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Any nerd in his basement can calculate (or have their computer calculate) odds until it's actually been learned by rote. But the difference between the average online number cruncher and the poker stars is their ability to read their opponent's intentions.
I'd say the ability to learn a pitcher's intent is more like a poker player's ability to sniff out a bluff, while a player's ability to predict the path of a batted ball to be a bit more about processing certain visual stimuli and putting it together into a meaningful physical response.
Interesting question, though. Probably more to it than I'm suggesting.