"Better" Dice?

This is a concept I’ve been developing for quite a while: how can we make probability feel better when rolling dice?In one game, my opponent rolled around 80 ones and 50 sixes. Statistically possible? Yes. Satisfying or fair-feeling? Not at all. That kind of extreme swing is just part of natural randomness — but it often feels broken.Inspired by Gloomhaven’s card-based system (where drawing bad cards increases your chance of good ones later), I started thinking: how could we apply a similar mechanic while still using dice?Here’s the idea:Instead of rolling regular dice, you use six special dice — each with only one number (1–6) repeated on all sides.These go into a bag.Instead of rolling, you draw a die from the bag.You don’t immediately put it back.Once you've drawn at least one of each number (a full “set” from 1 to 6), you return all full sets to the bag.If you ever run out of dice, simply throw them all back in.This creates a probability curve that naturally balances itself ove