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And, of course, the corollary here is that the barrel of the bat cannot be delivered to the baseball precisely as the batter intends.  Where it strikes the ball has a large random factor, and that is part of what drives BABIP.
We might assume that a given hitter can BABIP .500 (or .100) by purposely striking a pitched baseball between the infielders.  No can do.  
Where the ball goes, off the hitter's bat, is chance, and this is proven by the consistency of BABIP.

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