how lucky?
no idea but you would need to deal 600 damage in 20 seconds
at max upgrades, the cooldown is 1 second and you get 5 air dice with 4-7 damage each
that means the absolute minimum you can do to the final boss is 400 damage (20*5*4)
to kill him, at minimum, you need to get all 6s or any combinations of 7s and 5s that adds up to 600
i was going to do a bunch of math to figure out the chances but i realized it's more complicated than i initially thought, so my answer: very lucky.