I did a small sample analysis, has anybody else done something similar? It seems to point out two things.
1) I may need a bigger sample
2) The attacker is at a disadvantage for rolling higher numbers

These are the percentages for the attacker or the defender rolling a specific value. Assuming a fair random generator, all the values should show up 16.67% of the time.

Die combined attacker defender
1 17.36% 18.26% 16.17%
2 17.04% 17.13% 16.92%
3 17.52% 15.17% 20.68%
4 16.24% 17.42% 14.66%
5 16.24% 17.98% 13.91%
6 15.59% 14.04% 17.67%
total 622 356 266

I took this from 1 or 2 games on one of the low point tables. Obviously there were more attacker dice(356) than defender dice(266).
But if the attacker has a 17.67% chance of getting a 6 and the attacker only has a 14.04% chance. Obviously the attacker is going to lose more rolls than if the attacker and defender had an equal chance.
Similarly if the attacker rolls 1 18.26% of the time, but the defender only rolls a 1 16.17% of the time then the attacker is going to lose more often.

Anybody else notice this?