Why are those the best starting hands? I mean on the surface it seems reasonable but it there some math behind this? I think expected payoff could be calculated however it's really a complex problem. I think hand strength weighted to the probability of hitting that hand would rank them. so best five card hand straight flush you have AK odds of hitting QJ10? vs second best type 4 of a kind AA odds of getting AA? Also AXX is improvement. so you sum the expected payoff by the odds. then expected payoff could be calculated by ranking every final hand 0-1 scale. the actual expected payoff would be based on the table rank and other players bets. I think I'll stick to dice :)
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Well first off, the best hand is a royal flush. Same as a straight flush, but specifically with A-K-Q-J-T suited. 2nd - straight flush, 3rd - 4 of a kind. The information I got was from statistics acquired by running millions of hands through simulation. This does not account for implied odds and many other important factors, so really it's just a brute strength calculation basically. As if both players went all-in pre-flop. I'm not exactly sure what you're question is. The questions you are asking reminds me of a college that built an AI that solved pot limit hold'em. Although, no limit hold'em has MANY more possibilities, so it requires a human mind to take all these factors into account. Also, dice are against the house. No offense, but how do you think casinos make money? They make some from texas hold'em through rake, but mainly they get it through you vs. house type games because they control the odds. Regardless, thanks for your feedback lol :)
Yes there is math behind this :-)