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the claim

The gambler's fallacy involves the belief that a conditioned probability exists between an event and the previous one when the two events are independent.

the verdict
SUPPORTED
the evidence backs this
Recorded sources
5 sources for · 0 against

Counts group repeated records of the same source within each side. They do not measure evidence strength or source independence.

Is it true that the gambler's fallacy involves the belief that a conditioned probability exists between an event and the previous one when the two events are independent?

Yes. The gambler's fallacy is a well-documented cognitive bias wherein individuals incorrectly assume that a conditional probability exists between independent random events.

Verdict: SUPPORTED · 5 sources for, 0 against · Last checked

The analysis

The retrieved literature consistently defines and examines the gambler's fallacy as a cognitive bias regarding independent events (such as coin tosses or roulette outcomes), where individuals expect subsequent events to compensate for past outcomes despite statistical independence. Multiple papers (e.g., [0], [4], [9]) directly support this definition.

Evidence for · 5
2006
The paper examines the gambler's fallacy as a misperception of randomness involving independent events.
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Sundali, J. & Croson, R. (2006). Biases in casino betting: The hot hand and the gambler’s fallacy. doi.org. https://doi.org/10.1017/s1930297500000309

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More for · 4
2011
The study explores decision-making and biases involving independent random events, aligning with the premise of the gambler's fallacy.
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G, X., Z, L., IP, L., & A, B. (2011). An fMRI study of risk-taking following wins and losses: implications for the gambler's fallacy.. doi.org. https://doi.org/10.1002/hbm.21015

2010
The article classifies the gambler's fallacy as a fundamental human misperception of random sequential events.
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Sun, Y. & Wang, H. (2010). Gambler’s fallacy, hot hand belief, and the time of patterns. doi.org. https://doi.org/10.1017/s193029750000098x

2017
The research identifies the gambler's fallacy as a cognitive distortion involving incorrect probability expectations in gambling contexts.
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M, S., SA, C., C, B., & S, T. (2017). Cognitive distortions among older adult gamblers in an Asian context.. doi.org. https://doi.org/10.1371/journal.pone.0178036

2023
The experiments demonstrate that the gambler's fallacy arises when observers evaluate independent sequential outcomes from a random mechanism.
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Rao, K. & Hastie, R. (2023). Predicting Outcomes in a Sequence of Binary Events: Belief Updating and Gambler's Fallacy Reasoning. doi.org. https://doi.org/10.1111/cogs.13211

What does the evidence say?

The retrieved literature consistently defines and examines the gambler's fallacy as a cognitive bias regarding independent events (such as coin tosses or roulette outcomes), where individuals expect subsequent events to compensate for past outcomes despite statistical independence. Multiple papers (e.g., [0], [4], [9]) directly support this definition.

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