Way back right after the Millennium I played a game of Pacific with a gentleman on Days of Infamy using this type of system. We carried over all less than 6 pips from roll to roll, as pips not equaling 6 never hit, and even from battle to battle. So if I had a remainder of 4 at the end of a battle, my next battle got that 4 added in to any remainder.
It was as close to a “no dice” game we could come up with.
One unintended consequence we found was the ability to “manipulate” battles. You could roll a battle that you were sure of winning that would have a nice remaining total and then use that remainder on a battle that was going to be close and the remainder pushed it over the edge.
Since we only played it once we did not use a system to fix this but when I now do testing using Average Dice I always randomly roll first to determine battle order to avoid this issue.
