This isn't a topic complaining about the dice. I have no problem with them, even when I'm unlucky.
So:
Some dice based board games sometimes use a pack of cards, rather than a dice roll. Say a pack of 36 cards with 6 "1 cards", 6 "two cards" etc. Once a card has been drawn, the chances of it being drawn again are reduced- there are now only 5 cards with "6", for example.
I don't think that this system could work here, but some people clearly think that probability works that way anyway. Would it increase the skill factor, or is accounting for luck and important part of skill?