Luck plays an important role in this game, and no amount of strategy can compensate for terrible dice in a single game. However, in the long run, the dice ARE truly random, and will balance out.
Bad luck happens. In this
Game 2103068, my opponent captured an artillery, and with 5 armies did this:
2008-03-27 17:38:23 - lduffin bombarded Wellington from Imperial Guard 04 and annihilated snoopdobb's armies
2008-03-27 17:38:37 - lduffin bombarded Uxbridge 02 from Imperial Guard 04 and annihilated snoopdobb's armies
2008-03-27 17:38:43 - lduffin bombarded Ziethen 05 from Imperial Guard 04 and annihilated snoopdobb's armies
2008-03-27 17:38:45 - lduffin bombarded Ziethen 05 from Imperial Guard 04 and annihilated neutral player's armies
2008-03-27 17:38:59 - lduffin bombarded Uxbridge 05 from Imperial Guard 04 and annihilated snoopdobb's armies
2008-03-27 17:39:08 - lduffin bombarded Uxbridge 06 from Imperial Guard 04 and annihilated snoopdobb's armies
2008-03-27 17:39:28 - lduffin bombarded Picton 07 from Imperial Guard 04 and annihilated snoopdobb's armies
2008-03-27 17:39:34 - lduffin bombarded Picton 05 from Imperial Guard 04 and annihilated snoopdobb's armies
2008-03-27 17:40:15 - lduffin bombarded Ziethen 01 from Imperial Guard 04 and annihilated snoopdobb's armies
2008-03-27 17:40:20 - lduffin bombarded Ziethen 02 from Imperial Guard 04 and annihilated snoopdobb's armies
2008-03-27 17:40:23 - lduffin bombarded Ziethen 04 from Imperial Guard 04 and annihilated snoopdobb's armies
2008-03-27 17:45:50 - lduffin bombarded Picton 06 from Imperial Guard 04 and annihilated snoopdobb's armies
2008-03-27 17:45:58 - lduffin bombarded Picton 04 from Imperial Guard 04 and annihilated snoopdobb's armies
2008-03-27 17:46:10 - lduffin bombarded Picton 01 from Imperial Guard 04 and annihilated snoopdobb's armies
(Several of those had 2 armies defending, and i think Wellington had 3!)
And still had 3 armies left! There is NOTHING you can do about this. However, such runs of luck are rare, and can be expected to happen TO you, not just AGAINST you. The idea of the original post is to determine which game settings (cards, reinforcement, fog of war, number of players, etc) reduce the chances of your opponent getting lucky. For example, escalating cards greatly increase the role that luck will play in a game, since a couple lucky cards (or lucky rolls to eliminate a player) could mean a HUGE difference in the whole game. For this reason, I try to avoid playing games with escalating cards. As I mentioned, I prefer no cards, as this means that your opponent can't get lucky and get two 10 army card sets in a row, which can RUIN your game.
Just try to play through the bad luck. It will turn around. I get very lucky and very UNlucky every day on this site.
-snoop