ELI5: gambler's fallacy

high confidence

April 19, 2026philosophy

// explanation

// eli5Imagine you're flipping a coin and it lands on heads five times in a row. You might think 'tails MUST come next because it's due!' But that's not how coins work. The coin has no memory—it doesn't know it landed on heads before. Every flip has the exact same chance of being heads or tails, just like every time [1][2]. It's like thinking a dice 'owes you' a six because you haven't rolled one in a while [4].

// sources

[1]Gambler's fallacy - Wikipedia

The gambler's fallacy, also known as the Monte Carlo fallacy or the fallacy of the maturity of chances, is the belief that, if an event (whose occurrences are ...

[2]Gambler's fallacy - The Decision Lab

The gambler's fallacy describes our belief that the probability of a random event occurring in the future is influenced by previous instances of that type of ...

[3]The Gambler's Fallacy: Key Examples and Impact - Investopedia

The gambler's fallacy, also known as the Monte Carlo fallacy, is the erroneous belief that the likelihood of a random event is influenced by previous outcomes.

[4]The Gambler's Fallacy is Kind of Understandable : r/math - Reddit

Apr 8, 2023 ... The gambler's fallacy is the belief that an outcome occurring frequently in a sample of independent random trials makes it less likely to occur in the next ...

[5]The Gambler's Fallacy and the Hot Hand: Empirical Data from Casinos

This study uses data from patrons gambling in a casino to test the robustness of two biases that have previously been observed in the lab: the gambler's fallacy ...

[6]Gambler's Fallacy (explained in a minute) - Behavioural Financevideo

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