The gambler’s fallacy is the belief that past outcomes of a random event change the chance of the next one. It does not, when the events are independent. A roulette wheel has no memory, so a long run of one color does not make the other color more likely. The fallacy often leads players to raise bets while chasing a result they feel is overdue. Real streaks happen by chance in any random sequence and do not signal a coming reversal.
Example
After five reds in a row on a European wheel, the chance of red on the next spin is still 18 in 37, about 48.65%.