It's a huge difference, but I was referring to the house in that algorithm. The house has more money than all the players. There's no possible means of defeating the house.
Ah of course yes, such a thing is impossible, then given this the house edge is supremely powerful, it will always exist and it is something that under no Circumstances can any player beat it, just as you say, the casino algorithm does not allow it, this has to be seen as one of the best things to understand what we are up against when playing in a casino and not delude Ourselves into thinking that the Casino will be the solution to everything, the Solution to a safe income or even a job.
In the end, yes, as you said, this is the reason why it is very important to know and understand what we are actually dealing with.