No, because the third out was made on the same play. It is no different than if the batter hits a ground ball to the shortstop or any other infielder and is thrown out at first base for the third out. However, if there are two outs and there is a runner on third and the batter hits a single into left field but is thrown out at second when attempting to turn the play into a double and the runner on third makes it home before the third out at second is recorded, the run does count. Hope that isn't too confusing.
Yes. There are only a few times that a batter helps a teammate score but does not get an RBI. Example 1: Bases loaded, 0 outs, batter grounds into double play 2nd baseman to first baseman, runner at third scores. The batter is not credited with an RBI. Example 2: Runner on 3rd, 2 outs, batter hits a routine groundball to shortstop, but the shortstop makes an erro. The batter is not credited with an RBI because if the ball was played cleanly the run would not have scored.
Yes. The batter would be credited with an at bat and an RBI.
That depends on how the batter is put out. If the batter is put out by throwing to the first baseman who touches first base before the batter does, the run will not count because the play is considered a force out. No run can score when the batter or another runner is put out by a force for the third out of an inning. However, if the batter is tagged out and the runner from third scores before the batter is tagged out, the run does count because the runner was not forced but instead tagged. Only if the batter runner is tagged out after he reaches first base (in attempt to get to 2nd base for example) does the run count. If the first baseman was pulled off the bag on the throw and was able to tag the batter runner before he reached first base, the run would not count. It is still considered a force play (NFHS Rule 2-24-1). The above answer is incorrect. MLB rule 4.09(a) states: One run shall be scored each time a runner legally advances to and touches first, second, third and home base before three men are put out to end the inning. EXCEPTION: A run is not scored if the runner advances to home base during a play in which the third out is made (1) by the batter-runner before he touches first base; (2) by any runner being forced out; or (3) by a preceding runner who is declared out because he failed to touch one of the bases. Note the exception. No run scores when the third out is made by the batter-runner before he reaches first. Doesn't matter if it's a force or a tag on the batter-runner.
Batter is safe at first base, runner on third scores a run.
No, it is scored as a ground out and the batter is credited with an RBI.
Yes. If a runner crosses home plate before the third out is made (unless it's a force out), the run counts. For example, say the Yankees have runner on third with two outs. The batter hits a ball to the gap in right center. The runner scores, but the batter is thrown out at third trying to stretch a double into a triple. Since the runner on third crossed home plate before the batter was out at third, the run counts. On a force play (at any base) the runner would not be allowed to score even if he crosses the plate before the force is made.
It is only a sacrifice bunt if someone scores. If no one scores, then the player who bunted isn't credited with anything.