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 Originally Posted by mcatdog
 Originally Posted by KoRnholio
In fact that is why I did push into him. If I knew he would only call me with Ax/88+ I would have folded.
This is bad logic. From an ICM perspective you don't want him to call unless your chances of winning the hand are 90% or better. In other words, him calling with Q6o was -EV for you. The more hands he calls with, the worse off you are.
How did you get the number 90% from ICM? There aren't any hands that KK is a 90% favorite over (it's 88.7% against 72o that shares the same suits as the kings). That would indicate that the KK is a fold if we knew he was calling with any 2. But my stack isn't big enough to be a total shoe in for 2nd if I fold until the shorties bust.
I read up on an ICM procedure in a book and adapted it here. I pretty much shot from the hip on the placement percentages with my current and potential stack though.
A) Folding and having a 15% chance at first place money (I will be ouchipped at least 6:1 if I wait for the shorties to bust first), 75% chance of 2nd, 5% of 3rd and 5% of 4th = EV of $127
or B) Assuming his calling range is any ace and any PP (20% of all hands) I will win an all in against him (if called) 72% of the time giving me a much better chance at first. I'd say I would have a 29% chance of 4th (28% getting knocked out in the all in, 1% if I win and somehow still lose to both shorties), 2% chance of 3rd, 44% chance of 2nd and 35% chance of 1st (I will still be ouchipped 2:1)= EV of $129.80 if called. If he folds (80% of the time) I see a small gain in chips so my EV will be a little above the $127 that I would have if folding. Maybe $130 or so. Averages out to about $130 EV
or C) If his calling range is really any 2 it improves my chances in the all in to 82% making the %ages 19% for 4th, 2% 3rd, 44% 2nd, 35% 1st (% of getting 1st and 3rd stays the same since I will have the same number of chips when I win the all in, as in B)). This nets an EV of: $135.80
I think my guesstimates of my win %'s with certain stack sizes are pretty close to correct, so there is a small increase in EV by pushing here, but I am thinking it is a lot closer than most people would have thought right off the bat when seeing this hand.
BTW I did this math in a spreadsheet, so there shouldn't be any computational errors, just errors in judgment in what % of the time I will place given my stack size (I adjusted slightly for the better for my superior skills ).
I also did a calculation for specifically Q6o. I will win that all in 87.% of the time, giving an EV (following the numbers above) of $138.50.
Now that I've worked through this, I probably should have just done ICM the right way using specific stack sizes. But I think this is a pretty close approximation.
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