670 CHAPTER 11 Probability 57. Coca-Cola. 4 11 58. Diet Pepsi. 1 11 59. not Coca-Cola. 7 11 60. not Diet Pepsi. 10 11 61. a diet soda. 3 11 62. Dr Pepper or Mountain Dew. 4 11 Salsa In Exercises 63–70, refer to the following table which contains information about 36 jars of salsa available at the Meals for Millions Food Pantry. Brand Mild Medium Hot Total Frontera 6 3 1 10 Herdez 5 4 2 11 La Victoria 7 8 0 15 Total 18 15 3 36 If a jar is randomly selected, determine the probability that the salsa is 63. Frontera. 5 18 64. a medium salsa. 5 12 65. not Frontera. 13 18 66. not a medium salsa. 7 12 67. a mild or medium salsa. 11 12 68. Herdez or La Victoria. 13 18 69. La Victoria hot salsa. 0 70. Herdez hot salsa. 1 18 Concept/Writing Exercises 71. The theoretical probability of a coin toss being heads is . 1 2 Does this probability mean that if a coin is tossed two times, one toss will be heads? If not, what does it mean? * 72. The theoretical probability of rolling a 4 on a fair die is . 1 6 Does this probability mean that if a die is rolled six times one 4 will appear? If not, what does it mean? No, it means that if a die were rolled many times, about 1 6 of the outcomes would be 4’s. 73. a) Explain how you would determine the empirical probability of rolling a 5 on a die. Roll a die many times and then determine the relative frequency of 5’s to the total number of rolls. b) What do you believe is the empirical probability of rolling a 5? Answers will vary. c) Determine the empirical probability of rolling a 5 by rolling a die 40 times. Answers will vary. 74. To determine premiums, life insurance companies must compute the probable date of death. On the basis of a great deal of research, Duncan, age 36, is expected to live another 43.21 years. Does this determination mean that Duncan will live until he is 79.21 years old? If not, what does it mean? No, it means that the average person with traits similar to Duncan’s will live another 43.21 years. Challenge Problems/Group Activities Bean Bag Toss In Exercises 75–82, a bean bag is randomly thrown onto the square table top shown below and does not touch a line. Determine the probability that the bean bag lands on 75. a red area. 13 36 76. a green area. 11 36 77. an area that is not red. 23 36 78. an area that is not green. 25 36 79. a yellow area. 1 3 80. a red or green area. 2 3 81. a yellow or green area. 23 36 82. a red or yellow area. 25 36 83. Toss a Coin Toss a coin 50 times and record the results. Determine the empirical probability of tossing a) a head. Answers will vary. b) a tail. Answers will vary. c) Does the probability of tossing a head appear to be the same as tossing a tail? Answers will vary. 84. Pair of Dice Roll a pair of dice 60 times and record the sums. Determine the empirical probability of rolling a sum of a) 2. Answers will vary. b) 7. Answers will vary. c) Does the probability of rolling a sum of 2 appear to be the same as the probability of rolling a sum of 7? Answers will vary. 85. Roll a Die Roll a die 50 times and record the results. Determine the empirical probability of rolling a) a 1. Answers will vary. b) a 4. Answers will vary. c) Does the probability of rolling a 1 appear to be the same as the probability of rolling a 4? Explain. Answers will vary. 86. Two Coins Toss two coins 50 times and record the number of times exactly one head was obtained. Determine the empirical probability of tossing exactly one head. Answers will vary. *See Instructor Answer Appendix Spiroview Inc/Shutterstock
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