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SO many questions: Basic Probability

Total questions: 83

Worksheet time: 4hrs 39mins

Name
Class
Date
1.
Determine whether the event is impossible, unlikely, as likely as not, likely, or certain. You flip a fair coin and the coin will land heads up.
a)
impossible
b)
unlikely
c)
even chance
d)
likely
2.
What is the probability of rolling 15 with a pair of dice?
a)
impossible
b)
unlikely
c)
equally likely
d)
likely
3.
What is the probability of spinning the spinner and landing on the 7?
a)
impossible
b)
equally likely 
c)
unlikely 
d)
very likely 
4.
What is the probability of spinning an odd number? 
a)
even chance
b)
likely 
c)
certain
d)
impossible 
5.
A probability near 1 is _______.
a)
never going to happen 
b)
very likely to happen
c)
probably never going to happen
d)
 equally likely to happen
6.
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
7.
Probability can be written as ...
a)
a fraction
b)
a decimal
c)
a percent
d)
all of the above
8.
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
9.
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
10.
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%
11.
A bag has 3 red marbles, 2 blue and 4 yellow. What is the theoretical probability of pulling a red?
a)
3/10
b)
3/9
c)
1/9
d)
3/8
12.
What is the probability of spinning red?
a)
0
b)
5/12
c)
1/2
d)
3/4
13.
What is the probability of spinning green or blue?
a)
0
b)
5/12
c)
1/2
d)
3/4
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.
Find the experimental probability:
Roll dice:  1, 3, 3, 4, 4
Rolling a 1?
a)
3/5
b)
1/6
c)
2/5
d)
1/5
16.
Find the experimental probability:
Roll dice:  1, 3, 3, 4, 4
Rolling a 1?
a)
3/5
b)
1/6
c)
2/5
d)
1/5
17.
What is the Theoretical Probability of landing on red?
a)
43%
b)
33.3%
c)
40%
d)
36%
18.
A jar contains 2 pink, 6 red, and 4 blue marbles. If you pick one marble without looking, what is the probability that the marble you pick will be red or blue?
a)
5/6
b)
1/2
c)
1/3
d)
1/6
19.
The chart below represents the number of marbles in a jar.
P(green) = 
a)
5/19
b)
10/28
c)
5/14
20.
Determine the likelihood of the following event: 
Drawing a red card from a standard deck of cards
a)
1/2
b)
13/52
c)
1/4
d)
4/52
21.
P(not A) = 
*Remember to simplify.*
a)
6/8
b)
3/4
c)
2/8
d)
1/4
22.
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
23.
How many senior boys play football and wrestle?
a)
9
b)
12
c)
18
d)
39
24.
How many senior boys play football but do not wrestle?
a)
9
b)
12
c)
18
d)
104
25.
How many senior boys play football or wrestle?
a)
9
b)
21
c)
30
d)
39
26.
What does the shaded portion of the Venn diagram represent?
a)
Not p
b)
p or q
c)
p and q
d)
Not q
27.
What does the shaded portion of the Venn diagram represent?
a)
Band and Art
b)
Only Art
c)
Band or Art
d)
Neither
28.

What is the probability that someone plays basketball?

a)

.50

b)

.68

c)

.52

d)

.46

29.
What statement does the shaded region represent?
a)
A or B
b)
A and B
c)
A
d)
B
30.
What statement does the shaded region represent?
a)
A or B
b)
Not B
c)
Not A
d)
Not A or B
31.

Identify the shaded area...

a)

A

b)

B

c)

A'

d)

B'

32.

Identify the shaded area...

a)

A

b)

B

c)

A'

d)

B'

33.

Identify the shaded area...

a)

A

b)

B

c)

A'

d)

B'

34.

Identify the shaded area...

a)

A∩B

b)

A∪B

c)

A'∩B'

d)

A'∪B'

35.

Identify the shaded area...

a)

A∩B

b)

A∪B

c)

A'∩B'

d)

A'∪B'

36.

Identify the shaded area...

a)

A∩B

b)

A∪B

c)

A'∩B'

d)

A'∪B'

37.

Identify the shaded area...

a)

A'∩B

b)

A∩B'

c)

A∪B'

d)

A'∪B

38.

Identify the shaded area...

a)

A'∩B

b)

A∩B'

c)

A∪B'

d)

A'∪B

39.

The diagram shows the sports played by 80 students.


If a student is picked at random, what is the probability that they play football?

a)

66/80

b)

4/80

c)

18/80

d)

49/80

40.

The diagram shows the sports played by 80 students.


If a student is picked at random, what is the probability that they play football only?

a)

66/80

b)

4/80

c)

18/80

d)

49/80

41.

The diagram shows the sports played by 80 students.


If a student is picked at random, what is the probability that they play Hockey and Rugby?

a)

36/80

b)

5/80

c)

41/80

d)

44/80

42.

The diagram shows the sports played by 80 students.


If a student is picked at random, what is the probability that they play any of the three sports?

a)

79/80

b)

1/80

c)

74/80

d)

6/80

43.

The diagram shows the sports played by 80 students.


If a student is picked at random, what is the probability that they don't play Rugby?

a)

24/80

b)

77/80

c)

23/80

d)

17/80

44.
The numbers 0, 1, 2, 3, ... are called
a)
whole numbers
b)
integers
c)
rational numbers
d)
natural numbers
45.
Numbers like -3, -2, -1, 0, 1, 2, 3 are called
a)
whole numbers
b)
integers
c)
rational numbers
d)
natural numbers
46.

Which number would be located in the shaded area of the diagram? STAAR

a)

-1.7

b)

-8

c)

0.66

d)

10

47.

The Purpose of Venn Diagrams is to.....

a)

show an overlap in data

b)

confuse the reader

c)

show the frequency of one object

d)

find the angles in a circle

48.

What is a set?

a)

A collection of objects with similar characteristics

b)

A collection of objects with no similarities

c)

A collection of objects with different characteristics

d)

A collection of objects

49.

Union is denoted by

a)

A ∪ B

b)

A ∪ B'

c)

A ∩ B'

d)

A ∩ B

50.

Intersection is denoted by

a)

A ∩ B'

b)

A ∪ B

c)

A ∩ B

d)

A ∪ B'

51.

What is a complement Set A?

a)

The elements that belong to U

b)

The elements that belong to U and to set “A”

c)

The elements that do not belong to U and do not belong to set “A”

d)

The elements that belong to U and do not belong to set “A”

52.

Complement is denoted by

a)

A′

b)

A-B

c)

A∪B

53.

How many cats and dogs are there?

a)

18

b)

10

c)

7

d)

30

54.

How many trucks are there total?

a)

60

b)

20

c)

80

d)

25

55.

How many students participate in drama and music class?

a)

7

b)

9

c)

15

d)

16

56.
What statement does the shaded region represent?
a)
A' ∩ B
b)
A ∩ B'
c)
A' ∪ B
d)
A ∪ B'
57.
What statement does the shaded region represent?
a)
A' ∩ B
b)
A ∩ B'
c)
A ∩ B
d)
A' ∩ B'
58.
Which age group liked Action movies the least?
a)
18-25
b)
25-49
c)
50+
d)
238
59.
How many total people were surveyed about what ice cream flavor they would pick?
a)
107
b)
92
c)
70
d)
269
60.
The tree diagram shows the outcomes of rolling a die and flipping a coin.  
How many total outcomes are there?  
a)
6
b)
12
c)
24
d)
36
61.
The image represents which of the following?
a)
intersection, "and"
b)
intersection, "or"
c)
union, "and"
d)
union, "or"
62.
The image represents which of the following?
a)
intersection, "and"
b)
union, "or"
c)
intersection, "or"
d)
union, "and"
63.
a)
b)
c)
64.

shade the required region   

a)
b)
c)
65.

Shade the required region

a)
b)
c)
66.

Shade the required region

a)
b)
c)
67.

Use set notation to describe the shaded regions

a)

AA

b)

AUBAUB

c)

B′B'

68.

Use set notation to describe the shaded regions

a)

AUB′AUB'

b)

B′UAB'UA

c)

B′∩AB'\cap A

69.
What statement does the shaded region represent?
a)
A' ∩ B
b)
A ∩ B'
c)
A' ∪ B
d)
A ∪ B
70.
What does the shaded region represent?
a)
A ⊆ B
b)
A ∪ B
c)
A ∩ B
d)
B' ∩ A
71.

Match the appropriate description with the probability of 40%

a)

Certain

b)

Highly likely

c)

Impossible

d)

Unlikely

72.

In a bag, there are: 4 green socks, 6 yellow socks and 4 blue socks. What is the probability of choosing a blue sock

a)

 414\frac{4}{14}  

b)

 614\frac{6}{14}  

c)

 1014\frac{10}{14}  

d)

 27\frac{2}{7}  

73.

In a bag, there are: 4 green socks, 6 yellow socks and 4 blue socks. What is the probability of choosing neither green or yellow socks?

a)

25\frac{2}{5}

b)

610\frac{6}{10}

c)

45\frac{4}{5}

d)

35\frac{3}{5}

74.

The probability of winning a competition is  49100\frac{49}{100}  . What is the probability of losing?

a)

 49100\frac{49}{100}  

b)

 51100\frac{51}{100}  

c)

 10049\frac{100}{49}  

d)

 12\frac{1}{2}  

75.

What is the probability of tossing heads and tails in that order?

a)

12\frac{1}{2}

b)

14\frac{1}{4}

c)

24\frac{2}{4}

d)

34\frac{3}{4}

76.
According to the diagram, which is true?
a)
No bushes are flowering plants.
b)
No roses are bushes.
c)
Some roses are not flowering plants.
d)
Some flowering plants are bushes.
77.
According to the diagram, which is true?
a)
All rectangles are rhombi.
b)
Some rhombi are rectangles.
c)
Quadrilaterals are not rhombi or rectangles.
d)
All quadrilaterals are rhombi and rectangles.
78.

A survey was conducted to see what type of car was preferred. 

U = {the 240 people surveyed}

M = {the 60 people that were male}

S = {the 156 people that preferred a SUV}

How many people are in the set S ∩∼MS\ \cap\sim M  ?

a)

156

b)

201

c)

135

d)

21

79.
What type of set is denoted as either { } or ∅?
a)
Universal Set
b)
Empty (or Null) Set
c)
Disjointed Set
d)
Complement of a Set
80.

What does this symbol ( ∪ ) represent in set theory?

a)

Union

b)

Intersection

c)

Disjointed

d)

Subset

81.
Which is the correct set notation for A U B?
a)
{12, 14, 15, 18, 21}
b)
{10, 11, 12, 14, 15, 18, 21}
c)
{10, 11, 13, 16, 17, 19, 20}
d)
{12, 14, 15}
82.
A = {1, 3, 5, 7, 9}
B = {2, 3, 5, 7}
What is A ∩ B ?
a)
{3, 5, 7}
b)
{2, 3, 5, 7}
c)
{2, 3, 5, 7, 9}
d)
{1, 2, 3, 5, 7, 9}
83.
What does this symbol ( ∩ ) represent in set theory?
a)
Union
b)
Intersection
c)
Disjointed
d)
Subset

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