The Fallacy of the maturity of chances is a common mistake among gamblers.
Some gamblers always think past events affects future outcomes.
For example, if a coin is lands heads up several times, some people
Think it's more likely to land tails up next.
But each coin flip is independent and the probability of heads or tails is always 50/50
True coin flip result is independent of each other, People only think that the possibility of landing tails when it is consequently landing heads is due to the belief in the law of averages (which you called fallacy of the maturity of chances), which is not scientifically proven to be true and is known as one of the gambler's fallacy.
I agree that many gamblers believe in this fallacy and are often misled gamblers to believe that if they suffer consecutive losses, they will eventually win, resulting in more losses for many. This also triggers gamblers to chase losses, which we all believe and witness is disastrous if not stopped.