The most improbable set of rolls I've seen was my character getting saved on 14000:1 odds.

I was grappled by a boneyard (a 3.5 monster), and the boneyard's next turn was going to be to suck the bones out my body and kill me. There was only one PC left to go before the boneyard's, the wizard, and he attempted to save me with a

*Disintegrate.*
This PC was also being played by a player notorious for having poor luck with rolls, like failing a 50% miss chance for one of his spells on 8 consecutive rolls the session before this. So I figured I was dead.

First, he needed to make a ranged touch attack. Not so hard, he only needed a 4 to hit. 85% chance. Success.

Then, he needed the monster to make a spell resistance effect. The monster had pretty high SR (24), and he needed to roll a 13 or higher to affect it. 40% chance, success.

Then, he needed the monster to make a Fort save. His save DC wasn't very good because he was multiclassed, and the monster had some spell in effect that gave him a bonus to his Fort save. The monster only needed to roll a 4 to save. And he rolled a 2. 15% chance, success.

Then, and finally, the monster still had 101 HP left. Disintegrate at 11th level does 22d6. The chance of getting at least 101 on 22d6 is only 0.14%. And then he rolls a

**102.**
Chance of surviving was 85% x 40% x 15% x 0.14%, or 14000:1.