Gamblers Fallacy icon

Gambler's Fallacy

informal Fallacy

The gambler's fallacy is based on the false belief that the outcome of a past random event can affect the probability of a future independent random event—for example, believing that if something happens more frequently than expected over a given period, it is less likely to happen in the future (or vice versa).

Example of Gambler's 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

This is a common fallacy

Gambler's Fallacy

Extended Explanation

The Gambler's Fallacy is a logical fallacy that occurs when a person assumes that if a certain event has occurred more frequently than normal in the past, it will occur less frequently in the future, or vice versa. This fallacy is often seen in gambling, where it is assumed that if a coin has landed heads up five times in a row, then it is more likely to land tails up on the sixth flip. This misconception can be applied to many different situations, including financial markets and sports betting.

The Gambler's Fallacy is based on the belief that a past event has an effect on a future event, which is not true for independent events. Every coin flip, dice roll, or roulette spin is independent of all other such events that have gone before it. This means that the probability of each outcome remains the same regardless of past results. It is not more likely that a coin will land tails up on the sixth flip because it has landed heads up five times in a row, as the probability of the coin landing heads up or tails up is always 50/50.

The Gambler's Fallacy is an example of a cognitive bias, which is a systematic error in judgment or thinking that leads to an incorrect conclusion. These biases are often driven by our tendency to look for patterns and draw conclusions based on past experiences, even when no meaningful pattern exists. It is important to be aware of these biases and how they can affect our decisions, as our decisions are only as good as the information and reasoning we use to make them.

The Gambler's Fallacy can be a dangerous fallacy to fall into, as it can lead to poor decisions and costly mistakes. It is important to remember that each independent event is unaffected by prior outcomes and that the probability of a certain result is not changed by what has happened before. By understanding the Gambler's Fallacy and being aware of our own biases, we can make better decisions and avoid costly mistakes.

Books About Logical Fallacies

A few books to help you get a real handle on logical fallacies.

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