good die; bad die
Concerning dice, I am privy to another story that is so unlikely it could very well have been a sort of urban legend- Confirmed true since I was actually part of the event.
This event happened during the first D&D campaign my gaming group played using the 3rd edition rules. Just because of the circumstances surrounding the event- I must give a little back story.
Being that the three Core books for 3E had just come out, and the MM gave "CR adjustments" for monster/template entries, a couple of us were interested in playing with these new options... we used those CR numbers in a similar fashion to current ECL adjustment- The party ended up being Dwarven fighter, a human Monk, a werewolf/human Cleric, and I played a half-celestial Paladin. It became quite obvious to us, after the first few sessions, that the characters were unbalanced- the stat adjustments and bonuses for half-celestial synergize very, very well with the paladin class.
Rather than changing numbers or levels, our DM decided to make a NPC he was planning to by my Nemesis. A female half-fiend Blackguard. She looked statistically identical to my Paladin in nearly every way (I found out soon enough).
As the plot advanced we came to hear of a powerful sword that could be used to greatly advance the purpose of this evil Blackguard(ess). As events culminated, it came to a climax of sorts as I led the party into the tower that was home of the weapon, racing (I believe her name was Illiara) the half-fiend and her dark servants to the weapon.
Upon reaching the room, the DM had us all roll initiative. Coincidently my Paladin and my Illiara were ahead in initiative, on the same count with the same Dex modifiers. Both of our actions were obvious, and the DM decided that this would come down to an opposed attack roll as we both grabbed for the sword.
This is where this most peculiar even occurred (on a side note- this DM was in the practice of rolling the dice out from behind the screen where everyone could see the results- no fudged rolls for help or hindrance)
Knowing I had the same attack bonus she did, I was disappointed when my dice came up showing a 6, but much to my relief, her dice showed the same number. The rest of it goes something like this
"What do we do on a tied opposed attack roll" I said.
The DM replied "it would make sense to just roll the dice again.
We preceded to pick up our dice simultaneously, looking each other in the eyes, a slight smirk upon or faces. We both let our dice go, then glanced down just before they came to a stop.
"Nineteen, YES.." and my excitement dropped as I looked over to see my DM's die showing the same result.
"Wow, you have to be kidding me", and he continued "well, lets just roll them again. That is just too unlikely to happen again."
But, as you could have guessed, it did. Not only that time, but we rolled those D20's 6 times, rolling the SAME number as the other each time.
"What the ..." he had a slightly concerned but bemused look on his face.
By that time we started to get some guests at our gaming table, as we were making a bit of a fuss there at the gaming store*. "Ok, enough with these dice... pick up your D12. I don't know what is up with these."
And we proceeded to roll them... both of us coming up with 8.
I picked the die up again to roll, but was stopped by my DM-
"No, were not doing this with these dice too. D8's"
Again, the same number for each of us. And so I looked at him, not sure of what he would decide on next.
"Ok, D6's"
Resolute, the DM decided that we would not change dice untill these came up with different numbers. Fortunatly, we only had to roll these twice before the numbers came up 5 vs. 2- Good being the victor

as it should be after a long hard fought battle with evil. To this day that remains one of my most favorable gaming memories.
My friend/the DM did go home and work out just how statistically improbable that was. Later, he did mention that we could have won the State lottery maybe 3 times. I am curious though- would anyone be able to figure out the exact probability of what occurred there? I myself have no experience with statistical numbers/probability type equations.
*(Star Gaming here in Akron, OH- not long afterward it moved. Unfortunately it is now shut down, despite my attempts to keep it going by buying nearly every D&D book put out.)