Mathematics,calculations or any formulas are not that helpful when we talk about gambling.Of course this depends on each game but in general you cannot trick and win against the house. You think you are the only one who did this research before and came up with the same idea?No, of course. Dozens of people have tried to beat casinos by using different algorithms but no one has successfully to find a formula that will get them a constant profit. Gambling is a game of luck, and no one can prove its not since no one can be in profit for a long time,unless luck is involved.
This was the reality, gambling is not a thing that gives you continuous flow of profit. It is ultimately driven by luck and no one can hack the house. There is no 50:50 chance indeed, the house has its edge that is why it was still earning whatever happens. That is why this just for fun and a thing that should free us from stress and not give us stress.
In terms of chance of winning, there is 50:50, meaning to say, your chance of winning is 1:2. And this could be publicly verified if the site is using a provably fair algorithm. I don't doubt about it. But then the house will still have its edge on the prize. There is always a reason for the house to earn. We need to remember that casinos are business establishments. They are built not just to give fun and a chance to make money to their customers but also, and most of all, to make money. That is why if you prefer to play a game with an almost fair playing field, choose those games with the lowest house edge.