I think all gamblers who have played luck-based casino games have already fallen to this fallacy a number of times. The reason is simple. In a coin flip, although it is possible that heads will turn out each time, is it likely that there will be 20 consecutive flips with heads as a result? It is probably less likely. The same logic applies to dice, roulette, baccarat, and other random casino games. Each game may be completely independent from each other but the possibility that only one result shows up every time is very low.
Unconsciously, bettors might fall for this fallacy no matter how hard we try. We know it doesn't work like that but there is always the nagging thought that you might win the next round because you have been losing. But once you wake up and realize that you will keep losing then that is the time you take a break.