"Slightly better" may not say much, and it also might be a bit difficult to apply these percentages (37 - 34 - 29) in practise,
but let me give an example of how the odds should work, if all went according to statistics...
Say, after you have deployed your armies, you have 15 armies on a country, and you
attack to a neighbour country with equal amount of 15 enemy armies. After exactly 13 dice rolls,
the expected situation in those countries should be 3 against 1. At that point, the odds change, of course,
but at least you have a possibility (or two) to take over the country you're attacking to.
So, during those 13 rolls you should've gained advantage of 2 armies, if the dice were rolling according the odds...
Make it 100 attacks, and we're talking about advantage of 16 armies for the attacker.
When in balance in border with massive amount armies, and you know there's going to be a war,
always be the first one to make your move
