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[Theory] High equity turns for c-bettor: Large size or small size?

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[Theory] High equity turns for c-bettor: Large size or small size?

Background:
I'm continuing to work through MMAsherdog's BTS Ultimate Course and in the Blind vs. Blind video he shows a pattern that I don't understand. So the spot is SB vs. BB single raised pot. We range c-bet out of the SB on a rather dry K-high board that favors the PFR and get called. The turn is a broadway card, so a high equity card for the SB c-bettor.

Question:
Of course, after a range c-bet, we check a lot, especially oop. We still have a betting range though. What I noticed is that there are two different kinds of boards that lead to completely different sizes that we choose on the turn.

Board 1: KT4 Q
Here, the SB c-bettor goes for a small sizing on the turn. This makes a lot of sense to me since a high equity card for our range will lead to quite some betting (even after a high frequency c-bet OTF oop), and since a substantial part of our range wants to bet we go for a small size.

Board 2: K52 Q
This is also a high equity card for the SB c-bettor after a high frequency c-bet OTF, but now we go for a big size when we bet. Why? Across many regions of the game tree, I have whitnessed the rule of thumb that blank (!) turns lead to large sizes (and a lot of checking) for the c-bettor, whereas high EQ cards lead to a small size and a large betting frequency. If a substantial part of our range wants to bet, why not choosing the small size?

Attempt of an answer:
Maybe it's too simple to say that high equity cards will lead to a small size and blanks lead to a big size. I was recently told that

  1. the equity of a card for our range determines our overall betting frequency
  2. the polarization of our range determines our sizing

So could we maybe say that on KT4 Q, our betting range is less polarized since BB will also have AJo/J9o and the tops of our ranges are closer together? While on K52 Q, SB's nuts are uncontested and want to go big? This is my hunch, but when I check the equity distributions of SB and BB for both spots in Flopzilla, there is few visual difference in the tops of the ranges...

What's your take on this?

5 Comments

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HawksWin 3 years, 8 months ago

The 2nd board is going to be very dynamic for the IP caller. He will have A2/A3/A4/A5/43s/64s and thus the bigger bet will be better for extracting value and denying equity. On the first board, we kind of smash it and he doesn't have much there. He should 3b most of the suited broadways so that leaves weaker TP hands and then K4s/44 in his nutted region.

RaoulFlush 3 years, 8 months ago

Don't we just really smash both boards anyways in a SRP? And I guess if BBs overall range adds more Equity OTT (2nd-board) usually solvers are sizing down, right?
So my reasoning would be more like this:

The first board smashes our range, but Villain has nutty hands OTT that beat a lot of our flopped/turned monsters. So we still have an advantage in strong TP/2p/sets while Villain hits a decent amount of KT/QT/J9 and still some AJ. So we still have a huge rangeadvantage (high frequency bet), but the Nutadvantage doesn't really shift in anyones favor (so a lower sizing as something like KQ/KT doesn't really want to go for stacks here).

The second board smashes our range OTT as well: we still have a huge rangeadvantage (high frequency bet) as we have all flopped (suited) 2p/sets but add a decent amount of sets and TP2P as well that are not part of Villains range. So the nut advantage will even be stronger for Hero (=bigger sizing) because we still have 100% of sets and Villain only 55/22.

HawksWin 3 years, 8 months ago

RaoulFlush I was referring to how much we smash the flops, not so much the turns. But the range/range interaction caries over to turn.

Again, leaving solvers out of it and dealing strictly with range vs range interaction, I want to drop the hammer and bet big to apply pressure to the draw portion of his range that we are still quite vulnerable to. This is what leads me to want to bet bigger on both flop and turn on the 2nd board to be honest.

Also, I am assuming that we are referring to rainbow boards here. If it is a two tone situation, I am even more inclined to bet bigger on the turn in the 2nd hand.

Brett Banks 3 years, 7 months ago

In spots where both players have relatively equal amounts of nutted hands there isn't a lot of incentive to go huge. Both players have a lot of AJ J9 on KTx Q.

robbo 3 years, 7 months ago

It has to to with the 3card straight turn. If you put a brick on KTx you Will se se much larger size and checka used mainly. If the board K83Q aswell. But on any 3 straight turn sizing smaller is mostly used.
Same concept IP in srp

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