Yes, the batter would have been out if it were not for the error.
No. No error can ever be given when there is an out made on the play.
I AM A COLLEGE BASEBALL PLAYER ALL INFORMATION HERE IS 100% TRUE. A fielders choice does not count as a hit for the batter even though the batter reaches base safely. It counts as an out for the hitters batting average but RBI's, runs scored, stolen bases and any other effects of the batter reaching base safely count. In essence a fielders choice counts as an out because the fielder could have chose to get the batter out or another runner which means there was an out on the play. Also, you cannot assume a double play even if the ball hit was the easiest 4-6-3 which the fielders made an error on.
No, a wild pitch is a wild pitch -- it is considered a mistake charged to the pitcher. An "error" in baseball is a fielding mistake. A pitcher can make an "error" but only on a batted or thrown ball.
Earned. Unearned runs only apply to cases where an error allows a runner to score where they otherwise would not have.
This depends on the situation. If the fielder threw to get the runner out and the batter reached 1st due to this, then it would be considered a sacrafice by ruling it a Fielders Choice, and no hit or error would be charged. If the batter bunted and had good placement and was able to reach 1st due to a good bunt and beating the throw, then it would be considered a hit
When a batter reaches on an error, an at bat is charged (since there would have been a put out had the error not occurred), so it will cause a decrease in batting average
He does as long as he ends up at thirdbase after hitting the ball and no defensive player is charged with an error that allowed the hitter to advance one or more of the 3 bases.
This is up to the discretion of the official scorer. If the scorer feels that one of the infielders had a clear ability to catch the ball and failed to do so, it will be ruled an error. If the ball hits a fielder's glove, it will almost definitely be ruled an error.
There could be but I can't remember having ever seen one. A four base error would be an error that allowed the batter to score. I have seen plays where more than one player made errors which allowed the batter to score. I guess that could be called a four base error but I would think it means one defensive player made an error that allowed the batter to score.
If a relief pitcher enters the game with a 2 ball 0 strikes on the batter and the batter receives a base on balls it is charged to the preceding pitcher. Any other action such as a base hit, fielder's choice, reaching base on an error, etc., is charged to the relief pitcher. (Rule 10.18 (g)).
No. If a player reaches base due to a fielder's error, the batter does not receive credit for a hit, but does get credit for an at-bat. Therefore, the batter's average will descend, but the batter's on-base percentage will increase.
No, because if the error hadn't occurred, the batter would have been out.