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The BBC has posted an article and calculator ("Can chance make you a killer?") that is used to demonstrate the challenges in differentiating luck from skill. In this case, a simple scenario with fixed parameters is linked to a calculator that generates the range of possibilities.
While I'm not sure how this could be used in a baseball setting, it is a very good tool for demonstrating that it can be difficult -- particularly if you just look at "the numbers" in a selective way -- to make definitive statements about a player's ability. Such as, say, clutch hitting.
(Acknowledgement: The Book.)