This page contains a description and the distributions of the different dice options.
The algorithm chooses a random number between 1 and 6 for each die.
Defender loses two: 37.17% of the time.
Each loses one: 33.58% of the time.
Attacker loses two: 29.26% of the time.
Playing with this dice setting approximately doubles the chance of both sides losing one army when rolling 3 vs 2 dice.
The algorithm uses a 130 sided die and two 6 sided dice for the attacker, and two 28 sided dice for the defender. For non 3 vs 2 dice situations (like attacking a territory with only 1 troop on it) the normal dice are used.
Defender loses two: 20.36% of the time.
Each loses one: 67.40% of the time.
Attacker loses two: 12.24% of the time.