No, the batter is not out. The runner could be out though. For example in Little League if the runner touches the ball before it goes by a fielder, the runner is out. (The pitcher does not count as a fielder for the purpose of the rule)
The runner is not out if he/she is touching a base.
no absolutely not it is an automatic strike If the ball is pitched and hits the ground before it gets to the batter and the batter then hits the ball it is a legal hit.
No, the ball is not dead and the batter may attempt to hit it.
If the ball hits the ground in play then it hits the batter it is call a hit by pitch and the batter will take first base ... You can also hit the ball as it bounces off the ground ...
Yes. If a foul ball is caught by a defensive player before it hits the ground the batter is out.
Batter hit the ball into the outfield.
If the batter does not swing at the ball and it hits him in the hand, it is not a strike and the player is able to walk to first base. If a batter is hit with a ball and the batter did nothing to place himself in front of the ball to make himself be hit, he is able to walk to first base.
If the batter attempts to hit the ball and misses, it is a strike. If the batter does not attempt to hit the ball and the ball enters the strike zone, it is a strike. If the batter does not attempt to hit the ball and the ball does not enter the strike zone, it is a ball (unless it hits the batter, then the batter is awarded 1st base).
If the ball hits the batter's hand before it hits their bat, it is a hit by pitch and the batter takes first base. If the ball hits the bat first it is a foul ball.
If the baseball hit the ground in foul territory, the ball is a foul ball. If the baseball hit the ground in fair territory, and the batter/runner is still in the batter's box when the baseball hits him, it is a foul ball. If the baseball hit the ground in fair territory and the batter/runner is out of the batter's box when the baseball hits him, the batter/runner is out and the ball is dead.
If a ball hits the runner, the runner is out and the play is scored a hit for the batter.
if the ball is hit by the bat out the box by accident it still counts as a hit ... if the batter hits the ball while on the plate it's an out ...