Why do I have no icons of people playing games?
The concept is fairly broad - they cast spells by doing things like rolling dice, or drawing cards, or fiddling with video games.
The end result is partially chance, based on the number rolled or card pulled, or what the RNG throws up: You could cast a fireball by rolling a die - a 1 gives a weak ember, a 6 gives a small explosion. (A d20 would have much the same effects, but a higher upper bound and finer gradations.) Or you could draw a card from a standard deck to heal someone - a 2 will keep them alive, but not much else, an Ace will fix scars they've had for their whole life. Or you could get into a fight and pull cards from a Magic: the Gathering deck - pulling a Llanowar Elf will summon a relatively weak ally, pulling a Circle of Protection will put a shield around you, pulling Ball Lightning will...well, that should be obvious.
Which is where the difficulty in statting comes in - I think I really need to restrict the possible abilities to make it a playable character type.