The gambler's fallacy is based on the false belief that separate, independent events can affect the likelihood of another random event, or that if something happens often that it is less likely that the same will take place in the future.
Example of Gambler's Fallacy
This is a common fallacy.
- Edna had rolled a 6 with the dice the last 9 consecutive times. Surely it would be highly unlikely that she would roll another 6 on the 10th time. The previous rolls have no bearing on the next roll of the dice.
- My sister's first three children have been girls. The fourth one is sure to be a boy. The chances of the fourth baby being a boy are 50/50