A3: In my area of mathematics, I would avoid luck-based mechanics at all costs. UNLESS, luck and probably WAS the lesson of the day. Then the sky is the limit on all the fun ways luck could be made into a game system. This example image below is an easy "what does more expected damage?" #LevelUpEDU

I dig these "fuzzy" hitboxes on the hammers. When's the patch, Nintendo!?

This image is old and needs to be updated to be 5x5.
New Games I'd Add:
Fortnite
A Hat in Time
Legend of Zelda: Breath of the Wild
Vampire Survivors
Halo Reach
Pacman ChampionShip Ed
ClusterTruck
No Man's Sky
Subnautica
Sonic Mania
Portal 2
Rayman Legends
Outer Wilds
Slap City
Mario Kart 8 Deluxe

I'm not sure the best way to display some sources. So here are pictures of what I've read.