758 CHAPTER 11 Probability Color Chips In Exercises 57– 60, a bag contains five red chips, three white chips, and two blue chips. Three chips are to be randomly selected, without replacement. Determine the probability that 57. all are red. 1 12 58. the first two are red and the third is blue. 1 18 59. the first is red, the second is white, and the third is blue. 1 24 60. at least one is red. 11 12 Magazines In Exercises 61– 64, on a table in a doctor’s office are five Motor Trend magazines, six Parenting magazines, and three Sports Illustrated magazines. If Ramona randomly selects three magazines, determine the probability that 61. three Motor Trend magazines are selected. 5 182 62. two Parenting magazines and one Sports Illustrated magazine are selected. 45 364 63. no Parenting magazine is selected. 2 13 64. at least one Parenting magazine is selected. 11 13 65. New Homes In the community of Spring Hill, 60% of the homes purchased cost more than $300,000. a) Write the binomial probability formula to determine the probability that exactly x of the next n homes purchased in Spring Hill cost more than $300,000. P x C ( ) ( )(0.6) (0.4) n x x n x = − b) Write the binomial probability formula to determine the probability that exactly 50 of the next 100 homes purchased in Spring Hill cost more than $300,000. P C (50) ( )(0.6) (0.4) 100 50 50 50 = c) Evaluate the formula written in part b). Round your answer to five decimal places. 0.01034 66. Long-Stemmed Roses At Floyd’s Flower Shop, 1 5 of people ordering flowers select long-stemmed roses. Determine the probability that exactly 3 of the next 5 customers ordering flowers select long-stemmed roses. 0.0512 67. Taking a Math Course During any semester at City College, 60% of the students are taking a mathematics course. Determine the probability that of five students randomly selected, a) none are taking a mathematics course this semester. 0.01024 b) at least one is taking a mathematics course this semester. 0.98976 Test CHAPTER 11 1. Doughnuts Of the last 25 people who purchased a doughnut at Dunkin’, 11 purchased a glazed doughnut. Determine the empirical probability that the next person who purchases a doughnut at Dunkin’ purchases a glazed doughnut. 11 25 One Sheet of Paper In Exercises 2– 4, each of the numbers 1–9 is written on a sheet of paper and the nine sheets of paper are placed in a hat. If one sheet of paper is randomly selected from the hat, determine the probability that the number selected is 2. greater than 5. 4 9 3. odd. 5 9 4. even or less than 4. 2 3 Two Sheets of Paper In Exercises 5–7, if two of the same nine sheets of paper mentioned above are selected, without replacement, from the hat, determine the probability that 5. both numbers are less than 3. 1 36 6. the first number is odd and the second number is even. 5 18 7. neither of the numbers is greater than 6. 5 12 8. One card is randomly selected from a standard 52-card deck. Determine the probability that the card selected is a red card or a face card. 8 13 One Chip and One Die In Exercises 9–13, one colored chip—red, blue, or green—is randomly selected and a fair die is rolled. 9. Use the fundamental counting principle to determine the number of sample points in the sample space. 18 10. Construct a tree diagram illustrating all the possible outcomes and list the sample space. * In Exercises 11–13, by observing the sample space of the chips and die mentioned above, determine the probability of obtaining 11. a green chip and the number 2. 1 18 12. a red chip or the number 1. 4 9 13. a chip other than a red chip or an even number. 5 6 14. Passwords A personal password for an Internet brokerage account is to consist of an uppercase letter, followed by two digits, followed by two uppercase letters. Determine the number of personal codes possible if the first digit cannot be zero and repetition is permitted. 1,581,840 *See Instructor Answer Appendix
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