[brador]

This is not true. The player can turn a profit, it’s just the probability of that tends closer to house advantage as they play more.

Which is why the optimal play is usually to bet it all on the first play. Then walk away, win or lose.

[SamInTheShell]

You're wrong. The house literally will come up to someone that is winning a lot and tell them to leave. "You're too good, we have to ask you to leave."