A batted ball that hits a fielder is in play, regardless of whether or not it later hit a baserunner. If a batted ball hits a baserunner before touching a fielder, the runner is out, the batter is awarded a hit, and all other runners return to their previous base unless forced to advance.
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This would be a put in the book as a fielders choice -- no hit or RBI granted to the batter
Then you tell your infield to wake up and make mental note so you can rip into them once they are in the dugout
in order for that play to be called a fielders choice there has to be an out made ... it's scored as a infield hit ... with the bases loaded ...
Correction:
A Fielders Choice does not have to result in an out -- I have attached the Official Score Keepers definition of a fielders choice (in the example given for the question.. this would fall under section b -- the 3rd baseman cleanly fielded a ball and was going to go to 2nd for the put out rather then going straight to 1st)
Fielders Choice is the act of a fielder who handles a fair grounder and, instead of throwing to first base to put out the batter runner, throws to another base in an attempt to put out a preceding runner. The term is also used by scorers
(a) to account for the advance of the batter runner who takes one or more extra bases when the fielder who handles his safe hit attempts to put out a preceding runner;
(b) to account for the advance of a runner (other than by stolen base or error) while a fielder is attempting to put out another runner; and
(c) to account for the advance of a runner made solely because of the defensive team's indifference (undefended steal).
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.
It is in fair territory. Third base borders the foul line and if the ball hits the bag, just like if the ball hits the foul line, it is considered to be in.
If a runner is in foul territory is hit by a batted ball, it is simply a foul ball and the runner returns to his base.
However, if he is in play, he is out.