What is a gambler's fallacy?

The gambler's fallacy is a cognitive bias that occurs when an individual believes that future outcomes are somehow influenced by past events, even though the probability of the events remains the same. In other words, it is the misconception that if something has happened more frequently in the past, it is less likely to happen in the future, or vice versa. This fallacy is commonly seen in gambling situations, where people might believe that after a series of losses, they are "due" for a win or that certain numbers are more likely to appear based on previous outcomes. However, each event in a random process, such as a coin toss or a roulette spin, is independent and unaffected by past events.