Free Printable Probability Unit 5

1.

Probability is ...

a)

the chance that some event will occur.

b)

a game that involves coins.

c)

a guarantee.

2.

Probability can be written as ...

a)

a fraction

b)

a decimal

c)

a percent

d)

all of the above

3.

The chart below represents the number of marbles in a jar.
P(green) =

a)

5/19

b)

10/28

c)

5/14

4.

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

5.

What is the sample space?

a)

6 bears

b)

orange, green, red, white, yellow

c)

unlikely

d)

2 red bears

6.

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

7.

$\frac{4}{10}$ as a decimal

a)

0.04

b)

4

c)

0.4

8.

Write $\frac{9}{10}$ as a decimal

a)

0.09

b)

1.09

c)

0.9

9.

Convert $\frac{4}{25}$ to a decimal.

a)

0.20

b)

0.16

c)

4.25

d)

0.25

10.

A box has 3 limes, 5 grapes, and 2 oranges.

What is the probability of choosing an orange?

a)

0.3

b)

0.5

c)

0.2

d)

2.35

11.

What is the probability of spinning an even number?

a)

0.25

b)

0.33

c)

0.5

d)

0.75

12.

What is the probability of the spin stopping on yellow?

a)

0.25

b)

0.4

c)

0.5

d)

0.75

13.

What is the probability of spinning green?

a)

0

b)

0.25

c)

0.5

d)

0.75

14.

What is the probability you land on purple?

(round to 2 decimal places)

a)

0.10

b)

0.7

c)

0.14

d)

0.4

15.

What is the probability you land on green or yellow? (round to 2 decimal places)

a)

0.7

b)

0.29

c)

0.2

d)

0.28

16.

What is the probability you land on black?

a)

0

b)

0.1

c)

1.0

d)

7.0

17.

What is the probability you land on 3? (round to 2 decimal places)

a)

0.3

b)

0.34

c)

0.30

d)

0.33

18.

What is the probability you land on a number less than 6?

a)

1

b)

0.6

c)

0.9

d)

0

19.

What is the probability you land on gray or 3? (round to 2 decimal places)

a)

1.0

b)

0.2

c)

0.33

d)

0.56

20.

What is the probability you land on white?

a)

1.0

b)

0.0

c)

0.33

d)

0.1

21.

What is the probability of rolling 15 with a pair of dice?

a)

impossible

b)

unlikely

c)

equally likely

d)

likely

22.

What is 34 % as a decimal?

a)

0.34

b)

0.034

c)

3.4

d)

3.0034

23.

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

24.

What is the probability of spinning an even number?

a)

16 2/3%

b)

33 1/3%

c)

50%

d)

75%

25.

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

26.

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

27.

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

28.

What is the probability of selecting an orange candy?

a)

0%

b)

25%

c)

50%

d)

100%

29.

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

30.

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

a)

$\frac{12}{49}$

b)

$\frac{56}{91}$

c)

$\frac{48}{49}$

d)

$\frac{49}{12}$

31.

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

a)

$\frac{5}{12}$

b)

$\frac{1}{12}$

c)

$\frac{12}{121}$

d)

$\frac{7}{12}$

32.

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

a)

$\frac{9}{10}$

b)

$\frac{7}{10}$

c)

$\frac{2}{9}$

d)

$\frac{1}{2}$

33.

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

a)

$\frac{1}{2}$

b)

$\frac{3}{10}$

c)

$\frac{4}{9}$

d)

$\frac{2}{9}$

34.

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)

$\frac{6}{11}$

b)

$\frac{1}{3}$

c)

$\frac{3}{11}$

d)

$\frac{3}{10}$

35.

Three out of ten people chose art as their favorite elective. How would 3/10 be converted into a decimal?

a)

3/10 = .310

b)

3/10 = 30.

c)

3/10 = .3

d)

3/10 = 3.00

36.

Draw one card from a standard deck. Find P(diamond)

a)

8%

b)

25%

c)

31%

d)

2%

37.

Draw one card from a standard deck. Find P(ace)

a)

1/13

b)

1/4

c)

4/13

d)

1/52

38.

Roll a die one time. Find P(even number).

a)

1/2

b)

1/3

c)

3/6

d)

2/6

39.

Roll a die one time. Find P(rolling a 4).

a)

1/4

b)

2/3

c)

1/6

d)

1/2

40.

What is the experimental probability that the next time the number cubes are rolled, they will land with a 2 showing on the top face of one number cube and a 4 showing on the top face of the other number cube?

a)

3/10

b)

11/20

c)

9/20

d)

1/36

41.

What is the probability that all three number cubes will land on an odd number?

a)

1/2

b)

1/6

c)

1/3

d)

1/8

42.

What is the probability of spinning a number greater than 4?

a)

1/6

b)

2/3

c)

1/2

d)

1/3

43.

What is the probability in decimal form that the tile selected will be green?

44.

What is the probability that the first student who enters the classroom will be assigned a seat in the front row?

a)

2/5

b)

2/3

c)

4/11

d)

4/15

45.

What is the experimental probability that the next time the number cube is rolled it will land with 5 or 6 showing on the top face?

a)

2/5

b)

3/20

c)

1/3

d)

3/5

46.

What is the probability that Tara will select a blue marble from each bag?

a)

5/9

b)

1/135

c)

1/6

d)

2/27

47.

What is the probability that the first guest to arrive will be seated at a table with a red tablecloth?

a)

1/2

b)

1/3

c)

1/4

d)

1/8

48.

What is the probability that he will choose a can of tomato soup and then a can of cheese soup?

a)

2/5

b)

2/45

c)

1/25

d)

1/5

49.

What is the probability that Roberto will choose an adventure book?

a)

1/3

b)

1/18

c)

1/5

d)

1/6

50.

What is the probability that Mildred will select a dime first and then a penny?

a)

83/120

b)

11/16

c)

5/128

d)

1/24

51.

Which statement is true?

a)

The golf ball is more likely to be green than all other colors combined.

b)

The golf ball is equally likely to be pink, white, orange, or green.

c)

The golf ball is 2 times as likely to be orange as it is to be pink.

d)

The golf ball is 7 times as likely to be green as it is to be white.

52.

The ratio of the number of times an event occurred compared to the total number of trials conducted is known as -

a)

theoretical probability

b)

experimental probability

c)

simple probability

d)

compound probability

53.

The number of ways an event can occur divided by the total number of outcomes is known as -

a)

an event complement

b)

experimental probability

c)

an event

d)

theoretical probability

54.

Which of the following expressions would be used to calculate the complement of an event occurring?

a)

P(event) - 1

b)

P(event 1) x P(event 2)

c)

P(event)/possible outcomes

d)

1 - P(event)

55.

P(A) + P(not A) = 1

a)

True

b)

False

56.

The likelihood that an event will NOT occur is known as its -

a)

complement

b)

sample space

c)

opposite

d)

trial

57.

In compound probability, if one event does not affect the other event or events, it is referred to as -

a)

theoretical probability

b)

independent probability

c)

experimental probability

d)

dependent probability

58.

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

59.

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%

60.

What is the probability of choosing a black marble?

a)

Certain

b)

Likely

c)

Unlikely

d)

Impossible

61.

Earl is asked to choose a day of a week. What is the probability of choosing a day which starts with S?

a)

1/7

b)

2/7

c)

3/7

d)

1

62.

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

63.

P(not A) =
*Remember to simplify.*

a)

6/8

b)

3/4

c)

2/8

d)

1/4

64.

What is the probability of spinning green?

a)

0

b)

1/4

c)

1/2

d)

3/4

65.

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

66.

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

a)

0

b)

1/2

c)

2/3

d)

1

67.

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

a)

0

b)

1/2

c)

2/3

d)

1

68.

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

a)

0

b)

1/2

c)

2/3

d)

1

69.

Write 1/4 as a decimal.

a)

0.25

b)

0.4

c)

0.14

d)

1.4

70.

Write 3/8 as a decimal.

a)

0.375

b)

0.38

c)

3.8

d)

0.3

71.

What is the probability of rolling a 2 on a dice AND pulling a spade out of a deck of cards?

a)

1 ⁄ 10

b)

1 ⁄ 12

c)

1 ⁄ 24

d)

1 ⁄ 6

72.

Classify each pair of events as dependent or independent.
Roll a number cube. Then toss a coin.

a)

Independent

b)

Dependent

73.

P(B or E) =
*Remember to simplify.*

a)

1/2

b)

1/4

c)

1/8

d)

4/8

74.

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

75.

A jar contains 4 white chips, 5 purple chips, and 1 black chip. Chips are selected randomly one at a time, and are not replaced.
P(white, then purple, then black)

a)

1/36

b)

2/39

c)

5/41

d)

6/43

76.

Find the relative frequency of spinning Letter Q.

a)

15/15

b)

3/10

c)

3/50

d)

7/10

77.

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

78.

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

79.

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

80.

What is the probability of spinning green or blue?

a)

0

b)

5/12

c)

1/2

d)

3/4

81.

What is the probability of spinning red?

a)

0

b)

5/12

c)

1/2

d)

3/4

82.

What is the probability of spinning green?

a)

0

b)

1/4

c)

1/2

d)

3/4

83.

Find the probability of rolling a 7 on a single die.

a)

1/6

b)

7/6

c)

0

d)

7/7

84.

What is the probability of spinning an even number?

a)

16 2/3%

b)

33 1/3%

c)

50%

d)

75%

85.

The venn diagram shows the number of people in a group of friends who have brown hair and green eyes.

What is the probability of a friend having brown hair?

a)

3

b)

1

c)

4

d)

4/11

86.

What is the probability that someone plays basketball?

a)

.50

b)

.68

c)

.52

d)

.46

87.

How many senior boys play football but do not wrestle?

a)

9

b)

12

c)

18

d)

104

88.

How many senior boys play football and wrestle?

a)

9

b)

12

c)

18

d)

39

89.

How many cats and dogs are there?

a)

18

b)

10

c)

7

d)

30

90.

What is the probability that someone plays basketball?

a)

.50

b)

.68

c)

.52

d)

.46

91.

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 any of the three sports?

a)

⁷⁹/₈₀

b)

¹/₈₀

c)

⁷⁴/₈₀

d)

⁶/₈₀

92.

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

93.

Find the probability of getting a red shape.

a)

$\frac{5}{9}$

b)

$\frac{3}{9}$

c)

$\frac{1}{3}$

94.

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

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

95.

What is the probability a randomly selected student is male and has a provisional license?

a)

14/60

b)

26/60

c)

14/120

d)

26/120

96.

What is the probability a randomly selected student has no license?

a)

20/60

b)

32/120

c)

20/32

d)

20/59

97.

What is the probability that someone plays basketball?

a)

.50

b)

.68

c)

.52

d)

.46

98.

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

99.

What is P(B)? Round to three decimal places if necessary written as 0.123.

(a)

100.

What is P(A)? Round to three decimal places if necessary written as 0.123.

(a)

Probability Unit 5

Total questions: 100

Worksheet time: 5hrs 58mins

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