710 CHAPTER 11 Probability If three envelopes are randomly selected, without replacement, determine the probability that 55. they are all red envelopes. 1 35 56. none is a red envelope. 4 35 57. at least one envelope is a red envelope. 31 35 58. the first is a red envelope, the second is a blue envelope, and the third is a blue envelope. 1 35 Pickleballs In Exercises 59– 62, Camden has a bin full of pickleballs. Half of the pickleballs are yellow and half are orange. Camden selects three pickleballs, with replacement. Assuming independence, determine the probability that 59. all three pickleballs are yellow. 1 8 60. all three pickleballs are orange. 1 8 61. at least one pickleball is orange. 7 8 62. the first pickleball selected is yellow and the other two are orange. 1 8 63. Tossing a Coin Udo tosses a fair coin 5 times. a) Determine the probability that all 5 tosses are heads. 1 32 b) If the first 4 tosses are heads, what is the probability that the fifth toss will be heads? 1 2 64. Tossing a Coin Rainier tosses a fair coin 8 times. a) Determine the probability that all 8 tosses are tails. 1 256 b) If the first 7 tosses are tails, what is the probability that the eighth toss will be tails? 1 2 Baseball Bucket In Exercises, 65– 68, Scott has a bucket containing baseballs. He has 18 Diamond baseballs, 14 Rawlings baseballs, and 4 Wilson baseballs. Scott will randomly select two baseballs from the bucket. Determine the probability of selecting each of the following a) with replacement a) without replacement. 65. a Diamond baseball and then a Wilson baseball a) 1 18 b) 2 35 66. a Wilson baseball and then a Rawlings baseball a) 7 162 b) 2 45 67. no Diamond baseballs a) 1 4 b) 17 70 68. at least one Diamond baseball a) 3 4 b) 53 70 Health Insurance In Exercises 69–72, a sample of 75 people yielded the following information about their health insurance. Number of People Type of Insurance 33 Managed care plan 27 Traditional insurance 15 No insurance Two people who provided information for the table were randomly selected, without replacement. Determine the probability that 69. neither had traditional insurance. 376 925 70. they both had a managed care plan. 176 925 71. at least one had traditional insurance. 549 925 72. the first had traditional insurance and the second had a managed care plan. 297 1850 Hiring An Attorney In Exercises 73–76, a sample of 30 people who recently hired an attorney yielded the following information about their attorneys. Number of People Would You Recommend Your Attorney to a Friend 23 Yes 3 No 4 Not sure Three people who provided information for the table were randomly selected. Determine the probability that 73. they would all recommend their attorneys. 253 580 74. the first would not recommend the attorney, but the second and third would recommend their attorneys. 253 4060 75. the first two would not recommend their attorneys, and the third is not sure if he or she would recommend the attorney. 1 1015 76. the first would recommend the attorney, but the second and third would not recommend their attorneys. 23 4060 Medical Research In Exercises 77–80, a medical research study on a new medicine for multiple sclerosis is being Kat72/Shutterstock
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