Definition
The gambler's fallacy
Also known as: monte carlo fallacy, fallacy of the maturity of chances
The mistaken belief that past independent results change the odds of what comes next. After a run of heads, it feels like tails is "due" — but a fair coin has no memory, so every flip stays an even 50/50. Streaks happen by chance and do not make the opposite outcome more likely on the next toss.