2 D looses one armee so A looses 2 armees and D looses 1 finally neither side can through more dice than they have available for fighting, and A always has to keep 1 armee to occupy the country, so for example if A has 3 armees and D has one, A throws 2 dice and D throws 1. Example A 4 2 D 4, 4$\ge$4, so A looses 1 armee. Finally if D has lost all his armees he looses the country and A takes it over. if A has only one armee left he can no longer attack. A can decide to stop attacking at any time. Now here is our problem: we want to find a "simple" rule that we can use during an actual game that tells us the odds of winning if the Attacker has n armees for the attack and the defender has m.