Quote:
Originally Posted by pipes
Yeah you lost the hand that time but it doesn't seem like a terrible mistake to me. You obviously know the odds better than I do but 235 should be a strong favorite over two card A2 as well, right?
But now you have better implied odds and playability. Your tri is probably too good to snow, but he would respect the strength of your badugi more after drawing one as opposed to the one you are initially dealt. (He knows that over half of initial badugis are K or Q high)
He could have ended up winning with a Q badugi and you would be talking about your terrible mistake to not break...
This is kind of like breaking a 97 in TDL, right?
I wasn't being results oriented. K532 is about a 62%/48% favorite to A2 over 3 draws. That's a lot of raw equity in itself, but think about what happens after first draw. Either he calls and takes 1 or 2 cards, or checkraise pats.
About 22% of time he takes 2, I'm now roughly a 77% favorite over 2 draws.
About 70% of time he takes 1, I'm still over 60% favorite.
About 9% of time he can checkraise-pat, and assuming the average hand he'd do that with is a Ten Badugi (mathematically a Jack but assume he's not checkraise patting Kings), I'm a 25% - 75% dog breaking and drawing twice.
So after one draw my blended (raw) equity patting the King is still over 60%. Obviously I lose 1 extra small bet in the 9% scenario, and an extra big bet on after 2 draws when he makes his hand there, and face a tough river bet occasionally. But while i haven't calculated the rest of the decision tree, I don't think my RIO is enough to eliminate the equity edge I'm building along the way.
In the actual hand he was able to draw 2 twice, then checkraise me with a naked A23 because I was drawing 1, so drawing 1 has its RIO as well. But given my clean draw underneath Galts Motor tells me I was a slightly bigger favorite (64%) breaking than patting over 3 draws so maybe my break was good in this specific hand. But my Tri isn't a "snow able" hand in this spot or even bet for value vs. another Tri, it's far too easy for opponent to make a better 3 card since they almost always start with better 2 card (A2 makes better 3 card about 25% over 3 draws).
Running more sims tells me that
632 & K632 vs. A2 have similar equity, but it's easy for him to make better 3 card so it's not clear to me that patting is worse. I think I have to run the decision trees and see how often he makes a 3 card he can play aggressively.
The worse his 3 card is the better our equity, that should be obvious but it may not be obvious how much it helps. K532 vs A4 is 66% over three draws, 4% is a lot, breaking is still higher tho, 67%. Using A2-A4,32, both patting/breaking come in at 65%.
Running the trees for unbreakable Kings is far simpler, I think they should have good equity HU vs 2 cards cause of their easy playability and paradoxical lack of RIO. For example, you don't have to pay off 2 big bets when checkraised after first draw and opponent pats. So if your predraw raw equity is over 50-50, 20% of your opponents equity gets them only 2 big bets out of you (1.5 if you can fold to flop raise) instead of 2.5 big bets.
Last edited by DesertCat; 03-01-2015 at 02:06 PM.