Herzog
Adventurer
stats are almost always rolled using the standard rules. (4d6, discard lowest, arrange as seen fit) although I tend to roll in order for my own characters (helps me decide on a class to pick)
I have only had 1 DM who used a re-roll system for hp, and he used the following system:
When your total hp falls below the average for the class(es) you took, you may re-roll your last die.
So, starting with max at lvl 1, at lvl 2 you could re-roll anything below the average for the HD.
If you rolled really high (max..) for lvl 2, your third lvl would have less chance of being a re-roll. If you rolled just above average for lvl 2, the third lvl would again have a ~50% chance for a re-roll.
This assured that all characters would have above average hp, without taking out the chance factor altogether.
Herzog
I have only had 1 DM who used a re-roll system for hp, and he used the following system:
When your total hp falls below the average for the class(es) you took, you may re-roll your last die.
So, starting with max at lvl 1, at lvl 2 you could re-roll anything below the average for the HD.
If you rolled really high (max..) for lvl 2, your third lvl would have less chance of being a re-roll. If you rolled just above average for lvl 2, the third lvl would again have a ~50% chance for a re-roll.
This assured that all characters would have above average hp, without taking out the chance factor altogether.
Herzog