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Worksheets

Probability

Total questions: 100

Worksheet time: 3hrs 24mins

Name
Class
Date
1.

Find P(MM)

a)

42132\frac{42}{132}

b)

35132\frac{35}{132}

c)

20132\frac{20}{132}

d)

1323\frac{13}{23}

2.

Find P(MD)

a)

42132\frac{42}{132}

b)

35132\frac{35}{132}

c)

20132\frac{20}{132}

d)

1323\frac{13}{23}

3.

Find P(DM)

a)

42132\frac{42}{132}

b)

35132\frac{35}{132}

c)

20132\frac{20}{132}

d)

1323\frac{13}{23}

4.

Find P(DD)

a)

42132\frac{42}{132}

b)

35132\frac{35}{132}

c)

20132\frac{20}{132}

d)

1323\frac{13}{23}

5.

Find the probability of picking two blue pens

a)

5690\frac{56}{90}

b)

1690\frac{16}{90}

c)

64100\frac{64}{100}

d)

1590\frac{15}{90}

6.

Find the probability of picking a red pen then a blue pen

a)

5690\frac{56}{90}

b)

1690\frac{16}{90}

c)

16100\frac{16}{100}

d)

1090\frac{10}{90}

7.

Find the probability of picking two red pens

a)

5690\frac{56}{90}

b)

1690\frac{16}{90}

c)

490\frac{4}{90}

d)

290\frac{2}{90}

8.

Find A, the probability that the first counter is Blue

a)

48\frac{4}{8}

b)

37\frac{3}{7}

c)

58\frac{5}{8}

d)

57\frac{5}{7}

9.

Find B, the probability that the first counter is Red

a)

38\frac{3}{8}

b)

37\frac{3}{7}

c)

58\frac{5}{8}

d)

57\frac{5}{7}

10.

Find the probability of selecting two lemon sweets

a)

1018\frac{10}{18}

b)

2581\frac{25}{81}

c)

1681\frac{16}{81}

d)

2081\frac{20}{81}

11.

Find the probability of selecting two strawberry sweets

a)

1018\frac{10}{18}

b)

2581\frac{25}{81}

c)

1681\frac{16}{81}

d)

2081\frac{20}{81}

12.

Find P(SL)

a)

1018\frac{10}{18}

b)

2581\frac{25}{81}

c)

1681\frac{16}{81}

d)

2081\frac{20}{81}

13.

Find P(LL)

a)

0.1

b)

0.01

c)

0.2

d)

0.02

14.

Find P(OL)

a)

0.9

b)

0.09

c)

1.0

d)

0.81

15.

Find P(OO)

a)

0.9

b)

0.81

c)

0.18

d)

0.081

16.

Mrs. Trevino has 3 red pens, 5 pink pens, and 8 blue pens. What is the probability that she will choose a blue pen to grade papers?

a)

1/2

b)

8

c)

3/16

d)

16/8

17.

A bag contains 15 yellow cubes, 6 blue cubes, and 4 red cubes. If you select a cube at random, what is the probability the cube will NOT be yellow?

a)

25/15

b)

2/5

c)

15

d)

5/3

18.

 The cafeteria is serving three kinds of sandwiches:  tuna (T), chicken, (C), and peanut butter (P).  They are also serving a choice of two drinks:  milk (M) or water (W).  Which shows the complete set of possible combinations?

a)

TW,CW,PW

b)

TW, TM, TC, CW, PW

c)

TW, TM, CW, CM, PW, PM

d)

TCP, MW

19.

In a random survey of 50 students at Great Middle School, 32 said chocolate was their favorite flavor of yogurt. The school has 450 students. How many of them are likely to select chocolate as their favorite flavor? 

a)

144

b)

162

c)

225

d)

288

20.

What is the probability of pulling a red marble out of a jar of marbles that have 10 green marbles, 7 red marbles and 3 blue marbles?

a)

1/7

b)

7/20

c)

7/10

d)

3/10

21.

What is the probability of spinning a 2 on the spinner?

a)

1/2

b)

1/3

c)

1/8

d)

1/4

22.

An event with a probability of impossible would be...

a)

0

b)

1/2

c)

2/3

d)

1

23.

An event with a probability of certain would be...

a)

0

b)

1/2

c)

2/3

d)

1

24.

Match the following probabilities:

a)

0

1.

Certain

b)

1

2.

Unlikely

c)

12\frac{1}{2}  

3.

As Likely as Not

d)

between 0 and 12\frac{1}{2}  

4.

Likely

e)

between 12\frac{1}{2}  and 1

5.

Impossible

25.

How many numbers are in the sample space of a number cube?

a)

16\frac{1}{6}  

b)

1

c)

6

d)

21

26.

What is the sample space of flipping a coin?

a)

{1, 2, 3, 4, 5, 6}

b)

{H, T}

c)

50%

d)

22  

27.

What is the probability of rolling an eight on a standard number cube?

a)

1

b)

0

c)

12\frac{1}{2}  

d)

2

28.

What is the probability of drawing a 4 from a standard deck of cards?

a)

113\frac{1}{13}  

b)

1213\frac{12}{13}  

c)

152\frac{1}{52}  

d)

44  

29.

What is the probability of drawing an odd number from a deck of cards?

a)

552\frac{5}{52}  

b)

55  

c)

513\frac{5}{13}  

d)

12\frac{1}{2}  

30.

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

31.

Based on the chart, what is the experimental probability of pulling a green marble?

a)

1/8

b)

8/25

c)

8/100

d)

7/8

32.
A set of all possible outcomes is known as - 
a)
a list
b)
a complement
c)
a sample space
d)
an event
33.

If 33% of the students at Warren Middle School have a pet, then what is the probability of the students who do not have a pet?

a)

33%

b)

77%

c)

67%

d)

50%

34.

What is the probability of spinning green (as a percent)?

a)

30%

b)

20%

c)

25%

d)

50%

35.
a)

23

b)

25

c)

35

d)

50

36.

Anaiah has a spinner. (Refer to the image)


What is her chance of getting an odd number?

a)

Certain

b)

Most Likely

c)

Even Chance

d)

Less Likely

e)

Impossible

37.

Argo has a deck of cards.


What is the probability that he will pick a number card?

a)

Certain

b)

Most Likely

c)

Even Chance

d)

Less Likely

e)

Impossible

38.

There are marbles hidden in a bag. (Refer to the image)

Aidan pulls out one marble without looking.

Which kind of marble is Aidan most likely to pull out?

a)

Striped

b)

Spotty

c)

Grey

d)

White

39.

A box contains 2 red balls and 5 blue balls. Aura picks one ball from the box without looking.


What is the probability that Aura will pick a red ball?

a)

27\frac{2}{7}

b)

57\frac{5}{7}

c)

17\frac{1}{7}

d)

77\frac{7}{7}

40.

Airel rolls a die.
What is the probability that Airel rolls an even number?

a)

35\frac{3}{5}

b)

12\frac{1}{2}

c)

46\frac{4}{6}

d)

13\frac{1}{3}

41.

A box contains 50 marbles of which 8 are yellow, 10 are green, 16 are red and the remaining are blue.

A marble is drawn from the box at random. Find the percent of the probability that the marble drawn is green.

a)

16%

b)

20%

c)

32%

d)

10%

42.

A box contains 50 marbles of which 8 are yellow, 10 are green, 16 are red and the remaining are blue.

A marble is drawn from the box at random. Find the percent of the probability that the marble drawn is blue.

a)

16%

b)

20%

c)

32%

d)

10%

43.

A box contains 50 marbles of which 8 are yellow, 10 are green, 16 are red and the remaining are blue.

A marble is drawn from the box at random. Find the percent of the probability that the marble drawn is not orange.

a)

0%

b)

16%

c)

32%

d)

100%

44.

A regular 6-sided die is to be rolled once. What is the probability that a number less than 3 is rolled?

a)

1/3

b)

1/6

c)

1/2

d)

2/3

45.

A regular 6-sided die is to be rolled once. What is the probability that a number less than or equal to 4 is rolled?

a)

1/2

b)

1/4

c)

5/6

d)

2/3

46.

A coin is to be tossed twice. p(t, t) = ___

a)

1/4

b)

1/2

c)

2

d)

1/8

47.

A spinner has 8 equal regions. Each region is marked with one of the following numbers: 10, 20, 30, 40, 50, 60, 70, 80. What is the probability of an even number being spun on the first roll?

a)

1/8

b)

1/2

c)

1

d)

3/8

48.

A coin is tossed and then a regular 6-sided die is rolled. What is the probability of the resulting outcome being

(tails, even)?

a)

1/2

b)

1/12

c)

1/6

d)

1/4

49.

One card is randomly picked from a regular deck of cards. What is the theoretical probability that the card picked is a jack?

a)

1/13

b)

1/4

c)

3/16

d)

1/10

50.

There are 3 red marbles, 4 blue marbles, 2 green marbles, and 6 clear marbles in a burlap bag. One marble is randomly pulled from the bag. What is the probability the marble was green?

a)

1/2

b)

1/7

c)

2/15

d)

2/17

51.
The chart below represents the number of marbles in a jar.
P(green) = 
a)
5/19
b)
10/28
c)
5/14
52.
P(not A) = 
*Remember to simplify.*
a)
6/8
b)
3/4
c)
2/8
d)
1/4
53.

How many outfits are possible with 2 pairs of jeans, 5 t-shirts, and 2 pairs of shoes?

a)

9

b)

40

c)

20

d)

10

54.
If a dice is rolled 300 times, how many times would you predict a roll of a 1 or a 6?
a)
50
b)
100
c)
150
d)
75
55.
If I flip a coin 10 times, how many times should I get heads?
a)
1
b)
10
c)
3
d)
5
56.
If you spin the spinner 90 times, how many times should the number 3 be selected?
a)
9
b)
15
c)
16
d)
30
57.
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
58.
How do you write 0.02 as a percent?
a)
20%
b)
200%
c)
2%
d)
.02%
59.
Probability can be between what two numbers?
a)
10 and 20
b)
0 and 100
c)
0 and 1
d)
All Numbers are possible
60.
The probability of an event occurring, P(A), can be expressed as a fraction, decimal, or percent.
a)
True
b)
False
61.
What is an outcome?
a)
The result of an experiment
b)
The chance or likelihood of an event
c)
A fraction, decimal, or a percent
d)
An activity that gives various results
62.
Probability is ...
a)
the chance that some event will occur.
b)
a game that involves coins.
c)
a guarantee.
63.
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%
64.
What is the probability of spinning green?
a)
0
b)
1/4
c)
1/2
d)
3/4
65.
Clara picks a marble at random, puts it back, and then picks another marble at random.
a)
Dependent
b)
Independent
66.
How do you write 0.02 as a percent?
a)
20%
b)
200%
c)
2%
d)
.02%
67.
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?  Do you add or multiply probabilities?
a)
Add
b)
Multiply
68.
If you roll one die, what is the probability of getting an odd number or a 4?  Are the events inclusive or mutually exclusive?
a)
Not Mutually Exclusive 
b)
Mutually exclusive
69.
Two events are mutually exclusive if:
a)
they cannot happen at the same time
b)
they can happen at the same time
c)
they always happen 
d)
they never happen 
70.
A bag contains some red-colored and some blue-colored marbles. First a red-colored marble is drawn and then, without replacing the first marble, a blue-colored marble is drawn. Are the two events dependent or independent?
a)
Independent
b)
Dependent
71.
What is the probability of selecting an orange candy?
a)
0%
b)
25%
c)
50%
d)
100%
72.

A coin is tossed and a number cube is rolled. Find the probability, P(heads and 7).

a)

1/14

b)

1/2

c)

0

d)

1/7

73.

Identify if the events are independent or dependent, then calculate the probability. Leave as a fraction.

a)

1249\frac{12}{49}
​

b)

5691\frac{56}{91}
​

c)

4849\frac{48}{49}

d)

4912\frac{49}{12}
​

74.

Identify if the events are independent or dependent, then calculate the probability. Leave as a decimal.

a)

18\frac{1}{8}   

b)

  34\frac{3}{4}  

c)

17\frac{1}{7}  

d)

615\frac{6}{15}  

75.

Identify if the events are mutually exclusive or not mutually exclusive, then calculate the probability. Leave as a fraction.

a)

    512\frac{5}{12}  

b)

    112\frac{1}{12}  

c)

   12121\frac{12}{121}  

d)

   712\frac{7}{12}  

76.

Identify if the events are mutually exclusive or not mutually exclusive, then calculate the probability. Leave as a percentage.

a)

      910\frac{9}{10}  

b)

      710\frac{7}{10}  

c)

     29\frac{2}{9}  

d)

     12\frac{1}{2}  

77.

What is the probability that a randomly selected student prefers athletics given that the student prefers math? Leave as a fraction.

a)

       12\frac{1}{2}  

b)

       310\frac{3}{10}  

c)

      49\frac{4}{9}  

d)

      29\frac{2}{9}  

78.

What is the probability that a randomly selected student wants to be a therapist given that the student has a fear of snakes? Leave as a fraction.

a)

        611\frac{6}{11}  

b)

        13\frac{1}{3}  

c)

       311\frac{3}{11}  

d)

       310\frac{3}{10}  

79.
What is the probability of spinning green?
a)
0
b)
1/4
c)
1/2
d)
3/4
80.
Clara picks a marble at random, puts it back, and then picks another marble at random.
a)
Dependent
b)
Independent
81.
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?  Do you add or multiply probabilities?
a)
Add
b)
Multiply
82.
If you roll one die, what is the probability of getting an odd number or a 4?  Are the events inclusive or mutually exclusive?
a)
Not Mutually Exclusive 
b)
Mutually exclusive
83.
Two events are mutually exclusive if:
a)
they cannot happen at the same time
b)
they can happen at the same time
c)
they always happen 
d)
they never happen 
84.
A bag contains some red-colored and some blue-colored marbles. First a red-colored marble is drawn and then, without replacing the first marble, a blue-colored marble is drawn. Are the two events dependent or independent?
a)
Independent
b)
Dependent
85.
What is the probability of selecting an orange candy?
a)
0%
b)
25%
c)
50%
d)
100%
86.

A coin is tossed and a number cube is rolled. Find the probability, P(heads and 7).

a)

1/14

b)

1/2

c)

0

d)

1/7

87.

Identify if the events are independent or dependent, then calculate the probability. Leave as a fraction.

a)

1249\frac{12}{49}
​

b)

5691\frac{56}{91}
​

c)

4849\frac{48}{49}

d)

4912\frac{49}{12}
​

88.

Identify if the events are independent or dependent, then calculate the probability. Leave as a decimal.

a)

18\frac{1}{8}   

b)

  34\frac{3}{4}  

c)

17\frac{1}{7}  

d)

615\frac{6}{15}  

89.

Identify if the events are mutually exclusive or not mutually exclusive, then calculate the probability. Leave as a fraction.

a)

    512\frac{5}{12}  

b)

    112\frac{1}{12}  

c)

   12121\frac{12}{121}  

d)

   712\frac{7}{12}  

90.

Identify if the events are mutually exclusive or not mutually exclusive, then calculate the probability. Leave as a percentage.

a)

      910\frac{9}{10}  

b)

      710\frac{7}{10}  

c)

     29\frac{2}{9}  

d)

     12\frac{1}{2}  

91.

What is the probability that a randomly selected student prefers athletics given that the student prefers math? Leave as a fraction.

a)

       12\frac{1}{2}  

b)

       310\frac{3}{10}  

c)

      49\frac{4}{9}  

d)

      29\frac{2}{9}  

92.

What is the probability that a randomly selected student wants to be a therapist given that the student has a fear of snakes? Leave as a fraction.

a)

        611\frac{6}{11}  

b)

        13\frac{1}{3}  

c)

       311\frac{3}{11}  

d)

       310\frac{3}{10}  

93.

What color are you MOST likely to land on?

a)

pink

b)

green

c)

yellow

d)

blue

94.

How likely is it that summer will come?

a)

Certain

b)

Likely

c)

Unlikely

d)

Impossible

e)

Equally likely

95.
What is the probability of the spinner landing on an odd number?
a)
4/8
b)
4/4
c)
1/4
d)
1/3
96.

What result is least likely?

a)

Blue

b)

Red

c)

Yellow

d)

Purple

97.

If you were picking from a bag, which two tiles are equally likely?

a)

B and D

b)

A and D

c)

H and D

d)

M and D

98.
Which color marble is least likely to be pulled from the jar?
a)
Green 
b)
Red
c)
Blue
99.

Mrs. Trevino has 3 red pens, 5 pink pens, and 8 blue pens. What is the probability that she will choose a blue pen to grade papers?

a)

1/2

b)

8

c)

3/16

d)

16/8

100.

An event with a probability of equally likely as unlikely would be...

a)

0

b)

1/2

c)

2/3

d)

1