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ladle seeding, probability

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Dec 4th, 2013
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  1. ________________________________
  2. 0 seeds:
  3. ________________________________
  4.  
  5. a) Probability of facing a noob team in match 1:
  6.  
  7. 11/15 = 0.733333333333
  8.  
  9. 73.3%
  10.  
  11.  
  12. b) Probability of facing a noob team in match 2:
  13.  
  14. (11/15)*(10/14)*(9/13) = 0.362637362637
  15.  
  16. 36.3%
  17.  
  18.  
  19. c) Probability of facing a noob team in match 3:
  20.  
  21. (11/15)*(10/14)*(9/13)*(8/12)*(7/11)*(6/10)*(5/9) =
  22. = 0.0512820512821
  23.  
  24. 5.12%
  25.  
  26.  
  27. ________________________________
  28. 2 seeds:
  29. ________________________________
  30.  
  31. a) Probability of facing a noob team in match 1:
  32.  
  33. ((2/14) + (12/14) * (2/13)) = 0.274725274725 = 27.5%
  34.  
  35. 1-0.274725274725 = 0.725274725275 = 72.5%
  36.  
  37. (2/14) means you have a 2/14 (14.3%) chance of being put
  38. against one of the 2 seeds.
  39. (12/14)*(2/13) means there's an additional 13.2% chance of
  40. being put against a total pro, unseeded team.
  41.  
  42.  
  43.  
  44. b) Probability of facing a noob team in match 2:
  45.  
  46. 8/14 * 11/13 * 10/12 * 9/11 = 0.32967032967
  47.  
  48. 33%
  49.  
  50. c) Probability of facing a noob team in match 3:
  51.  
  52. 0.00000% (there's a seeded team on each side of the bracket).
  53.  
  54.  
  55. ________________________________
  56. 4 seeds:
  57. ________________________________
  58.  
  59. a) Probability of facing a noob team in match 1:
  60.  
  61. 4/16 (25%) are seeded total pro teams and spread out.
  62. 4/12 (33.3%) chance you're next to a seeded total pro team and lose.
  63. 8/12 (66.7%) chance you're next to a total noob team and move on.
  64.  
  65.  
  66. b) Probability of facing a noob team in match 2:
  67.  
  68. 0.00000% (tough luck)
  69.  
  70.  
  71. ________________________________
  72. 8 seeds:
  73. ________________________________
  74.  
  75.  
  76. a) Probability of facing a noob team in match 1:
  77.  
  78. 0.00000% (ouch. let's not have 8 seeds)
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