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
This is true, that's why card game like baccarat and if you have been in a land base casinos, you will see in some kind of monitor of the pattern of banker and player. And then you will have gamblers look at it, finding the pattern and the cycle and then bet on the next game because of this.
Nevertheless, there is no pattern in their and it's not even 50/50 as there is also the tie game. But for sure, most gamblers likely wanted to see this and so casinos gave this to us so that we will fall for this kind of trap and losses more money in the long run.
You're right. Each coin flip or game round is separate, so the past doesn't change the chances for the next one.
Still, casinos show those pattern charts to make people think there's a trend or cycle (I can relate, lol). Many players believe they can guess what's coming next, but the game doesn't work that way. In the end, it's just a trick to make peopel bet more and lose more money.