Odds, Probability & Bankroll
Hot hand fallacy meaning
The hot hand fallacy is the error of believing a run of wins or hits will continue because the person or process seems to be on a streak, even when each outcome is independent of the last.
- Also called
- Hot-hand bias, hot-hand belief
- Mathematical test
- Pr(Hit | Hit) > Pr(Hit | Miss)5
- Origin
- Basketball shooting studies
Key points
- A person observes a short streak and infers the process is "hot," expecting the streak to continue.13
- The bias is treating chance streaks as evidence of a real state change or momentum when the sequence may still be random.24
- Distinct from hot hand meaning, which refers to a genuine period of superior performance, not the fallacy itself.63
Where this term is used
Related terms
Odds & probability
Hot hand meaning
Explains the genuine phenomenon of a player performing above their usual level for a period.
Odds & probability
Gambler's fallacy
Covers the opposite bias: believing a streak makes the opposite outcome more likely.
Odds & probability
Monte Carlo fallacy
Describes the mistaken belief that independent events balance out over the short term.
Odds & probability
Positive odds meaning
Defines odds expressed as a positive number, indicating potential profit on a stake.
Odds & probability
Minus odds meaning
Defines odds expressed as a negative number, indicating the stake needed to win a fixed amount.
Odds & probability
Odds
Explains how odds represent the ratio of profit to stake in betting.
Sources
- Metacognitive Awareness and the Hot Hand: When Winning, No ... pmc.ncbi.nlm.nih.gov Defines the hot hand fallacy as a mistaken belief about streak continuation.
- The Gambler's and Hot-Hand Fallacies eprints.lse.ac.uk Explains the bias as treating chance streaks as evidence of momentum.
- Microsoft Word - Errors in Probabilistic Reasoning and Judgmental Biases - 2018-11-05 formatted for NBER.docx nber.org Provides the alternative name 'hot-hand bias' and describes the inference process.
- Classroom Investigations of Recent Research Concerning the Hot Hand Phenomenon tandfonline.com Discusses how the fallacy applies to betting contexts and random sequences.
- Capability and opportunity in hot shooting performance - NIH pmc.ncbi.nlm.nih.gov Supplies the mathematical characterization Pr(Hit | Hit) > Pr(Hit | Miss).
- Hot hand - Wikipedia en.wikipedia.org Distinguishes the fallacy from the genuine 'hot hand meaning'.
Sources are drawn from regulators, universities and published research, and each one is labelled with what it actually is — a preprint is not called a paper. Bookmaker and affiliate pages are never cited here, because a page that sells betting is not a neutral authority on it.