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I don't really have an answer yet. Maybe I should just try to start over.
PF - post dead money and check: Any two, except QQ+, AK, AQs.
PF call (in position, 3way): AJs-A2s, KQs-K5s, AQo-A6o, KQo-KTo, QJs-Q9s, JTs-65s, J9s-86s, QJo, JJ-22
Flop raise (honestly): KTs, K8s, KTo, T8s, QcJc, Qc9c, Jc9c, TT, 88
PF call combinations: 21 + 23 + 62 + 33 + 11 + 20 + 13 + 12 +78 = 273
Flop raise (honest) combinations: 3 + 2 + 9 + 2 + 3 + 3 + 3 = 25
So if out of the 248 hand combinations that made it to the flop that are not on the 'honest' list he choses to bluff or semi-bluff raise 10% he'll have as many poor hands as properly strong hands - some of which still have a decent number of outs, whereas others have mediocre showdown value and are hoping for a fold.
I'm not sure what the bet size tells me, or is supposed to tell me. He's giving Hero 2-1 to call ($4.8 for a chance to win $9.7) while bloating the pot to a size where a push is 1/2 pot, making AI a given on later streets. Realistically though, Hero is paying $10.10 for a chance to win $24.9 (less the rake) so will need something on the order of 41-43% equity to have a positive expectation.
Although on one side I say that not a lot of bluffing or semi-bluffing needs to be done for this to be a push for Hero, if I think the villain is honest, then it's a fold. I don't think it's a clear situation either way. Vs an unknown I should probably err on the side of him being honest and folding.
Of the speculative hands Villain is most likely to have folded lower pocket pairs (playing maybe JJ), and most likely to be playing hands with draws in them, so his equity isn't as negatively impacted by speculative hands as he still has outs.
If I was put in the situation I'm pretty sure I'd push on the flop as Hero though. Ill-advised aggression is my middle name.
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