Exam Name - EMUbrahms.emu.edu.tr/tut/web/math211/math211_probability.pdf · Exam Name ... A study of 1000 randomly selected flights of a major airline showed that 746 of the flights

Exam

Name___________________________________

MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question.

Provide an appropriate response.

1) A coin is tossed. Find the probability that the result is heads.

A) 0.5 B) 1 C) 0.1 D) 0.9

1)

2) A single six-sided die is rolled. Find the probability of rolling a number less than 3.

A) 0.333 B) 0.5 C) 0.1 D) 0.25

2)

3) A single six-sided die is rolled. Find the probability of rolling a seven.

A) 1 B) 0.1 C) 0 D) 0.5

3)

4) A study of 1000 randomly selected flights of a major airline showed that 746 of the flights arrived

on time. What is the probability of a flight arriving on time?

A)127

500B)

500

373C)

500

127D)

373

500

4)

5) If one card is drawn from a standard deck of 52 playing cards, what is the probability of drawing

an ace?

A)1

2B)

1

13C)

1

4D)

1

52

5)

6) If one card is drawn from a standard deck of 52 playing cards, what is the probability of drawing a

red card?

A)1

13B)

1

2C)

1

52D)

1

4

6)


heart?

A)1

4B) 1 C)

1

2D)

3

4

7)

8) In a survey of college students, 890 said that they have cheated on an exam and 1719 said that they

have not. If one college student is selected at random, find the probability that the student has

cheated on an exam.

A)2609

890B)

2609

1719C)

1719

2609D)

890

2609

8)

9) If an individual is selected at random, what is the probability that he or she has a birthday in July?

Ignore leap years.

A)364

365B)

1

365C)

31

365D)

12

365

9)

1

SHORT ANSWER. Write the word or phrase that best completes each statement or answers the question.

10) The data in the table represent the number of consumer complaints against major U.S.

airlines. If one complaint from the table is randomly selected, find the probability that it

was filed against United Airlines.

Airline Number of Complaints

United 1172

Northwest 765

Continental 563

10)



was filed against Northwest Airlines.


United 1172

Northwest 765

Continental 563

11)



was filed against Continental Airlines.


United 1172

Northwest 765

Continental 563

12)


13) The distribution of blood types for 100 Americans is listed in the table. If one donor is selected at

random, find the probability of selecting a person with blood type A+.

Blood Type O+ O- A+ A- B+ B- AB+ AB-

Number 37 6 34 6 10 2 4 1

A) 0.4 B) 0.68 C) 0.45 D) 0.34

13)


random, find the probability of selecting a person with blood type A+ or A-.


Number 37 6 34 6 10 2 4 1

A) 0.02 B) 0.06 C) 0.4 D) 0.34

14)

2


random, find the probability of not selecting a person with blood type B+.


Number 37 6 34 6 10 2 4 1

A) 0.82 B) 0.90 C) 0.10 D) 0.12

15)


random, find the probability of selecting a person with blood type AB-.


Number 37 6 34 6 10 2 4 1

A) 0.05 B) 0.01 C) 0.99 D) 0.10

16)

17) The distribution of Masterʹs degrees conferred by a university is listed in the table.

Major Frequency

Mathematics 216

English 207

Engineering 85

Business 176

Education 222

What is the probability that a randomly selected student graduating with a Masterʹs degree has a

major of Engineering? Round your answer to three decimal places.

A) 0.988 B) 0.094 C) 0.012 D) 0.906

17)


Major Frequency

Mathematics 216

English 207

Engineering 86

Business 176

Education 254


major of Education? Round your answer to three decimal places.

A) 0.729 B) 0.004 C) 0.371 D) 0.271

18)

3


19) Use the following graph, which shows the types of incidents encountered with drivers

using cell phones, to find the probability that a randomly chosen incident involves cutting

off a car. Round your answer to three decimal places.

19)


using cell phones, to find the probability that a randomly chosen incident did not involve

cutting off a car. Round your answer to three decimal places.

20)

4

21) Use the pie chart, which shows the number of Congressional Medal of Honor recipients in

the United States, to find the probability that a randomly chosen recipient served in the

Navy.

21)


the United States, to find the probability that a randomly chosen recipient did not serve in

the Marines.

22)


23) A question has five multiple-choice answers. Find the probability of guessing an incorrect answer.

A)3

5B)

5

2C)

4

5D)

1

5

23)

24) A question has five multiple-choice questions. Find the probability of guessing the correct answer.

A)2

5B)

1

5C)

5

4D)

4

5

24)

5



Major Frequency

Mathematics 216

English 207

Engineering 86

Business 176

Education 222

Find the probability of randomly choosing a person graduating with a Masterʹs degree

who did not major in Education. Round your answer to three decimal places.

25)



was not filed against Continental Airlines. (Round to three decimal places.)


United 287

Northwest 256

Continental 296

26)


27) A coin is tossed. Find the probability that the result is heads.

A) 0.5 B) 1 C) 0.1 D) 0.9

27)

28) A single six-sided die is rolled. Find the probability of rolling a number less than 3.

A) 0.25 B) 0.333 C) 0.5 D) 0.1

28)

29) A single six-sided die is rolled. Find the probability of rolling a seven.

A) 0.5 B) 0 C) 1 D) 0.1

29)

30) A study of 1000 randomly selected flights of a major airline showed that 769 of the flights arrived

on time. What is the probability of a flight arriving on time?

A)231

1000B)

1000

769C)

1000

231D)

769

1000

30)

31) If one card is drawn from a standard deck of 52 playing cards, what is the probability of drawing

an ace?

A)1

13B)

1

52C)

1

2D)

1

4

31)


red card?

A)1

52B)

1

13C)

1

2D)

1

4

32)

6


heart?

A)1

4B) 1 C)

3

4D)

1

2

33)

34) In a survey of college students, 824 said that they have cheated on an exam and 1727 said that they

have not. If one college student is selected at random, find the probability that the student has

cheated on an exam.

A)824

2551B)

2551

1727C)

2551

824D)

1727

2551

34)

35) If an individual is selected at random, what is the probability that he or she has a birthday in July?

Ignore leap years.

A)364

365B)

31

365C)

1

365D)

12

365

35)




was filed against United Airlines.


United 1172

Northwest 765

Continental 563

36)



was filed against Northwest Airlines.


United 1172

Northwest 765

Continental 563

37)



was filed against Continental Airlines.


United 1172

Northwest 765

Continental 563

38)

7



random, find the probability of selecting a person with blood type A+.


Number 37 6 34 6 10 2 4 1

A) 0.4 B) 0.34 C) 0.45 D) 0.68

39)


random, find the probability of selecting a person with blood type A+ or A-.


Number 37 6 34 6 10 2 4 1

A) 0.02 B) 0.34 C) 0.06 D) 0.4

40)


random, find the probability of not selecting a person with blood type B+.


Number 37 6 34 6 10 2 4 1

A) 0.12 B) 0.82 C) 0.90 D) 0.10

41)


random, find the probability of selecting a person with blood type AB-.


Number 37 6 34 6 10 2 4 1

A) 0.99 B) 0.05 C) 0.10 D) 0.01

42)


Major Frequency

Mathematics 216

English 207

Engineering 81

Business 176

Education 222


major of Engineering? Round your answer to three decimal places.

A) 0.012 B) 0.090 C) 0.910 D) 0.988

43)

8


Major Frequency

Mathematics 216

English 207

Engineering 86

Business 176

Education 227


major of Education? Round your answer to three decimal places.

A) 0.331 B) 0.751 C) 0.004 D) 0.249

44)



using cell phones, to find the probability that a randomly chosen incident involves cutting

off a car. Round your answer to three decimal places.

45)


using cell phones, to find the probability that a randomly chosen incident did not involve

cutting off a car. Round your answer to three decimal places.

46)

9


the United States, to find the probability that a randomly chosen recipient served in the

Navy.

47)


the United States, to find the probability that a randomly chosen recipient did not serve in

the Marines.

48)


49) A question has five multiple-choice answers. Find the probability of guessing an incorrect answer.

A)4

5B)

3

5C)

1

5D)

5

2

49)

50) A question has five multiple-choice questions. Find the probability of guessing the correct answer.

A)2

5B)

4

5C)

5

4D)

1

5

50)

10



Major Frequency

Mathematics 216

English 207

Engineering 86

Business 176

Education 222

Find the probability of randomly choosing a person graduating with a Masterʹs degree

who did not major in Education. Round your answer to three decimal places.

51)



was not filed against Continental Airlines. (Round to three decimal places.)


United 287

Northwest 256

Continental 202

52)

53) Identify the sample space of the probability experiment: shooting a free throw in

basketball.

53)

54) Identify the sample space of the probability experiment: answering a true or false question 54)

55) Identify the sample space of the probability experiment: recording the number of days it

snowed in Cleveland in the month of January.

55)

56) Identify the sample space of the probability experiment: answering a multiple choice

question with A, B, C, and D as the possible answers

56)

57) Identify the sample space of the probability experiment: determining the childrenʹs gender

for a family of three children (Use B for boy and G for girl.)

57)

58) Identify the sample space of the probability experiment: rolling a single 12-sided die with

sides numbered 1-12

58)

59) Identify the sample space of the probability experiment: rolling a pair of 12-sided dice

(with sides numbered 1-12) and observing the total number of points of each roll

59)

60) Identify the sample space of the probability experiment: A calculator has a function button

to generate a random integer from -5 to 5

60)

11

61) Identify the sample space of the probability experiment: recording a response to the

survey question and the gender of the respondent.

61)

62) Identify the sample space of the probability experiment: recording the day of the week

and whether or not it rains.

62)

63) Identify the sample space of the probability experiment: shooting a free throw in

basketball.

63)

64) Identify the sample space of the probability experiment: answering a true or false question 64)

65) Identify the sample space of the probability experiment: recording the number of days it

snowed in Cleveland in the month of January.

65)

66) Identify the sample space of the probability experiment: answering a multiple choice

question with A, B, C, and D as the possible answers

66)

67) Identify the sample space of the probability experiment: determining the childrenʹs gender

for a family of three children (Use B for boy and G for girl.)

67)

68) Identify the sample space of the probability experiment: rolling a single 12-sided die with

sides numbered 1-12

68)

69) Identify the sample space of the probability experiment: rolling a pair of 12-sided dice

(with sides numbered 1-12) and observing the total number of points of each roll

69)

70) Identify the sample space of the probability experiment: A calculator has a function button

to generate a random integer from -5 to 5

70)

12

71) Identify the sample space of the probability experiment: recording a response to the

survey question and the gender of the respondent.

71)

72) Identify the sample space of the probability experiment: recording the day of the week

and whether or not it rains.

72)


Determine the number of outcomes in the event. Then decide whether the event is a simple event or not. Explain your

reasoning.

73) A computer is used to randomly select a number between 1 and 1000. Event A is selecting a

number greater than 600.

A) 400; Simple event because only one number is selected.

B) 400; Not a simple event because it is an event that consists of more than a single outcome.

C) 600; Not a simple event because it is an event that consists of more than a single outcome.

D) 1; Simple event because it is an event that consists of a single outcome.

73)

74) You roll a six-sided die. Event B is rolling an even number.

A) 2; Not a simple event because it is an event that consists of more than a single outcome.


C) 1; Simple event because it is an event that consists of a single outcome.

D) 3; Simple event because the die is only rolled once.

74)

75) You randomly select one card from a standard deck. Event B is selecting the ace of hearts.




D) 4; Simple event because only one card is selected.

75)

13

76) You randomly select a computer from a batch of 50 which contains 3 defective computers. Event B

is selecting a defective computer.


B) 1; Simple event because it is an event that consists of only one type of computer.


D) 3; Simple event because it is an event that consists of only one type of computer.

76)

77) A computer is used to randomly select a number between 1 and 1000. Event A is selecting a

number greater than 600.

A) 400; Simple event because only one number is selected.



D) 400; Not a simple event because it is an event that consists of more than a single outcome.

77)

78) You roll a six-sided die. Event B is rolling an even number.

A) 1; Simple event because it is an event that consists of a single outcome.



D) 3; Simple event because the die is only rolled once.

78)

79) You randomly select one card from a standard deck. Event B is selecting the ace of hearts.

A) 4; Simple event because only one card is selected.



D) 1; Simple event because it is an event that consists of a single outcome.

79)

80) You randomly select a computer from a batch of 50 which contains 3 defective computers. Event B

is selecting a defective computer.

A) 1; Simple event because it is an event that consists of only one type of computer.



D) 3; Simple event because it is an event that consists of only one type of computer.

80)

Use the fundamental counting principle to solve the problem.

81) A shirt company has 4 designs each of which can be made with short or long sleeves. There are 5

color patterns available. How many different shirts are available from this company?

A) 40 B) 11 C) 9 D) 20

81)

82) If 8 newborn babies are randomly selected, how many different gender sequences are possible?

A) 64 B) 16 C) 256 D) 40,320

82)

83) A singer-songwriter wishes to compose a melody. Each note in the melody must be one of the 10

notes in her vocal range. How many different sequences of 3 notes are possible?

A) 59,049 B) 30 C) 1000 D) 720

83)

84) How many license plates can be made consisting of 3 letters followed by 2 digits?

A) 175,760 B) 100,000 C) 1,757,600 D) 11,881,376

84)

14

85) How many different codes of 4 digits are possible if the first digit must be 3, 4, or 5 and if the code

may not end in 0?

A) 2700 B) 300 C) 3000 D) 2999

85)

86) A shirt company has 4 designs each of which can be made with short or long sleeves. There are 7

color patterns available. How many different shirts are available from this company?

A) 11 B) 56 C) 13 D) 28

86)

87) If 5 newborn babies are randomly selected, how many different gender sequences are possible?

A) 120 B) 25 C) 10 D) 32

87)

88) A singer-songwriter wishes to compose a melody. Each note in the melody must be one of the 14

notes in her vocal range. How many different sequences of 3 notes are possible?

A) 2744 B) 2184 C) 42 D) 4,782,969

88)

89) How many license plates can be made consisting of 2 letters followed by 3 digits?

A) 100,000 B) 676,000 C) 11,881,376 D) 67,600

89)

90) How many different codes of 4 digits are possible if the first digit must be 3, 4, or 5 and if the code

may not end in 0?

A) 2999 B) 3000 C) 300 D) 2700

90)

Provide an appropriate response.

91) Which of the following cannot be a probability?

A) 0 B) -68 C)5

3D) 0.001

91)

92) Which of the following cannot be a probability?

A) 85% B) 0.0002 C)4

3D) 1

92)

93) Rank the probabilities of 10%, 1

5, and 0.06 from the least likely to occur to the most likely to occur.

A) 0.06, 1

5, 10% B)

1

5, 10%, 0.06 C) 10%,

1

5, 0.06 D) 0.06, 10%,

1

5

93)

94) Rank the probabilities of 10%, 1

5, and 0.06 from the most likely to occur to the least likely to occur.

A)1

5, 10%, 0.06 B) 0.06,

1

5, 10% C) 10%,

1

5, 0.06 D) 0.06, 10%,

1

5

94)


95) Explain why the following statement is incorrect:

He gave 110% effort.

95)

15


96) Classify the events as dependent or independent. Events A and B where

P(A) = 0.4, P(B) = 0.9, and P(A and B) = 0.36

A) independent B) dependent

96)


P(A) = 0.7, P(B) = 0.7, and P(A and B) = 0.48


97)

98) Classify the events as dependent or independent.

The events of getting two aces when two cards are drawn from a deck of playing cards and the

first card is replaced before the second card is drawn.

A) dependent B) independent

98)

99) Classify the events as dependent or independent. The events of getting two aces when two cards

are drawn from a deck of playing cards and the first card is not replaced before the second card is

drawn.


99)

100) Classify the events as dependent or independent. Event A: A red candy is selected from a package

with 30 colored candies and eaten. Event B: A blue candy is selected from the same package and

eaten.


100)


P(A) = 0.7, P(B) = 0.7, and P(A and B) = 0.49


101)


P(A) = 0.8, P(B) = 0.1, and P(A and B) = 0.07


102)

103) Classify the events as dependent or independent.

The events of getting two aces when two cards are drawn from a deck of playing cards and the

first card is replaced before the second card is drawn.


103)

104) Classify the events as dependent or independent. The events of getting two aces when two cards

are drawn from a deck of playing cards and the first card is not replaced before the second card is

drawn.


104)

105) Classify the events as dependent or independent. Event A: A red candy is selected from a package

with 30 colored candies and eaten. Event B: A blue candy is selected from the same package and

eaten.


105)

16

106) A group of students were asked if they carry a credit card. The responses are listed in the table.

Class

Credit Card

Carrier

Not a Credit Card

Carrier Total

Freshman 45 15 60

Sophomore 5 35 40

Total 50 50 100

If a student is selected at random, find the probability that he or she owns a credit card given that

the student is a freshman. Round your answer to three decimal places.

A) 0.450 B) 0.250 C) 0.900 D) 0.750

106)


Class

Credit Card

Carrier

Not a Credit Card

Carrier Total

Freshman 18 42 60

Sophomore 11 29 40

Total 29 71 100


the student is a sophomore. Round your answer to three decimal places.

A) 0.110 B) 0.379 C) 0.275 D) 0.725

107)


Class

Credit Card

Carrier

Not a Credit Card

Carrier Total

Freshman 14 46 60

Sophomore 32 8 40

Total 46 54 100

If a student is selected at random, find the probability that he or she is a freshman given that the

student owns a credit card. Round your answers to three decimal places.

A) 0.304 B) 0.233 C) 0.140 D) 0.696

108)


Class

Credit Card

Carrier

Not a Credit Card

Carrier Total

Freshman 23 37 60

Sophomore 8 32 40

Total 31 69 100

If a student is selected at random, find the probability that he or she is a sophomore given that the


A) 0.080 B) 0.742 C) 0.775 D) 0.258

109)

17


Class

Credit Card

Carrier

Not a Credit Card

Carrier Total

Freshman 11 49 60

Sophomore 16 24 40

Total 27 73 100

If a student is selected at random, find the probability that he or she is a sophomore and owns a

credit card. Round your answers to three decimal places.

A) 0.593 B) 0.675 C) 0.407 D) 0.160

110)


Class

Credit Card

Carrier

Not a Credit Card

Carrier Total

Freshman 45 15 60

Sophomore 32 8 40

Total 77 23 100


the student is a freshman. Round your answer to three decimal places.

A) 0.250 B) 0.450 C) 0.750 D) 0.584

111)


Class

Credit Card

Carrier

Not a Credit Card

Carrier Total

Freshman 17 43 60

Sophomore 28 12 40

Total 45 55 100


the student is a sophomore. Round your answer to three decimal places.

A) 0.622 B) 0.280 C) 0.700 D) 0.300

112)


Class

Credit Card

Carrier

Not a Credit Card

Carrier Total

Freshman 23 37 60

Sophomore 31 9 40

Total 54 46 100

If a student is selected at random, find the probability that he or she is a freshman given that the


A) 0.383 B) 0.426 C) 0.230 D) 0.574

113)

18


Class

Credit Card

Carrier

Not a Credit Card

Carrier Total

Freshman 21 39 60

Sophomore 15 25 40

Total 36 64 100

If a student is selected at random, find the probability that he or she is a sophomore given that the


A) 0.583 B) 0.417 C) 0.150 D) 0.900

114)


Class

Credit Card

Carrier

Not a Credit Card

Carrier Total

Freshman 10 50 60

Sophomore 20 20 40

Total 30 70 100

If a student is selected at random, find the probability that he or she is a sophomore and owns a

credit card. Round your answers to three decimal places.

A) 0.667 B) 0.200 C) 0.750 D) 0.333

115)

116) You are dealt two cards successively without replacement from a standard deck of 52 playing

cards. Find the probability that the first card is a two and the second card is a ten. Round your

answer to three decimal places.

A) 0.500 B) 0.994 C) 0.250 D) 0.006

116)

117) Find the probability of answering two true or false questions correctly if random guesses are made.

Only one of the choices is correct.

A) 0.75 B) 0.25 C) 0.5 D) 0.1

117)

118) Find the probability of answering the two multiple choice questions correctly if random guesses

are made. Assume the questions each have five choices for the answer. Only one of the choices is

correct.

A) 0.04 B) 0.02 C) 0.004 D) 0.4

118)


119) Find the probability of getting four consecutive aces when four cards are drawn without

replacement from a standard deck of 52 playing cards.

119)

120) Find the probability of selecting two consecutive threes when two cards are drawn

without replacement from a standard deck of 52 playing cards. Round your answer to

four decimal places.

120)

19


121) A multiple-choice test has five questions, each with five choices for the answer. Only one of the

choices is correct. You randomly guess the answer to each question. What is the probability that

you answer the first two questions correctly?

A) 0.2 B) 0.02 C) 0.04 D) 0.4

121)


122) A multiple-choice test has five questions, each with five choices for the answer. Only one

of the choices is correct. You randomly guess the answer to each question. What is the

probability that you answer all five questions correctly?

122)



probability that you do not answer any of the questions correctly?

123)



probability that you answer at least one of the questions correctly?

124)

125) The probability it will rain is 40% each day over a three-day period. What is the

probability it will rain at least one of the three days?

125)


probability it will not rain at least one of the three days?

126)


127) Four students drive to school in the same car. The students claim they were late to school and

missed a test because of a flat tire. On the makeup test, the instructor asks the students to identify

the tire that went flat; front driverʹs side, front passengerʹs side, rear driverʹs side, or rear

passengerʹs side. If the students didnʹt really have a flat tire and each randomly selects a tire, what

is the probability that all four students select the same tire?

A)1

64B)

1

8C)

1

256D)

1

4

127)

128) Find the probability that of 25 randomly selected students, no two share the same birthday.

A) 0.569 B) 0.995 C) 0.068 D) 0.431

128)

129) Find the probability that of 25 randomly selected students, at least two share the same birthday.

A) 0.068 B) 0.569 C) 0.995 D) 0.432

129)


130) What is the probability that a husband, wife, and daughter have the same birthday? 130)

20


131) You are dealt two cards successively without replacement from a standard deck of 52 playing

cards. Find the probability that the first card is a two and the second card is a ten. Round your

answer to three decimal places.

A) 0.250 B) 0.500 C) 0.006 D) 0.994

131)

132) Find the probability of answering two true or false questions correctly if random guesses are made.

Only one of the choices is correct.

A) 0.75 B) 0.1 C) 0.25 D) 0.5

132)

133) Find the probability of answering the two multiple choice questions correctly if random guesses

are made. Assume the questions each have five choices for the answer. Only one of the choices is

correct.

A) 0.04 B) 0.4 C) 0.004 D) 0.02

133)


134) Find the probability of getting four consecutive aces when four cards are drawn without

replacement from a standard deck of 52 playing cards.

134)

135) Find the probability of selecting two consecutive threes when two cards are drawn

without replacement from a standard deck of 52 playing cards. Round your answer to

four decimal places.

135)


136) A multiple-choice test has five questions, each with five choices for the answer. Only one of the

choices is correct. You randomly guess the answer to each question. What is the probability that

you answer the first two questions correctly?

A) 0.04 B) 0.4 C) 0.2 D) 0.02

136)




probability that you answer all five questions correctly?

137)



probability that you do not answer any of the questions correctly?

138)



probability that you answer at least one of the questions correctly?

139)


probability it will rain at least one of the three days?

140)


probability it will not rain at least one of the three days?

141)

21


142) Four students drive to school in the same car. The students claim they were late to school and

missed a test because of a flat tire. On the makeup test, the instructor asks the students to identify

the tire that went flat; front driverʹs side, front passengerʹs side, rear driverʹs side, or rear

passengerʹs side. If the students didnʹt really have a flat tire and each randomly selects a tire, what

is the probability that all four students select the same tire?

A)1

64B)

1

256C)

1

8D)

1

4

142)

143) Find the probability that of 25 randomly selected students, no two share the same birthday.

A) 0.068 B) 0.569 C) 0.431 D) 0.995

143)

144) Find the probability that of 25 randomly selected students, at least two share the same birthday.

A) 0.068 B) 0.569 C) 0.995 D) 0.432

144)


145) What is the probability that a husband, wife, and daughter have the same birthday? 145)


146) Decide if the events A and B are mutually exclusive or not mutually exclusive. A die is rolled.

A: The result is an odd number.

B: The result is an even number.

A) not mutually exclusive B) mutually exclusive

146)

147) Decide if the events A and B are mutually exclusive or not mutually exclusive, A die is rolled.

A: The result is a 3.

B: The result is an odd number.


147)

148) Decide if the events A and B are mutually exclusive or not mutually exclusive. A date in

Philadelphia is selected.

A: It rains that day.

B: It snows that day.


148)

149) Decide if the events A and B are mutually exclusive or not mutually exclusive. A card is drawn

from a standard deck of 52 playing cards.


B: The result is a jack.


149)



A: The result is a club.

B: The result is a king.


150)

22

151) Decide if the events A and B are mutually exclusive or not mutually exclusive. A person is selected

at random.

A: Their birthday is in the fall.

B: Their birthday is in October.


151)

152) Decide if the events A and B are mutually exclusive or not mutually exclusive. A student is

selected at random.

A: The student is taking a math course.

B: The student is a business major.


152)

153) Decide if the events A and B are mutually exclusive or not mutually exclusive. A die is rolled.

A: The result is an odd number.

B: The result is an even number.

A) mutually exclusive B) not mutually exclusive

153)

154) Decide if the events A and B are mutually exclusive or not mutually exclusive, A die is rolled.


B: The result is an odd number.


154)

155) Decide if the events A and B are mutually exclusive or not mutually exclusive. A date in

Philadelphia is selected.

A: It rains that day.

B: It snows that day.


155)




B: The result is a jack.


156)



A: The result is a club.

B: The result is a king.

A) mutually exclusive B) not mutually exclusive

157)

158) Decide if the events A and B are mutually exclusive or not mutually exclusive. A person is selected

at random.

A: Their birthday is in the fall.

B: Their birthday is in October.


158)

23

159) Decide if the events A and B are mutually exclusive or not mutually exclusive. A student is

selected at random.

A: The student is taking a math course.

B: The student is a business major.


159)

160) A card is drawn from a standard deck of 52 playing cards. Find the probability that the card is an

ace or a king.

A)2

13B)

1

13C)

8

13D)

4

13

160)


ace or a heart.

A)4

13B)

3

13C)

7

52D)

17

52

161)


ace or a black card.

A)15

26B)

7

13C)

29

52D)

4

13

162)

163) The events A and B are mutually exclusive. If P(A) = 0.1 and P(B) = 0.2, what is P(A or B)?

A) 0.02 B) 0.1 C) 0 D) 0.3

163)

164) Given that P(A or B) = 1

2, P(A) =

1

6, and P(A and B) =

1

8, find P(B).

A)11

24B)

13

24C)

19

24D)

1

6

164)



using cell phones, to find the probability that a randomly chosen incident involves either

swerving or almost hitting a car.

165)

24


166) The table lists the smoking habits of a group of college students.

Sex Non-smoker Regular Smoker Heavy Smoker Total

Man 135 59 5 199

Woman 187 21 8 216

Total 322 80 13 415

If a student is chosen at random, find the probability of getting someone who is a regular or heavy

smoker. Round your answer to three decimal places.

A) 0.161 B) 0.224 C) 0.267 D) 0.720

166)



Man 135 34 5 174

Woman 187 21 10 218

Total 322 55 15 392

If a student is chosen at random, find the probability of getting someone who is a man or a

non-smoker. Round your answer to three decimal places.

A) 0.945 B) 0.941 C) 0.921 D) 0.860

167)



Man 135 31 5 171

Woman 187 21 13 221

Total 322 52 18 392


woman. Round your answer to three decimal places.

A) 1 B) 0.821 C) 0.913 D) 0.179

168)


Assume that a student majors in only one subject.

Major Frequency

Mathematics 224

English 202

Engineering 86

Business 176

Education 222

What is the probability that a randomly selected student with a Masterʹs degree majored in English

or Mathematics? Round your answer to three decimal places.

A) 0.246 B) 0.222 C) 0.468 D) 0.532

169)

25

170) One hundred people were asked, ʺDo you favor the death penalty?ʺ Of the 33 that answered ʺyesʺ

to the question, 14 were male. Of the 67 that answered ʺnoʺ to the question, six were male. If one

person is selected at random, what is the probability that this person answered ʺyesʺ or was a

male?

A) 0.13 B) 0.39 C) 0.67 D) 0.53

170)


ace or a king.

A)8

13B)

1

13C)

4

13D)

2

13

171)


ace or a heart.

A)3

13B)

4

13C)

17

52D)

7

52

172)


ace or a black card.

A)4

13B)

15

26C)

29

52D)

7

13

173)

174) The events A and B are mutually exclusive. If P(A) = 0.6 and P(B) = 0.2, what is P(A or B)?

A) 0.12 B) 0.4 C) 0.8 D) 0

174)

175) Given that P(A or B) = 1

4, P(A) =

1

7, and P(A and B) =

1

9, find P(B).

A)71

252B)

127

252C)

55

252D)

5

63

175)



using cell phones, to find the probability that a randomly chosen incident involves either

swerving or almost hitting a car.

176)

26




Man 135 51 5 191

Woman 187 21 12 220

Total 322 72 17 411

If a student is chosen at random, find the probability of getting someone who is a regular or heavy

smoker. Round your answer to three decimal places.

A) 0.708 B) 0.256 C) 0.217 D) 0.153

177)



Man 135 70 5 210

Woman 187 21 15 223

Total 322 91 20 433


non-smoker. Round your answer to three decimal places.

A) 0.950 B) 0.917 C) 0.790 D) 0.942

178)



Man 135 52 5 192

Woman 187 21 5 213

Total 322 73 10 405


woman. Round your answer to three decimal places.

A) 0.936 B) 0.205 C) 1 D) 0.795

179)


Assume that a student majors in only one subject.

Major Frequency

Mathematics 229

English 203

Engineering 86

Business 176

Education 222

What is the probability that a randomly selected student with a Masterʹs degree majored in English

or Mathematics? Round your answer to three decimal places.

A) 0.222 B) 0.528 C) 0.472 D) 0.250

180)

27

181) One hundred people were asked, ʺDo you favor the death penalty?ʺ Of the 33 that answered ʺyesʺ

to the question, 14 were male. Of the 67 that answered ʺnoʺ to the question, six were male. If one

person is selected at random, what is the probability that this person answered ʺyesʺ or was a

male?

A) 0.39 B) 0.13 C) 0.67 D) 0.53

181)

182) The events A and B are mutually exclusive. If P(A) = 0.3 and P(B) = 0.4, what is P(A and B)?

A) 0.7 B) 0.12 C) 0 D) 0.5

182)

Perform the indicated calculation.

183) 6 P4

A) 24 B) 30 C) 2 D) 360

183)

184) 10P5

A) 2 B) 30,240 C) 252 D) 5

184)

185) 10P4

A) 34 B) 6 C) 210 D) 5040

185)

186) 10C4

A) 210 B) 1260 C) 720 D) 3

186)

187)6P4

11P3

A) 0.0000045 B) 0.091 C) 0.35 D) 0.36

187)

188)5C2

10C3

A) 0.028 B) 140,000 C) 0.083 D) 0.000099

188)

189) 5 P4

A) 24 B) 120 C) 5 D) 1

189)

190) 8P4

A) 4 B) 2 C) 70 D) 1680

190)

191) 10P2

A) 90 B) 8 C) 45 D) 19

191)

192) 8C3

A) 3 B) 120 C) 112 D) 56

192)

28

193)6P4

9P3

A) 0.18 B) 0.00050 C) 0.68 D) 0.71

193)

194)6C3

9C4

A) 0.040 B) 0.16 C) 0.0079 D) 8900

194)

29

Answer KeyTestname: MATH212CH3_PROBABILITY

1) A

2) A

3) C

4) D

5) B

6) B

7) A

8) D

9) C

10)1172

2500

11)765

2500

12)563

2500

13) D

14) C

15) B

16) B

17) B

18) D

19) 0.163

20) 0.837

21) 0.215

22) 0.914

23) C

24) B

25) Let E = Masterʹs degree in Education.

P(E) = 222

907. P(Eʹ ) = 1 - P(E) =

685

907 = 0.755

26) Let E = the event the complaint was against Continental

P(E) = 296

839

P(Eʹ) = 1 - P(E) = 1 - 296

839 =

543

839 = 0.647

27) A

28) B

29) B

30) D

31) A

32) C

33) A

34) A

35) B

36)1172

2500

37)765

2500

30


38)563

2500

39) B

40) D

41) C

42) D

43) B

44) D

45) 0.163

46) 0.837

47) 0.215

48) 0.914

49) A

50) D

51) Let E = Masterʹs degree in Education.

P(E) = 222

907. P(Eʹ ) = 1 - P(E) =

685

907 = 0.755

52) Let E = the event the complaint was against Continental

P(E) = 202

745

P(Eʹ) = 1 - P(E) = 1 - 202

745 =

543

745 = 0.729

53) {(hit, miss)}

54) {(true, false)}

55) {(0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, . . . , 30, 31)}

56) {(A, B, C, D)}

57) {(BBB), (BBG), (BGB), (GBB), (BGG), (GBG), (GGB), (GGG)}

58) {(1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12)}

59) {(2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24)}

60) {(-5, -4, -3, -2, -1, 0, 1, 2, 3, 4, 5)}

61) {(YM, YF, NM, NF, UM, UF)}

62) {(MR, TR, WR, HR, FR, SAR, SUR, MN, TN, WN, HN, FN, SAN, SUN)}

63) {(hit, miss)}

64) {(true, false)}

65) {(0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, . . . , 30, 31)}

66) {(A, B, C, D)}

67) {(BBB), (BBG), (BGB), (GBB), (BGG), (GBG), (GGB), (GGG)}

68) {(1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12)}

69) {(2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24)}

70) {(-5, -4, -3, -2, -1, 0, 1, 2, 3, 4, 5)}

71) {(YM, YF, NM, NF, UM, UF)}

72) {(MR, TR, WR, HR, FR, SAR, SUR, MN, TN, WN, HN, FN, SAN, SUN)}

73) B

74) B

75) C

76) A

77) D

78) C

79) D

31


80) B

81) A

82) C

83) C

84) C

85) A

86) B

87) D

88) A

89) B

90) D

91) B

92) C

93) D

94) A

95) Maximum effort is 100%.

96) A

97) B

98) B

99) B

100) B

101) B

102) A

103) A

104) A

105) B

106) D

107) C

108) A

109) D

110) D

111) C

112) C

113) B

114) B

115) B

116) D

117) B

118) A

119) P(4-Aces) = 4

52

3

51

2

50

1

49 = 0.00000369

120) P(2-threes) = 4

52

3

51 = 0.0045

121) C

122) P(all five questions answered correctly) = 1

5

1

5

1

5

1

5

1

5 = 0.00032

123) P(all five questions answers incorrect) = 4

5

4

5

4

5

4

5

4

5 = 0.32768

32


124) P(at least one correct) = 1 - P(all five answers incorrect)

= 1 - 4

5

4

5

4

5

4

5

4

5 = 1 - 0.32768 = 0.67232

125) P(rain at least one day) = 1 - P(no rain all three days)

= 1 - (0.60)(0.60)(0.60)

= 0.784

126) P(not rain at least one day) = 1 - P(rain all three days)

= 1 - (0.40)(0.40)(0.40)

= 0.936

127) A

128) D

129) B

130)365

365

1

365

1

365 = 0.00000751

131) C

132) C

133) A

134) P(4-Aces) = 4

52

3

51

2

50

1

49 = 0.00000369

135) P(2-threes) = 4

52

3

51 = 0.0045

136) A

137) P(all five questions answered correctly) = 1

5

1

5

1

5

1

5

1

5 = 0.00032

138) P(all five questions answers incorrect) = 4

5

4

5

4

5

4

5

4

5 = 0.32768

139) P(at least one correct) = 1 - P(all five answers incorrect)

= 1 - 4

5

4

5

4

5

4

5

4

5 = 1 - 0.32768 = 0.67232

140) P(rain at least one day) = 1 - P(no rain all three days)

= 1 - (0.60)(0.60)(0.60)

= 0.784

141) P(not rain at least one day) = 1 - P(rain all three days)

= 1 - (0.40)(0.40)(0.40)

= 0.936

142) A

143) C

144) B

145)365

365

1

365

1

365 = 0.00000751

146) B

147) A

148) A

149) B

150) A

151) A

152) A

153) A

33


154) A

155) A

156) B

157) B

158) A

159) A

160) A

161) A

162) B

163) D

164) A

165) 0.512

166) B

167) C

168) A

169) C

170) B

171) D

172) B

173) D

174) C

175) C

176) 0.512

177) C

178) B

179) C

180) C

181) A

182) C

183) D

184) B

185) D

186) A

187) D

188) C

189) B

190) D

191) A

192) D

193) D

194) B

34

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Exam Name - EMUbrahms.emu.edu.tr/tut/web/math211/math211_probability.pdf · Exam Name ... A study of 1000 randomly selected flights of a major airline showed that 746 of the flights