Quote:
Originally Posted by Bob148
Good morning,
I'm not gonna argue about the definition of "being a dick" because the definition is hazy and subjective. I suppose it's not your fault if you don't realize, nor think, that you were being a dick. I took some time to cool off and I'm feeling much better about the situation.
I'm glad the heat has dissipated.
I would still be interested in seeing the hand ranges. I have not been able to produce anything that comes close to having a significant majority share of the equity with a weak ace and then dropping by close to 20% in equity when taking on KK on the basis of card removal.
Let's take the actual board (AQ558) and give hero A2. In this case, there are tons of chops. If we give villain AJ/AT/A9/A7/A6/A4/A3/A2 as all the ace combos, we have:
AJ/AT/A9/A7/A6/A4/A3/A2 = 25 hands that chop with us
If our initial equity was 90% and that there are x hands weaker than ours, we would have
[(50% * 25) + (100% * x)] /(25 + x) = 90%
After some algebra, you get x = 100. So this means that villain's hand range must consist of about 100 more hands that we beat. To shift the equity by 20%, we need to push through about 25 hands (20% of 125) in order to create the equity shift.
AJ/AT/A9/A7/A6/A4/A3/A2 = 32 hands that beat us
This only a net gain of 7 hands from the Ax hands. This still leaves another 18ish hands, and card removal effects from picking up two kings doesn't do that.
If we start with a more modest 70% equity, we get x = 34 for a total of 66 hands. We would now need to push through only about 13 hands. This is actually kind of close, sort of.
We still gain by the 7 hands from before, which only leaves us about 6 hands to remove. The KQ range drops from 12 hands when we hold Ax to 6 hands when we hold KK. And that would account for those 6 hands.
But in this case, the dominant effect is actually that A2 is chopping with so many hands that it normally loses to, not because card removal is dramatically sinking your equity.
If you make the board unpaired, you should see a significantly different story told by the equity numbers.
---
If you could be specific about what buttons of yours in particular I pushed, I can try to avoid them in the future. But lacking that, the odds are good I'm going to press them again.