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


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1 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. B) 1 C) 0.1 D) 0.9 1) 2) A single sixsided die is rolled. Find the probability of rolling a number less than 3. A) B) 0. C) 0.1 D) 0.2 2) 3) A single sixsided die is rolled. Find the probability of rolling a seven. A) 1 B) 0.1 C) 0 D) 0. 3) ) A study of 1000 randomly selected flights of a major airline showed that 76 of the flights arrived on time. What is the probability of a flight arriving on time? A) B) C) D) ) ) If one card is drawn from a standard deck of 2 playing cards, what is the probability of drawing an ace? A) 1 1 B) C) 1 D) ) 6) If one card is drawn from a standard deck of 2 playing cards, what is the probability of drawing a red card? A) 1 B) 1 1 C) D) ) 7) If one card is drawn from a standard deck of 2 playing cards, what is the probability of drawing a heart? 7) A) 1 B) 1 C) 1 2 D) 3 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) B) C) D) ) 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) B) C) D) ) 1
2 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. 10) Airline Number of Complaints United 1172 Northwest 76 Continental 63 11) 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 Northwest Airlines. 11) Airline Number of Complaints United 1172 Northwest 76 Continental 63 12) 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 Continental Airlines. 12) Airline Number of Complaints United 1172 Northwest 76 Continental 63 MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question. 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+. 13) Blood Type O+ O A+ A B+ B AB+ AB Number A) 0. B) 0.68 C) 0. D) 0.3 1) 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. 1) Blood Type O+ O A+ A B+ B AB+ AB Number A) 0.02 B) 0.06 C) 0. D) 0.3 2
3 1) 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+. 1) Blood Type O+ O A+ A B+ B AB+ AB Number A) 0.82 B) 0.90 C) 0.10 D) ) 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. 16) Blood Type O+ O A+ A B+ B AB+ AB Number A) 0.0 B) 0.01 C) 0.99 D) ) The distribution of Masterʹs degrees conferred by a university is listed in the table. 17) Major Frequency Mathematics 216 English 207 Engineering 8 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) B) 0.09 C) D) ) The distribution of Masterʹs degrees conferred by a university is listed in the table. 18) Major Frequency Mathematics 216 English 207 Engineering 86 Business 176 Education 2 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) B) 0.00 C) D)
4 SHORT ANSWER. Write the word or phrase that best completes each statement or answers the question. 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)
5 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) MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question. 23) A question has five multiplechoice answers. Find the probability of guessing an incorrect answer. 23) A) 3 B) 2 C) D) 1 2) A question has five multiplechoice questions. Find the probability of guessing the correct answer. 2) A) 2 B) 1 C) D)
6 SHORT ANSWER. Write the word or phrase that best completes each statement or answers the question. 2) The distribution of Masterʹs degrees conferred by a university is listed in the table. 2) 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. 26) 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 not filed against Continental Airlines. (Round to three decimal places.) 26) Airline Number of Complaints United 287 Northwest 26 Continental 296 MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question. 27) A coin is tossed. Find the probability that the result is heads. A) 0. B) 1 C) 0.1 D) ) 28) A single sixsided die is rolled. Find the probability of rolling a number less than 3. A) 0.2 B) C) 0. D) ) 29) A single sixsided die is rolled. Find the probability of rolling a seven. A) 0. B) 0 C) 1 D) ) 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) B) C) D) ) 31) If one card is drawn from a standard deck of 2 playing cards, what is the probability of drawing an ace? A) 1 1 B) C) 1 D) ) 32) If one card is drawn from a standard deck of 2 playing cards, what is the probability of drawing a red card? A) 1 1 B) C) 1 D) ) 6
7 33) If one card is drawn from a standard deck of 2 playing cards, what is the probability of drawing a heart? 33) A) 1 B) 1 C) 3 D) 1 2 3) In a survey of college students, 82 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) B) C) D) ) 3) If an individual is selected at random, what is the probability that he or she has a birthday in July? Ignore leap years. A) B) C) D) ) SHORT ANSWER. Write the word or phrase that best completes each statement or answers the question. 36) 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. 36) Airline Number of Complaints United 1172 Northwest 76 Continental 63 37) 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 Northwest Airlines. 37) Airline Number of Complaints United 1172 Northwest 76 Continental 63 38) 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 Continental Airlines. 38) Airline Number of Complaints United 1172 Northwest 76 Continental 63 7
8 MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question. 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+. 39) Blood Type O+ O A+ A B+ B AB+ AB Number A) 0. B) 0.3 C) 0. D) ) 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. 0) Blood Type O+ O A+ A B+ B AB+ AB Number A) 0.02 B) 0.3 C) 0.06 D) 0. 1) 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+. 1) Blood Type O+ O A+ A B+ B AB+ AB Number A) 0.12 B) 0.82 C) 0.90 D) ) 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. 2) Blood Type O+ O A+ A B+ B AB+ AB Number A) 0.99 B) 0.0 C) 0.10 D) ) The distribution of Masterʹs degrees conferred by a university is listed in the table. 3) 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) B) C) D)
9 ) The distribution of Masterʹs degrees conferred by a university is listed in the table. ) 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) B) 0.71 C) 0.00 D) 0.29 SHORT ANSWER. Write the word or phrase that best completes each statement or answers the question. ) 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. ) 6) 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. 6) 9
10 7) 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. 7) 8) 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. 8) MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question. 9) A question has five multiplechoice answers. Find the probability of guessing an incorrect answer. 9) A) B) 3 C) 1 D) 2 0) A question has five multiplechoice questions. Find the probability of guessing the correct answer. 0) A) 2 B) C) D) 1 10
11 SHORT ANSWER. Write the word or phrase that best completes each statement or answers the question. 1) The distribution of Masterʹs degrees conferred by a university is listed in the table. 1) 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. 2) 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 not filed against Continental Airlines. (Round to three decimal places.) 2) Airline Number of Complaints United 287 Northwest 26 Continental 202 3) Identify the sample space of the probability experiment: shooting a free throw in basketball. 3) ) Identify the sample space of the probability experiment: answering a true or false question ) ) Identify the sample space of the probability experiment: recording the number of days it snowed in Cleveland in the month of January. ) 6) Identify the sample space of the probability experiment: answering a multiple choice question with A, B, C, and D as the possible answers 6) 7) 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.) 7) 8) Identify the sample space of the probability experiment: rolling a single 12sided die with sides numbered ) 9) Identify the sample space of the probability experiment: rolling a pair of 12 sided dice (with sides numbered 112) and observing the total number of points of each roll 9) 60) Identify the sample space of the probability experiment: A calculator has a function button to generate a random integer from  to 60) 11
12 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) 6) Identify the sample space of the probability experiment: answering a true or false question 6) 6) Identify the sample space of the probability experiment: recording the number of days it snowed in Cleveland in the month of January. 6) 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 12sided die with sides numbered ) 69) Identify the sample space of the probability experiment: rolling a pair of 12 sided dice (with sides numbered 112) 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  to 70) 12
13 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) MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question. 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 Event A is selecting a 73) number greater than 600. A) 00; Simple event because only one number is selected. B) 00; 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. 7) You roll a sixsided 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. B) 3; 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. 7) 7) You randomly select one card from a standard deck. Event B is selecting the ace of hearts. A) ; Not a simple event because it is an event that consists of more than a single outcome. B) 13; 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) ; Simple event because only one card is selected. 7) 13
14 76) You randomly select a computer from a batch of 0 which contains 3 defective computers. Event B is selecting a defective computer. A) 3; Not a simple event because it is an event that consists of more than a single outcome. B) 1; Simple event because it is an event that consists of only one type of computer. C) 0; Not a simple event because it is an event that consists of more than a single outcome. 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 Event A is selecting a number greater than 600. A) 00; Simple event because only one number is selected. B) 600; 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) 00; Not a simple event because it is an event that consists of more than a single outcome. 77) 78) You roll a sixsided die. Event B is rolling an even number. A) 1; Simple event because it is an event that consists of a single outcome. B) 2; Not a simple event because it is an event that consists of more than a single outcome. C) 3; Not a simple event because it is an event that consists of more than 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) ; Simple event because only one card is selected. B) 13; Not a simple event because it is an event that consists of more than a single outcome. C) ; 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. 79) 80) You randomly select a computer from a batch of 0 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. B) 3; Not a simple event because it is an event that consists of more than a single outcome. C) 0; Not a simple event because it is an event that consists of more than a single outcome. 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 designs each of which can be made with short or long sleeves. There are color patterns available. How many different shirts are available from this company? A) 0 B) 11 C) 9 D) 20 81) 82) If 8 newborn babies are randomly selected, how many different gender sequences are possible? A) 6 B) 16 C) 26 D) 0,320 82) 83) A singersongwriter 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) 9,09 B) 30 C) 1000 D) ) 8) How many license plates can be made consisting of 3 letters followed by 2 digits? A) 17,760 B) 100,000 C) 1,77,600 D) 11,881,376 8) 1
15 8) How many different codes of digits are possible if the first digit must be 3,, or and if the code may not end in 0? A) 2700 B) 300 C) 3000 D) ) 86) A shirt company has 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) 6 C) 13 D) 28 86) 87) If newborn babies are randomly selected, how many different gender sequences are possible? A) 120 B) 2 C) 10 D) 32 87) 88) A singersongwriter wishes to compose a melody. Each note in the melody must be one of the 1 notes in her vocal range. How many different sequences of 3 notes are possible? A) 27 B) 218 C) 2 D),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 digits are possible if the first digit must be 3,, or and if the code may not end in 0? A) 2999 B) 3000 C) 300 D) ) Provide an appropriate response. 91) Which of the following cannot be a probability? A) 0 B) 68 C) 3 D) ) 92) Which of the following cannot be a probability? A) 8% B) C) 3 D) 1 92) 93) Rank the probabilities of 10%, 1, and 0.06 from the least likely to occur to the most likely to occur. 93) A) 0.06, 1, 10% B) 1, 10%, 0.06 C) 10%, 1, 0.06 D) 0.06, 10%, 1 9) Rank the probabilities of 10%, 1, and 0.06 from the most likely to occur to the least likely to occur. 9) A) 1, 10%, 0.06 B) 0.06, 1, 10% C) 10%, 1, 0.06 D) 0.06, 10%, 1 SHORT ANSWER. Write the word or phrase that best completes each statement or answers the question. 9) Explain why the following statement is incorrect: He gave 110% effort. 9) 1
16 MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question. 96) Classify the events as dependent or independent. Events A and B where P(A) = 0., P(B) = 0.9, and P(A and B) = 0.36 A) independent B) dependent 96) 97) Classify the events as dependent or independent. Events A and B where P(A) = 0.7, P(B) = 0.7, and P(A and B) = 0.8 A) independent B) dependent 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. A) independent B) dependent 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. A) independent B) dependent 100) 101) Classify the events as dependent or independent. Events A and B where P(A) = 0.7, P(B) = 0.7, and P(A and B) = 0.9 A) dependent B) independent 101) 102) Classify the events as dependent or independent. Events A and B where P(A) = 0.8, P(B) = 0.1, and P(A and B) = 0.07 A) dependent B) independent 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. A) independent B) dependent 103) 10) 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. A) dependent B) independent 10) 10) 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. A) independent B) dependent 10) 16
17 106) A group of students were asked if they carry a credit card. The responses are listed in the table. 106) Class Credit Card Carrier Not a Credit Card Carrier Total Freshman 1 60 Sophomore 3 0 Total 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) 0.0 B) 0.20 C) D) ) A group of students were asked if they carry a credit card. The responses are listed in the table. 107) Class Credit Card Carrier Not a Credit Card Carrier Total Freshman Sophomore Total 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) B) C) 0.27 D) ) A group of students were asked if they carry a credit card. The responses are listed in the table. 108) Class Credit Card Carrier Not a Credit Card Carrier Total Freshman Sophomore Total 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) 0.30 B) C) 0.10 D) ) A group of students were asked if they carry a credit card. The responses are listed in the table. 109) Class Credit Card Carrier Not a Credit Card Carrier Total Freshman Sophomore Total 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) B) 0.72 C) 0.77 D)
18 110) A group of students were asked if they carry a credit card. The responses are listed in the table. 110) Class Credit Card Carrier Not a Credit Card Carrier Total Freshman Sophomore Total 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) 0.93 B) 0.67 C) 0.07 D) ) A group of students were asked if they carry a credit card. The responses are listed in the table. 111) Class Credit Card Carrier Not a Credit Card Carrier Total Freshman 1 60 Sophomore Total 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) 0.20 B) 0.0 C) 0.70 D) ) A group of students were asked if they carry a credit card. The responses are listed in the table. 112) Class Credit Card Carrier Not a Credit Card Carrier Total Freshman Sophomore Total 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) B) C) D) ) A group of students were asked if they carry a credit card. The responses are listed in the table. 113) Class Credit Card Carrier Not a Credit Card Carrier Total Freshman Sophomore Total 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) B) 0.26 C) D)
19 11) A group of students were asked if they carry a credit card. The responses are listed in the table. 11) Class Credit Card Carrier Not a Credit Card Carrier Total Freshman Sophomore Total 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) 0.83 B) 0.17 C) 0.10 D) ) A group of students were asked if they carry a credit card. The responses are listed in the table. 11) Class Credit Card Carrier Not a Credit Card Carrier Total Freshman Sophomore Total 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) B) C) 0.70 D) ) You are dealt two cards successively without replacement from a standard deck of 2 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) 0.00 B) 0.99 C) 0.20 D) ) 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) 0.7 B) 0.2 C) 0. D) ) 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) 0.0 B) 0.02 C) 0.00 D) ) SHORT ANSWER. Write the word or phrase that best completes each statement or answers the question. 119) Find the probability of getting four consecutive aces when four cards are drawn without replacement from a standard deck of 2 playing cards. 119) 120) Find the probability of selecting two consecutive threes when two cards are drawn without replacement from a standard deck of 2 playing cards. Round your answer to four decimal places. 120) 19
20 MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question. 121) A multiplechoice 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) 0.0 D) ) SHORT ANSWER. Write the word or phrase that best completes each statement or answers the question. 122) A multiplechoice 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 multiplechoice 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) 12) A multiplechoice 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? 12) 12) The probability it will rain is 0% each day over a threeday period. What is the probability it will rain at least one of the three days? 12) 126) The probability it will rain is 0% each day over a threeday period. What is the probability it will not rain at least one of the three days? 126) MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question. 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 B) 1 1 C) D) ) 128) Find the probability that of 2 randomly selected students, no two share the same birthday. A) 0.69 B) 0.99 C) D) ) 129) Find the probability that of 2 randomly selected students, at least two share the same birthday. A) B) 0.69 C) 0.99 D) ) SHORT ANSWER. Write the word or phrase that best completes each statement or answers the question. 130) What is the probability that a husband, wife, and daughter have the same birthday? 130) 20
21 MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question. 131) You are dealt two cards successively without replacement from a standard deck of 2 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) 0.20 B) 0.00 C) D) ) 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) 0.7 B) 0.1 C) 0.2 D) ) 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) 0.0 B) 0. C) 0.00 D) ) SHORT ANSWER. Write the word or phrase that best completes each statement or answers the question. 13) Find the probability of getting four consecutive aces when four cards are drawn without replacement from a standard deck of 2 playing cards. 13) 13) Find the probability of selecting two consecutive threes when two cards are drawn without replacement from a standard deck of 2 playing cards. Round your answer to four decimal places. 13) MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question. 136) A multiplechoice 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) 0.0 B) 0. C) 0.2 D) ) SHORT ANSWER. Write the word or phrase that best completes each statement or answers the question. 137) A multiplechoice 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 multiplechoice 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 multiplechoice 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) 10) The probability it will rain is 0% each day over a threeday period. What is the probability it will rain at least one of the three days? 10) 11) The probability it will rain is 0% each day over a threeday period. What is the probability it will not rain at least one of the three days? 11) 21
22 MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question. 12) 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 1 B) C) 1 D) ) 13) Find the probability that of 2 randomly selected students, no two share the same birthday. A) B) 0.69 C) 0.31 D) ) 1) Find the probability that of 2 randomly selected students, at least two share the same birthday. A) B) 0.69 C) 0.99 D) ) SHORT ANSWER. Write the word or phrase that best completes each statement or answers the question. 1) What is the probability that a husband, wife, and daughter have the same birthday? 1) MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question. 16) 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 16) 17) 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. A) not mutually exclusive B) mutually exclusive 17) 18) 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. A) not mutually exclusive B) mutually exclusive 18) 19) Decide if the events A and B are mutually exclusive or not mutually exclusive. A card is drawn from a standard deck of 2 playing cards. A: The result is a 7. B: The result is a jack. A) not mutually exclusive B) mutually exclusive 19) 10) Decide if the events A and B are mutually exclusive or not mutually exclusive. A card is drawn from a standard deck of 2 playing cards. A: The result is a club. B: The result is a king. A) not mutually exclusive B) mutually exclusive 10) 22
23 11) 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. A) not mutually exclusive B) mutually exclusive 11) 12) 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. A) not mutually exclusive B) mutually exclusive 12) 13) 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 13) 1) 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. A) not mutually exclusive B) mutually exclusive 1) 1) 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. A) not mutually exclusive B) mutually exclusive 1) 16) Decide if the events A and B are mutually exclusive or not mutually exclusive. A card is drawn from a standard deck of 2 playing cards. A: The result is a 7. B: The result is a jack. A) not mutually exclusive B) mutually exclusive 16) 17) Decide if the events A and B are mutually exclusive or not mutually exclusive. A card is drawn from a standard deck of 2 playing cards. A: The result is a club. B: The result is a king. A) mutually exclusive B) not mutually exclusive 17) 18) 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. A) not mutually exclusive B) mutually exclusive 18) 23
24 19) 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. A) not mutually exclusive B) mutually exclusive 19) 160) A card is drawn from a standard deck of 2 playing cards. Find the probability that the card is an ace or a king. A) B) C) D) ) 161) A card is drawn from a standard deck of 2 playing cards. Find the probability that the card is an ace or a heart. A) 3 7 B) C) D) ) 162) A card is drawn from a standard deck of 2 playing cards. Find the probability that the card is an ace or a black card. A) 1 7 B) C) 29 D) ) 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) ) 16) Given that P(A or B) = 1 2, P(A) = 1 6, and P(A and B) = 1, find P(B). 8 16) A) 11 2 B) 13 2 C) 19 2 D) 1 6 SHORT ANSWER. Write the word or phrase that best completes each statement or answers the question. 16) 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. 16) 2
25 MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question. 166) The table lists the smoking habits of a group of college students. 166) Sex Nonsmoker Regular Smoker Heavy Smoker Total Man Woman Total 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) B) 0.22 C) D) ) The table lists the smoking habits of a group of college students. 167) Sex Nonsmoker Regular Smoker Heavy Smoker Total Man Woman Total If a student is chosen at random, find the probability of getting someone who is a man or a nonsmoker. Round your answer to three decimal places. A) 0.9 B) 0.91 C) D) ) The table lists the smoking habits of a group of college students. 168) Sex Nonsmoker Regular Smoker Heavy Smoker Total Man Woman Total If a student is chosen at random, find the probability of getting someone who is a man or a woman. Round your answer to three decimal places. A) 1 B) C) D) ) The distribution of Masterʹs degrees conferred by a university is listed in the table. Assume that a student majors in only one subject. 169) Major Frequency Mathematics 22 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) 0.26 B) C) 0.68 D)
26 170) One hundred people were asked, ʺDo you favor the death penalty?ʺ Of the 33 that answered ʺyesʺ to the question, 1 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) ) 171) A card is drawn from a standard deck of 2 playing cards. Find the probability that the card is an ace or a king. A) 8 1 B) C) D) ) 172) A card is drawn from a standard deck of 2 playing cards. Find the probability that the card is an ace or a heart. A) 3 B) C) 17 D) ) 173) A card is drawn from a standard deck of 2 playing cards. Find the probability that the card is an ace or a black card. A) 13 B) 1 26 C) 29 2 D) ) 17) 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. C) 0.8 D) 0 17) 17) Given that P(A or B) = 1, P(A) = 1 7, and P(A and B) = 1, find P(B). 9 17) A) B) C) 22 D) 63 SHORT ANSWER. Write the word or phrase that best completes each statement or answers the question. 176) 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. 176) 26
27 MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question. 177) The table lists the smoking habits of a group of college students. 177) Sex Nonsmoker Regular Smoker Heavy Smoker Total Man Woman Total 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) B) 0.26 C) D) ) The table lists the smoking habits of a group of college students. 178) Sex Nonsmoker Regular Smoker Heavy Smoker Total Man Woman Total If a student is chosen at random, find the probability of getting someone who is a man or a nonsmoker. Round your answer to three decimal places. A) 0.90 B) C) D) ) The table lists the smoking habits of a group of college students. 179) Sex Nonsmoker Regular Smoker Heavy Smoker Total Man Woman Total If a student is chosen at random, find the probability of getting someone who is a man or a woman. Round your answer to three decimal places. A) B) 0.20 C) 1 D) ) The distribution of Masterʹs degrees conferred by a university is listed in the table. Assume that a student majors in only one subject. 180) 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) B) 0.28 C) 0.72 D)
28 181) One hundred people were asked, ʺDo you favor the death penalty?ʺ Of the 33 that answered ʺyesʺ to the question, 1 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) ) 182) The events A and B are mutually exclusive. If P(A) = 0.3 and P(B) = 0., what is P(A and B)? A) 0.7 B) 0.12 C) 0 D) ) Perform the indicated calculation. 183) 6 P A) 2 B) 30 C) 2 D) ) 18) 10 P A) 2 B) 30,20 C) 22 D) 18) 18) 10 P A) 3 B) 6 C) 210 D) 00 18) 186) 10 C A) 210 B) 1260 C) 720 D) 3 186) 187) 6 P 11 P 3 A) B) C) 0.3 D) ) 188) C 2 10 C 3 A) B) 10,000 C) D) ) 189) P A) 2 B) 120 C) D) 1 189) 190) 8 P A) B) 2 C) 70 D) ) 191) 10 P 2 A) 90 B) 8 C) D) ) 192) 8 C 3 A) 3 B) 120 C) 112 D) 6 192) 28
29 193) 6P 9 P 3 A) 0.18 B) C) 0.68 D) ) 19) 6C 3 9 C A) 0.00 B) 0.16 C) D) ) 29
30 Answer Key Testname: MATH212CH3_PROBABILITY 1) A 2) A 3) C ) D ) B 6) B 7) A 8) D 9) C 10) ) ) ) D 1) C 1) B 16) B 17) B 18) D 19) ) ) ) ) C 2) B 2) Let E = Masterʹs degree in Education. P(E) = P(Eʹ ) = 1  P(E) = = ) Let E = the event the complaint was against Continental P(E) = P(Eʹ) = 1  P(E) = = = ) A 28) B 29) B 30) D 31) A 32) C 33) A 3) A 3) B 36) )
31 Answer Key Testname: MATH212CH3_PROBABILITY 63 38) ) B 0) D 1) C 2) D 3) B ) D ) ) ) ) ) A 0) D 1) Let E = Masterʹs degree in Education. P(E) = P(Eʹ ) = 1  P(E) = = 0.7 2) Let E = the event the complaint was against Continental P(E) = P(Eʹ) = 1  P(E) = = 3 7 = ) {(hit, miss)} ) {(true, false)} ) {(0, 1, 2, 3,,, 6, 7, 8, 9, 10,..., 30, 31)} 6) {(A, B, C, D)} 7) {(BBB), (BBG), (BGB), (GBB), (BGG), (GBG), (GGB), (GGG)} 8) {(1, 2, 3,,, 6, 7, 8, 9, 10, 11, 12)} 9) {(2, 3,,, 6, 7, 8, 9, 10, 11, 12, 13, 1, 1, 16, 17, 18, 19, 20, 21, 22, 23, 2)} 60) {(, , 3, 2, 1, 0, 1, 2, 3,, )} 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)} 6) {(true, false)} 6) {(0, 1, 2, 3,,, 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,,, 6, 7, 8, 9, 10, 11, 12)} 69) {(2, 3,,, 6, 7, 8, 9, 10, 11, 12, 13, 1, 1, 16, 17, 18, 19, 20, 21, 22, 23, 2)} 70) {(, , 3, 2, 1, 0, 1, 2, 3,, )} 71) {(YM, YF, NM, NF, UM, UF)} 72) {(MR, TR, WR, HR, FR, SAR, SUR, MN, TN, WN, HN, FN, SAN, SUN)} 73) B 7) B 7) C 76) A 77) D 78) C 79) D 31
32 Answer Key Testname: MATH212CH3_PROBABILITY 80) B 81) A 82) C 83) C 8) C 8) A 86) B 87) D 88) A 89) B 90) D 91) B 92) C 93) D 9) A 9) Maximum effort is 100%. 96) A 97) B 98) B 99) B 100) B 101) B 102) A 103) A 10) A 10) B 106) D 107) C 108) A 109) D 110) D 111) C 112) C 113) B 11) B 11) B 116) D 117) B 118) A 119) P(Aces) = 120) P(2threes) = 121) C = = ) P(all five questions answered correctly) = 1 123) P(all five questions answers incorrect) = = =
33 Answer Key Testname: MATH212CH3_PROBABILITY 12) P(at least one correct) = 1  P(all five answers incorrect) = 1  = = ) P(rain at least one day) = 1  P(no rain all three days) = 1  (0.60)(0.60)(0.60) = ) P(not rain at least one day) = 1  P(rain all three days) = 1  (0.0)(0.0)(0.0) = ) A 128) D 129) B ) ) C 132) C 133) A ) P(Aces) = 13) P(2threes) = 136) A 1 36 = = = ) P(all five questions answered correctly) = = ) P(all five questions answers incorrect) = = ) P(at least one correct) = 1  P(all five answers incorrect) = 110) P(rain at least one day) = 1  P(no rain all three days) = 1  (0.60)(0.60)(0.60) = ) P(not rain at least one day) = 1  P(rain all three days) = 1  (0.0)(0.0)(0.0) = ) A 13) C 1) B 36 1) 36 16) B 17) A 18) A 19) B 10) A 11) A 12) A 13) A = = =
34 Answer Key Testname: MATH212CH3_PROBABILITY 1) A 1) A 16) B 17) B 18) A 19) A 160) A 161) A 162) B 163) D 16) A 16) ) B 167) C 168) A 169) C 170) B 171) D 172) B 173) D 17) C 17) C 176) ) C 178) B 179) C 180) C 181) A 182) C 183) D 18) B 18) D 186) A 187) D 188) C 189) B 190) D 191) A 192) D 193) D 19) B 3
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