It is a fair ball in play if it is in fair territory when it is caught.
No, once the ball touches the wall, ground, or runner (after 1st being touched by a defender) the ball cannot be caught for an out
No, the bases are treated like part of the ground.
Once it hits the base, it is considered a ground ball.
If the ball touches the ground even before the catcher catches it the batter/runner may attempt to advance to first if there are less than 2 out and first is not occupied or if there are 2 out and first is occupied. The catcher does not have to catch the ball on a third a strike for it the be considered a strike out. This includes a ball which bounces to the catcher because the strike zone is over the plate not where it is caught.
Depends. If the ball bounces of a defensive player, and is caught, the batter is out. If it hits a runner, the ball is dead and the runner is out but the hitter is awarded first base.
If the ball touches the wall before it gets caught, it is not a fly out. The ball is in play.
In the event of a batted ball being hit on the fly and was caught by an Infielder or Outfielder on the fly before it hit the ground, it will be ruled as a Fly Out and in the event of there being no outs, one out or two outs and in the event of there being runners on base, runners will have to return to their original bases prior to the pitched ball before they can advance to the next base.
If a batted ball lands in fair territory but then crosses the foul line BEFORE passing or touching first or third base, then it is a FOUL ball. If a batted ball lands in fair territory between first and third base, bounces in the air, and crosses into foul territory before passing first or third base, it is a foul ball, even if caught on the bounce in foul territory by the first or third baseman.
A chunk, or people may say you caught it fat, or if it bounces off the ground then the club hits the ball it is known as a drop kick.
All that matters is that the catcher caught the ball. Accordng to MLB Rule 6.05(b), a batter is out if: " A third strike is legally caught by the catcher; Rule 6.05(b) Comment: "Legally caught" means in the catcher's glove before the ball touches the ground. It is not legal if the ball lodges in his clothing or paraphernalia; or if it touches the umpire and is caught by the catcher on the rebound. If a foul-tip first strikes the catcher's glove and then goes on through and is caught by both hands against his body or protector, before the ball touches the ground, it is a strike, and if third strike, batter is out. If smothered against his body or protector, it is a catch provided the ball struck the catcher's glove or hand first. "
The ball is in play like any other batted ball and is considered fair whether or not it ricochets into foul territory after hitting the pitcher. If the ball hits the pitcher on the fly and is caught by a fielder before it touches the ground, the batter is out. If a ground ball touches a pitcher and another fielder grabs it and throws the batter out at first base, the pitcher is given an assist on the putout.
In MLB, yes. MLB Rule 6.05(b) states that a batter is out when "A third strike is legally caught by the catcher" with the added comment "'Legally caught' means in the catcher's glove before the ball touches the ground".