The Gambler's Fallacy
beginner 4 min readUpdated 6/20/2026
After five reds, black feels 'due'. It isn't. Here is why independent events have no memory.
The gambler's fallacy is the mistaken belief that if something happens more often than normal during a period, it will happen less often afterwards — or vice versa. After five reds on a wheel, it feels like black is 'due'. But the wheel has no memory.
Independent events do not owe you anything. Each spin, flip or roll starts fresh, with exactly the same odds as the last.
Coin flips have no memory
A fair coin that lands heads ten times in a row still has exactly a 50% chance of heads on the eleventh flip. Previous flips cannot influence a process that is, by definition, independent.
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Key takeaways
- Independent events are not influenced by past results.
- A 'due' outcome is a feeling, not a probability.
- Streaks are normal and expected in random data.
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