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.