When I was in college, I went to a guest lecture by Stephen Jay Gould (it was a packed house, him being a renowned evolutionary biologist, and KU being the highest place of learning in a state whose school board famously denounced evolution just a few weeks before).
However, he was there lecturing about statistics and prediction, and at one point he was pretty adamant about the Hot Hands Fallacy regarding basketball players, and I was pretty skeptical of it (as someone who watched and shot a lot of hoops). Skeptical enough to remember this from a lecture 17 years ago.
Then, just a few years ago, I heard that the science wasn't settled on this, so maybe there is some truth after all. It seems like Hot Hands is somewhat related to Power Up Mode, and I find this sort of thing pretty interesting.