Educated people handle ideas more complex than this all the time. We have a more complicated understanding of football than we do genetics and evolution. Nobody thinks just the quarterback wins the game.
The best way to guarantee good dice, in my experience anyway, is the consumption of HEAVY amounts of bleach before each turn. Then, when your opponent is motionless, you can pretty much do whatever you want.
*NOTE: Do NOT drink the bleach yourself, no matter how much your marriage resembles a Stalin Era Siberian gulag. Actually...scratch that. It may be the best option.