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Probability

Total questions: 110

Worksheet time: 4hrs 40mins

Name
Class
Date
1.

A regular 6-sided die is to be rolled one time. What is the probability that the number 5 is rolled?

a)

1/5

b)

5/6

c)

1/6

d)

6/5

2.

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

3.

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

4.

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

a)

1/4

b)

1/2

c)

2

d)

1/8

5.

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

6.

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

7.

How many cards are in a standard deck of cards?

a)

52

b)

56

c)

64

d)

42

8.

How many red cards are in a standard deck of cards?

a)

16

b)

20

c)

26

d)

13

9.

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

10.

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

11.

Sarah, Sammie, Victor, Vicki, and Valerie are in math group. Two students are randomly picked to be the co-leaders. What is the probability that the students picked were Sammie and Victor?

a)

1/25

b)

2/5

c)

1/5

d)

1/20

12.

Sarah, Sammie, Victor, Vicki, Valerie are in a math group. Two students are randomly chosen to be co-leaders. What is the probability that both students' names begin with the letter V?

a)

3/5 times 3/5 = 9/25

b)

3/5 times 1/2 = 3/10

c)

1/5 times 2/5 = 2/15

d)

3/5 times 1/4 = 3/20

13.
What is the probability that the person picked will be a boy given they speak german? 
a)
.7273
b)
.4
c)
.16
d)
.22
14.
What is the probability that a female is chosen given they like a Toyota? 
a)
.525
b)
.4627
c)
.6774
d)
.3143
15.
What is the probability that they speak French given that they are a girl? 
a)
2.14
b)
.24
c)
.4
d)
.8571
16.
What is the probability that a student plays an instrument?
a)
.55
b)
.5
c)
.45
d)
.4
17.
Bag A contains 9 red marbles and 3 green marbles. Bag B contains 9 black marbles and 6 orange marbles. Find the probability of selecting one green marble from bag A and one black marble from bag B.
a)
3/20
b)
1/4
c)
3/31
d)
2/27
18.
A day in the year is randomly chosen. Given the day is in the month of December, what is the probability the day is the 25th? (December has 31 total days.)
a)
8.5%
b)
8.84%
c)
80.6%
d)
3.2%
19.
A box contains 5 purple marbles, 3 green marbles and 2 orange marbles. Draws are made without replacement. P(1st orange then green)
a)
1/15
b)
2/15
c)
3/31
d)
1/5
20.
A box contains 5 purple marbles, 3 green marbles and 2 orange marbles. Draws are made without replacement.P(both marbles are purple)
a)
2/9
b)
1/3
c)
1/2
d)
1/4
21.
There are six nickels and seven dimes in your pocket. You randomly pick a coin out of your pocket and then return it to your pocket. Then you randomly pick another coin.  What is the probability that the coin is a nickle both times?
a)
36/169
b)
6/13
c)
5/16
d)
3/19
22.
A basket contains four apples and six peaches. You randomly select one piece of fruit and eat it. Then you randomly select another piece of fruit. What is the probability that both pieces of fruit are apples.
a)
2/15
b)
3/17
c)
1/19
d)
6/21
23.
There are seven boys and seven girls in a class. The teacher randomly selects one student to answer a question. Later, the teacher randomly selects a different student to answer another question. What is the probability that the first student is a boy and the second student is a girl?
a)
7/26
b)
1/2
c)
2/17
d)
8/29
24.
Which is the best way to represent answering 25 multiple-choice questions with 4 choices for each answer?
a)
spin a spinner with four sections 25 times
b)
roll a die 25 times
c)
flip a coin 25 times
d)
roll a die 4 times
25.
A certain brand of TV has a 50% chance of being defective. Which model could be used to determine the probability that when two TVs are chosen, they will both be defective?
a)
spin a spinner with 4 equal sections
b)
roll a die twice
c)
flip a coin twice
d)
flip a coin, then roll a die
26.
Samuel has 5 different colors of pens and 2 different colors of paper. Which model could be used to show how many different choices he has?
a)
spin a spinner with 5 sections, then flip a coin
b)
roll a die 5 times
c)
flip a coin 5 times
d)
roll a die, then flip a coin 5 times
27.
What statement does the shaded region represent
a)
A or B
b)
Not A
c)
A and B
d)
Not B
28.
What is P(Foreign language | Sport)?
a)
14/27
b)
7/12
c)
23/47
d)
37/47
29.
How many senior boys play football or wrestle?
a)
9
b)
21
c)
30
d)
39
30.
What percentage of the days that it rained, did they forecast no rain?
a)
About 20%
b)
About 18%
c)
About 14%
d)
About 12%
31.
What percentage of girls have blonde hair?
a)
30%
b)
32%
c)
29%
d)
40%
32.
A bag contains 5 red marbles and 4 pink marbles. A marble is randomly drawn and then replaced. What is the probability the first marble is pink and the second is red?
a)
26.9%
b)
24.7%
c)
20.0%
d)
5%
33.
A store sells shirts that are either small, medium, or large. The colors are either red, blue, green, or white. What is the probability someone will select a large green shirt?
a)
1/3
b)
1/7
c)
1/9
d)
1/12
34.
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
35.
P(not A) = 
*Remember to simplify.*
a)
6/8
b)
3/4
c)
2/8
d)
1/4
36.
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)
1/3
37.
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
38.
The spinner is divided into eight equal parts. Find the theoretical probability of landing on the given section of the spinner.P(white)=
a)
1/8
b)
5/8
c)
7/8
d)
3/7
39.
Andrew picks one marble at a time from a box and replaces it. He repeats this process 25 times and records the results in the table. Based on the table, which color marble has an experimental probability of 1/5?
a)
Yellow
b)
Red
c)
Blue
d)
Green
40.
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
41.
Find the probability of rolling a 7 on a single die.
a)
1/6
b)
7/6
c)
0
d)
7/7
42.
Robin has five different pairs of shoes that match with 6 different pairs of socks.  How many shoes-and-socks combinations can she make if she selects one pair of shoes and one pair of socks?
a)
1
b)
30
c)
5!
d)
6!
43.
Find the probability that a randomly chosen point in the figure lies in the shaded region.
a)
94.8%
b)
80%
c)
60%
d)
45.6%
44.
If a stone is dropped at random on the arrangement of tiles shown, what is the probability the stone lands on a black tile?
a)
5/9
b)
4/9
c)
1/2
d)
1/9
45.
Find the probability that the spinner lands on Bonus Card when spun.
a)
.44
b)
.22
c)
.14
d)
.17
46.
Experimental Probability is:
a)
What Will happen 
b)
What actually happens
c)
What should happen
d)
What I think Happens
47.
Theoretical Probability is?
a)
What Should happen
b)
What does happen
c)
What Will Happen
d)
What I want to Happen
48.
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
49.
The chart below represents the number of marbles in a jar.
P(green) = 
a)
5/19
b)
10/28
c)
5/14
50.
What is the probability of selecting an orange candy?
a)
0%
b)
25%
c)
50%
d)
100%
51.
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%
52.

A die is labeled with the sides below. Which number will most likely appear facing up when the die is rolled?

a)

1

b)

2

c)

3

d)

4

53.

If Mariana spins this spinner, she will MOST likely land on –

a)

orange

b)

blue

c)

red

d)

yellow

54.

Genesis is going to choose a prize out of the box. She will most likely pull out a –

a)

ball

b)

block

c)

candy

d)

cupcake

55.

Which item is impossible for Genesis to choose out of the prize box?

a)

ball

b)

block

c)

candy

d)

cupcake

56.

Evan has 6 red marbles and 2 green marbles in a bag. What is the likelihood of him choosing a green marble?

a)

certain

b)

likely

c)

unlikely

d)

impossible

57.

Jazlyn has 4 quarters, 10 dimes, and 3 nickels in her wallet. What is the likelihood of her choosing a penny?

a)

certain

b)

likely

c)

unlikely

d)

impossible

58.

What color are you MOST likely to land on?

a)

pink

b)

green

c)

yellow

d)

blue

59.

What is the likelihood of choosing a marble with a X or O on it?

a)

certain

b)

impossible

c)

likely

d)

unlikely

60.

Miss Riley is giving out candy. She has tootsie rolls, dumdums, and jolly ranchers. What is the likelihood that someone will get smarties?

a)

certain

b)

likely

c)

unlikely

d)

impossible

61.

Jamie is picking a marble from a jar. There are 10 green marbles and 10 yellow marbles. What is the likelihood of Jamie picking a yellow marble?

a)

certain

b)

likely

c)

unlikely

d)

impossible

e)

equally likely

62.
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
63.

What is the P( not purple) on this spinner?

a)

2/5

b)

1/5

c)

4/5

d)

3/5

64.

Clara picks a marble at random from a bag of 30 marbles, puts it back, and then picks another marble at random. This example is ________________.

a)

Dependent

b)

Independent

65.

Victor picks a card at random from a standard deck. Without putting the first card back, he picks a second card at random. This example is ___________________.

a)

Dependent

b)

Independent

66.

Determine if the events are mutually exclusive or overlapping: Rolling a 6 or an odd number

a)

Mutually exclusive

b)

Overlapping

67.

Determine if the events are mutually exclusive or overlapping: Drawing a red or an ace from a deck of cards

a)

Mutually exclusive

b)

Overlapping

68.

You flip a nickel three times.

Find the probability that all flips will land on tails.

a)

1/2

b)

1/4

c)

1/6

d)

1/8

69.

What is the probability of spinning green?

a)

1/3

b)

1/4

c)

1/2

d)

3/11

70.

The letters that form the word MATHEMATICS are placed individually in a bowl. When selecting a letter from the bowl, what is the probability of choosing a vowel?

a)

16/121

b)

4/11

c)

3/11

d)

5/11

71.

40% of students in a school wore blue on a Spirit Day. If two students are randomly selected, what is the probability that both students will not be wearing blue?

a)

0.16

b)

0.36

c)

0.24

d)

0.60

72.

When would you expect the experimental probability of an event to get closer to equaling the theoretical probability of the event?

a)

When there are exactly 50 trials in the experiment.

b)

The fewer the number of trials in the experiment.

c)

The larger the number of trials in the experiment.

d)

This can't be determined.

73.

If event A and event B are independent, then which of the following is true?

a)

P(A) = P(B)

b)

P(A | B) = P(B)

c)

P(A | B) = P(A)

d)

P(A and B) = P(A) + P(B)

74.
A coin and a number cube with the numbers 1 through 6 are tossed. What is the probability of the coin showing tails and the number cube showing the number 3? 
a)
1/12
b)
1/4
c)
1/8
d)
1/2
75.

Find P(diamond or face card)?

a)

11/26

b)

25/52

c)

3/52

d)

21/52

76.

Two cards are chosen at random from a standard deck of 52 cards without replacement. What is the probability of choosing two kings?

a)

1/26

b)

1/69

c)

1/221

d)

4/663

77.
Jamie has 3 raffle tickets. One hundred tickets were sold. Her name was not drawn for the first prize. What is the probability that her name will be drawn for the second prize?
a)
1/3
b)
1/33
c)
3/100
d)
2/99
78.

Berry rolls two number cubes. What is the probability that the sum of the two number cubes will be less than 5?

a)

1/4

b)

1/12

c)

1/9

d)

1/6

79.

Find the probability of choosing a student at random that plays an instrument OR a sport.

a)

2/5

b)

13/20

c)

11/20

d)

4/5

80.

What is the probability that the person picked will be a boy given they speak German?

a)

8/11

b)

2/5

c)

4/25

d)

3/11

81.
a)

.2855

b)

.6246

c)

.0922

d)

.3230

82.

P(Pizza|Senior):

a)

1/2

b)

4/5

c)

2/3

d)

1/5

83.

A survey found that 39% of the population owned dogs, 22% owned cats, and 8% of the population owned both a cat and a dog? Find the probability that a person owns a cat or a dog.

a)

0.08

b)

0.53

c)

0.61

d)

0.36

84.
Probability is ...
a)
the chance that some event will occur.
b)
a game that involves coins.
c)
a guarantee.
85.
Probability can be written as ...
a)
a fraction
b)
a decimal
c)
a percent
d)
all of the above
86.

What is the sample space?

a)

6 bears

b)

orange, green, red, white, yellow

c)

unlikely

d)

2 red bears

87.

Action: Choose one sport.

Event: Pick a sport with no ball.

Sample space: football, swimming, baseball, gymnastics

Which outcomes are part of the event?

a)

football

b)

swimming

c)

baseball

d)

gymnastics

88.

Find the experimental probability:

Roll dice: 1, 3, 3, 4, 4

P(1) =

a)

3/5

b)

1/6

c)

2/5

d)

1/5

89.

What color are you most likely to pick?

a)

Red

b)

Blue

c)

Green

d)

Yellow

90.

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

91.

Which color is impossible to pick?

a)

Blue

b)

Yellow

c)

Red

d)

Purple

92.

What color is least likely to be picked?

a)

Green

b)

Black

c)

Light Blue

d)

Red

93.

What result is least likely?

a)

Blue

b)

Red

c)

Yellow

d)

Purple

94.

The chances of each outcome on this spinner are _____.

a)

unlikely

b)

more likely

c)

equally likely

d)

least likely

95.

Which tile is most likely to be picked?

a)

T

b)

E

c)

A

d)

O

96.

It is ________ you will pick red, green, or blue.

a)

unlikely

b)

equally likely

c)

certain

d)

impossible

97.

Which result is least likely?

a)

Pink

b)

Blue

c)

Green

d)

Red

98.
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
99.
What is the probability of spinning red?
a)
0
b)
1/2
c)
3/4
d)
1
100.
The letters that form the word MATHEMATICS are placed in a bowl. What is the probability of choosing a letter that is a vowel?
a)
8/121
b)
4/11
c)
2/11
d)
4/121
101.
Find the probability of drawing a 10 from a standard deck of 52 cards.
a)
1 out of 52
b)
13 out of 52
c)
26 out of 52
d)
4 out of 52
102.
You flip a nickel three times.
Find the probability that all flips will land on tails.
a)
1/2
b)
1/4
c)
1/6
d)
1/8
103.
You spin this spinner 3 times.
Find the probability of these 3 events.
P(red, odd, 3)
a)
1/216
b)
1/72
c)
1/36
d)
1/12
104.
A store sells shirts that are either small, medium, or large. The colors are either red, blue, green, or white. What is the probability someone will select a large green shirt?
a)
1/3
b)
1/7
c)
1/9
d)
1/12
105.

In a drawer, there are 6 white socks, 4 black socks, and 2 brown socks. You pick out a sock, replace it, then pick out a 2nd sock. What is the probability that you will pick a brown, then black sock?

a)

1/11

b)

1/18

c)

1/36

d)

2/33

106.
You roll two die.
What is the probability you will roll a 4, then roll a number less than 3?
a)
1/36
b)
1/18
c)
1/9
d)
1/6
107.

A clothing store sells a t-shirt in 9 different colors, 4 different sizes, and it can be either long-sleeved or short-sleeved. How many different t-shirts can be made at this store?

a)

13

b)

15

c)

36

d)

72

108.

How many different outfits can be made as seen in this tree diagram?

a)

2

b)

3

c)

6

d)

9

109.
A coin and a number cube with the numbers 1 through 6 are tossed. What is the probability of the coin showing tails and the number cube showing the number 3? 
a)
1/12
b)
1/4
c)
1/8
d)
1/2
110.
P(2 then 5) = 
a)
1/6
b)
1/12
c)
1/36

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