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Link: http://codepad.org/y40k8WFC    [ raw code | fork ]

RiskAnalysis - Plain Text, pasted on Sep 28: 
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Output of http://codepad.org/iwY04MTf
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'1 Die diff' is the average amount of armies the aggressor loses minus 
the average amount of armies the defender loses, if the defender rolls 
1 die.
'2 Dice diff' is the average amount of armies the aggressor loses minus 
the average amount of armies the defender loses, if the defender rolls 
2 dice.

A (x,y) battle loss means that the aggressor looses an average of x armies 
and the defender looses an average of y armies.


Aggressor dice: (1, 1) ->  1 Die diff:  1.0000;  2 Dice diff:  2.0000  =>   Use 2: it results in (2.0000,0.0000) battle loss.
Aggressor dice: (1, 2) ->  1 Die diff:  0.6667;  2 Dice diff:  1.9444  =>   Use 2: it results in (1.9722,0.0278) battle loss.
Aggressor dice: (1, 3) ->  1 Die diff:  0.3333;  2 Dice diff:  1.7778  =>   Use 2: it results in (1.8889,0.1111) battle loss.
Aggressor dice: (1, 4) ->  1 Die diff:  0.0000;  2 Dice diff:  1.5000  =>   Use 2: it results in (1.7500,0.2500) battle loss.
Aggressor dice: (1, 5) ->  1 Die diff: -0.3333;  2 Dice diff:  1.1111  =>   Use 2: it results in (1.5556,0.4444) battle loss.
Aggressor dice: (1, 6) ->  1 Die diff: -0.6667;  2 Dice diff:  0.6111  =>   Use 2: it results in (1.3056,0.6944) battle loss.
Aggressor dice: (2, 2) ->  1 Die diff:  0.6667;  2 Dice diff:  1.3333  =>   Use 2: it results in (1.6667,0.3333) battle loss.
Aggressor dice: (2, 3) ->  1 Die diff:  0.3333;  2 Dice diff:  1.1667  =>   Use 2: it results in (1.5833,0.4167) battle loss.
Aggressor dice: (2, 4) ->  1 Die diff:  0.0000;  2 Dice diff:  0.8889  =>   Use 2: it results in (1.4444,0.5556) battle loss.
Aggressor dice: (2, 5) ->  1 Die diff: -0.3333;  2 Dice diff:  0.5000  =>   Use 2: it results in (1.2500,0.7500) battle loss.
Aggressor dice: (2, 6) ->  1 Die diff: -0.6667;  2 Dice diff:  0.0000  =>   Use 2: it results in (1.0000,1.0000) battle loss.
Aggressor dice: (3, 3) ->  1 Die diff:  0.3333;  2 Dice diff:  0.6667  =>   Use 2: it results in (1.3333,0.6667) battle loss.
Aggressor dice: (3, 4) ->  1 Die diff:  0.0000;  2 Dice diff:  0.3889  =>   Use 2: it results in (1.1944,0.8056) battle loss.
Aggressor dice: (3, 5) ->  1 Die diff: -0.3333;  2 Dice diff:  0.0000  =>   Use 2: it results in (1.0000,1.0000) battle loss.
Aggressor dice: (3, 6) ->  1 Die diff: -0.6667;  2 Dice diff: -0.5000  =>   Use 2: it results in (0.7500,1.2500) battle loss.
Aggressor dice: (4, 4) ->  1 Die diff:  0.0000;  2 Dice diff:  0.0000  =>   Use 2: it results in (1.0000,1.0000) battle loss.
Aggressor dice: (4, 5) ->  1 Die diff: -0.3333;  2 Dice diff: -0.3889  =>   Use 1: it results in (0.3333,0.6667) battle loss.
Aggressor dice: (4, 6) ->  1 Die diff: -0.6667;  2 Dice diff: -0.8889  =>   Use 1: it results in (0.1667,0.8333) battle loss.
Aggressor dice: (5, 5) ->  1 Die diff: -0.3333;  2 Dice diff: -0.6667  =>   Use 1: it results in (0.3333,0.6667) battle loss.
Aggressor dice: (5, 6) ->  1 Die diff: -0.6667;  2 Dice diff: -1.1667  =>   Use 1: it results in (0.1667,0.8333) battle loss.
Aggressor dice: (6, 6) ->  1 Die diff: -0.6667;  2 Dice diff: -1.3333  =>   Use 1: it results in (0.1667,0.8333) battle loss.


The average army loss is 0.7735 for the aggressor and 0.7728 for the defender assuming the defender plays the ideal strategy.


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