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
Aspect
Hot hand
Gambler's fallacy
Domain
Human performance
Independent events
Independence holds
No
Yes
Still a fallacy?
Contested
Yes
Key year
2018
1913 / 1971
What each one means
Hot Hand Fallacy
The hot hand fallacy is the supposed error of believing a performer on a streak is temporarily more likely to succeed next — a label that a landmark 2018 correction showed rested on flawed statistics, and may not be a fallacy at all.