Watch for
Assuming a streak changes the underlying probability.
We believe streaks predict continued success.
The belief that a person who has experienced success in a random sequence has a higher probability of continued success despite the events being independent.
Assuming a streak changes the underlying probability.
Check whether the events are actually independent before assuming a streak matters.
A basketball player who has made three shots in a row is believed to be on fire and likely to make the next even though each shot is independent.
Thomas Gilovich, Amos Tversky
First described in 1985
Pattern seeking and representativeness heuristic. The brain sees a streak as non-random suggesting a causal force at work. It underestimates how often streaks occur in truly random sequences.
Thomas Gilovich, Robert Vallone, and Amos Tversky (1985), "The hot hand in basketball: On the misperception of random sequences."
Below is a realistic scenario. Read it, then choose what you would do. The feedback will show whether a cognitive bias influenced your choice — not to judge, but to reveal the pattern in action.
This experiment places you in a realistic decision. Your instinctive choice will reveal whether bias is at work.
The hot-hand fallacy is the mirror of the gamblers fallacy. Gamblers fallacy says a streak must end. Hot-hand says a streak will continue. Both mistake patterns in random sequences for meaningful signals.