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Imperial Records
PSYCHOLOGY
psychology
probability
bias
risk

Gambler's Fallacy: The Dice Have No Memory

If a coin flips heads 10 times in a row, is it 'due' to flip tails? No. The universe does not owe you a balance.

Tversky & Kahneman• 5 min read

Monte Carlo, 1913

At a roulette table, black came up 26 times in a row. Gamblers lost millions betting on red, thinking "Red must come up next!" But the odds were always 50/50. (Or technically 48.6/48.6 due to the green zero).

Independent Events

The dice have no memory. They do not know what happened on the last roll. If you have 5 daughters, you are not "due" for a son. The chance is still ~50%.

End of Records

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