Quote:
Originally Posted by niceguy22
What's best if we know shes never folding to a shove otf, and we know shes shoving turn? Seems like calling flop and folding flop are pretty close
Let's look at this as though it were HU and see what we see. Obv, this is complicated by not knowing shorty's equity in the main pot though. Do we have a range estimate for him?
The EV of folding is always zero. Let's look at our other options, given your assumptions of never folding and shoving all turns.
If she is never folding to a shove, and we have 45.5% equity, then if shorty weren't in this is a +EV shove to realize our equity. She has $128 left. So you put in $158, which will be 44.8% of a $353 pot. This is obv +EV, but by how much? 45.5% of the time, we will win $195 (88.73) and 54.5% we will lose $158 ($86.11) for an overall EV of $2.62. How does this compare to calling?
If we call and face a shove on a blank turn, we'll have to fold, as our equity against her drops down to 28.48%, and we will be facing a bet of $128 into $97, meaning that even if shorty has no equity, we still are paying way too much by putting 36.3% of the total pot in.
On the other hand, we have 9 outs to the flush, which gives us 94.9% equity and 3 outs to two pair that give us 78.8%, and 2 outs to trip Ks, that give us 38.6%.
So if we call flop, 72% of the time we will be folding, thus losing our $30 flop call. EV = -$21.60
~18% of the time, we will GII with the flush. When that happens, we win $195 94.9% of the time (185.05) and lose $158 5.1% of the time (-8.05) for an EV of (.18*177)=$31.84
~6% of the time we GII with 2-pair, winning $195 78.8% (153.66) of the time and losing $158 21.2% of the time (-33.50) for an EV of .06*120.16=$7.21
~4% of the time we will have trip Ks and will end up having the odds to call (since our $30 is already in the pot) even though it is overall -EV when we count flop and turn together. .04*(.386*195)-(.614*158)=.04*(75.27-97.01)=.04*-21.74= -$0.87.
Adding it all up (and still ignoring shorty) the EV of calling is $16.58. Clearly better (given our assumptions) than shoving.
This is a good exercise, but doesn't really answer the question, as 1) The assumptions are suspect (one assumes she folds at least some weaker Ks with no diamond to a shove, and that she doesn't shove in to a dry sidepot when the flush comes) and 2) it doesn't account for shorty's unknown equity in the main.