A baseball player said, "Yes, I'm in a batting slump. But the law of averages has got to catch up sooner or later. I'm bound to improve." Discuss the logic of this statement.
The statement of a baseball player, "Yes, I'm in a batting slump. But the law of averages has got to catch up sooner or later. I'm bound to improve." is logically incorrect because of fallacy of law of law of averages as follows:
The law of averages is a spurious belief, in this case by the baseball player, that his batting slump will have to average out in small sample consecutive games, but this is not necessarily true. The law of large numbers is valid only for very large: hundreds and thousands of trials. But the player obviously cannot wait hundreds and thousands of games to average out his batting slump.
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