1d6 would be the minimum (as 0d6 means you're unable to act at all). It would be a very unfortunate set of circumstances that had you rolling that though! An attribute of 1d6? That's the stats of a hamster trying to pick a lock with a coat hanger. You start with 2d6 in most stats before you take any careers or race bonuses or anything.
A bit of LUC would help in that situation.
I'm not 100% sure I follow, but you can't have a negative dice pool. -2d6 STR would be... antigravity? I'm not even sure what it would mean!
So you can't reduce it to a negative number. You can technically have a 0d6 dice pool, but at that point you're essentially inanimate. 0d6 STR means you can't even move; 0d6 INT means you have complete sensory deprivation; 0d6 LOG means you're pretty much brain dead (even if only temporarily).
For example if due to complications/poor equipment etc. my dice pool comes to be -2d6 total, do i add my LUC dice to -2d6 or to the 1d6(minimum dice pool comes into effect before adding the LUC dice)
Oh, I see.
So you'd apply the minimum dice pool (0d6) at the same time you'd cap the maximum dice pool in the process. So follow the same process, and where it says to cap it, that's where the mimimim cap applies too.
So form your dice pool (att + skill + equip) then cap it (min and max) then apply the LUC.