You've probably heard of the hot hand fallacy. In many areas, but most famously in basketball, people have long believed in the hot hand: a player who made their last couple shots was more likely to make the next one as well. But a famous 1985 study, analyzing some in-game NBA data and some experiments with Cornell basketball players, found that there was no correlation between previous shots and the outcome of the next one -- there was no hot hand.
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