Today we’re mosting likely to experience a test that I uploaded previously on YouTube. Initially, many thanks to Will certainly for sending out this hand in. 2nd, lots of many thanks to every person that replied to the test. Your engagement is the just means I could make these points take place. As well as ultimately, many thanks to those of you that identified a mathematics mistake in an previously variation of this video clip – I’ve considering that remedied it, re-recorded the video clip, as well as reuploaded it.
The hand is from real-time $1/$2. Will certainly, a self-identified LAG that claims he opens up basically every one of his switches, opens up on the switch with T T . A nit in the large blind 3-bets to $22. Will certainly claims he’s certain he’s checking out JJ+/AK from this challenger as well as makes a decision to phone telephone call.

On the 9 9 2 flop, the nit makes a decision NOT to extension wager as well as Will certainly discharges a nearly pot-sized wager. The transform is the 2 as well as Will certainly adheres to through an additional huge wager when examined to. The river brings the 5 dental filling the purge attract as well as the nit again examines. So we have actually 3 alternatives right below as offered by the test. We could:
- Examine behind.
- Wager $100 right into $335.
- Go all-in for $213 reliable.
So ask on your own what you would certainly carry out in this place in the past I offer the outcomes of the test. The outcomes were basically what I anticipated. 68% of you claimed you had examine behind, 22% that you had go all-in, as well as the continuing to be 10% would certainly wager $100. So let’s damage down all 3 alternatives.
Wagering $100. I do not actually see what that alternative does. Do we obtain called by a number of added second-best hands that would not phone telephone call an all-in? I do not assume so. Does it develop added fold up equity to JJ+? No. Generally this alternative neither takes full advantage of fold up equity neither obtains activity from even worse hands.
To make sure that fallen leaves examining behind or going all-in. Will certainly claimed in his write-up that pushing here’s generally transforming his hand right into a bluff. To make sure that elevates the inquiry, do we ever before obtain overpairs to fold up right below? What is this wager in fact doing as well as is it excellent or negative?
So let’s dig into the mathematics of the scenario. For scenarios similar to this I developed a wager versus examine device you could download and install. All we should develop here’s the worth of examining versus the worth of shooting. In the past doing that, I require making a crucial factor. The outcomes of the mathematics depend highly on the presumptions we place right into it worrying the varies that will certainly phone telephone call as well as fold up as well as exactly just how our hand does versus the calls vary.
Some presumptions will certainly cause the get rid of verdict that examining back is ideal right below, as well as others will certainly highly indicate going done in. In various other words, the mathematics is a fixed structure. Our presumptions are variables that we linked into the formula.
So let’s think of some affordable presumptions. Considered that Bad guy is a nit, I assume it is inescapable he just reaches the river with a very solid vary. If this holds true, the nit is holding JJ+ as well as 2 purge combinations as well as is never ever mosting likely to fold up to our shove navigating 2.6-to-1.
So if these presumptions are right we’re in a severe scenario where we’re constantly obtaining called when we shove as well as we constantly shed. As well as truthfully, you do not require a calculator to inform you that this is hence a shedding wager. Plainly, the worth of wagering here’s simply the reliable dimension of the shove of -$213.
That is very negative, undoubtedly, yet what’s the worth of examining back? We still constantly shed, yet the EV of examining is merely $0. So with these presumptions, examining is much above pushing on this river.
And now let’s transform the presumptions. Mean the nit reaches the river with JJ+/AQ+ as well as never ever folds up overpairs as well as flushes. Possibly when the board dual sets on the transform they make a decision to take another off, which versus Will certainly that is a LAG as well as most likely regarded on the bluff-heavy side of the range could be affordable.
I do not always concur with these presumptions, yet let’s toss them on the calculator. So we still shed to the overpairs as well as the flushes, yet let’s mean the nit obtains right below with every one of the AK as well as AQ combinations. 2 of those combinations are flushes that defeat us, yet we defeat the continuing to be 30 mixes. If we examine back right below, the calculator informs us our EV is a color reluctant of $180.
Currently we should contrast that to the EV of pushing in this place. This calls for us making an additional presumption. Especially, if we shove, is bad guy mosting likely to phone telephone call with the non-flush AK as well as AQ? If no, after that our challenger is just check-calling with hands that defeat us. From the calculator, we locate that when Bad guy folds up the non-flush AK as well as AQ our EV is $83.
So with these presumptions, it ends up our highest possible EV is again to examine behind on the river. What this informs us is that in buy for the river shove to be the much a lot extra rewarding play, we have actually ahead up with presumptions such that we’re winning when called, as well as/or Bad guy is folding hands that have actually us defeat.
Let’s appearance at the instance when our shove folds up out several of the overpairs. By having fun with the calculator we locate that we require Bad guy to have actually a very high river folding percent in the past our shove comes to be rewarding. In my check out that appears hopeful.
3 much a lot extra takeaways in the past we finish up. Initially, one review that GTO supporters could construct from this evaluation is the adhering to. They would certainly say that from a GTO viewpoint we need to transform our hand right into a bluff right below often. Amazing your jets. We are taking care of a nit, as well as nits have actually a baked-in frequency-based trouble.
They reach the river with an incredibly solid vary that they are not folding. Versus such gamers we make use of them by examining back, not by establishing loan on discharge. 2nd, there is an intriguing factor elevated by Will’s write-up. He claims:
Considering that I opened up my switches so large, as well as just called his 3-bet, I figured the flop nailed my vary a lot greater than the nit’s.
So let’s return to the flop when the nit examines. I 100% concur Will certainly could have actually some monsters right below. T9 as well as 98 as well as A9 are done in his vary. Yet Will’s large switch opening up vary additionally indicates he could have actually a substantial variety of combinations that whiffed this flop. So certain you have actually much a lot extra nutted combinations that the nit, yet that does not indicate the nit is mosting likely to hurry to the fold up switch.
As well as this leads us to the 3rd as well as significant factor. My recommended presumptions concerning the vary the nit programs up with on the river are educated by the line as well as the wager sizing top approximately that factor. These factors to consider are constantly basic to effective hand reviewing. So let’s examine the play. Will’s raise-call preflop is entirely conventional. On the flop Will certainly makes a decision to discharge a huge c-bet. Exact very same tale on the transform.
The wager dimension here’s enormous. Keep in mind specifically that this transform wager goes across the $100 limit which is emotionally pertinent, specifically in real-time video games. When a nit makes a decision to phone telephone call a $100+ wager at these restrictions, you must be petrified. Calls such a wager indicates a nit is severe concerning their hand, as well as if they are severe abdominal muscle out it they’re possibly not going to allow it take place the following road.
So let’s appearance at an additional means this hand could have actually played out. What takes place if Will certainly wagers smaller sized on the flop? This does 2 points. Initially, we could obtain called by a broader vary. In the context of this hand as well as the most likely preflop 3-bet series of the nit, we could maintain in the AK as well as AQ. More, if we obtain gotten in touch with the flop we could discharge a smaller sized bank on the transform. If we defendant we generally transforming our hand right into a bluff, this is a far better scenario for us.
In various other words, using smaller sized sizing, we established various varies as well as river discomfort factors. On the river, we will have actually much a lot extra loan behind as well as could have actually a huge sufficient covering to discharge that will certainly take the nit off hands that defeat us. We will be laying the nit a even worse rate on the river with this bigger wager which could offer us the added fold up equity we require.
Once once more, many thanks to Will certainly for sharing this intriguing hand as well as to every one of you that got involved in the test.