ANSWERS A-37 61. 7 8 63. a) 1 32 b) 1 2 65. a) 1 18 b) 2 35 67. a) 1 4 b) 17 70 69. 376 925 71. 549 925 73. 253 580 75. 1 1015 77. 70 253 79. 7 253 81. 1 24 83. 5 12 85. 0.75 87. No 89. 0.36 91. 0.36 93. No 95. 0.00004 97. 0.000999 99. 14 45 101. Favors dealer. The probability of at least one diamond is 0.44, ≈ which is less than 0.5. 103. 1 9 104. 1 4 105. 1 2 106. 1 107. Answers will vary. SECTION 11.6, PAGE 716 1. Conditional 3. 3 7 5. a) 1 4 b) 1 2 7. a) 2 13 b) 2 3 9. a) 1 6 b) 1 3 11. a) 1 2 b) 1 3 13. a) 1 3 b) 0 15. 3 4 17. 1 19. 2 3 21. 3 5 23. 1 2 25. 3 5 27. 1 7 29. 1 16 31. 1 7 33. 1 18 35. 0 37. 2 3 39. a) 23 45 b) 3 5 41. a) 5 9 b) 15 23 43. a) 0.5941 b) 0.6251 45. a) 0.3425 b) 0.3605 47. 7 13 49. 4 15 51. 11 15 53. 34 55 55. 59 80 57. 72 131 59. 10 11 61. 3 19 63. 44 47 65. 0.5248 67. 0.6190 69. 0.1722 71. 93 200 73. 15 52 75. a) 140 b) 120 c) 7 10 d) 3 5 e) 2 3 f) 4 7 g) Because PAB PA PBA PB ( ) ( ) and ( ) ( ). | ≠ | ≠ 77. a) 0.3 b) 0.5 c) PAB PA PBA PB Yes; ( ) ( ) and ( ) ( ). | = | = 78. 1 3 79. 1 2 80. 1 3 81. 1 3 82. 1 83. 1 3 SECTION 11.7, PAGE 728 1. Permutation 3. n! 5. n n r ! ( )! − 7. P5 3 9. 720 11. 1 13. 6 15. 1 17. 24 19. 1680 21. 10,000 23. 24 25. 280 27. a) 1,000,000 b) 1 1,000,000 0.000001 = 29. a) 17,576,000 b) 11,232,000 31. a) 120 b) 120 c) 24 d) 6 33. a) 40,320 b) 1 40,320 35. a) 720 b) 1 30 37. a) 676,000 b) 468,000 c) 104,000 d) 421,200 23. a) 18 b) W WRN WGK PRN PRK PBN PBK PGN PGK YRN YRK YBN YBK YGN YGK WRK WBN WBK WGN Sample Space P Y R B G R B G R B G N K N K N K N K N K N K N K N K N K c) 1 18 d) 1 3 e) 2 3 25. a) H T H T T H H T H H T T H T HTH HTT HHH HHT THH THT TTH TTT Sample Space b) 7 :1 c) 7 :1 d) 1: 7 e) 1:1 27. a) 1 3 b) 2 :1 c) 2 3 d) No, the probability of selecting a red chip is not the same as the probability of selecting a white chip. e) Answers will vary. 29. 3; 1 red, 1 blue, and 1 brown 30. 5 faces 31. a) 120 b) STORE 32. a) 720 b) BASKET SECTION 11.5, PAGE 707 1. Compound 3. And 5. Independent 7. Independent 9. 4 5 11. 3 5 13. 0.6 15. 0.1 17. 0.4 19. 1 3 21. 2 3 23. Mutually exclusive; 2 23 25. Not mutually exclusive; 4 13 27. Not mutually exclusive; 8 13 29. a) 1 16 b) 1 19 31. a) 1 16 b) 5 76 33. a) 1 40 b) 1 38 35. a) 9 25 b) 33 95 37. 11 20 39. 2 5 41. 1 8 43. 9 64 45. 3 32 47. 15 32 49. 3 7 51. 16 49 53. 33 49 55. 1 35 57. 31 35 59. 1 8
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