We aren't talking about chess, now are we? We're talking about complexity in poker and chess, and which is more complicated.
A "relatively accurate estimate of most positions" is not the same as "I can tell you the EV of this situation."
The computer can tell you the EV. It takes a degree of precision that humans aren't capable of in chess. Just because the answers might mean virtually the same thing, it's not the same. A grandmaster saying "mmm...I think this position is winning and white has a slight advantage" might mean close to the same thing, but it's not saying you have a 0.86 pawn advantage.
A human of a similar skill level(and even significantly lower) in poker is much closer to achieving that degree of precision, because quite frankly, it's not that complicated in comparison. Obviously there are exceptions, as this is less true for Omaha than in Hold Em, and further still in 5 card stud.
I imagine most people are talking about hold em, a game with only 1326 starting hands. Of these, there are only 169 unique starting hands. Most of which will be dropped at the beginning of your calculation, and will be narrowed down even further as the hand proceeds(which is why 9 players isn't suddenly more complicated). More often than not, but not always, your decision is between two choices(bet or check, call or fold). And quite often, one option is enough better than the other that it's pretty clearly one way over another. Bet sizing is going to be the most complicated part of the whole process.
The numbers just aren't large enough to be outside the grasp of a human. It's by no means easy in the sense that anybody can learn it as if they were tying their shoes. However, it is a drop compared to the numbers involved in calculating a chess position with accuracy. Chess dwarfs Omaha, a game with 270k starting hands.
It's the size of the numbers involved that make it impossible for even a grandmaster to tell the EV of even very clear positions. If white is completely won short of a massive blunder, great. What's the EV of the position?
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Are you referring to EV in the sense given a position and the particular players the chance that one will be able to convert the position into a win?
Kind of a silly question to ask me what the
chance somebody can win in a position of chess, isn't it? No, I am not talking about chance in chess, a game of skill without an element of chance.
I don't believe I've said a word about the actual game of chess in this thread, unless you count the part where I talked about choosing openings that your opponent lacked experience in. That is a statement I could have made without even knowing the rules of chess, so who really knows.
Correct me if I'm wrong.