Only in one situation and that is if he can convince the umpires that he suffered an injury between the time he was called in and the time the batter enters the batter's box (like during his warmup pitches). Otherwise, he must pitch to at least one batter.
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The win goes to the relief pitcher (assuming there was more than one relief pitcher) whom the official scorer feels was most instrumental in the victory. That relief pitcher must pitch at least 1 full inning, or pitch a crucial out if he pitches less than one inning.
Pitchers in MLB and the minor leagues get eight warmup pitches when entering a game unless they are entering the game due to an injury to the previous pitcher. If the previous pitcher was injured the relieving pitcher may take as many warmup pitches as the umpire deems necessary. Rule 8.03
Yes; a relief practice pitcher.
There is no way to tell the exact average, but there is usually 1 starter for each team, a relief pitcher, and the closer. So about 6 total. -----The number of pitches would depend on many factors, but usually there is a minimum of at least 200 pitches in a game. High scoring games or those with a lot of walks could approach or even pass 300 pitches.
Mariano Rivera