ANSWERS: 4
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Yes, and it has been done before.
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It happens all the time, like happens when a pitcher gets injured. It happens if the manager is very close to pulling the pitcher but wants to leave him in to get one more out, then the pitcher falls behind in the count to the batter. Usually, however, if a pitching change happens during the inning, it is done between batters.
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Corect answer above, but to add to it, If a pitcher comes in a game he must throw at least once pitch to a batter before being changed(not counting if he gets hurt somehow).
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A pitcher can not be taken out in the middle of an at-bat if it is the first batter he faces, unless he is injured. See rule 3.05 below. If he has faced one batter, he can be taken out at any time. 3.05 (a) The pitcher named in the batting order handed the umpire in chief, as provided in Rules 4.01 (a) and 4.01 (b), shall pitch to the first batter or any substitute batter until such batter is put out or reaches first base, unless the pitcher sustains injury or illness which, in the judgment of the umpire in chief, incapacitates him from pitching. (b) If the pitcher is replaced, the substitute pitcher shall pitch to the batter then at bat, or any substitute batter, until such batter is put out or reaches first base, or until the offensive team is put out, unless the substitute pitcher sustains injury or illness which, in the umpire in chief's judgment, incapacitates him for further play as a pitcher.
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