According to MLB rules, that would depend on the situation. MLB Rule 5.09(f) states that the ball becomes dead and runners advance one base, or return to their bases, without liability to be put out when "A fair ball touches a runner or an umpire on fair territory before it touches an infielder including the pitcher, or touches an umpire before it has passed an infielder other than the pitcher. Rule 5.09(f) Comment: If a fair ball touches an umpire working in the infield after it has bounded past, or over, the pitcher, it is a dead ball. If a batted ball is deflected by a fielder in fair territory and hits a runner or an umpire while still in flight and then is caught by an infielder it shall not be a catch, but the ball shall remain in play." If the ball hits the umpire first, the ball is dead. If a defensive player touches the ball and then the ball hits the umpire, the ball is live.
If the umpire is in fair territory, it is a fair ball and all the runner(s) can get, as the Umpire is considered part of the playing field. If he is in foul territory, then it is a foul ball.
if the umpire is inside the base path, then it is a dead ball... no pitch --- if the umpire is outside the base paths then it is a live ball
If the ball hits any part of the line, it is a fair ball, and is not called. The umpire is supposed to stay silent. If the ball lands outside of the line in foul territory, the umpire puts their hands about their head ans says foul. If a ball bounces in fair territory, but leaves fair territory before is passes a base, it is a foul ball. If the ball bounce in fair territory, but it goes foul after passing a base, then is it still considered a fair ball.
if a batted ball hits home plate and goes into fair territory it is a fair ball since the plate is in fair territory however it a batted ball hits the plate and goes foul it is a foul ball
Once again the answer to this lies in the definition of a foul ball listed in Rule 2 of the MLB rule book. A FOUL BALL is a batted ball that settles on foul territory between home and first base, or between home and third base, or that bounds past first or third base on or over foul territory, or that first falls on foul territory beyond first or third base, or that, while on or over foul territory, touches the person of an umpire or player, or any object foreign to the natural ground. This answer depends entirely on the position of the "you" in this question. The batter, the umpire and the catcher are all generally in foul territory at the time the batter swings. If the batted ball hits any one of those people while they are in foul territory, the ball is immediately foul. However, if in the umpire's judgement, the contact was made while over or on fair territory, the ball is fair. Nothing that occurs to the ball after the contact will change whether it is fair or foul.
Once a batted ball is touched by a defensive player in foul territory, it is ruled a foul ball regardless if said batted ball returns to fair territory.
If, in the judgment of the umpire, the action by the batter was intentional, the batter will be called out. If, in the judgment of the umpire, the action by the batter was unintentional, the ball is alive and in play. Rule 6.05(h) states: "After hitting or bunting a fair ball, his bat hits the ball a second time in fair territory. The ball is dead and no runners may advance. If the batter-runner drops his bat and the ball rolls against the bat in fair territory and, in the umpire's judgment, there was no intention to interfere with the course of the ball, the ball is alive and in play"
Home plate is in fair territory so the ball would be a fair ball.
Yes, home plate is considered to be in fair territory.
The runner is out if he is in fair territory.
As long as a batted ball doesn't touch anything in foul territory and lands in the outfield it is a fair ball.
Most of the batter's box is in foul territory, but some of it is in fair territory, so it depends where the batted ball comes to rest.