It's just like playing XCOM. Basic math says there's a 95% chance of something bad not happening? You'd better believe it's happening every single session!

I prefer Fate's system:

When you don't like your roll, you can either reroll or take a flat bonus. Because Fate is a dice pool instead of flat-probability-1d20, if you do take the reroll to make up for an atrocious roll, you're less likely to get another atrocious roll. Usually you just need the little bump to make a difference.

D&D 5e has a similar system.

I bet it comes up approximately 1/20 times it'd used.

I was thinking of that as a house rule for Mutants and Masterminds (which has a similar system, but is much more generous with the reroll). I think it's better if you don't feel like you wasted the Hero Point because you rolled low.

That said, it works best if it's a success/fail type thing. I understand pathfinder has a lot of things with critical success and critical failure. I guess you get it back if you don't score better?

The new 5e rules have the same called inspiration. Inspiration points are given out at the DMs discretion. It's a nice reward to give out for stuff like good roleplay and what not. I'm guessing it's the same for hero points.