In theory, there isn't any max cap when rolling attributes, so a perfect 108 should be possible. Odds of that happening however are ridiculously small, maybe smaller than winning the lottery. So yeah :P
Im not a mathematician, but i would assume it is possible but so absolutely unlikely that chances are bigger that female aliens that all look like Summer Glau naked will bring you a working version of BGEE 45 minutes before it is released.
On the old Bioware forums I remember there were a few maths gurus who had figured out the exact mechanics of the rolling attributes (it is not that simple) and calculated the maths for the probabibilites of several draws or series, for several class/races.
Does Baldur's Gate use a 3d6 statgen, or 4d6 discarding the lowest? With 3d6, the odds of rolling a single eighteen if you were just rolling one stat (essentially, the odds of your rolling an 18 on your first stat) would be (1:6)^3, or... .4629%. So that's not hot to start with. The odds of rolling ALL 18s are then very easy to calculate: the odds of an event happening X times in a row are just the odds of that event happening once multiplied by itself X times, so it's just .004^6, which is...4.09600 × 10^(-15). Or (4.09600 x 10^-13))%. I don't know how that compares to the odds of all of the molecules in your hostess' underwear simultaneously jumping three feet to the left, but it's not great.
If it's 4d6 dropping the lowest--and from that math, it sounds to me more like it IS 4d6 dropping the lowest, because I feel like 18s turn up way more than one time in two hundred fifty rolls--then I'm afraid I've exhausted my memories of high school stats. Anyone else remember better how "at least three of four one in six chances turning up" odds work?
Ooh. Well that makes it infinitely more complicated. No idea! But the answer is clearly in the vicinity of "don't waste your life that way sister just open Gatekeeper and edit your stats up god damn everybody'd think you had anyway."
...wait, does that change the odds of your seeing a max-stats roll or not? It...reduces the number of non-max-stat rolls that you'll see, but it's still a six-sided die being rolled to...ugh. MATHS.
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If it's 4d6 dropping the lowest--and from that math, it sounds to me more like it IS 4d6 dropping the lowest, because I feel like 18s turn up way more than one time in two hundred fifty rolls--then I'm afraid I've exhausted my memories of high school stats. Anyone else remember better how "at least three of four one in six chances turning up" odds work?