Sysvr4
Sunday, February 5th, 2006, 9:12 AM
QUOTE (KDawgCometh)
whoever has told u not to three bet is wrong. this is very easy
With such a thorough and scientific argument, who could argue?
I think it's much closer than "very easy". Here's why...
We can't really put villain on a range. He has only called up until his river raise and we have no reads. Thus, we have only to compute what we beat, what beats us, and what we tie. Here's my take on that:
We beat: 28 combos
---------
A7 = 2*3 = 6
A2 = 2*3 = 6
A4 = 2*3 = 6 (tho i doubt this calls the flop)
AQ = 8 (and i doubt this calls the flop + turn)
Beats us: 45 combos
---------
spades: 13-4 = 9 = c(9,2) = 36
set: 77/22/44 = 3 ea = 9
44 is as likely to call the flop as A4 and AQ above so I include it. Please note that I exclude AA/KK because they are so unlikely based on his PF play. Including those leans this further away from a 3-bet.
We tie: 4 combs
-------
AK = 4
Total = 28+45+4 = 77
EV of river 3-bet:
(28/77)*1 + (45/77)*-2 + (4/77)*0 = -.80 BB
I am very prone to counting combos incorrectly so someone check the above.
Let me go ahead and address some counterarguments I'm sure to hear on this analysis:
1) I shouldn't include all the spade hands.
Yeah, I know including all suited spades is a stretch. So is including A2, A4, and AQ above though. Moreoever, it doesn't matter. Even if you cut the spade hands in half, you
get:
(28/59)*1 + (27/59)*-2 + (4/77)*0 = -.44 BB
You're still not good more than 2/3s of the time.
2) I am not taking into consideration the times when villain has a hand that beats us that he does not cap with.
22 and 56s for example. I think he caps when we're beat the vast majority of the time. Moreover, we're beat 99% of the time that he caps.
3) I don't take into consideration a 3-bet/fold line by Hero.
That's because it would be so retarded as to not be worth addressing. You
must call a cap getting 17-1. Anyone who says differently is selling something.
Now, maybe I missed something in the above. Maybe I WAY miscalculated somewhere... but I'm going to go back to my original declaration that this is lose 2 / win 1 and say just call until someone points out the error of my ways.
Jeff