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

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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

500 B) 500

373 C) 500

127 D) 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

2 B) 1

13 C) 1

4 D) 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

13 B) 1

2 C) 1

52 D) 1

4

6)

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

A) 1

4 B) 1 C) 1

2 D) 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

890 B) 2609

1719 C) 1719

2609 D) 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

365 B) 1

365 C) 31

365 D) 12

365

9)

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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)

airlines. If one complaint from the table is randomly selected, find the probability that it was filed against Northwest Airlines.

United 1172

Northwest 765

Continental 563

11)

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

14) 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+ or A-.

Number 37 6 34 6 10 2 4 1

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

14)

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

16) 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 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

What is the probability that a randomly selected student graduating with a Masterʹs degree has a major of Education? Round your answer to three decimal places.

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

18)

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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)

20) 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 did not involve cutting off a car. Round your answer to three decimal places.

20)

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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)

22) 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 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

5 B) 5

2 C) 4

5 D) 1

5

23)

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

A) 2

B) 1

C) 5

D) 4

24)

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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)

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

1000 B) 1000

769 C) 1000

231 D) 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

13 B) 1

52 C) 1

2 D) 1

4

31)

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

A) 1

52 B) 1

13 C) 1

2 D) 1

4

32)

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

A) 1

4 B) 1 C) 3

4 D) 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

2551 B) 2551

1727 C) 2551

824 D) 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

365 B) 31

365 C) 1

365 D) 12

365

35)

airlines. If one complaint from the table is randomly selected, find the probability that it was filed against United Airlines.

United 1172

Northwest 765

Continental 563

36)

airlines. If one complaint from the table is randomly selected, find the probability that it was filed against Northwest Airlines.

United 1172

Northwest 765

Continental 563

37)

airlines. If one complaint from the table is randomly selected, find the probability that it was filed against Continental Airlines.

United 1172

Northwest 765

Continental 563

38)

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39) 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+.

Number 37 6 34 6 10 2 4 1

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

39)

40) 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+ or A-.

Number 37 6 34 6 10 2 4 1

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

40)

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

42) 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 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

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) 0.012 B) 0.090 C) 0.910 D) 0.988

43)

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Major Frequency

Mathematics 216

English 207

Engineering 86

Business 176

Education 227

What is the probability that a randomly selected student graduating with a Masterʹs degree has a major of Education? Round your answer to three decimal places.

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

44)

45) 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.

45)

46) 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 did not involve cutting off a car. Round your answer to three decimal places.

46)

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47) 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.

47)

48) 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 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

5 B) 3

5 C) 1

5 D) 5

2

49)

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

A) 2

5 B) 4

5 C) 5

4 D) 1

5

50)

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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)

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

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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)

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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)

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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)

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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

3 D) 0.001

91)

92) Which of the following cannot be a probability?

A) 85% B) 0.0002 C) 4

3 D) 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)

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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)

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)

101)

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)

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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

Freshman 18 42 60

Sophomore 11 29 40

Total 29 71 100

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

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

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

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

109)

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Class

Credit Card Carrier

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

Freshman 45 15 60

Sophomore 32 8 40

Total 77 23 100

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) 0.250 B) 0.450 C) 0.750 D) 0.584

111)

Class

Credit Card Carrier

Freshman 17 43 60

Sophomore 28 12 40

Total 45 55 100

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

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

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

113)

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Class

Credit Card Carrier

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

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

114)

Class

Credit Card Carrier

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)

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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)

123) 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 do not answer any of the questions correctly?

123)

124) 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 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)

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

64 B) 1

8 C) 1

256 D) 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)

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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)

137) 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?

137)

138) 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 do not answer any of the questions correctly?

138)

139) 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 at least one of the questions correctly?

139)

140) 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?

140)

(22)

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

64 B) 1

256 C) 1

8 D) 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)

(23)

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)

(24)

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

13 B) 1

13 C) 8

13 D) 4

13

160)

161) A card is drawn from a standard deck of 52 playing cards. Find the probability that the card is an ace or a heart.

A) 4

13 B) 3

13 C) 7

52 D) 17

52

161)

162) A card is drawn from a standard deck of 52 playing cards. Find the probability that the card is an ace or a black card.

A) 15

26 B) 7

13 C) 29

52 D) 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

24 B) 13

24 C) 19

24 D) 1

6

164)

165) 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 either swerving or almost hitting a car.

165)