I actually have had the absolute worst dice and the absolute best dice of my hundreds of FTF games occur in the same battle.
A friend and I were new (insanely stupid new in fact) to A&A and playing the MB edition. I was Germany and attacking Karelia late in the game. This was one of the bloody huge 30+ units on each side type of fights. The kind that determine the outcome of the game as I recall. Out of my 30+ units, 12 were fighters. His aa gun shot 11 out of 12 down! At that point, he had taken out the vast majority of my firepower and I was down about 10 units on him. Then the dice turned the other way once the battle started and I crushed him. He had me out pipped by 3x-4x yet in all the rounds of battle, he only had four or five hits in defense on me.
The odds of losing 11 of 12 fighters to aa fire must be like winning the PowerBall lottery. The odds of me then winning the subsequent fight also by a crushing landslide must have been like winning the Powerball three times.
Come to think of it, maybe winning that battle is why my luck has been so poor ever since…naaaaa