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Hot handvsGambler's fallacy

The short answer

Long taught as twin errors, they have parted company. The gambler's fallacy remains a genuine error because roulette spins are independent by design. A basketball player is not a roulette wheel, shots are not independent draws, and the analysis that declared the belief false has since been shown to be biased. Treating the two as equivalent is now itself the mistake.

Side by side

AspectHot handGambler's fallacy
DomainHuman performanceIndependent events
Independence holdsNoYes
Still a fallacy?ContestedYes
Key year20181913 / 1971

Which one you meant

Readers who land here meaning Hot Hand Fallacy rather than Gambler's fallacy are usually searching for phrases like “is the hot hand real”, “hot hand fallacy debunked”, “do streaks in sport mean anything”.

Hot Hand Fallacy

  • is the hot hand real
  • hot hand fallacy debunked
  • do streaks in sport mean anything
  • was the hot hand study wrong

Gambler's Fallacy

  • after nine heads isn't tails due
  • gamblers fallacy explained
  • do lottery numbers get due
  • why streaks feel like they must break

Which came first

Gambler's fallacy. 1913 — At the Monte Carlo Casino, a roulette ball lands on black 26 spins in a row. Gamblers piled money onto red on the reasoning that the streak had to correct, and lost heavily. The commonly repeated 'millions of francs' figure is journalistic; the 26-spin run is the durable part.

  1. 1913Gambler's FallacyAt the Monte Carlo Casino, a roulette ball lands on black 26 spins in a row. Gamblers piled money onto red on the reasoning that the streak had to correct, and lost heavily. The commonly repeated 'millions of francs' figure is journalistic; the 26-spin run is the durable part.
  2. 1985Hot Hand FallacyGilovich, Vallone and Tversky analyse basketball shooting data, find no evidence that made shots raise the chance of the next one, and conclude the widespread belief in the hot hand is 'a powerful and widely shared cognitive illusion'.

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