Quote Originally Posted by Malacode View Post
Point Buy is, in my opinion, less balanced that random rolling. While luck of the draw does come into it, the dice do tend towards an average.
This is plainly untrue. It's simple math. Six or even ten results is such a small sample that the distribution is essentially random. You won't see dice rolls tend toward the average meaningfully unless you have hundreds of rolls. So between all the characters you ever roll, you'll see the results average out. In one character's stats? Nope. There's no magic there that will make sure you don't roll straight 18s. If you're only using one or two dice, the effect is that much stronger; with 1d10, the odds of getting 10 10 10 10 10 10 are the same as any other combination, whereas on 3d6 straight 18s are more unlikely than anything (except, of course, straight 3s).