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Its not "purely random". In real baseball, hitters do much better with a 3-1 count than they do with an 0-2 count. If you think about it, it makes sense since with 0-2 the hitter has to be ready for anything close to the plate while with a 2-0 or 3-1 count the hitter can be more picky and just not swing at a pitch he doesn't like.
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