This pains me.
One time in a tabletop DND game, the party wiped over bad rolls. It was partly my fault for over tuning the fight, but also bad luck. The party had a potion that was like "you can make an extra full attack this turn, all your hits do an extra 1d10, and you're hasted. Afterwards, you are paralyzed for 1d4+1 turns".
Fighter drinks it and proceeded to miss like 6 attacks in a row. I think he needed to roll above like 13 and just couldn't do it.
This is also why I prefer games that give players more tools to tell the dice to fuck off, like fate points in Fate or willpower in CofD.