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Total questions: 75

Worksheet time: 1hrs 15mins

Name
Class
Date
1.

What do you call the result of an experiment?

a)

event

b)

outcome

c)

counting

d)

principle

2.

What is the total number of outcomes when a coin is tossed and a number cube is rolled?

a)

8

b)

10

c)

12

d)

14

3.

What is the total number of outcomes when choosing from bike helmets that come in three colors and two styles?

a)

5

b)

6

c)

7

d)

8

4.

What is the total number of outcomes from rolling a number cube and choosing a letter form the word NUMBERS?

a)

1

b)

13

c)

42

d)

5040

5.

Marlyn brought 6 shirts, 3 pairs of pants, 2 caps and 3 pairs of footwear to the camp. How many different combinations are possible?

a)

13

b)

36

c)

72

d)

108

6.

What is 5!?

a)

24

b)

120

c)

720

d)

5040

7.

A coin is tossed thrice. How many outcomes have exactly 2 tails and 2 heads?

a)

0

b)

3

c)

8

d)

10

8.

A store sells handbags in two colors: black and white. They are available in 2 different sizes: small and large. What are the possible combinations of the color and size of a bag that a person can buy?

a)

2

b)

3

c)

4

d)

5

9.

A combination lock has 10 numbers on it and no digit can be repeated. How many sequences of 4 numbers can be formed to open the lock?

a)

30

b)

720

c)

5040

d)

30240

10.

ID numbers of employees in a company come in 3 letters and 2 digits format (LLL-DD). How many ID numbers in this format are possible?

a)

1 577 600

b)

1 656 700

c)

1 757 600

d)

1 775 600

11.

Simplify 86!84!\frac{86!}{84!} . 

a)

2

b)

86

c)

7310

d)

14 620

12.

What is 3P3?

a)

6

b)

8

c)

9

d)

15

13.

A swimming event features 8 swimmers. If each swimmer has an equally likely chance of finishing in the top two, how many possible arrangements can Yumii be in the first place and Paquita in second place?

a)

7

b)

8

c)

56

d)

65

14.

In how many ways can a president, vice president, and secretary be randomly selected from a class of 25 students?

a)

2 300

b)

3 200

c)

13 800

d)

18 300

15.

Which situation illustrates combination?

a)

choosing 3 desserts from a menu of 10

b)

opening a lock of 3 numbers from 0-9 inclusive

c)

arranging the letters of the word MATH

d)

assigning an ID number to an employee

16.

How many permutations are possible of the letters in the word FRIEND?

a)

1

b)

270

c)

702

d)

720

17.

Marisol and her friends are going to a concert. They put the slips of paper (3 blue and 5 yellow) into a bag. If a person draws a yellow slip, he or she will ride in the van to the concert. A blue slip means he or she rides in the car. Suppose Marisol draws a slip. Not liking the outcome, she puts it back and draws a second time. What is the probability that on each draw her slip is blue?

a)

5%

b)

11%

c)

14%

d)

20%

18.

A coin is tossed and a die is rolled. What is the probability that the coin lands heads up and the number rolled is 6?

a)

13\frac{1}{3}

b)

14\frac{1}{4}

c)

112\frac{1}{12}

d)

27\frac{2}{7}

19.

Francisca bought 25 raffle tickets, hoping to win the ₱1, 000 gift card to her favorite clothing store. If a total of 30 raffle tickets were sold, what is the probability that she will NOT win?

a)

17%

b)

25%

c)

83%

d)

100%

20.

What is the number of permutations of the letters of the word ‘REMAINS’ such that the vowels always occur in odd places?

a)

24

b)

48

c)

144

d)

576

21.

Your school newspaper has an editor-in-chief and an assistant editor-in-chief. The staff of the newspaper has 12 students. In how many ways can students be chosen for these two positions?

a)

12

b)

66

c)

132

d)

1 320

22.

Your school newspaper has an editor-in-chief and an assistant editor-in-chief. The staff of the newspaper has 12 students. In how many ways can students be chosen for these two positions?

a)

12

b)

66

c)

132

d)

1 320

23.

An airline is hiring 5 flight attendants. If 8 people apply for a job, how many different groups of 5 attendants can the airline hire?

a)

56

b)

105

c)

336

d)

6720

24.

How many different words (real or imaginary) can be formed from the word ISOSCELES?

a)

30 240

b)

35 250

c)

450 125

d)

120 400

25.

A school librarian would like to buy subscriptions to new magazines. Her budget however, will allow her to buy only 4 new subscriptions. How many different groups of 4 magazines can he choose from 7 magazines?

a)

35

b)

40

c)

45

d)

50

26.

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

27.

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

28.

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

29.

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

30.

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

31.

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

32.

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

33.

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

34.

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

35.

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

36.

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

37.

A set that contains all of the elements that are in atleast one of the two events.

a)

Intercection of Events

b)

Union of Events

c)

Dependent Events

d)

Independent Events

38.

A diagram that uses circles to represent sets, in which the relationship between the sets are indicated by the arrangement of the circle.

a)

Venn Diagram

b)

Cycle Diagram

c)

Mapping Diagram

d)

Round Diagram

39.

A composition of two or more simple events.

a)

Simple Event

b)

Compound Event

c)

Complement of an Event

d)

Dependent Event

40.

a)

2.56%

b)

1.40%

c)

3.12%

d)

6.50%

41.

a)

1/3

b)

1/2

c)

3/4

d)

3/7

42.

A composition  of two or  more events..

a)

Event

b)

Compound Event

c)

Sample Event

d)

Simple Event

43.

Activities such as  rolling a die,  tossing a coin ,  and the like  which have well-  defined results.

a)

Experiment/s

b)

Outcomes

c)

Sample Space

d)

Event

44.

It is the  sets of all  outcomes.

a)

Experiment/s

b)

Outcomes

c)

Sample Space

d)

Event

45.

It only  consist one  or single  Event.

a)

Event

b)

Compound Event

c)

Sample Event

d)

Simple Event

46.

It is a set of all elements common in a given two or more events.

a)

Union of sets

b)

Intersection of Sets

c)

Complement of an Event

d)

Difference

47.

A chance that something will happen.

a)

Experiment/s

b)

Probability

c)

Possibility

d)

Event

48.

What does this symbol represent?

a)

Intersection "and"

b)

Intersection "or"

c)

Union "and"

d)

Union "or"

49.

What does this symbol represent?

a)

Intersection "and"

b)

Intersection "or"

c)

Union "and"

d)

Union "or"

50.
Which of the following represents the shaded region?
a)
A union B
b)
A intersect B
c)
A ⊂ B
d)
B ⊂ A
51.

Two events with no common outcome are called ___ event.

a)

Mutually exclusive

b)

Not Mutually exclusive

c)

Intersection of events

d)

Union of events

52.

If event A has elements {2, 4, 6, 8, 10} and events B has elements {5, 10 15}, then the two events are

a)

Mutually exclusive

b)

Not Mutually exclusive

c)

Union of events

d)

Intersection of events

53.

If two events have at least one common outcome, then they are

a)

Mutually Exclusive

b)

Not mutually exclusive

c)

Union of events

d)

Intersection of events

54.

A box contains 5 red balls, 7 yellow balls and 3 blue balls. If one ball is randomly picked, what is the probability that the ball is red or blue?

a)

515+315−1015\frac{5}{15}+\frac{3}{15}-\frac{10}{15}

b)

515+1015\frac{5}{15}+\frac{10}{15}

c)

515+315\frac{5}{15}+\frac{3}{15}

d)

515+1015−315\frac{5}{15}+\frac{10}{15}-\frac{3}{15}

55.

Which of the following is NOT a true statement?

a)

If the probability of an event is closer to 0%, then the event is more likely to

happen

b)

The probability that an event will happen is from 0% to 100%

c)

The probability of an impossible event is 0%

d)

The probability of a certain event is 100%

56.

All the following events are not mutually exclusive events EXCEPT:

a)

Drawing an ace or a king in a standard deck of cards

b)

Drawing a queen or a diamond in a standard deck of cards

c)

Getting a 6 or an even number in rolling a six-sided die

d)

Getting a multiple of 3 or an even number in rolling a six-sided die

57.

Perla plans to visit her grandmother next week. If she chooses a day of the week at random, what is the probability that she will choose Monday or Thursday?

a)

17\frac{1}{7}

b)

17 +17\frac{1}{7\ }+\frac{1}{7}

c)

15\frac{1}{5}

d)

25\frac{2}{5}

58.

If a coin is tossed once, what is the probability that the coin shows either head or tail?

a)

-1

b)

0

c)

12\frac{1}{2}

d)

1

59.

A bag contains 5 white marbles, 4 red marbles and 6 blue marbles.

Stella draws one marble at random from the bag. What is the probability that the drawn marble is either red or blue?

a)

23\frac{2}{3}

b)

13\frac{1}{3}

c)

215\frac{2}{15}

d)

1015\frac{10}{15}

60.

If a die is rolled once, what is the probability of obtaining an even number or a number greater than 4?

a)

25\frac{2}{5}

b)

12\frac{1}{2}

c)

23\frac{2}{3}

d)

56\frac{5}{6}

61.

Which of the following are mutually exclusive events when a card is drawn at random from a standard deck of 52 cards?

a)

Numbered 4 or a heart

b)

Numbered 4 or a diamond

c)

Numbered 4 or a jack

d)

A jack or a face card

62.

4. All the following events are not mutually exclusive events EXCEPT:

a)

drawing an Ace or a King in a standard deck of card

b)

drawing a Queen or a Club in a standard deck of cards

c)

getting a 6 or an even number in rolling a six-sided die

d)

getting a prime number or an even number in rolling a six-sided die 

63.

5. Which of these pairs of events shows a not mutually exclusive?

a)

Getting heads or tails on a single coin toss

b)

A number that is even number or numbers greater than 25 from the set of two-digit numbers from 10 to 99 inclusive

c)

A die rolling a number less than 5 and greater than 5

d)

Getting a royal card or an ace in a standard deck of cards

64.

There are 14 tiles with one letter from the word MATHEMATICIANS on each. Find the probability of NOT randomly choosing the letter "S or T". P(not S or not T)

a)

11/14

b)

3/14

c)

3/7

d)

4/7

65.

There are 14 tiles with one letter from the word MATHEMATICIANS on each. Find the probability of randomly choosing the letter "M".

a)

1/2

b)

1/7

c)

1/14

d)

2/7

66.

A bag contains 8 blue marbles, 7 green marbles, and 5 yellow marbles. Without looking you reach into the bag and draw one marble. What is the probability of drawing a blue? P(blue)

a)

3/5

b)

7/20

c)

1/4

d)

2/5

67.

A bag contains 8 blue marbles, 7 green marbles, and 5 yellow marbles. Suppose you drew one marble from the bag above, replaced it and then drew a second marble. What is the probability of picking a yellow marble, and then blue? P(yellow, blue)

a)

9/20

b)

3/20

c)

1/10

d)

13/20

68.

What is the probability of drawing the angel emoji card, replacing it, and drawing the laughing emoji card?

a)

1/16

b)

1/64

c)

9/16

d)

1/32

69.

A bag contains 18 jerseys, 9 white and 9 red. Find the probability that you would randomly choose a white jersey, not put it back, and then choose a red jersey

a)

918×817\frac{9}{18}\times\frac{8}{17}

b)

918×917\frac{9}{18}\times\frac{9}{17}

c)

918×918\frac{9}{18}\times\frac{9}{18}

d)

918×818\frac{9}{18}\times\frac{8}{18}

70.

In tossing a 2 dice, what is the probability of getting the first die is even number and the second die is 5?

a)

1/4

b)

1/6

c)

1/8

d)

1/12

71.

A wallet contains 4 bills of P100, 5 bills of P50 and 3 bills of P20. Two bills are chosen randomly with out replacement. Find the probability of drawing a P100 bill followed by P20 bill.

a)

1/8

b)

1/9

c)

1/10

d)

1/11

72.

A wallet contains 4 bills of P100, 5 bills of P50 and 3 bills of P20. Two bills are chosen randomly with out replacement. Find the probability of drawing a P100 bill followed by P20 bill.

a)

1/8

b)

1/9

c)

1/10

d)

1/11

73.

In a math class there are 8 male students and 7 female students. A student is randomly selected to go to the front office and leaves. A second student is randomly selected to go to the office. What is the approximate probability that both students that left were a male students?

a)

25%

b)

26.7%

c)

28.4%

d)

50%

74.

In a standard deck of cards, two cards are drawn at random with out replacement. Find the probability that the two cards are kings.

a)

2/125

b)

1/221

c)

2/121

d)

1/155

75.

A code is created from 2 different digits and 2 different letters. Find the probability that the code is 46AB.

a)

1 / 58500

b)

1 / 67600

c)

1 / 60840

d)

1 / 65000

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