For me, my individual dice rolls are actually +luck, but my battle outcomes (last 25 games in particular) are overwhelmingly negative. It does seem that regardless of how good or bad my rolls are, the defender always seems to beat me by a little.
Just a note - if you only get 2 guesses, it is way to your advantage to let a couple other people guess first... i don't know if anyone is going to break the ice on this