Backcourt

[pforeferee]

Hello...new to forum and new referee!

I'm suffering some confusion on a backcourt situation. A1 is in their backcourt dribbling, when B1 comes from behind in a steal attempt and slaps the ball across the center line into B's backcourt. B1 crosses into her backcourt and starts dribbling.

Is this a backcourt call because she was the last one to touch it in her frontcourt or is it a no call because slapping the ball away from A1 didn't establish player or team control before going into the backcourt?

Also, here's one more. A1 is dribbling the ball and B1 comes from behind and slaps the ball away. B1's momentum takes him out of bounds, but he hustles back onto the court, picks up the bouncing ball and starts a dribble. This isn't a problem, is it?

Thanks!