Quote:
Originally Posted by madlex
FWIW, we’re not drawing dead vs. sets (other than AA) but should have roughly 4% against 44 and maybe 3.5% against 77.
Ahh, yes, I was being lazy. Looks like it’s actually 1.6% and 1.9% against 44 and 77, respectively.
Quote:
Originally Posted by madlex
We also should have slightly more than 15% against A7 and significantly more against A4. I’m on my phone and too lazy to look it up right now, but TPTK vs. TPBP without any FDs is actually somewhere between 75 : 25 and 70 : 30 depending on board texture because there are 6 direct outs on the turn. In our hand here, both K and 7 make AK a better two pair than A4.
Right again. It’s 15.5% and 27.5% for A4 and A7, respectively. Averages out to ~21.5%.
So the formula for our equity should be closer to
(16*62+4*47+6*2+3*21)/29=43.3%
My previous answer to 1 decimal of accuracy was 42.2% (I rounded up).
So many other adjustments can be made:
There are a few other hands that we’re flipping against that I neglected to include like 8h6h,5h3h, but I wanted to keep the hand categories to a minimum for simplicity. This shouldn’t change the answer much, though, cause it’s a small number of combos and Eq~50%.
We can also tinker with ranges by removing half of the naked flush draws (maybe Villain isn’t quite as wild as we suspected), dropping the 16 combos down to 8. That changes the equity in this second baseline to
(8*62+4*47+6*2+3*21)/21~36%.
Then calling would be a small mistake.
If we adjust the second baseline to give Villain all 6 combos of AK then our equity ticks back up to 39%. Calling =0 EV.
If we adjust the first baseline to give Villain all AK then our equity ticks up by 1% to 44%. Calling more +EV than before.
If V has all 8 combos of AQ then it’s a slam dunk +EV call in any case.