Quote:
Originally Posted by johnnyBuz
Yes the point would be to fold out hands like JJ/TT/99 and whatever else he may be squeezing with like AQ. He may even nit it up and fold QQ as our line is insanely strong when shoving here.
We definitely don't want to fold out AQ. We much prefer a fold from the rest of pairs and othe AK in his range, though.
Lets assume "a few" drunk fish calling equals 3. Further, to make the math easier, let's assume they all fold if we shove (this is likely true). In that case, there is $210 in the pot already. If we shove and he folds, that is our EV for all of his holdings.
If he calls the pot will be $1060. We will be putting in $480 of that, which we are risking to win $580.
So if he calls with AQ
71.02% of the time we will win (+411.92)
24.37% of the time we will lose (-116.98)
2.31% of the time we will tie and chop the dead money (+0.69)
Overall EV $295.63, or $85 better than him folding.
Now if he has an underpair, we'd far prefer it to fold and win unopposed. In fact, even though it is a "flip," it's not We're actually a bit -EV here, even with the dead money, surprisingly. The ties are really rare here, so Imma leave them out.
43.62% of the time we win (+253)
56% of the time we lose (-268.80)
Overall EV -$15.80.
If he has AA or KK, of course, we are hating life with only 18% equity. Fortunately, we block those, so there are only three combos of each available, even if the large sizing doesn't reduce their weighting.
So let's see how we are doing against his whole range. I approximated it at 88+ AJs+ AQo+ with AA and KK reduced in weight due to his sizing.
Against that range, we have 50.35% equity and a profitable shove (+$53.60) if he calls with the whole range.
If he folds all the AJ/AQ, 88-TT and half of the JJ-QQ, he's folding 48 combos out of his range of 61 combos, or 78.69% of the time (EV=+165.25) and calls 21.31% of the time with AK and the remaining half of the JJ-AA combos (we took half of KK and AA out by his 3-bet and assumed he folds QQ/JJ half the time). When that happens we have 40.275% equity (EV=-9.60) for an overall EV of shoving of +$155.65
If his range is tighter, of course, we have much less FE. Let's say his range is only JJ+ (all combos), AQs+, and AKo. Now he only folds 9 combos out of 25 (36% of the time). Our FE is +75.60 and when called we have 38.824% equity for an EV of -44.92, for an overall EV of +$30.68.
We should never be folding unless you think his range is even tighter than this, which seems unlikely.
Of course the drunk fish math is insanely complicated and dependent, so I can't do an EV calc for flatting, or even for the weird chance one of them cold calls our shove.