yes, for example with a runner on 3rd with less than 2 out, if he hits a ball deep enough to be a sacrifice fly but the outfielder drops it, the batter will get an RBI because he would have got one without the error
The error stands as the batter reached a base safely.
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.
Yes. The only time it is not an official "At Bat", is if a batter reaches base on a base on balls, hit by pitch or catcher interference. A batter is also not charged with an "At Bat" if he hits a sacrifice fly (a fly ball out that results in a runner tagging up and scoring), or a sacrifice bunt that advances a runner or runners. He is also not charged with an "At Bat" if the batter reaches base as a result of an error on a sacrifice fly or sacrifice bunt.
Yes. If a fielder drops a foul ball, that is counted as an error, even though the batter does not advance to first. MLB Rule 10.12 (a) (2) is pretty clear: The official scorer shall charge an error against any fielder: .. (2) when such fielder muffs a foul fly to prolong the time at bat of a batter, whether the batter subsequently reaches first base or is put out;
A batter that reaches base due to an error and later scores is not counted as an earned run.
None of the runs are earned. The batter who would have been the third out of the inning reached on an error, so any runs that score in that inning after the error was made are unearned.
No, when a player reaches base on an error the batter is not credited with a hit. He is credited with an at bat, so as far his statistics are concerned, it is as though he made an out.
If the batter puts the ball in play, and reaches base without an error being made by the defense, nor is it ruled a fielder's choice, the batter gets credit for a hit.
Yes
A base hit is a hit in the sport of baseball in which the batter safely reaches base.
It is.
No. It can still be a no hitter. But a perfect game requires the pitcher to retire every batter he or she faces. A perfect game is broken whenever any batter reaches base, including by hit, walk, or error.