contains 3 letters followed by 3 digits if letters and digits can be repeated?

a)

17,576,000

b)

11,232,000

c)

312,000

d)

2,176,782,336

23.

How many license plates are possible if each contains 3 letters followed by 3 digits if no letters nor digits can be repeated?

a)

17,576,000

b)

11,232,000

c)

312,000

d)

2,176,782,336

24.

How many different five-card hands can be dealt from a standard deck of 52 cards?

a)

2,598,960

b)

311,875,200

c)

260

d)

380,204,032

25.

When buying a new car, the customer can choose from 7 different exterior colors, 4 interior colors, and 3 different accessory packages? How many different cars can the customer order?

a)

84

b)

2184

c)

364

d)

924

26.

The Pizza Palace at the mall offers two different size pizzas and has 15 topping options. How many different pizzas are possible if no double toppings or half toppings are possible?

a)

65,536

b)

450

c)

256

d)

210

27.

At the frozen yogurt shop, there are 12 different toppings you can add to your frozen yogurt. If you can get your yogurt plain or with every topping possible, how many different ways can you get your frozen yogurt?

a)

4096

b)

144

c)

66

d)

132

28.

A human resources director interviews eight people for three identical positions. How many ways can she select three of people to move on to the second interview?

a)

56

b)

336

c)

512

d)

6561

29.

For summer reading, students must choose one of 5 novels, one of 4 biographies, one of 7 non-fiction book, and one of 6 self-improvement books. How many ways can students choose 4 books for summer reading?

a)

840

b)

212,520

c)

8855

d)

1680

30.

How many five-card hands are possible if the hand contains the Ace of hearts and King of spades?

a)

19,600

b)

22,100

c)

370,832

d)

1680

31.

Five different colored dice are tossed. How many different outcomes are possible?

a)

7776

b)

15,625

c)

720

d)

30

32.

How many ways can you arrange the letters in the word:

NETFLIX

a)

28

b)

2520

c)

5,040

d)

Too many to count

33.

How many ways can you arrange the letters in the word:

HULU

a)

16

b)

12

c)

24

d)

8

34.

How many ways can you arrange the letters in the word:

INSTAGRAM

a)

72

b)

20,160

c)

181,440

d)

362,880

35.

How many ways can you arrange the letters in the word:

PALMER

a)

$6!$

b)

$\frac{6!}{2}$

c)

$6\times5$

d)

$6\times6$

36.

How many ways can you arrange the letters in the word:

PILLOW

a)

$6!$

b)

$\frac{6!}{2}$

c)

$6\times5$

d)

$6\times6$

37.

How many ways can you arrange the letters in the word:

MISSISSIPPI

a)

$11!$

b)

$\frac{11!}{2}$

c)

$11\times11$

d)

$\frac{11!}{\left(4!\right)\left(4!\right)\left(2!\right)}$

38.

How many ways can you arrange the letters in the word:

QUIZIZZ

a)

$7!$

b)

$\frac{7!}{2}$

c)

$\frac{7!}{3!}$

d)

$\frac{6!}{3!}$

39.

How many ways can you arrange the letters in the word:

QUIZIZZ

a)

$5040$

b)

$2520$

c)

$120$

d)

$840$

40.

Everybody in a room shakes hands with everybody else. The total number of handshakes is 66. Then the total number of persons in the room is

a)

11

b)

12

c)

13

d)

14

41.

A box contains 2 green balls, 3 red balls and a black ball. Three balls are picked at random. In how many ways this can be done if an equal representation is desire?

a)

6

b)

4

c)

3

d)

2

42.

There are 10 balls of different colors. In how many ways can 7 select so as to exclude the white and the black balls?

a)

4

b)

26

c)

56

d)

8

43.

The number of permutations of letter $x^2y^4z^3$ is:

a)

$9!/2!4!$

b)

$9!/2!4!3!$

c)

$9!/3!4!$

d)

$9!$

44.

How many ways can a teacher arrange 4 out of 8 children in a row?

a)

1680

b)

1240

c)

7240

d)

2360

e)

1295

45.

The number of ways in which 5 differently colored beads can be arranged in a circle on a table is

a)

24

b)

20

c)

40

d)

42

46.

How many different arrangements can be made by using all the letters of the word “CAJOLE”, where LE always remains together?

a)

40

b)

100

c)

90

d)

240

47.

Number of ways if different color of RAINBOW are arranged so that blue and green are

never together.

a)

2600

b)

3600

c)

4600

d)

None

48.

Xara finds that by wearing different combinations of the jackets, shirts and pairs of trousers that she owns, she can make up 90 different outfits. If she owns 5 jackets and 3 pairs of trouser, how many shirts does she own?

a)

3

b)

6

c)

12

d)

15

49.

$^{15}C_{11}÷^{15}C_{10}$

The value of is equal to

a)

$15/11$

b)

$15/10$

c)

5/11

d)

5/10

50.

How many different ways can 8 people be arranged in a row to take a picture?

(a)

51.

The password for an account must be two letters followed by two digits. Repetitions of letters or digits ARE allowed. How many different passwords are possible?

(a)

52.

The password for an account must be two letters followed by two digits. Repetitions of letters or digits are NOT allowed. How many different passwords are possible?

(a)

53.

There are 15 students in a class. How many different ways could two students be selected to carry a box to the office?

(a)

54.

There are 16 students in a club. How many different ways could the elect a president and vice-president?

(a)

55.

How many different ways can you rearrange the letters in the word FATHER?

(a)

56.

How many different ways can you rearrange the letters in the word SISTER?

(a)

57.

Antonio has four shirts, three pairs of pants, and four hats. How many different outfits can he make?

(a)

58.

A passcode must be two digits followed by three letters. How many passcodes are possible if repetitions are NOT allowed?

a)

$10\times10\times26\times26\times26$

b)

$10\times9\times26\times25\times24$

c)

$10!$

d)

$10\times9\times8\times7\times6$

59.

How many ways can a president, vice-president, and secretary be selected from a club that has 42 members?

a)

$42!$

b)

$42\times3$

c)

42 nPr 3

d)

42 nCr 3

60.

How many ways can three members of a club be selected to give a presentation on Club Day if there are 42 members in the club?

a)

$42!$

b)

$42\times3$

c)

42 nPr 3

d)

42 nCr 3

61.

In how many ways could the 42 members of a club line up to get their pictures taken?

a)

$42!$

b)

$42\times3$

c)

42 nPr 3

d)

42 nCr 3

62.

How many ways can the letters in the word JAMAICA be arranged?

a)

$7!$

b)

$\frac{7!}{2}$

c)

$\frac{7!}{3}$

d)

$\frac{7!}{3!}$

63.

In the recipe of a lemonade 2 cups of sugar is needed for 3 lemons. How many lemons are needed for 6 cups of sugar?

a)

4

b)

6

c)

8

d)

9

64.

If you choose from the following M & M colors, what is the probability that you choose blue?
5 green
6 yellow
8 blue
7 brown

a)

8/26

b)

4/13

c)

8/25

d)

1/3

65.

Solve the proportion.

a)

k=5

b)

k=3.3333333

c)

k=60

d)

k=90

66.

A bag of marbles comes with 3 blue marbles, 2 red marbles, and 5 yellow marbles. What is the probability of picking a blue marble?

a)

$30\%$

b)

$3\%$

c)

$20\%$

d)

$50\%$

67.

Write the percent as a decimal 52%

a)

5.2

b)

0.52

c)

0.052

d)

52.0

68.

Determine if the ratios are proportional.
4/5 and 15/20

a)

Yes

b)

No

69.

What is the mode of this data

1,3 5,2 8 ,5,6

a)

6

b)

8

c)

1

d)

5

70.

If Mike has a ratio of 2 apples to 3 bananas, how many apples would you expect him to have if he has 15 bananas?

a)

7

b)

9

c)

10

d)

2

71.

Which statement matches the graph?

a)

Taylor can write 6 words per minute

b)

Taylor can write 25 words per minute

c)

Taylor can write 50 words per minute

d)

Taylor can write 150 words per minute

72.

Solve the proportion.

a)

20

b)

7

c)

22

d)

11

73.

Solve for x:

$7\left(2x-4\right)=42$

(a)

74.

What is the mean in this data

5,10,3,2,5

a)

5

b)

6

c)

4

d)

7

75.

The temperature in Springfield on this date in the last ten years were: 68, 68, 69, 70, 72, 70, 68, 75, 55, 67. What is the average temperature on this date over the last ten years? (Round to nearest whole number)

a)

60

b)

61

c)

68

d)

69

76.

Write the percent as a decimal 7%

a)

0.70

b)

7.0

c)

0.07

d)

0.7

77.

Solve the proportion.

a)

-5

b)

2

c)

7

d)

6

78.

The following M & M colors are in the bowl:

4 yellow, 6 orange, 3 green, 5 blue, 2 brown

What is the probability of selecting a brown candy?

a)

2/18

b)

1/9

c)

2/20

d)

1/10

79.

Is the range in this data

5,8,6,4,8 is 4

a)

False

b)

True

80.

What is 87% of 55?

a)

47.85

b)

46.52

c)

87.5

d)

55.8

81.

What is the median in this data

2,8,0,5,3

a)

3

b)

5

c)

0

d)

8

82.

What is 0.0123 as a percent?

a)

0.123%

b)

12.3%

c)

1.23%

d)

0.0123%

83.

Lizzy had test scores of: 72, 94, 108, 60
What is the RANGE of her test scores?

a)

12

b)

72

c)

48

d)

98

84.

Theoretically, what is the probability of rolling a sum of one with a pair of dice?

a)

0

b)

1/6

c)

1/12

d)

1/36

85.

Solve the following proportion:

$\frac{2}{12}=\frac{4}{6x}$

(a)

86.

Solve the following proportion:

$\frac{3}{2}=\frac{2x+1}{x}$

(a)

87.

Write 0.56 as a percent.

a)

5.6%

b)

56%

c)

560%

d)

0.056%

88.

Solve for x:

$-5=4x+3$

(a)

89.

What is the probability of spinning a red if we spin 30 times?

a)

1/5

b)

1/30

c)

3/30

d)

1/10

90.

14 - 2x = -2x + 18

a)

x = -1

b)

x = 1

c)

There is no solution.

d)

There are infinite solutions.

91.

What is the probability of spinning a number less than 5?

a)

16 2/3%

b)

33 1/3 %

c)

66 2/3%

d)

83 1/3%

92.

What is the range in this data

8,0,8,9,9

a)

9

b)

6

c)

7

d)

8

93.

Determine whether each pair of ratios forms a proportion

a)

Proportion

b)

Not a Proportion

94.

$\frac{2x}{20\ }=\ \frac{2}{4}$

a)

x= 20

b)

x= 4

c)

x= 5

d)

x = 2

95.

2 apples cost $20. What will 5 Apples cost?

a)

28

b)

45

c)

50

d)

39

96.

Solve: $\frac{\left(m+7\right)}{5}=\frac{\left(m+6\right)}{6}$

a)

-8

b)

-12

c)

6

d)

8.9

97.

What is 3/4 as a decimal?

a)

3.4

b)

0.25

c)

0.5

d)

0.75

98.

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

99.

At a New Car Dealership a particular model comes in 4 trim levels, 5 different colors, and 3 different interiors. How many different versions of this car model can be created from these options?

a)

180

b)

23

c)

12

d)

60

100.

If you draw a random card from a standard deck of cards, how many possible outcomes?

a)

13

b)

26

c)

52

d)

54

101.

If you roll two dice, how many possible outcomes?

a)

360

b)

1

c)

36

d)

12

102.

Which method of finding the total outcomes of an event allows you to see all possible outcomes?

a)

fundamental counting principle

b)

experimental probability

c)

theoretical probability

d)

tree diagram

103.

Find the total number of outcomes for picking a day of the week and a month of the year.

a)

19

b)

84

c)

60

d)

210

104.

Tree Diagram

a)

A written list of all possible outcomes

b)

A description of all possible outcomes

c)

A drawing with branches of all possible outcomes

105.

Permutation, combination, or neither?
Rob and Mary are planning trips to 9 countries this year. There are 13 countries they would like to visit. They are deciding which countries to skip.

a)

combination

b)

permutation

c)

neither

106.

An election of a working group wants to select three students from a group of six candidates. In how many ways can this be done?

a)

6!

b)

120

c)

20

d)

3!

107.

How would you solve?

A reading club offers a choice of 8 books from a list of 40 books. In how many ways can a member make a collection?

a)

Permutation

b)

Combination

c)

Factorial

108.

The Volley ball club with ten members is to choose three officers for captain, co-captain and secretary. How many ways can those offices be filled?

a)

720

b)

120

c)

10!

109.

Picking a President, Vice-President and Treasurer from a group of 10.

a)

Combination

b)

Permutation

110.

Let’s say we have 8 people:

1: Ann

2: Jimmy

3: Carson

4: Jason

5: Katrina

6: Kenneth

7: Ernest

8: Cherry

How many ways can we award a 1st, 2nd and 3rd place prize among 8 contestants? (Gold / Silver / Bronze)

a)

56

b)

336

c)

3/8

d)

1/512

111.

This padlock should be called as.....

a)

Combination padlock

b)

Permutation padlock

112.

Which of the following is an example of combination?

a)

Form a passcode with 4 digits

b)

Students line up in a queue to assembly

c)

Choose 4 students in a class committee

d)

Choose the chairperson, secretary and treasurer in a club

113.

A committee that consist of 6 teachers is to be chosen from 4 male teachers and 5 female teachers. Find the number of different committee that can be formed if 3 male teachers and 3 female teachers are required in the committee.

a)

120

b)

60

c)

84

d)

40

114.

From a group of 4 boys and 3 girls, in how many ways can we form a group 3 with at least 2 girls?

a)

35

b)

13

c)

12

d)

19

115.

I want to arrange 5 boys and 5 girls together such that the same gender are together. The number of ways =

a)

2!*5!*5!

b)

2!

c)

10!

d)

10!-(5!*5!)

116.

I have 5 boys and 5 girls. I want to form a team of 4 people with less than 2 boys. Which of the following are the correct case(s)?

a)

0B 4G, 1B 3G, 2B 2G

b)

2B 2G, 3B 1G, 4B 0G

c)

0B 4G, 1B 3G

d)

2B 2G

117.

How many license plates consisting of three letters followed by three numbers are possible when no repetition is allowed?

a)

26 x 25 x 24 x 10 x 9 x 8 = 11232000

b)

26 x 26 x 26 x 10 x 10 x 10 = 17576000

c)

26 x 25 x 24 x 9 x 8 x 7 = 7862400

d)

26 x 26 x 26 x 9 x 9 x 9 = 12812904

Statistics and Probability I

Total questions: 117

Worksheet time: 1hrs 28mins

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