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1 Ch. - Problems to look at 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. 1) C) ) A single six-sided die is rolled. Find the probability of rolling a number less than. ) C) ) 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? C) ) 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 C) SHORT ANSWER. Write the word or phrase that best completes each statement or answers the question. 5) Identify the sample space of the probability experiment: shooting a free throw in 5) basketball. S= {make the shot, miss the shot} 6) Identify the sample space of the probability experiment: recording the number of days it 6) snowed in Cleveland in the month of January. S={0,1,,,,5,6,7,...,1} 7) Identify the sample space of the probability experiment: rolling a single 1-sided die with 7) sides numbered 1-1 S={1,,,,5,6,7,8,9,10,11,1} 1

2 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. 8) You roll a six-sided die. Event B is rolling an even number. 8) ; Not a simple event because it is an event that consists of more than a single outcome. ; 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. ; Simple event because the die is only rolled once. 9) You randomly select one card from a standard deck. Event B is selecting the ace of hearts. 9) 1; Simple event because it is an event that consists of a single outcome. ; Simple event because only one card is selected. C) ; Not a simple event because it is an event that consists of more than a single outcome. ; Not a simple event because it is an event that consists of more than a single outcome. Provide an appropriate response. 10) Which of the following cannot be a probability? 10) C) ) Rank the probabilities of 10%, 1, and 0.06 from the least likely to occur to the most likely to occur. 5 11) 1 5, 10%, , 10%, 1 5 C) 0.06, 1 5, 10% 10%, 1 5, ) Classify the events as dependent or independent. Events A and B where 1) P( = 0.7, P( = 0.7, and P(A and = 0.9 dependent independent ) Classify the events as dependent or independent. Events A and B where ) P( = 0.8, P( = 0.1, and P(A and = 0.07 dependent independent

3 1) A group of students were asked if they carry a credit card. The responses are listed in the table. 1) 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 C) ) A group of students were asked if they carry a credit card. The responses are listed in the table. 15) 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 C) ) You are dealt two cards successively without replacement from a standard deck of 5 playing 16) 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 C) SHORT ANSWER. Write the word or phrase that best completes each statement or answers the question. 17) Find the probability of getting four consecutive aces when four cards are drawn without 17) replacement from a standard deck of 5 playing cards. =(/5)+(/5)+(/5)+(1/5) = MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question. 18) Decide if the events A and B are mutually exclusive or not mutually exclusive. A die is rolled. 18) A: The result is an odd number. B: The result is an even number. mutually exclusive not mutually exclusive

4 19) Decide if the events A and B are mutually exclusive or not mutually exclusive, A die is rolled. 19) A: The result is a. B: The result is an odd number. not mutually exclusive mutually exclusive 0) Decide if the events A and B are mutually exclusive or not mutually exclusive. A card is drawn 0) from a standard deck of 5 playing cards. A: The result is a 7. B: The result is a jack. not mutually exclusive mutually exclusive 1) A card is drawn from a standard deck of 5 playing cards. Find the probability that the card is an 1) ace or a king. 1 8 C) ) A card is drawn from a standard deck of 5 playing cards. Find the probability that the card is an ) ace or a black card C) 6 5 ) The events A and B are mutually exclusive. If P( = 0.6 and P( = 0., what is P(A or? ) C) 0. 0 ) The table lists the smoking habits of a group of college students. ) Sex Non-smoker Regular Smoker Heavy Smoker Total Man Woman Total 91 0 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 C) ) The events A and B are mutually exclusive. If P( = 0. and P( = 0., what is P(A and? 5) C) 0 0.7

5 Solve the problem. 6) There are balls in a hat; one with the number on it, one with the number on it, and one with 6) the number 9 on it. You pick a ball from the hat at random and then you flip a coin. Using a tree diagram, obtain the sample space for the experiment. List the elements that make up the sample space. 9 H, 9 T H, H, 9 H C) H T, H T, 9 H T H, T, H, T, 9 H, 9 T 7) Which of the following events are mutually exclusive? 7) being a college student and being a high school graduate being a steelworker and being a stamp collector C) being a mother and being an uncle living in Baltimore and working in Washington, D.C. 8) Two events A and B are mutually exclusive if 8) A B = U. A B =. C) A B = U. A B =. 9) Two fair die are rolled. What is the probability that the numbers that appear are both? 9) C) ) Let E and F are mutually exclusive and Pr(E) = 0. and Pr(F) = 0.6. Find Pr(E F). 0) C)

6 A basket contains five red balls, four white balls and three blue balls. Two balls are drawn, one after the other, with the first ball replaced before the second is drawn. 1) Find the probability of drawing two white balls. 1) 1 9 C) 1 = 1 1 = Solve the problem. ) Two coins are tossed 0 times and the number of tails is observed. ) Outcome tails 1 tail 0 tails Frequency 7 10 Compute the empirical probability that exactly one tail occurred. 1 7 C) Estimate the indicated probability. ) The table shows the number of college students who prefer a given pizza topping. ) toppings freshman sophomore junior senior cheese meat veggie Determine the empirical probability that a junior prefers meat toppings C) Find the probability. ) A bag contains red marbles, blue marbles, and 8 green marbles. What is the probability of ) choosing a blue marble? 7 C)

7 5) Determine the probability that the spinner lands on white. 5) 1 1 C) 1 1 6) A fair die is rolled. What is the probability of rolling an odd number or a number less than? 6) 1 C) ) A bag contains 8 red marbles, blue marbles, and 1 green marble. What is the probability of 7) choosing a marble that is not blue? 9 9 C) Solve the problem. 8) If a single fair die is rolled, find the probability of a given that the number rolled is odd. 8) C) 1 1 Two marbles are drawn without replacement from a box with white, green, red, and 1 blue marble. Find the probability. 9) The second marble is white given the first marble is blue. 9) C)

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