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The Mathematical Odds of Combat in DBA

By Michael Viacroze

Attached is a chart which summarizes the results of combat, the 36 possibilities for each pair of die roll depending of the modifier of each opponent. Columns provide the attacker's modifier; the rows (lines) are the defender's modifier. Results are listed as percentages in the following order (left to right): Defender doubled; defender defeated but not doubled, stay/push, attacher defeated but not doubled, attacker doubled.

    Déf.                            
    -2 -1 0 1 2 3 4 5 6 7 8 9 10 11  
Att. -2 42-6-11-6-36 25-6-11-11-47 11-6-11-14-58 3-6-8-17-67 0-3-6-17-75 0-0-3-14-83 0-0-0-11-89 0-0-0-6-94 0-0-0-3-97 0-0-0-0-100 0-0-0-0-100 0-0-0-0-100 0-0-0-0-100 0-0-0-0-100 -2
  -1 50-11-11-6-22 33-11-14-11-31 17-11-14-17-42 6-11-11-22-50 0-8-8-25-58 0-3-6-25-67 0-0-3-22-75 0-0-0-17-83 0-0-0-11-89 0-0-0-6-94 0-0-0-3-97 0-0-0-0-100 0-0-0-0-100 0-0-0-0-100 -1
  0 58-14-11-6-11 42-17-14-11-17 25-17-17-17-25 11-17-14-25-33 3-14-11-31-42 0-8-8-33-50 0-3-6-33-58 0-0-3-31-67 0-0-0-25-75 0-0-0-17-83 0-0-0-11-89 0-0-0-6-94 0-0-0-3-97 0-0-0-0-100 0
  1 67-17-8-6-3 50-22-11-11-6 33-25-14-17-11 17-25-17-25-17 6-22-14-33-25 0-17-11-39-33 0-8-8-42-42 0-3-6-42-50 0-0-3-39-58 0-0-0-33-67 0-0-0-25-75 0-0-0-17-83 0-0-0-11-89 0-0-0-6-94 1
  2 75-17-6-3-0 58-25-8-8-0 42-31-11-14-3 25-33-14-22-6 11-31-17-31-11 3-25-14-42-17 0-17-11-47-25 0-8-8-50-33 0-3-6-50-42 0-0-3-47-50 0-0-0-42-58 0-0-0-33-67 0-0-0-25-75 0-0-0-17-83 2
  3 83-14-3-0-0 67-25-6-3-0 50-33-8-8-0 33-39-11-17-0 17-42-14-25-3 6-36-17-36-6 0-28-14-47-11 0-17-11-56-17 0-8-8-58-25 0-3-6-58-33 0-0-3-56-42 0-0-0-50-50 0-0-0-42-58 0-0-0-33-67 3
  4 89-11-0-0-0 75-22-3-0-0 58-33-6-3-0 42-42-8-8-0 25-47-11-17-0 11-47-14-28-0 3-39-17-39-3 0-28-14-53-6 0-17-11-61-11 0-8-8-67-17 0-3-6-67-25 0-0-3-64-33 0-0-0-58-42 0-0-0-50-50 4
  5 94-6-0-0-0 83-17-0-0-0 67-31-3-0-0 50-42-6-3-0 33-50-8-8-0 17-56-11-17-0 6-53-14-28-0 0-42-17-42-0 0-28-14-56-3 0-17-11-67-6 0-8-8-72-11 0-3-6-75-17 0-0-3-72-25 0-0-0-67-33 5
  6 97-3-0-0-0 89-11-0-0-0 75-25-0-0-0 58-39-3-0-0 42-50-6-3-0 25-58-8-8-0 11-61-11-17-0 3-56-14-28-0 0-42-17-42-0 0-28-14-58-0 0-17-11-69-3 0-8-8-78-6 0-3-6-81-11 0-0-3-81-17 6
  7 100-0-0-0-0 94-6-0-0-0 83-17-0-0-0 67-33-0-0-0 50-47-3-0-0 33-58-6-3-0 17-67-8-8-0 6-67-11-17-0 0-58-14-28-0 0-42-17-42-0 0-28-14-58-0 0-17-11-72-0 0-8-8-81-3 0-3-6-86-6 7
  8 100-0-0-0-0 97-3-0-0-0 89-11-0-0-0 75-25-0-0-0 58-42-0-0-0 42-56-3-0-0 25-67-6-3-0 11-72-8-8-0 3-69-11-17-0 0-58-14-28-0 0-42-17-42-0 0-28-14-58-0 0-17-11-72-0 0-8-8-83-0 8
  9 100-0-0-0-0 100-0-0-0-0 94-6-0-0-0 83-17-0-0-0 67-33-0-0-0 50-50-0-0-0 33-64-3-0-0 17-75-6-3-0 6-78-8-8-0 0-72-11-17-0 0-58-14-28-0 0-42-17-42-0 0-28-14-58-0 0-17-11-72-0 9
  10 100-0-0-0-0 100-0-0-0-0 97-3-0-0-0 89-11-0-0-0 75-25-0-0-0 58-42-0-0-0 42-58-0-0-0 25-72-3-0-0 11-81-6-3-0 3-81-8-8-0 0-72-11-17-0 0-58-14-28-0 0-42-17-42-0 0-28-14-58-0 10
  11 100-0-0-0-0 100-0-0-0-0 100-0-0-0-0 94-6-0-0-0 83-17-0-0-0 67-33-0-0-0 50-50-0-0-0 33-67-0-0-0 17-81-3-0-0 6-86-6-3-0 0-83-8-8-0 0-72-11-17-0 0-58-14-28-0 0-42-17-42-0 11
    -2 -1 0 1 2 3 4 5 6 7 8 9 10 11  


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Last Updated: Dec. 26, 2001.

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