There is a consideration there that isn't necessarily a problem with randomness itself. (Though I agree that the randomness does bring its own problems.)

Say you're playing through someone's electronic D&D module and you try to do something with a 90% chance of success. Then you roll a 2. You didn't make a mistake when deciding what to do, so that feels wrong -- this is a problem with randomness.

What do you do? You reload from right before you tried to do the thing, and you reroll. The game can't actually make you accept randomness if you don't want to. So they have to do something else.