When is passive play right?

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The question is: what's the best way to make the most when I'm ahead, and lose the least when I'm behind?

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You lose the least when you are behind by folding, but there is no way to know we are behind yet. I wouldn't worry about "making the most" when you are ahead in this hand per say. Your profit will come from making 1,000s of positive excepted value decisions over time. Focus on making decisions to maximize your EV.

Having said that, AA is the highest EV hand possible preflop!!!! RAISE!!

On the flop you have great pot equity!! A raise tends to show a profit (+EV). RAISE!!

If you had to play this hand over and over 1000 times you make more money on average by raising preflop and beting/raising the flop . . .

Slow playing is best against good thinking players because it will induce them to make mistakes . . . I really don't think this table qualifies for the exception of a slowplay . . .