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 Originally Posted by drmcboy
getting him to 5bet jam Q9s isn't good for us, it's neutral EV....
This is completely false and flawed logic.
By go'n'going we manipulate our stack size so that VILLIAN is making a neutral EV play, but we make a vastly +EV one.
If we 4bet jam he folds Q9s, we gain the 27k in the pot, our stack goes to about 105k 100% of the time.
If we 4bet small and he spaz shoves Q9s, we're now in a spot where we are 68% favored to have a net chip gain of +92828 68% of the time, and a loss of -79428 (antes minus our raise) 32% of the time.
92828 * .68 = 63123 chips
79428 * .32 = 25416 chips
63123 - 25416 = +37707 chips, which is a 30% gain in our chip equity vs shoving, and we didnt even have villian make an EV mistake.
And that doesnt include the amount of times he calls preflop and folds flop.
Then you also have to consider the times he has AK and calls preflop and then calls us perfectly postflop, which is your other big worry.
If we get it all in preflop, we're 56% to net +92828 and 44% to lose -79428.
92828 * .56 = 51983
79428 * .44 = 34948
51983 - 34948 = +17035 chip differential shoving.
Now, compare calling. He flats our 4bet to 28k. there's now 56k + 7200 (antes/blinds) in the pot. AK hits the flop 1/3 times. He folds 2/3 times, or 66.66% and we gain the 63.2k in the pot. He calls 1/3 times, and we're in bad shape (10% or so on most A or K high flops) to scoop whole pot.
+41400 (See my post below for how I got this number) chips 66% of the time (+27324 chips)
+92826 chips 10% of the time (+9283 chips)
-79428 chips 24% of the time (-19062 chips)
= +17545 chips on average, which is just a marginal increase, however there are 2 MAJOR points that I take into consideration here.
#1: In the first scenario, we go bust 44% of the time and are completely out of the tournament with no chance to push other stacks or do any of that fun stuff, and in the 2nd scenario we only go bust 24% of the time... So, considering the EV of both plays is pretty close, I'll take the lower variance/lower bust rate option.
#2: My math in the 2nd scenario doesnt include the (I admit, rare) flops like KJ3 and AJ8 where we both hit, and flops like TJx where he flops a flush draw and we're favored still, etc. So the actual chip equity in the 2nd situation is, IMO, a bit higher. Combine that with lower variance and that's my play whenever possible.
Now, there are lots of other variables in this hand, but there's no doubt that go'n'going is definatly more profitable then shoving if villian EVER flats preflop, or EVER 5bet spazzes.
Edited to add: My math might suck, I'm having a stress overload cause my kids suck. Feel free to refute it if you feel I did something wrong.
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