wayground logo

Free Printable Worksheets

Font size

S
M
L
XL
Worksheets

Cumulative PROBABILITY BANK

Total questions: 132

Worksheet time: 4hrs 7mins

Name
Class
Date
1.

Which of these cannot be considered a probability of an outcome?

a)

1/3

b)

-1/5

c)

0.80

d)

112%

e)

1

2.

How many outcomes are in the sample space for tossing one coin?

a)

1

b)

2

c)

4

d)

8

3.
What is the probability of spinning green?
a)
0
b)
1/4
c)
1/2
d)
3/4
4.
What is the probability of spinning red?
a)
0
b)
5/12
c)
1/2
d)
3/4
5.
The letters that form the word ALGEBRA are placed in a bowl. What is the probability of choosing a letter other than “A”? 
a)
2/7
b)
5/49
c)
5/7
d)
10/49
6.
A bag contains 30 pieces of candy. There are 15 grape, 7 cherry, 3 lemon, 5 strawberry. What is the probability of drawing a lemon?
a)
3
b)
1/10
c)
3/10
d)
30%
7.
The chart below represents the number of marbles in a jar.
P(green) = 
a)
5/19
b)
10/28
c)
5/14
8.
What is the probability of rolling 15 with a pair of dice?
a)
impossible
b)
unlikely
c)
equally likely
d)
likely
9.
Probability can be expressed as a number between_____ and _____.
a)
0 and 100
b)
0 and 10
c)
0 and 1
d)
-1 and 1
10.
Probability can be written as ...
a)
a fraction
b)
a decimal
c)
a percent
d)
all of the above
11.
What is the probability of rolling a cube and having it land as a six?
a)
1/6
b)
5/6
c)
1/3
d)
1/2
12.
What is the probability of rolling a cube and having land as an odd number?
a)
3/4
b)
1/3
c)
1/2
d)
2/5
13.
The probability of it raining today is 30%.  What is the probability that it will NOT rain?
a)
30%
b)
70%
c)
100%
d)
0%
14.
Find the probability of not rolling a 2 on a single die.
a)
1/6
b)
2/6
c)
5/6
d)
2
15.
Probability is ...
a)
the chance that some event will occur.
b)
a game that involves coins.
c)
a guarantee.
16.

A(n) ___________ is something that might happen.

a)

set

b)

probability

c)

event

d)

subset

17.

The collection of all possible outcomes is called the ____________________.

a)

set

b)

probability

c)

event

d)

sample space

18.

You have 5 pairs of pants, 6 shirts, and 2 pairs of shoes. How many total "outfits" do you have?

a)

5+6+2=135+6+2=13 outfits

b)

(5+6)⋅2 =13\left(5+6\right)\cdot2\ =13 outfits

c)

5⋅6⋅2=605\cdot6\cdot2=60 outfits 

d)

(5⋅6)+2=32\left(5\cdot6\right)+2=32 outfits 

19.

You will roll a six-sided single die.  What is the theoretical probability that you roll an even number?

a)

P(even) = 23P\left(even\right)\ =\ \frac{2}{3}  

b)

P(even) = 13P\left(even\right)\ =\ \frac{1}{3}

c)

P(even) = 12P\left(even\right)\ =\ \frac{1}{2}  

d)

P(even) = 34P\left(even\right)\ =\ \frac{3}{4}

20.

Probability is the measure of the _____ that an event will occur.

a)

outcome

b)

likelihood

c)

measure

d)

possible

21.

If the probability of an event is  510\frac{5}{10}  , which of the following best describes the event?

a)

The event will never ocurr

b)

The is a small chance that the event will occur

c)

The event is likely to occur

d)

The event will definitely occur

e)

The event is equally likely to occur

22.

Find P(the sum is greater than 7) =


a)

18/36

b)

15/36

c)

12/36

d)

9/36

23.

Find P(even number sum) =

a)

18/36

b)

24/36

c)

6/36

d)

30/36

24.

If a student was randomly chosen from this population, find P(male) = ?

a)

.5

b)

.6238

c)

.4917

d)

.4291

25.
How do you write 0.02 as a percent?
a)
20%
b)
200%
c)
2%
d)
.02%
26.

In a pet store, there are 6 puppies, 4 gerbils, and 7 parakeets. If a pet is chosen at random, what is the probability of choosing a puppy or a parakeet?

a)

11/17

b)

13/17

c)

10/17

d)

None of the above

27.

A number from 1 to 10 is chosen at random. What is the probability of choosing a 5 or an even number?

a)

3/5

b)

1/2

c)

1/5

d)

None of the above

28.

What is the sample space?

a)

6 bears

b)

orange, green, red, white, yellow

c)

2 red, 1 green, 1 orange, 1 yellow, 1 white

d)

2 , 1, 1, 1, 1

29.

What is the sample space for a standard six-sided die?

a)

1, 2, 3, 4, 5, 6

b)

6

c)

100%

d)

2, 3, 4, 5, 6

30.

Find the probability of rolling greater than a 1 on a single die.

a)

6/6

b)

5/6

c)

4/6

d)

1/6

31.

Find P(MM)

a)

42132\frac{42}{132}

b)

35132\frac{35}{132}

c)

20132\frac{20}{132}

d)

1323\frac{13}{23}

32.

There are 10 counters in a bag, 3 red and 7 blue.


I take one counter, then another without replacement.

Find the probability of the value marked x

a)

7/10

b)

3/10

c)

6/9

d)

2/9

33.

There are 10 counters in a bag, 3 red and 7 blue.


I take one counter, then another without replacement.

Find the probability of the value marked x

a)

7/10

b)

3/10

c)

6/9

d)

2/9

34.

There are 10 counters in a bag, 3 red and 7 blue.


I take one counter, then another without replacement.

Find the probability of the value marked w

a)

7/10

b)

3/10

c)

6/9

d)

2/9

35.

There are 10 counters in a bag, 3 red and 7 blue.


I take one counter, then another without replacement.

Find the probability of picking one of each colour counters.

a)

21/90

b)

48/90

c)

42/90

d)

10/19

36.

Two dice are rolled and it is recorded whether the result on each is odd or even. What is the probability both are odd?

a)

1/4

b)

1/2

c)

2/4

d)

3/4

37.

How many females studied Spanish?

a)

13

b)

30

c)

24

d)

17

38.

How many Males studied a language in total?

a)

41

b)

72

c)

31

d)

41

39.

What value should go in the blue box?

a)

21

b)

135

c)

19

d)

22

40.

How many students in total do not have a cell phone?

a)

13

b)

9

c)

22

d)

78

41.

How many students were surveyed in total?

a)

78

b)

22

c)

70

d)

100

42.

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

43.

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


2) What is the probability a randomly selected student is male?

a)

12/100

b)

17/100

c)

44/100

d)

56/100

44.

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


3) What is the probability a randomly selected student earned a passing grade?

a)

20/100

b)

35/100

c)

65/100

d)

87/100

45.

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


4) Given that the grade is an A, what is the probability of the student being female?

a)

8/20

b)

12/20

c)

8/44

d)

12/56

46.

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


7) What is the probability that a randomly selected employee is male and a sergeant?

a)

8/13

b)

8/33

c)

8/67

d)

8/100

47.

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


8) Given the employee is a chief, what is the probability the employee is male?

a)

1/100

b)

1/33

c)

1/2

d)

1/67

48.

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


10) Given the employee is an inspector, what is the probability the employee is male?

a)

2/6

b)

2/33

c)

2/67

d)

2/100

49.

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 independently or with an adult?

a)

15/60

b)

48/60

c)

33/120

d)

48/120

50.
What is the probability of spinning an even number? 
a)
16 2/3%
b)
33 1/3%
c)
50%
d)
75%
51.
What is the probability of spinning red?
a)
0
b)
5/12
c)
1/2
d)
3/4
52.
The letters that form the word ALGEBRA are placed in a bowl. What is the probability of choosing a letter other than “A”? 
a)
2/7
b)
5/49
c)
5/7
d)
10/49
53.

P(not A) *simplest form

a)

6/8

b)

3/4

c)

2/8

d)

1/4

54.
Is the event INDEPENDENT or DEPENDENT?
You have a jar with 24 pieces of chocolate candy and 14 pieces of orange candy.  We take one piece of candy at random from the jar, put it back, and then take a second piece of candy at random from the jar.
a)
Independent
b)
Dependent
55.

Is the event INDEPENDENT or DEPENDENT?

Amy plays card games. She picks a card at random. Then without putting the first card back, she picks a second card at random.

a)

Independent

b)

Dependent

56.
Is the event INDEPENDENT or DEPENDENT?
The spinner is spun twice.  What is the probability that it lands on red first and then blue?
a)
Independent
b)
Dependent
57.

There are 4 black marbles and 2 white marbles in a bag. What is the probability of choosing a black marble, not replacing it, and then choosing white.

a)

4/15

b)

3/17

c)

2/5

d)

2/19

58.
Ricardo has the spinner pictured here and a bag of marbles filled with 2 red marbles, 3 green marbles, and 3 blue marbles. What is the probability that Ricardo spins red on the spinner and picks a red marble out of the bag?
a)
1 ⁄ 16
b)
1 ⁄ 2
c)
1 ⁄ 4
d)
1 ⁄ 8
59.

Cole has two bags of marbles. The first bag contains 6 red, 5 blue, & 4 green marbles. The second bag contains 3 red, 2 blue, & 4 green marbles. Cole will randomly select 1 marble from each bag. What is the probability he selects a blue marble from each bag?

a)

5/9

b)

1/35

c)

1/6

d)

2/27

60.
You pick a marble from this bag.
What is the probability you will choose either a black or white marble?
a)
3/5
b)
9/100
c)
1/10
d)
2/5
61.

Find the probability of rolling greater than a 1 on a number cube.

a)

1/2

b)

5/6

c)

4/6

d)

1/6

62.

Find the probability of rolling a 7 on a number cube.

a)

1/6

b)

7/6

c)

0

d)

7/7

63.

How many total combinations are represented?

a)

12

b)

22

c)

3

d)

18

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.

p(yellow)

a)

1/2

b)

1/6

c)

1/8

d)

1/4

66.

This table shows the sum of rolling 2 dice. What is the probability of getting a 6?

a)

5/36

b)

6/36

c)

5

d)

1/36

67.
If P(A) = 0.032, what is P(A')?
a)
0.032
b)
1
c)
0.68
d)
0.968
68.
If P(A) = 1/3 and P(A and B) = 2/15, what is P(B)?
a)
1/5
b)
5/2
c)
2/45
d)
2/5
69.
P(not A) = 
*Remember to simplify.*
a)
6/8
b)
3/4
c)
2/8
d)
1/4
70.
Theoretical Probability is?
a)
What Should happen
b)
What does happen
c)
What Will Happen
d)
What I want to Happen
71.
If I spin 35 times, how many times should the color yellow show up?
a)
1
b)
5
c)
7
d)
10
72.

Determine the probability of landing on an odd number.

a)

25%

b)

30%

c)

50%

d)

75%

73.

Determine the probability of rolling a number less than 3.

a)

33%

b)

25%

c)

50%

74.

In this bag of marbles, determine the probability of picking a red marble.

a)

55%

b)

75%

c)

45%

75.
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
76.
The chart below represents the number of marbles in a jar.
P(green) = 
a)
5/19
b)
10/28
c)
5/14
77.

If you are picking a card randomly from a deck of cards, the events of picking a jack and picking a heart are mutually exclusive.

a)

True

b)

False

78.
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
79.

When rolling a 6 sided die, what is the probability of rolling either an even number or a 5?

a)

1/2

b)

5/6

c)

2/3

d)

1/12

80.

Danny has 20 chocolates. 5 are milk chocolates, 10 are dark chocolates, and 5 are white chocolates. What is the probability of getting a milk chocolate or a dark chocolate?

a)

3/4

b)

1/2

c)

1/15

d)

3/10

81.
Which of the following shows how to determine P(shaded number or number less than five)?
a)
4/8 + 4/8 - 2/8
b)
4/9 + 2/8 - 4/8
c)
4/8 + 6/8 + 2/8
d)
2/8 + 4/8 - 4/8
82.

The chance of rolling a 2 is 1/6. What is the chance of not rolling a 2?

a)

2/6

b)

1/6

c)

5/6

d)

Not possible

83.

How likely are you to NOT roll a 1 on a regular die? (Complement)

a)

P' = 2/6

b)

P' = 3/6

c)

P' = 5/6

d)

P' = 1/6

84.
The probability of it raining today is 30%.  What is the probability that it will NOT rain?
a)
30%
b)
70%
c)
100%
d)
0%
85.

The probability that a randomly chosen American is a Republican is 0.47. What is the probability that a randomly chosen American is not Republican?

a)

0.35

b)

0.53

c)

0.47

d)

0.43

86.
What is the probability of getting any letter that is not A?
a)
6/8
b)
3/4
c)
2/8
d)
1/4
87.

If Mrs. Mack polls the class and asks, "What is your favorite pizza topping?" Suppose that the responses include: 10% cheese; 30% pepperoni; 25% sausage; 5% ham. What percent of the class have another opinion?

a)

20%

b)

30%

c)

35%

d)

This cannot be calculated.

88.

If Mrs. Diskin polls the class and asks, "What is your favorite pizza topping?" Suppose that the responses include: 10% cheese; 30% pepperoni; 25% sausage; 5% ham. What is the probability that a student responded "pepperoni" or "sausage"?

a)

30%

b)

25%

c)

55%

d)

This cannot be calculated.

89.
What is the probability that the person picked will be a boy given they speak german? 
a)
.7273
b)
.4
c)
.16
d)
.22
90.
Mary is a good student. The probability that she studies and passes her test is 3/5. If the probability that she studies is 8/9. What is the probability that she passes given that she studies? 
a)
27/40
b)
1.48
c)
.008
d)
.0593
91.
What is the probability that they speak French given they are a girl? 
a)
2.14
b)
.24
c)
.4
d)
.8571
92.
What is the probability that a female is chose given they like a Toyota? 
a)
.525
b)
.4627
c)
.6774
d)
.3143
93.
P(Sandals|Pants):
a)
4/20
b)
6/15
c)
1/2
d)
2/7
94.

Pr(A∣B)

a)

Pr(A∩B)/Pr(B)

b)

Pr(A∩B)/P(A)

95.

Pr(B∣A)=

a)

Pr(B⋂A)/Pr(B)

b)

Pr(B⋂A)/Pr(A)

96.
What is the probability of choosing a Honda? 
a)
.5970
b)
.5373
c)
.4627
d)
.4030
97.
What statement does the shaded region represent
a)
A or B
b)
Not A
c)
A and B
d)
Not B
98.

If you flip a coin two times, is it independent or dependent probability?

a)

Independent

b)

Dependent

99.

If you draw out a red marble, keep it, then draw out a blue marble, is it independent or dependent probability?

a)

Independent

b)

Dependent

100.

What is the probability of flipping a coin twice and landing on tails both times? (leave answer in fraction form in lowest terms)

a)

1/2

b)

2/2

c)

4/1

d)

1/4

101.

If you flip a coin then roll a number cube, is it independent or dependent probability?

a)

Independent

b)

Dependent

102.

What is the probability of picking a blue marble, putting it back in the bag, then picking a red marble? (leave answer in fraction form in lowest terms)

a)

9/49

b)

16/49

c)

12/42

d)

12/49

103.

What is the probability of picking a green marble, keeping it, then picking another green marble? (leave answer in fraction form in lowest terms)

a)

9/49

b)

1/7

c)

3/14

d)

6/42

104.

What is the P(blue)?

(leave answer in fraction form in lowest terms)

a)

1/3

b)

1/6

c)

1/2

d)

2/6

105.

If you spin two times, what is the probability of landing on green both times? (leave answer in fraction form in lowest terms)

a)

1/6

b)

1/9

c)

1/36

d)

1/30

106.

What is the probability of picking a green marble, keeping it, then picking green again? (leave answer in fraction form in lowest terms)

a)

1/7

b)

1

c)

1/49

d)

0

107.

What is the probability of picking a red marble and keeping it, picking another red marble and keeping it, then picking a blue marble? (leave answer in fraction form in lowest terms)

a)

2/105

b)

4/343

c)

2/63

d)

4/210

108.

Sarah has two spinners. Spinner A has six equal sections and spinner B has eight equal sections. Sarah will spin the two spinners at the same time. What is the probability that both spinners will land on a color that is not red? (leave answer in fraction form in lowest terms)

a)

1/6

b)

4/7

c)

1/3

d)

2/6

109.
a)
.2855
b)
.6246
c)
.0922
d)
.3230
110.
What is the probability that they speak French given they are a girl? 
a)
2.14
b)
.24
c)
.4
d)
.8571
111.
What statement does the shaded region represent?
a)
A or B
b)
A and B
c)
A
d)
B
112.
What statement does the shaded region represent
a)
A or B
b)
Not A
c)
A and B
d)
Not B
113.

What is the probability of Occurrence of 'King ',when a card is drawn from a pack of 52 cards.

a)

1/13

b)

1/14

c)

1/15

d)

1/16

114.

The probability of an event 'A'is occurring when it is known that the event 'B' has occurred is called.........

a)

conditional probability of the event 'A'

b)

conditional probability of the event 'B'

c)

None of these

115.

Conditional probability of the event 'A'given that 'B' has occurred is denoted by

a)

P(A|B)

b)

P(B|A)

c)

P(AB)

d)

P(BA)

116.

P(A∪B)=P(A) +P(B)−P(A∩B)P\left(A\cup B\right)=P\left(A\right)\ +P\left(B\right)-P\left(A\cap B\right)  is 

a)

Addition theorem on probability

b)

Multiplication theorem on probability

c)

Conditional theorem on probability

d)

None of these

117.

The occurrence or non-occurrence of an event 'A' is effected on the occurrence or non-occurrence of another event 'B' ,then the events A,B are independent events.

a)

True

b)

False

118.

The formula for the conditional probability of the event 'A' ,given that the event 'B' has occurred is 

a)

P(A|B) =  P(A∩B)P(B)\frac{P\left(A\cap B\right)}{P\left(B\right)}   

b)

P(B|A) =  P(A∩B)P(B)\frac{P\left(A\cap B\right)}{P\left(B\right)}  

c)

P(A|B) =  P(A∩B)P(A)\frac{P\left(A\cap B\right)}{P\left(A\right)}  

d)

None of these

119.

If A,B are independent events ,then P(A|B) =

a)

P(A)

b)

P(B)

c)

P(A∩B)P\left(A\cap B\right)

d)

P(A∪B)P\left(A\cup B\right)

120.
What is the probability of spinning green or blue?
a)
0
b)
5/12
c)
1/2
d)
3/4
121.
What is represented in the Venn diagram?
a)
A
b)
B
c)
A ∪ B
d)
A ∩ B
122.
What is represented in the Venn diagram?
a)
A
b)
B
c)
A ∪ B
d)
A ∩ B
123.
What is represented in the Venn diagram?
a)
A
b)
B
c)
A ∪ B
d)
A ∩ B
124.
What is represented in the Venn diagram?
a)
A
b)
B
c)
A ∪ B
d)
A ∩ B
125.
In a standard deck of 52 cards there are 13 diamonds and 13 hearts (red) and 13 spades and 13 clubs (black).  Find the probability of choosing a card at random that is a spade OR a 7
a)
1/52
b)
1/13
c)
4/13
d)
17/52
126.
find the probability of choosing a student at random that plays an instrument OR a sport
a)
1/2
b)
13/20
c)
21/20
d)
4/5
127.
If you draw one card from a standard deck, what is the probability of drawing a 5 or a diamond?
a)
2/52
b)
4/52
c)
16/52
d)
26/52
128.
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
129.
If you roll one die, what is the probability of getting an even number or a multiple of 3?
a)
1/3
b)
2/3
c)
1/2
d)
1/6
130.
A bag contains 9 green marbles, 5 yellow marbles and 6 red marbles.  You choose one marble.   What is the probability of selecting a green or red marble?
a)
8/15
b)
6/11
c)
3/4
d)
2/3
131.
Given a standard number cube, and the events of rolling an odd number or a 4. Are the events mutually exclusive?
a)

Not Mutually Exclusive

b)
Mutually exclusive
c)
1/2
d)
1/6
132.
What is the relative frequency (to the nearest percent) of boys among those who cannot bike to school? 
a)
4%
b)
14%
c)
13%
d)
29%

Similar Resources on Wayground

Precalculus - Unit 1 - 3 Review

130 questions

Precalculus - Unit 1 - 3 Review

quiz

Worksheet

•

11th - 12th Grade

Algebra 2 S2 17-18 Final Review

135 questions

Algebra 2 S2 17-18 Final Review

quiz

Worksheet

•

10th Grade - University

RLM One and Two Step Equations

134 questions

RLM One and Two Step Equations

quiz

Worksheet

•

9th - 12th Grade

Multiplication Facts Practice

134 questions

Multiplication Facts Practice

quiz

Worksheet

•

3rd Grade - University

Mid Term Review

133 questions

Mid Term Review

quiz

Worksheet

•

10th Grade - University

2022-23 Algebra 2 Exam Review

127 questions

2022-23 Algebra 2 Exam Review

quiz

Worksheet

•

9th - 12th Grade

Zeros of Polynomials Test

135 questions

Zeros of Polynomials Test

quiz

Worksheet

•

9th - 12th Grade

Day 4, Period 1, Makeup

132 questions

Day 4, Period 1, Makeup

quiz

Worksheet

•

9th - 12th Grade