Magic finding in 1.10...

[vor_lord]

If you never ever click an act 1 NPC after killing Andariel, you will get the bad non-quest drop.  That means no Cain IDing, no repairing, no buying, no selling, no merc-resurrecting, no gambling, no healing, and no moving on to act 2.

You're not going to get the non-quest drop on accident.

Thanks for clarifying that for me. I must be overly optimistic about the quality of the quest drop.