[SumZero]

[ QUOTE ]
Naively, there's only about 305,000,000 possible combinations of hands.
With some reduction for suit-equivalence, that might well be brute-forceable.

[/ QUOTE ]

That is the number of combination of hands, when you take into account the number of boards that you are evaluating too you see 418,597,840,861,200 possibilities to enumerate. You are right that you may be able to suit simplify but that will not buy you that many orders of magnitude and will also be adding complexity to the enumeration/calculation. Even if you could consider 1 million hands (here I include the board as a hand) a second you are still looking at over 13 years of calculation time.

The bad about that is it seems hard. The good about that is it seems like people likely haven't been able to do it and of all the casino games that might be beatable, obscure new games like this that are hard to calculate are the most likely.

The other fun game that someone described (was it Sklansky again?) was the WSOP one where you anted 1 and then looked at your hands and either got to surrender (and lose the one) or bet 5 or bet 10. If you bet 10 then only about 1/3 of the dealer's hands would call you (using simple blackjack scoring for unpaired hands) and if you bet 5 then about 2/3 of the dealer's hands would call you. And if they call you then it is an all-in hold'em battle with the board being dealt.

That is also computationally challenging, but simpler than the game you ask about.