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3bet pot: what is good to call down? What is good to triple barrel?

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double2
Joined: 04.11.2008

Hi guys, the member KoeNe4U posted an interesting hand that is a nice example for training your Poker skills:

Originally posted by KoeNe4U
PokerStars - $0.50 NL FAST (6 max) - Holdem - 6 players
Hand converted by PokerTracker 4

BTN: 121.38 BB (VPIP: 28.25, PFR: 22.22, 3Bet Preflop: 8.77, Hands: 325)
Hero (SB): 162.68 BB
BB: 120.24 BB (VPIP: 31.82, PFR: 13.64, 3Bet Preflop: 0.00, Hands: 25)
UTG: 102.88 BB (VPIP: 33.33, PFR: 33.33, 3Bet Preflop: 0.00, Hands: 3)
MP: 235.46 BB (VPIP: 27.39, PFR: 23.37, 3Bet Preflop: 15.38, Hands: 406)
CO: 104.1 BB (VPIP: 11.11, PFR: 11.11, 3Bet Preflop: 33.33, Hands: 9)

Hero posts SB 0.5 BB, BB posts BB 1 BB

Pre Flop: (pot: 1.5 BB) Hero has 9♥ Q♥

fold, fold, fold, BTN raises to 2.5 BB, Hero raises to 9 BB, fold, BTN calls 6.5 BB

Flop: (19 BB, 2 players) K♦ A♣ 8♣
Hero bets 10 BB, BTN calls 10 BB

Turn: (39 BB, 2 players) 2♠
Hero bets 26 BB, BTN calls 26 BB

River: (91 BB, 2 players) 6♥
Hero bets 87.5 BB, BTN calls 76.38 BB and is all-in

Spoiler

Hero shows 9♥ Q♥ (High Card, Ace)
(Pre 39%, Flop 3%, Turn 0%)
BTN shows A♦ J♦ (One Pair, Aces)
(Pre 61%, Flop 97%, Turn 100%)
BTN wins 238.76 BB

We can ask here a bunch of interesting questions and try to find some answers, so we have a better grasp of what is going on next time. This is how you get better as a Poker player.

- What hands should BU call down?
- What hands can SB profitably triple barrel for value? (AKA what is the worst value shove on the river?)
- What type of bluff hands should SB be looking to use on the river?
- Is this a spot where people are overbluffing/underbluffing or overcalling/undercalling?

To try to answer these questions we don't need fancy tools to get an approximate answer.

So, let's do it by steps together

STEP 1 - estimate pre flop ranges

Let's say SB 3bet depolarized with around 18% range, something like this:

Let's also assume BU is calling something like this:

These might not be perfect ranges but it's the first step we have to make.

STEP 2 - Figure out BU "balanced" call down range:

To do this we apply more or less the "minimal defence frequency" to the 3 streets and see what comes up. This is far from a perfect way to figure out ranges but it gives us some useful results.

I don't think in this board BU should be raising anything, so this makes it a bit easier to do.

BU sees this flop with 168 combos. Against a half pot size bet he needs to defend around 2/3 of his range (because SB risks 10 to win 30, so his bluffs need to work around 1/3 of the time, so BU should call around 2/3). So we need to pick around 110 combos to continue on the flop. This is 108: 88,AQs-A2s,K8s+,QTs+,Q8s,JTs,J8s,T8s,98s,87s,Qc9c,Jc9c,Tc9c,7c6c,AQo-AJo,KQo

So we call flop with every pair, every FD and every gut shot. Very intuitive I think.

We see turn with 107 combos. Villain bets 2/3 pot, so we need to call around 60% of our range, so around 64 combos. These are 67 combos: 88,AQs-A2s,KQs,K8s,KcJc,QcJc,KcTc,QcTc,JcTc,Kc9c,Qc9c,Jc9c,Tc9c,AQo-AJo

So we call every Ax and FDs. We fold Kx (except the ones in clubs) and we fold gutshots (except in clubs).

We see river with 66 combos, against a ~83% betsize we need to defend around 55%, so ~33 combos (of the hands that can beat a bluff, we discount our busted draws)

So BU's "balanced" call down range should be around this: 88,AQs-AJs,A8s,A6s,A2s,K8s,AQo-AJo

So, the borderline hand to call 3 streets is AJ (without getting into blocker considerations).

STEP 3 - Given BU's call down range establish SB value shove range

If you use Equilab's option "hand range calculator" you will find that the worst value bet SB has is K8s. Against that range we gave BU AQ has an equity of ~45%, so not really a value shove.

SB's value shove range on the river: AdAh,AdAs,AhAs,KhKs,KhKc,KsKc,8d8h,8d8s,8h8s,AhKh,AsKs,Ad8d,Ah8h,As8s,Kh8h,Ks8s,Ad6d,As6s,Ad2d,Ah2h,AdKh,AdKs,AdKc,AhKs,AhKc,AsKh,AsKc

You can also now try to give him some bluffs to balanced these 27 value combos (bluffs should be a little less than half the value combos, so around 12 bluff combos), which would probably mean some frequency of QJ/JT/QT)

STEP 4 - compare your findings to your pratical expectations

Do we expect BU to call down with a wider or tighter range than the one mentioned? In other words, do we expect villain to call down A9s, A7s, maybe all Ax? Do we expect him to fold AJ/AQ?

Based on how sure you are of these assumptions you could adjust. Like if you think this particular villain will love to hero fold AJ/AQ, then it might make sense to be triple barreling a decent amount of QJ/JT/QT combos.

In any case, our barreling should always have some sort of draw and in this flop I don't think it's true that SB can bet full range, unless maybe with a very small sizing plan. So Qh9h is a very clear check/fold flop and a very clear check/fold turn. I don't hate the shove river.

How do these findings collide with your intuitions?


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9 replies
GingerKid
Joined: 05.08.2007

So BU's "balanced" call down range should be around this: 88,AQs-AJs,A8s,A6s,A2s,K8s,AQo-AJo

I guess by "balanced" you mean "unexploitable frequencies" according to nash equilibrium (I ask this because balanced ranges should have to do with balancing, so I am not sure what do you mean and I dont see any balance in the ranges). Anyway, very nice analyses.

Why do you estimate 3 barrel value hands by assuming that total blanks will come on turn and river, which should happen rarely (because you exclude all draws from call down frequencies). So I think that it should be observed the case when draws complete (e.g on club cards) and see what hands we can 3 barrel and when total blanks. As a simplification, if e.g. club comes on either turn or river (around 35% of time), we will not be able to 3 barrel AK, otherwise we would.
I know that it complicates things quite a lot, and to be very precise we would have to observe all possible runouts and estimate which hands we can 3 barrel.
Or maybe simpler appoximative approach would be to include at least some draws in villain call down range (at least best draws), which should lower equity of some 3 barrel hands. What do you think? Is there some official approach to this? I think it is anyway very wrong to observe only blank runouts if they occure very infrequent (which is case on draw heavy board as this one)


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LemOn36
Joined: 07.02.2009

isn't smaller flop cbet sizing with pretty much all of our range better given that we have such a large range advantage on this board?

And because of the range advantage the 1-A call down gets screwed, I'm not really sure how it works though :)

Would be cool if you run it through pio and give it 30-33% psb otf as an option


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double2
Joined: 04.11.2008

Originally posted by GingerKid

So BU's "balanced" call down range should be around this: 88,AQs-AJs,A8s,A6s,A2s,K8s,AQo-AJo

I guess by "balanced" you mean "unexploitable frequencies" according to nash equilibrium (I ask this because balanced ranges should have to do with balancing, so I am not sure what do you mean and I dont see any balance in the ranges). Anyway, very nice analyses.

Why do you estimate 3 barrel value hands by assuming that total blanks will come on turn and river, which should happen rarely (because you exclude all draws from call down frequencies). So I think that it should be observed the case when draws complete (e.g on club cards) and see what hands we can 3 barrel and when total blanks. As a simplification, if e.g. club comes on either turn or river (around 35% of time), we will not be able to 3 barrel AK, otherwise we would.
I know that it complicates things quite a lot, and to be very precise we would have to observe all possible runouts and estimate which hands we can 3 barrel.
Or maybe simpler appoximative approach would be to include at least some draws in villain call down range (at least best draws), which should lower equity of some 3 barrel hands. What do you think? Is there some official approach to this? I think it is anyway very wrong to observe only blank runouts if they occure very infrequent (which is case on draw heavy board as this one)

Thanks for the feedback. Of course the hands we 3 barrel and call down depend on the runout, in this case I used the runout in the member's hand. Doing it for a different it's just doing the same process again.

And yeah, by "balanced" I mean "pseudo-unexploitable frequencies" or "GTO-ish frequencies".

Originally posted by LemOn36
isn't smaller flop cbet sizing with pretty much all of our range better given that we have such a large range advantage on this board?

And because of the range advantage the 1-A call down gets screwed, I'm not really sure how it works though :)

Would be cool if you run it through pio and give it 30-33% psb otf as an option

Yes, I am fairly certain that a GTO solver would prefer a close to full range small betsize strategy on the flop, with bigger sizings in the next streets. As for call down ranges, I have the idea that the frequencies don't change that much, even if the 3bettor has an advantage, it's just that the EV overall drops.


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randomdonk
Joined: 02.08.2009

the most interesting thing i take from this is that i would have been pretty goddamn sure everyone underbluffs this spot, but it actually doesn't take that much to overbluff it.


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double2
Joined: 04.11.2008

Originally posted by randomdonk
the most interesting thing i take from this is that i would have been pretty goddamn sure everyone underbluffs this spot, but it actually doesn't take that much to overbluff it.

True. If we were to bluff all combos of a specific off suit hand then that's already 12 combos, which would mean you would have to have more than 20 value combos.


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GingerKid
Joined: 05.08.2007

Thanks for the feedback. Of course the hands we 3 barrel and call down depend on the runout, in this case I used the runout in the member's hand. Doing it for a different it's just doing the same process again.

Ok, thanks. How would you estimate hands that are able to 3 barrel for value when we are on the flop (not knowing turn and river cards). Are you considering blank runnout?


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double2
Joined: 04.11.2008

Originally posted by GingerKid

Thanks for the feedback. Of course the hands we 3 barrel and call down depend on the runout, in this case I used the runout in the member's hand. Doing it for a different it's just doing the same process again.

Ok, thanks. How would you estimate hands that are able to 3 barrel for value when we are on the flop (not knowing turn and river cards). Are you considering blank runnout?

The hands we are able to 3 barrel for value depend on the runout, we can estimate for blank runouts yes, but in the end we have to deal with very different runouts. If a Q♣: rolls off on the turn our barreling ranges change a lot, hands we would be betting on a blank are now checks, hands that we would check on a blank are now bets.


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GingerKid
Joined: 05.08.2007

Originally posted by double2

Originally posted by GingerKid

Thanks for the feedback. Of course the hands we 3 barrel and call down depend on the runout, in this case I used the runout in the member's hand. Doing it for a different it's just doing the same process again.

Ok, thanks. How would you estimate hands that are able to 3 barrel for value when we are on the flop (not knowing turn and river cards). Are you considering blank runnout?

The hands we are able to 3 barrel for value depend on the runout, we can estimate for blank runouts yes, but in the end we have to deal with very different runouts. If a Q♣: rolls off on the turn our barreling ranges change a lot, hands we would be betting on a blank are now checks, hands that we would check on a blank are now bets.

I know that. But my question was, how do you estimate on flop which hands you can 3 barrel, and which you cant (not knowing turn and river cards)? Or do you simply estimate which hands you can value bet one street and go with that?
I usually roughly estimate hands that can 3 barrel and cbet most of them, and hands that I can barrel one or two streets I check more frequently.


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double2
Joined: 04.11.2008

Originally posted by GingerKid

Originally posted by double2

Originally posted by GingerKid

Thanks for the feedback. Of course the hands we 3 barrel and call down depend on the runout, in this case I used the runout in the member's hand. Doing it for a different it's just doing the same process again.

Ok, thanks. How would you estimate hands that are able to 3 barrel for value when we are on the flop (not knowing turn and river cards). Are you considering blank runnout?

The hands we are able to 3 barrel for value depend on the runout, we can estimate for blank runouts yes, but in the end we have to deal with very different runouts. If a Q♣: rolls off on the turn our barreling ranges change a lot, hands we would be betting on a blank are now checks, hands that we would check on a blank are now bets.

I know that. But my question was, how do you estimate on flop which hands you can 3 barrel, and which you cant (not knowing turn and river cards)? Or do you simply estimate which hands you can value bet one street and go with that?
I usually roughly estimate hands that can 3 barrel and cbet most of them, and hands that I can barrel one or two streets I check more frequently.

Usually if you go with the ones you can value bet flop and go from there you will do okay. Of course this is a generalization, in certain boards you gain little by cbetting borderline hands (like betting for half pot a weak Ax in a Axx board, no protection needed). As for how the hand plays in future streets, I think that is way more important in single raised pots, specially OOP. In 3bet pots that is not as much of a concern since SPRs are lower.


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