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Worksheets

Statistics and Permutations

Total questions: 35

Worksheet time: 1hrs 10mins

Name
Class
Date
1.

A bottle contains 8 marbles, 3 are red and 5 are blue. You are to take a marble from the bottle without looking. What is the probability that you pick a red marble?

a)

1/3

b)

3/8

c)

5/8

d)

3/5

2.

A die is rolled, what is the probability that the number rolled is greater than 2?

a)

2/3

b)

1/3

c)

1/2

d)

1/4

3.

One card is drawn from a standard deck of 52 cards. What is the probability that the card drawn is a face card?

a)

5/13

b)

3/13

c)

1/4

d)

1/13

4.

In a school club there are 3 freshmen, 5 sophomores, 4 juniors and 7 seniors. One student is chosen at random. What is the probability that the student chosen is a senior?

a)

7/19

b)

3/19

c)

4/19

d)

5/19

5.

A letter is chosen at random from the word “MILKTEA”. What is the probability that the letter chosen is a vowel?

a)

5/7

b)

4/7

c)

3/7

d)

2/7

6.

If one card is drawn from a deck of 52 cards, what is the probability that it would not be a queen?

a)

1/13

b)

4/13

c)

6/13

d)

12/13

7.

A bag contains 8 red marbles and 7 green marbles. What is the probability of getting a green ball?

a)

1/7

b)

1/8

c)

7/15

d)

8/15

8.

From the numbers 1-30, what is the probability that it is divisible by 3?

a)

1/2

b)

1/3

c)

1/4

d)

1/5

9.

The probability that Kathy will not be hired in her job is 1/3 . What is the probability that she will be hired?

a)

1/2

b)

1/3

c)

1/4

d)

2/3

10.

An urn contains 15 white balls and 25 blue balls. If Margarette will pick a ball at random, what is the probability that it is a blue ball?

a)

2/5

b)

3/5

c)

3/8

d)

5/8

11.

Two fair dice are rolled. What is the probability that the product of the numbers that show up is 12?

a)

1/9

b)

1/36

c)

4/9

d)

0

12.

The pages of a Math Book are numbered 1 – 50. A page is chosen at random. What is the probability that the page number contains a single digit?

a)

1/5

b)

1/50

c)

9/50

d)

41/50

13.

A card is randomly drawn from a standard deck of 52 playing cards. What is the probability that the card drawn is not a heart?

a)

1/4

b)

1/2

c)

3/4

d)

3/13

14.

A box contains 5 red discs, 6 green discs and 4 blue discs. One disc is randomly drawn from the box. What is the probability that it will be a blue disc?

a)

1/3

b)

2/5

c)

4/15

d)

11/15

15.

A letter is randomly chosen from the word MERCY. What is the probability that it will be a vowel?

a)

1/5

b)

2/5

c)

3/5

d)

4/5

16.

How many numbers of permutations can be drawn using 7 keys around a key ring?

a)

60

b)

120

c)

240

d)

720

17.

What is the value of 5!?

a)

25

b)

15

c)

120

d)

720

18.

In how many ways can 6 people arrange themselves in a row for picture taking?

a)

24

b)

60

c)

120

d)

720

19.

The batting order for seven players on a 12 person team.

a)

Not Permutation

b)

permutation

20.

Which of the following expressions represents the permutation of 4 different letters taken 2 at a time?

a)

4P4

b)

4P2

c)

2P2

d)

2P4

21.

Evaluate 10!

a)

3,628,800

b)

362,880

c)

39,916,800

d)

40,320

22.

Which of the following does not belong?

a)

P(7,2)

b)

7P2

c)

42

d)

P(2,7)

23.

Permutation is the situation when

a)

A different result occurs when positions of objects are switched

b)

counting principles are applied

c)

The same result occurs when positions of objects are switched

d)

I don't know

24.

Identify whether each situation illustrates permutation or not.


Picking 2 fruits from a basket of 10 different fruits.

a)

PERMUTATION

b)

NOT PERMUTATION

25.

Anna, Bon, Charles, Dianne, Fe and Erwan want to take a photo in which Anna and Erwan must not stand next to each other. How many different photos are possible?

a)

240

b)

120

c)

480

d)

720

26.

The symbol of n! is read as ______.

a)

N exclamation

b)

N factorial

c)

N prime

d)

N radius

27.

There are six people, including you and your enemy, in a line. In how many ways can you arrange yourselves such that you and your enemy will never be beside each other?

a)

240 ways

b)

720 ways

c)

480 ways

d)

670 ways

28.

In how many ways can you arrange seven people to be seated in a round table?

a)

5040 ways

b)

720 ways

c)

120 ways

d)

840 ways

29.

In how many ways can a group of 8 persons arrange themselves around a circular table if 3 of them insist on sitting beside each other?

a)

4,320

b)

720

c)

6,720

d)

336

30.

Find the number of distinguishable permutation of the letter in a word “BASKETBALL“.

a)

453, 600 ways

b)

45, 360 ways

c)

4,536 ways

d)

453 ways

31.

Which of the following expressions represents the permutation of 7 people seated on a circular dining table?

a)

7!

b)

(7-1)!

c)

(7-1)!/2

d)

7P7

32.

Calculate the number of three-digit numbers that can be formed using the digits 1, 3, 5, 7 and 9 without repetition.

a)

60

b)

240

c)

120

d)

945

33.

What is r if 6Pr = 360?

a)

3

b)

2

c)

4

d)

5

34.

In how many ways can the letters of the word BIRTHDAY be arranged so that the vowels always come together?

a)

8!

b)

8!×2!8!\times2!

c)

7!

d)

7!×2!7!\times2!

35.

The different possible arrangements of objects in a circle.

a)

Circular Permutation

b)

Permutation in a Row

c)

Permutation with Repetitions

d)

Permutations of n taken r at a time