a fair ball enabling the batter to reach base without the commission of an error in the field or the making of a force-out or fielder's choice on another base runner.
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Origin of base hit
An Americanism dating back to 1870–75
Dictionary.com Unabridged Based on the Random House Unabridged Dictionary, © Random House, Inc. 2019
Examples from the Web for base hit
If the ring is thrown over one of the "base-hit" or "two-bagger" pegs, it shows the number of bases secured.The Boy Mechanic, Book 2|Various