No. A runner is out if hit by a batted ball but not out if hit by a thrown ball.
The runner would be safe if the ball passes by a fielder other than the pitcher, out if hit before the ball has past a fielder.
No. If a fielder has a legitimate opportunity to make an attempt at the ball, but the ball passes the fielder and then touches the runner, he is not out. The rules state a runner is out when a batted ball touches him before it passes a fielder.
It depends. Is the ball being thrown or is it hit. If it's hit off the bat and hits a base runner it's a dead ball and the runner is out if the ball has not passed a fielder. If the ball has already passed a fielder then the ball is live and the runner is not out. It is as if it never happened. If it hits the runner when it is thrown it is perceived as if it never hit the runner.
Yes, but if they are in fair territory and the ball hits them they are out.
Yes if it hits him before passing a fielder. If it passes a fielder, then no, he is safe.
Yes. For example, runner on 2nd, batter hits ground ball to the shortstop, who, instead of throwing to first, throws to third base in an attempt to get the runner. The batter is charged with reaching first on a fielder's choice, even if the runner is safe or out.
Fielder has the right to occupy the territory necessary to field the ball, runner must give right of way to the fielder. In this case, runner is out.
No...as soon as the batted ball touches the runner, the ball is dead.
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.
The baserunner is out and the batter is credited with a single. The putout goes to the fielder closest to the ball when it hit the runner.
That would be considered a fielder's choice. Answers.com defines a fielder's choice as: "A play made on a ground ball in which the fielder chooses to put out an advancing base runner, thus allowing the batter to reach first base safely." Even though, in your question, the runner was not put out at home the play would be scored a fielder's choice and the batter would be credited with an RBI.
If a batted ball that a fielder has no chance to field hits a runner, the runner is called out and the batter is credited with a single.