You can't run simple hand simulations in poker. It just doesn't work like blackjack.
Run a million hands of any strategy in blackjack, and you'll be losing money *guaranteed*. It doesn't matter what your strategy is, the house an edge, and that means you cannot win in the long run. Just like roulette, the house has an edge no matter what number/combo you bet on. Do it a million times, and you lose.
The house doesn't have an edge in poker, 'cause you aren't playing against the house. You're playing other players, so they take a rake. The best players at poker will win regularly against the worst players, and come out ahead if they are beating the rake.
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