The Streak Myth

A close cousin is the inverse gambler's fallacy: seeing one rare outcome and wrongly concluding that the process must already have run many times before. Walk in, watch black hit six times straight, and decide the wheel "must have been spinning all night" to finally produce a streak that rare — but that single result tells you nothing about how many earlier spins there were. The run is just as likely on the first spin of the evening as the thousandth. The same backward instinct makes people see one jackpot and assume a machine has "swallowed coins for hours," or read a single freak coincidence as proof of a long hidden history that never had to exist.

The simplest defense is one question: are these events actually independent? If the answer is yes — a spin, a flip, a draw with replacement — then no result is ever "owed," and no streak is "due" to break. Write down the real probability before you act, not the story your gut is telling. Independence is invisible to intuition, so you have to check for it on purpose.