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Counting cards in poker? Say what? The deck is shuffled between every hand.

Unless you're referring to the basic skill of determining odds to make a certain hand based on your hole cards and the common cards?

That's true for hold'em, but in stud variants you need to keep track of the cards held or folded by other players.

But that's a very different skill from counting cards.

It's the same idea: predict future draws based on used cards.

In one you have you remember the attributes of the cards in the other you just have to maintain a running total. They are very different skills.