What Is The Best Batting And Pitching Average A Baseball Player Can Get?

The best possible batting average a player can get is a perfect 1.000, meaning he gets a hit every time he comes to bat.
Pitcher have had 1.000 averages, but only two plate appearances.
The lowest possible ERA for a pitcher is 0.00, meaning no earned runs were charged to the pitcher. DOOP pitcher have a tendancy to own a 0.00 ERA, however only pitching an inning or so.