Hit Points and Constitution

I've been playing Ice Wind Dale recently to pass some time between MMORPGs.  It's based on AD&D 2nd Edition and it's amazing how much of that system I had forgotten.

For hit points I'd was thinking of rolling hit points and keeping whatever rolls a character got, but I remember how well that worked in a previous game.  So I decided to steal something from AD&D.

You can re-roll any roll lower than your base Constitution modifier.  So, if your character has a 17 (+3) Con, you would be able to reroll any 1's and 2's you roll for hit points.

This should encourage some of you to take advantage of the +2 racial constitution bonus of the Warforged.