And, to KarinsDad, if it's not one roll, then it isn't "blind luck", it's poor choices. At some point over the three or four rounds it takes to get those crappy rolls piling up, the character should be doing something to save themselves as they see things going down the tubes. It reminds me of the newspaper articles published every so often about young, unmarried women with children and how hard they have it because of [insert complaint here]. They invariably start with a line like, "When Susan found herself pregnant at 17, she didn't know what to do..." as if her circumstance was totally a freak occurrence out of her control. Ditto that with a character failing death saves. Unless your DM starts each session with all of your characters at 0hp, then there was a whole pile of "your fault" that led up to the death saves. Starting your narrative at the point where the saves are failed is disingenuous at best.
More than any other edition, characters are protected from single bad rolls and one unlucky occurrence. More than that, and it's either a challenge well beyond you (that you chose not to avoid) or your own poor choices that get you killed.
Total nonsense.
You mean poor choices like the NPC hitting the wizard PC, he fails his concentration roll, and the four foes in the Web spell are now out of the Web spell? Sorry, you are just mistaken. Here is an example of two rolls (one good one by an NPC, one poor one by a PC), all in the space of a single turn, which can turn the tide of battle. No player choice involved, let alone poor choices. So obviously, your one die roll theory is in error.
As for the "my fault" of my Wizard's two death saving throws, it happened to be two lightning bolts by the bad guys. My PC actually had 2 hit points remaining after the first lightning bolt, but that could easily have been 2 extra points of damage and a single spell that took him down.
Two characters went unconscious last night with a single Dragon breath weapon. The party ended up beating the dragon and nobody died, but if someone had died (e.g. the dragon had rolled more damage on the breath weapon, or one of those two characters had been a bit more damaged before the breath weapon), does that mean that it would have been due to poor decisions? Obviously not. Nobody is omniscient, even the DM. The best tactics can end up screwing the party and terrible tactics can end up winning the day, just because of dice rolls.
This concept that it has to be due to a single die roll in order for a PC to die from poor dumb luck is total crap. Sorry, you are just flat out mistaken on this.