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Thanks a ton for the detailed analysis, Erpel!
 Originally Posted by Erpel
Btw you can't bet pot on the river. You'll have $5.95 left and there'll be $9.75 in the pot. If you happen to hit the straight on the river you are certainly all-in.
LOL, dumb moment for me there. Yay for not paying attention to stack sizes when posting.
 Originally Posted by Erpel
I' m not sure I'd put him exactly on 77- TT. There's really no reason why he shouldn't be playing a set in this way. A small raise could be one wanting you to call rather than fold - as in, a strong hand like a set, or as you suggest a small overpair. It's true that many people at these stakes illogically bets/raises small with weak made hands, whereas with a bigger overpair he'd be more inclined to price out draws correctly.
Of course you're right that this could be a set, too. With position on a loose/aggressive opponent, though, I would expect a lot of people to just call the flop with a set. The only hands continuing on a raise are pairs and flush draws, and a call would probably get more value from my entire range here. Villain probably isn't far above level 1 though, but even at that level, players at these stakes love to slowplay.
 Originally Posted by Erpel
When you make the call you need to have a plan for the hand according to PNL's coverage of commitment thresholds. To this end the questions I'd first ask myself are these. Are my outs clean (are there any bigger straight or flush draws in my opponents range)? Am I willing to stack off unimproved on the flop or turn with outs and fold equity? Most importantly - what is my opponents range, and what is my equity against that range.
I'm not familiar with PNL. Pretty much everything I've learned about poker I've learned from FTR. I definitely need to take some time and read some poker books. Regardless, that's the reason I really hated my bet on the flop: I'm a pretty big dog to his flat calling range and he's not folding to a c-bet. Based on my history with this villain, I didn't expect straight or flush draws to be any significant part of his range, so I felt that my outs were clean, that most likely any 2, 4, or 7 would give me the best hand (except when he has 77 and I hit my 4).
 Originally Posted by Erpel
Ok, let's assume he has 33, 55, 66 (9 combos) or 77- TT (24 combos). If you bet on the turn will you get any sets to fold or overpairs to call? If he bets on the turn will you call? If you hit your straight on the river is he more likely to pay you off with a set if he bet the turn or if you bet the turn? If you check the turn will he bet his overpairs?
A set is never folding. I assume you're talking about my play if I was holding a hand like AhJh. In that case, I think my best play here is check/call two streets, or check turn, bet river. That said, I don't think that villain here is really thinking at that level. Also, my bet on the turn is pretty small, so I think it looks a lot like a bet that wants called. Basically, I'm hoping that villain here is playing somewhere between level 1 and 2 and not 2 and 3.
 Originally Posted by Erpel
I think this is no more than 5% of villain's range here. I hesitate to say 0, but it's close to that.
 Originally Posted by Erpel
If no made straights or flush or straight draws are in the villain's range I would perhaps:
3bet the flop to $4 or so. Problem is that if I get shoved on by sets only I almost have to call. A call would be slight -EV, but any overpairs or bluffs in his shoving range makes it around 0 EV. I'll calculate with folding as if it's 0 EV the EV comes out the same if we call the shove or fold to it. If his range is exactly as described and he folds his 77- TT range out of 33 times we pay $2.1 33 times ($69.3) and take home $3.5 24 times ($84). So I could 3bet/ call and embrace variance, or I could 3bet/ fold and avoid variance. But the flop 3bet I think is profitable regardless (assuming this range is remotely correct) on fold equity alone.
Herein lies the problem. I didn't feel like I had any fold equity. With me having a wide opening range and the board being pretty drawish, I think that a shove looks like a high-cards flush draw a lot. I don't think villain will realize that even if my range for 3betting here is probably JJ+ and broadway hearts that folding a hand like 99 (only 22% equity vs JJ+, AhKh, AhQh, AhJh, AhTh, KhQh, KhJh, KhTh, QhJh, QhTh, JhTh) is correct. I felt that I was behind here but had plenty of outs (with good implied odds when hit) to the best hand. I didn't consider the possibility of stealing the pot on the turn until the opportunity presented itself... that definitely should have been part of my though process.
 Originally Posted by Erpel
I agree 100% here. At the time I was thinking "I still have plenty of outs if called and that A is a scare card to his entire range so I have a lot of fold equity," but looking at it now, if I have any hope of winning this hand, my only chance is to bet here.
 Originally Posted by Erpel
Agreed. My plan was to bet/fold turn. I think he only shoves the turn with a set, and I don't have the equity to call.
 Originally Posted by Erpel
Bet/ fold turn. We bet here to fold out the overpairs that are weak. The question is whether we can believably represent the AhXh hand. I guess we could call with it, or as I outlined above - 3bet the flop with it. If he thinks you are the kind to 3bet AhXh then he won't give you credit for it, but will instead give you credit for a bluff and call you down. With a set he may still simply call you to let you hang yourself. So bet/ fold turn only becomes a river all-in if you hit your straight outs.
I would 3bet broadway hearts as I said, but I might just call with a hand like Ah8h or Ah9h. I turbo-shove Ah2h, Ah4h, Ah5h, or Ah7h, so it turns out that AhXh is a very small part of my range at this point, but I really don't think villain would realize that. The reason is that at these stakes, a lot of players would play a flopped set, a naked AK, or AhXh exactly like this, so I think I can take advantage of that to some extent.
 Originally Posted by Erpel
This is the main spot where we disagree. I don't think I have much fold equity on the flop at all vs overpairs. I like your idea of the straight completing/extracting from sets idea, and I totally agree there. I think I accidentally took the most profitable line here, but that was certainly helped by a fortunate turn card (only a 2 or 7 could have been better for me).
 Originally Posted by Erpel
Now, examine my post closely and judge all of the assumption regarding the opponent range, try to make some different assumptions and make the corresponding calculations and see where that takes you.
Absolutely. Again, thanks a lot! 
 Originally Posted by Erpel
Oh yeah - and how will you feel about a river 4? 2 out of 3 sets are bigger sets, 77 is now a straight etc.
Eww, tough spot. I originally said bet/fold, but that was when I was being stupid and not realizing stack sizes. Betting a set on that board would have next to 0 value. I would have a hard time folding, though, because I'm really only losing to 55, 66, 77. I think that a hand like 88-JJ might find that to be a good spot to bluff and make me fold an A. I think 55 might check behind on the river, but 66 and 77 almost certainly bet. With all the money in the pot and some bluffs possible, I think check/calling on a river 4 is probably best. Betting (all-in is all that's left) is almost certainly worst, though I suppose a 99 that was bluff-catching the turn might call the river as well, and 33 might make a crying call.
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