Rather than getting into advanced mathematical situations I want to make sure that my fundamentals are okay.
Hope to hear some reflections on a situation like this
Let's say we are playing shortstacked heads up (25bb effective stacks) and we value minraise with KTo in position
Flop comes A66 with 2 spades and we don't have a spade
While it is clear that we have good showdown value here and our hand is best very often (he reraises Ax and PPs almost always pre), can anyone give as many arguments as possible why cbetting is still standard? Are there any other arguments than that you give away equity by checking back? I cbet this all day, not even sure if that is for value cause I don't expect worse to call. I just think it is hard for villains to rep much on such boards, and I don't like facing a turn and river barrel if I don't cbet a hand with showdown value which is likely also the best hand.
I guess I just want to stay away from close decisions if people start bluffing vs my bluffcatchers if I don't cbet them. Not sure if that is bad or exploitable
Why is cbetting here is standard?
High variance, fancy play aside, readless cbetting this flop and folding to any c/r is still more +EV than checking back and it definitely makes your turn and river decisions easier (+ mental EV).
Although most bet decisions are for value or as a bluff, when you cbet in this spot you are taking a line which is on the value side of betting to simply take down the dead money in the pot; leveraging the value of position and aggression in heads up texas holdem.
Simply put: your fold equity in this spot is worth more than your risk adjusted pot equity, so you're giving up expectation by not cbetting.
Hence why cbetting in this spot is standard.
Thanks, that is very comprehensive
Quote:
" Simply put: your fold equity in this spot is worth more than your risk adjusted pot equity, so you're giving up expectation by not cbetting "
I do not question that this is true, but I wonder if it is close or significantly better to take the pot equity.
Not cbetting and correcly bluffcatching on the river with K high would lead to winning a bigger pot. But I think that when you face a riverbet there's a decent % of his range that bets for value vs K high because it has drawn out. Also not c-betting K high is something I would do in the assumption that players will always turn hands with no showdown value into a bluff (7 high etc) and I don't think that is an assumption I should be making. Villains would probably have to always be bluffing with 7 high on the river to make up for this equity, and in reality I think a lot of players just give up.
Last but not least I do think there is additional equity to pick up by cbetting K high and getting called for value by Q high.
The question arose from the general scenario where I c-bet a hand that has decent showdown value and is likely the best hand, but can not stand a check raise.
On A66 rainbow villains can not check raise and barrel profitably because once I call my range is capped at Ax or better. But there are some other flops where there are barreling opportunities. Basically I want to learn how to counter those
Let's model it
(Note I will use propokertools odds oracle for equity calcs)
Give opponent flatting range @ 25BB of:
[KxQx-Kx2x,KxQy-Kx5y,QxJx-Qx2x,QxTy-Qx6y,JxTx-Jx4x,JxTy-Jx7y,Tx9x-Tx6x,Tx9y-Tx7y,9x8x-9x6x,9x8y,9x7y,8x7x,8x6x,8x7y,7x6x,7x5x,6x5x,6x4x,5x4x,4x3x]
=> 448 combos representing 36.9% of hands
Preflop our range of [KxQy] has 63% equity vs this flatting range.
The flop comes A66 two tone.
AND hero does not have a flush.
If we assume villain is checking their entire range to us (value & bluffs) we have 61% equity here.
AND villain's range is comprised of:
84.0% nothing
8.4% flush draws
7.6% trips
If we assume villain will bluff 10% of the time, we can assume we get (84.0 - 10.0) = 74% folds when we cbet
In a single raised pot, P = 4.0 BB & we cbet an assumed 0.5P = 2.0 BB
If we have an assumed 30% equity (can be calculated more accurately if we know villains exact range) when villain calls then:
EV(cbet) = (0.74 * 4.0 - 2.0) + 0.26 * 0.3 * (4.0 + 2.0 + 2.0) = (0.96 + 0.64) = 1.6 BB
^^ Note we are also assuming villain is calling not raising to keep number of assumptions managable on forum response
BUT is checking back and bluff catching better?
How much more do we win by bluff catching (if any)?
If we check back, the pot will remain 4.0 BB big blinds on the turn.
If we assume villain leads out both streets for 0.5P and we check-call we can calculate the marginal expectation of bluff catching vs cbetting.
Pturn = 4.0 +2.0 + 2.0 = 8.0 BB
Priver = 8.0 + 4.0 + 4.0 = 16.0 BB
We have the best hand 61% of the time by the river.
EV(bluff catching) = 16.0 * 0.61 - (2.0 + 4.0) = 3.76
Marginal expectation = EV(bluff catching) - EV(cbet) = 3.76 - 1.6 = 2.16 BB
So there may be an argument for bluff catching 2 streets.
We have made a lot of assumptions here though.
The marginal expectation is highly sensitive to what villain is leading 2 streets with.
Obviously if villain leads a value heavy range, we won't be good the 61% of the time.
Against super aggressive villains that take a flop check back as an invitation to barrel their stack off, turning your K high into a bluff catcher may be the best play.
But when you call the turn, how many villains are really going to bet into you again on the river unimproved?
AND are you prepared to call down on any 2 board run outs here?