Right way to handle this situation?

[Lotto]

Nevadaref is absolutely correct. Just to fill in the rest of the story, if this is the second (or third or fourth or...) dead ball after the mistaken throw-in following the foul, then the error is not correctable.

The reason you go back and shoot the 1-1 with lane spaces empty and come back to the team B throw-in is that there has been a change of possession since the error was made. If there had been no change of possession, you would go back and shoot the 1-1, but fill the lane spaces and play on as normal.

Here's a question---if the arrow had been pointing in A's direction instead of B's, would this constitute a change of possession or not?

The phrase "change of possession" in this rule has always bothered me, since it's not a term that's defined in Rule 4. Does someone have a clear definition?