Before revision: The gambler's fallacy, also known as the Monte Carlo fallacy or the fallacy of the maturity of chances, is the incorrect belief that, if a particular event occurs more frequently than normal during the past , it is less likely to happen in the future (or vice versa) , when it has otherwise been established that the probability of such events does not depend on what has happened in the past .
After revision: The gambler's fallacy, also known as the Monte Carlo fallacy or the fallacy of the maturity of chances, is the incorrect belief that, if an event (whose occurrences are independent and identically distributed) has occurred more frequently than expected , it is less likely to happen in the future (or vice versa) again .