A-38 ANSWERS 25. a) 0.02642 b) 0.10737 c) 0.89263 27. a) 0.11188 b) 0.29663 29. a) 0.93571 b) 0.89263 c) 0.82510 d) 0.77870 e) 0.75158 f) 0.75158 REVIEW EXERCISES, PAGE 755 1. Answers will vary. 2. Answers will vary. 3. 8 9 4. Answers will vary. 5. 8 25 6. 1 2 7. 4 5 8. 1 9. 1 5 10. 7 20 11. 13 60 12. 19 30 13. 17 20 14. a) 69 : 31 b) 31: 69 15. 5: 3 16. 3 85 17. 3:1 18. a) $1.20 − b) $3.60 − 19. a) $0.23 − b) $0.23 c) Lose $23.08 20. 660 people 21. $4.00 22. $3.50 23. a) T J G C J T G C G T J C C T J G b) Sample Space TJ TG TC JT JG JC GT GJ GC CT CJ CG c) 1 12 24. a) H 1 2 3 4 T 1 2 3 4 b) Sample Space H1 H2 H3 H4 T1 T2 T3 T4 c) 1 4 d) 3 4 25. 1 4 26. 9 64 27. 5 16 28. 7 8 29. 1 30. 3 16 31. 1 22 32. 14 55 33. 41 55 34. 1 22 35. 5 8 36. In favor, 3: 5; against, 5: 3 37. $3.75 38. 7 8 39. 3 20 40. 5 6 41. 3 22 42. 1 2 43. 23 40 44. 3 17 45. 3 4 46. 12 17 39. a) 362,880 b) 100,800 c) 60,480 41. 720 43. 15,120 45. 524,160 47. 362,880 49. 50,400 51. 22,680 53. 630 55. 61 ballots 57. 12,600 sec, or 3.5 hr 59. 56 60. 600 61. a) 360 b) CHOICE 62. a) 2520 b) STUDENT SECTION 11.8, PAGE 736 1. Combination 3. Permutations 5. a) Permutation b) Combination 7. 10 9. a) 15 b) 360 11. a) 1 b) 1 13. a) 120 b) 720 15. 1 26 17. 4 143 19. 1 30 21. 120 23. 15 25. 56 27. 13,983,816 29. 495 31. 24 33. 378,378 35. 16,170 37. 6930 39. 2016 41. 700 43. 600 45. a) 45 b) 56 47. a) 1 1 1 1 2 1 1 3 3 1 1 4 6 4 1 1 5 10 10 5 1 b) 49. a) 24 b) 24 51. a) 2,598,960 b) 15,820,024,220 c) 635,013,559,600 d) 42,504 e) 69,668,534,468 52. a) 1,082,900 b) 1,353,625 c) 1,625,350 53. a) The order is important. Since the numbers may be repeated, it is not a true permutation lock. b) 64,000 c) 59,280 SECTION 11.9, PAGE 741 1. C C 12 4 20 4 3. C C 4 3 52 3 5. C C 8 5 15 5 7. C C 23 5 120 5 9. 1 26 11. 4 143 13. 1 30 15. 40 143 17. 3 10 19. 7 10 21. 0.1434 23. 0.0244 25. 2 33 27. 4 33 29. 144 81,719 31. a) 1 123,760 b) 1 30,940 33. 2197 33,320 35. 44 159 37. a) 33 54,145 b) 1 2,598,960 39. a) 1 2,162,160 b) 1 6435 41. 1; Since there are more people than options, two or more people must have the same number of hairs on their head. SECTION 11.10, PAGE 751 1. Trials 3. Success 5. 0.08192 7. 0.32922 9. 0.015625 11. a) P x C ( ) ( )(0.14) (0.86) n x x n x = − b) P C (2) ( )(0.14) (0.86) 12 2 2 10 = c) 0.28628 13. a) 0.00977 b) 0.24609 c) 0.00977 15. a) 0.4096 b) 0.5904 17. 0.82324 19. 0.27869 21. 0.06877 23. 0.36603
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