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well kminds alot better than me and disagrees so ill just spill.
hes a 24/18 so hes got a lot of shit in his range and we've got a strong hand. TPTK + nfd is either flipping or ahead of everything he can have, so we should be thinking of it like a nut hand.
Ok, so A23tt board, what can he have here. Readless and just going by how i see ppl with these stats play, i think hed do the following
um, for clarity im assuming his opening range is {77+,A8s+,KTs+,QTs+,JTs,T9s,98s,87s,76s,65s,54s,A9 o+,KTo+,QTo+}. could be wrong, we dont have reads..w/e.
My initial plan when seeing this was to call the flop, and bet/raise most turns (cant think of one i wouldnt just yet)
anyways, hes doing what with what now
1) betting and raising {AA, 22, 33, 54, AK, AQ} 37combos
2) betting and calling a reasonable raise {A9-AJo, A8s-AJs, QcTc+ JcTc, KcTc+, 6c5c, 7c6c, 8c7c, 9c8c, tc9c} 35 combos
3) betting and folding to a raise {77-KK, QTo+, KTo+, QTs+, JTs, KTs+ (not clubs)} 96 combos
4) probably just c/fing (T9s, 98s, 87s, 76s, 65s not clubs} 15 comobs
Soooo....
1) gets it in regardless of what we do really (except maybe ak, aq, but fuck them)
4) isnt here likely.
So its down to deciding how best to pwn 2) and 3) (131 combos)
up till now ive only considered how he reacts when he bets and then we raise. so now i have to consider how he reacts when he bets and we call
Theres a few situations. its a little difficult to address how he plays his entire range based on each individual card that falls, so im gonna separate it into two groups and just assume he plays some part different depending on the card. Group A (flush cards fall), and Group B (non flush cards fall)
remember im ignoring the previous ranges 1) and 4) for simplicity and seperating the remaining ranges 2) and 3) into a new set of ranges
5A) bets again, and gets it in {QcTc+, JcTc, 6c5c, 7c6c, 8c7c, 9c8c, tc9c, QcQx, QcTo+} 17 combos
6A) bets again and calls{pretty much nothing imo, maybe he gaybets Ax but hes likely folding to a raise}
7A) bets again and folds {50% of 77-KK, QTo+, KTo+, QTs+, JTs, KTs+ where none have clubs} 89/2,
8A) check calls {A9-AJ, A8s-AJs} 27
9A) check folds {50% of 77-KK, QTo+, KTo+, QTs+, JTs, KTs+ where none have clubs} 89/2
So cliffnotes, on flush boards, we get a full 3 bets from 17 combos, 2 bets 27 combos 1.5bets from 89 combos. I use the term "bets" to mean bet/raise's. The 2bets are worth roughly 3 single bets, and 3bets are worth roughly 3 2 bets (river/turn raises are very large relative to flop bets ya?)
On non flush boards
5b) bets again and gets it in ..{20% of flush draws that were in 5a}
3.4com
6b) bets again, calls {40% of flush draws in 5a, A9-AJ, A8s-AJs}
33.8
7b) bets again, folds {same as 7a}
89/2
8b) check calls {the other 40% of flush draws that were in 5a}
6.8
9b) check folds {same as 9a)
89/2
ok so on non flush boards we get 3bets 3.4 combos, 3 from 33.8, 1.5 from 89, 2 from 6.8
OOOOKKKK last thing, turns where we raised instaed of calling and he called
2) betting and calling a reasonable raise {A9-AJo, A8s-AJs, QcTc+ JcTc, 6c5c, 7c6c, 8c7c, 9c8c, tc9c}
IIA) gets it in (all flushes) 8 combos
IIIA) c/f (Ax) 27 combos
he likely isnt calling our raise and leading out with Ax and he folds the weaker ones to a turn bet.
So when we raise and the turn flushes, 1 bet 89 combos of air, 2 bets from 27 combos, 3 bets from 8
Ok
IIB) gets it in {50% flush draws, 20% Ax} 9.4
IIIB) c/f {50% flush draws, 80% Ax} 25.6
So we raise here, 1bet from 89 combos (air), 3 from 9.4, 2 from 25.6
I ignored the case where we check the turn, just cuz i dont think we gain anything when we raise flop, check turn, and bet river cuz of lost value from flush draws and no air to get value from
So...In summary
we end up getting
29.76 3rd bets, 10.84 2nd bets, and 89 1.5 bets when we call the flop
as opposed to
9.12 3bets, 25.88 2bets, 89 single bets when we raise flop.
So if the assumptions prior were correct, then calling is better since we get more value out of his Ax hands (and thus get a 3rd bet more often). To recap, the assumptions where that he followed a strict 18% range that is listed above, that he would continue to bet with air half the time, that he'd fold his weaker aces after calling a flop raise, that he'd continue to bet about 60% of his flush draws if we called, and c/c the rest, that our equity vs anything other than his nut range is static regardless of whether we call or raise, and i think that might be it.
ANYWAYS, kmind disagrees somewhere, and its likely cuz he disagrees with one or many of these assumptions. Id like to hear more.
p.s.: no one actually fucking does this for realsies. But they do do the process. They do this exact thing but instead of finding each range exactly, they estimate them. You get a feel for how much of villains range is pairs/air/etc, and also have a feel for how he plays these hands depending on what you do. Its not important that you actually write down every single little combo, but it is important that you're looking at this from a "ok, if i do x, how does he play each part of his range...how can i maximize value here...". What i posted above is the long exaggerated more concrete way that its done on paper that math geeks like me do out of curiosity. HOWEVER EVERY GOOD POKER PLAYER IS DOING THE METHOD. I've seen alot of skimping on this and just picked this thread to do it in.
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