934 CHAPTER 13 Counting and Probability 55. Online Purchases According to outerboxdesign.com, 79% of smartphone users have made a purchase online using their mobile device in the last 6 months. If a smartphone user is randomly selected, what is the probability the individual has not made a purchase online using their smartphone? 56. Girl Scout Cookies According to the Girl Scouts of America, 19% of all Girl Scout cookies sold are Samoas/Caramel deLites. If a box of Girl Scout cookies is selected at random, what is the probability that it does not contain Samoas/ Caramel deLites? For Problems 57–60, a golf ball is selected at random from a container. If the container has 9 white balls, 8 green balls, and 3 orange balls, find the probability of each event. 57. The golf ball is white or green. 58. The golf ball is white or orange. 59. The golf ball is not white. 60. The golf ball is not green. 61. On The Price Is Right, there is a game in which a bag is filled with 3 strike chips and 5 numbers. Let’s say that the numbers in the bag are 0, 1, 3, 6, and 9. What is the probability of selecting a strike chip or the number 1? 62. Another game on The Price Is Right requires the contestant to spin a wheel with the numbers 5, 10, 15, 20, . . . , 100. What is the probability that the contestant spins 100 or 30? 47. ( ) ∪ P A B if A B , are mutually exclusive 48. ( ) ∩ P A B if A B , are mutually exclusive 49. If P A P A B 0.60, 0.85, ( ) ( ) = ∪ = and P A B 0.05, ( ) ∩ = find ( ) P B . 50. If P B P A B 0.30, 0.65, ( ) ( ) = ∪ = and P A B 0.15, ( ) ∩ = find ( ) P A . 51. Jury Duty All states use names on voter registration or driver’s license records to select people for jury duty. According to the National Safety Council, in 2022, 7.4% of all licensed drivers were in the age range of 20–24 years.What is the probability that a randomly selected person is not in the age range of 20–24 years? 52. Pet Ownership According to the American Pet Products Manufacturers Association’s National Pet Owners Survey, there is a 67% probability that a U.S. household owns a pet. If a U.S. household is randomly selected, what is the probability that it does not own a pet? 53. YouTube Usage According to Omnicore, there is an 81% probability that an adult in the United States uses YouTube. If a U.S. adult is randomly selected, what is the probability that he or she does not use YouTube? 54. Cards Five Card Stud is a game in which 5 cards are randomly drawn from a standard deck of 52 playing cards. Drawing all 5 cards of the same suit is called a flush, and it has a probability of 0.1965%. What is the probability of not drawing a flush? 63. What is the probability that a household has an annual income of $75,000 or more? 64. What is the probability that a household has an annual income between $25,000 and $74,999, inclusive? 65. What is the probability that a household has an annual income of less than $50,000? 66. What is the probability that a household has an annual income of $50,000 or more? 67. Surveys In a survey about the number of TV sets in a house, the following probability table was constructed: Number of TV sets 0 1 2 3 4 or more Probability 0.05 0.24 0.33 0.21 0.17 Find the probability of a house having: (a) 1 or 2 TV sets (b) 1 or more TV sets (c) 3 or fewer TV sets (d) 3 or more TV sets (e) Fewer than 2 TV sets Problems 63–66 are based on a survey of annual incomes in 100 households. The following table gives the data. Income $0–24,999 $25,000–49,999 $50,000–74,999 $75,000–99,999 $100,000 or more Number of households 22 23 17 12 26 (f) Fewer than 1 TV set (g) 1, 2, or 3 TV sets (h) 2 or more TV sets 68. Checkout Lines Through observation, it has been determined that the probability for a given number of people waiting in line at the “5 items or less” checkout register of a supermarket is as follows: Number waiting in line 0 1 2 3 4ormore Probability 0.10 0.15 0.20 0.24 0.31 Find the probability of: (a) At most 2 people in line (b) At least 2 people in line (c) At least 1 person in line 69. In a certain Algebra and Trigonometry class, there are 18 freshmen and 15 sophomores. Of the 18 freshmen, 10 are men, and of the 15 sophomores, 8 are men. Find the probability that a randomly selected student is: (a) A freshman or a woman (b) A sophomore or a man
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