If a batted ball hits the pitchers mound and goes into foul territory is it fair?

If a batted ball hits the mound and then makes it into foul territory before going past 3rd or 1st base and without being touched and without stopping then it would be a foul. If it goes into foul territory after passing 1st or 3rd base, then it is fair. Likewise, if the ball stops moving or is touched by a fielder in fair territory, it is also a fair ball and in play. The key is where the ball stops moving. If the ball stops in fair territory (without having been touched in foul territory), it is a fair ball. If the ball stops in foul territory (without having been touched in fair territory or advancing beyond 1st or 3rd base), it it a foul ball, regardless of the route it took to get there.