A fielder's choice is when a fielder has choosen to make an out on another runner on base when he could of gotten the batter/runner out instead. The batter/runner is safe, therefore reaching base via a fielder's choice. Please note that this counts as an at-bat and goes against the batter's batting average.
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A fielders choice is noted with the abbreviation FC and an indication of the path the Baseball traveled. For example...
With a runner on 1st base a ground ball is hit to the third baseman His throw to second base results in an out but the runner beats the relay throw to first. The scoring would be "FC 6-4"
A fielder's choice counts as an at bat for the batter, however the batter does not get credit for a hit.