They often change precinct borders. If you're in the wrong precinct, they just won't have your name on the list, right? Maybe there are several Ann Coulters in Palm Beach County though. Sheesh. You think you've heard everything.
In general, the precinct has a list of those designated for that precinct. If you're not on the list, you should vote by "challenge" ballot.
If the voting board puts you in the wrong precinct, and tells you to vote in that precinct (say, by mailing), and you vote there, whose fault is this?
I don't understand how one can vote, non-challenge, in the "wrong" precinct. But I'm slow on some of these things.