What is the gambler’s fallacy?
The gambler’s fallacy is the mistaken belief that past random events influence the probability of future random events. A classic example is thinking that after a roulette ball lands on red ten times in a row, black is now ‘due’ to come up. In reality, each spin is completely independent.
Why it doesn’t apply to random games
In truly random games like roulette, slots, or dice, past results have no mechanical connection to future results. The roulette wheel has no memory. The probability of landing on red is always 48.6% (on a European wheel), regardless of the previous 100 spins. The fallacy arises from a human tendency to perceive patterns in random data.
How it affects decision-making
The gambler’s fallacy leads players to make irrational bets. Someone who has lost ten hands of blackjack in a row might double their bet expecting a win, when statistically the next hand is no more likely to win than any other. Recognizing the fallacy is useful for keeping your betting decisions grounded in actual probabilities rather than the illusion of ‘due’ outcomes.