Saturday, April 18, 2009

Strategy Tips: More Dice Probability

Probabilities of winning a dice roll in Risk
(various die combinations)
one die two dice three dice
Defender one
Attacker wins 41.67% 57.87% 65.97%
Defender wins 58.33% 42.13% 34.03%
Attacker wins 25.46% 22.76% 37.17%
Defender wins 74.54% 44.83% 29.26%
Both win one n/a 32.41% 33.58%

Here's a chart I got from Wikipedia. According to this, the attacker always has the advantage statistically. This chart excludes the use of 8-sided dice as well.

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