No hit it is a fielders choice
No. By definition it is not a sacrifice unless the batter is out. The correct answer is yes. The runner can reach base during a sacrifice on a throwing error or a fielders choice.
Its Fielders choice, and an infield hit. An error can be recorded if the play could have been executed but was not due to a bad throw or other circumstance. If no error occurs, it is a Fielder's Choice, however, if, in the Official Scorers judgement, the batter would have been retired with normal effort, the batter should be credited with a Sacrifice Hit. If, in the scorers judgement, the runner would have beat the throw to first with normal effort by the fielder, he should be credited with a hit, otherwise, no hit should be credited to the batter. Under normal circumstances, in the question as stated, it should be recorded as a Fielders Choice and Sacrifice (officially called a Sacrifice Hit) by the batter.
Yes. A fielder's choice is when a defensive player plays a ground ball and tries to throw out a runner other than the batter. A fielder's choice can be credited when no out is recorded on the play if the official score keeper determines that the batter would have been out if the play went directly to first. In this case it would be a Fielders Choice and the batter would not be credited with a hit.
The at bat is recorded like an out so they would be 0 for 1, FC, even though they reached base safely.
Anytime the batter is put out at 1st base on a batted ball it is not considered a fielders choice, it is simply a put out. Now in your scenario if the catcher would have thrown home and the runner coming from 3rd is out and the batter is safe at 1st, then in that case it would be a fielders choice
Yes, if a hitter hits into a fielder's choice he gets credited for an at-bat and is NOT credited with a hit. Whether its an error or a fielder's choice the players batting average WILL decrease
Yes. If in the Official Scorer's opinion, the batter would have been out at first base had the fielder chosen to make that play then the play is scored as a fielder's choice. The batter reaches first base safely, but is not credited with a hit and is charged with an at-bat. He's officially 0 for 1 on that play.
This is not a sacrifice. It is counted as an RBI though unless there is a double play as result of the FC.
Yes you would get an RBI on a fielders choice. If a runner scores on any batted ball the batter will get an RBI, whether an out is made or not.
If a ball hits the runner, the runner is out and the play is scored a hit for the batter.