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 Originally Posted by Fnord
 Originally Posted by Scuba Chuck
If I make a 2/3 bet, and he raises me a couple thousand chips, I'm probably folding.
From a chip EV perspective, folding is a disaster unless you know enough to put him on AA/set/2pr or the money is a lot deeper.
Ok, let's get this out. How much deeper is deeper to you? Are you saying you need 200 BB's here to over come the estimated 8% card equity (46 vs 54)?
I mean put this in relationship where we're playing perfect poker. Let's assume everyone's cards are face up after hero makes a c-bet. Given that situation on this flop, our hero has 45.3% card equity. Hero has 8 clubs and 3 ks to improve (unless the board pairs a non-6) then he has 2 more aces.
In my situation, there's 820 in the pot, let's say I bet 550, and we're now talking about playing for stacks. So effectively, there's 1370 + the 550 match in dead chips, and it's 4790 to play. So it costs 4790 to win 6710.
By the way folding, we have 7055 (15% equity prize pool)
Shove, win = 13,765 (26.12% of the equity prize pool)
Shove, lose = 2,265 (5.45% of the equity prize pool)
Shoving = (.453)(.2612) + (.547)(.0545)
Shoving = .118 + .03
Shoving = .148
Shoving = 14.8% of the equity prize pool
This surprises me. I was actually expecting shoving to be slightly more than folding, and I was planning to argue that this edge is not worth it at this level, but, alas, the math speaks for itself.
Now, given the way hero played it, here are the results:
Folding = 6,785 (14.67% of the equity prize pool)
Shoving = 14.8% of the equity prize pool (from above)
Here we can say that shoving has a marginal edge. Do you think this can or cannot be made up at a later time?
Final thoughts
I don't know what range of hands you want to use for villain, but certainly, it's possible that our hero is ahead here, like if villain had QJ, hero is actually head. But, poker is a game of incomplete information, so I am using the following hand range to use for general purposes:
Board: 6d 7c Jc
Dead:
equity (%) win (%) tie (%)
Hand 1: 44.6403 % 44.57% 00.07% { AcKc }
Hand 2: 55.3597 % 55.29% 00.07% { JJ, 77-66, AJs, A7s-A6s, KJs, QJs, AJo, A7o-A6o, KJo, QJo }
No matter how we slice the range, we're going to be about a 45% dog on average (with the range being 25% behind to ~ 52% ahead. This second number excludes the possibility that villain is on a lower FD).
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