Quote:
Originally Posted by jambre
I'm saying that you cannot compare shoving turn to just raising turn, as shoving is closing action whereas by raising you still have the river to play. I don't see what's hard about this.
I was wondering the same thing.
Like I said here:
Quote:
Originally Posted by Richard Parker
If the goal is to maximize villain's losing range, you have to at least consider difference between the frequency of calling a smaller raise and calling a shove. But keep in mind that we are ignoring several other factors in this comparison, but the idea is basically the same as trying to figure out the best bet size on river.
I did acknowledge that it's not a true EV comparison, and I made it clear that the idea is the same as trying to figure out best bet size on river.
However, if you insist on figuring out EV between shoving and raising $125, you're not doing it correctly.
Quote:
Originally Posted by jambre
You need to compare EV of shoving compared with EV of raising turn, which includes villain potentially calling the rest OTR.
Correct, except that you failed to acknowledge the aspect of hero losing x percentage of times, and that hero wins $180 automatically 50% of the times that villain folds.
Quote:
Originally Posted by jambre
Situation A: V calls a 250 shove 50% of the time.
Situation B: V calls a 125 raise 100% of the time, but potentially will call more otr.
Assuming we are ahead of his range then situation B is more profitable.
Ok, let's just use the range I had already established:
Quote:
Originally Posted by Richard Parker
Group 1 - Hands ahead of AK
A2, A3, A9, 22, 99, 45, 93, 92: 58 combos
Group 2 - Hands behind AK but are considered strong by villain
AQ, AJ, AT: 24 combos
Group 3 - Hands that turned draws
A4, A5, 9X 24 combos
A4/A5: 16 combos
9X: 8 combos
Since we're not raising to fold, how we play against Group 1 is moot. So the focus is on Group 2 and Group 3.
I'll just do EV calculation against each individual group one by one, and I'll start with Group 3:
Against 8 combos of 9X, we are not going to make another dime from villain, and when he improves (villain has 31.3% equity), we lose $250.
EV calculation here:
.687($180 + $75) - .313($250) = $175.185 - 78.25 = 96.935
.50(180) + .50(.687($180 + $200) - .313($250)) = 90 + 91.405 = 181.405
Against these combos, it is clear that shoving is the winner by $84.47.
Against 16 combos of A4/A5, villain has 15.9% equity, and we may or may not get a call on the river if villain doesn't improve.
.841($180 + $75) - .159($250) = $214.455 - 39.75 = 174.705
Assuming villain would call 50% of times on river with A4/A5 unimproved, we're looking at: +.841($62.5) = +52.5625. You can tweak this number around if you want. 174.705 + 52.5625 = 227.2675
.50(180) + .50(.841($180 + $200) - .159($250)) = 90 + 139.915 = 229.915
Very close, but villain would have to call at least 50% of times when we shove river without improving his hand.
I'll call it even here.
Last group, which is Group 2 (AT - AQ), and I don't think it's fair to say that villain will fold 50% of this range.
But let me just do the calculation first.
Against 24 combos of AQ, AJ, AT, villain has 6.81% equity, and we may or may not get a call on the river if villain doesn't improve.
.932($180 + $75) - .0681($250) = $237.66 - 17.025 = 220.635
For sake of this exercise, I'll tweak it so villain is calling 90% of the times on river.
.932(112.5) = $104.85; 220.635 + 104.85 = $325.485
.50(180) + .50(.932($180 + $200) - .0681($250)) = 90 + 168.5675 = $258.5675
Raising $125 + villain calling 90% of river shove is winner by $66.9175.
But if we tweak the number a bit where villain will call shove 70% of times:
.30(180) + .70(.932($180 + $200) - .0681($250)) = 54 + 235.9945 = $289.9945
Difference of $35.49.
Bottom Line:
Against Group 3:
Shoving is clearly better by $84.87
Against Group 2:
Raising and shoving is better by either $66.9175 or $35.49.
Feel free to tweak around and also attack my math if it is incorrect anywhere.