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Firstly, the assumption that you must have gione wrong just because you didn't win the hand is totally illogical. If this was the case we'd be able tio win 100% of hands in poker.
Okay so let's work out if your c-bet is good or bad.
Step 1 - The Preflop Range
Villain is pretty damn tight so we give him a calling range preflop here vs your BU open and then work out how much of that he needs to fold on the flop to be profitable then see how much he does fold.
Preflop lets go for something like: QQ-55,AQs-AJs,KQs,QJs,JTs,T9s,AQo-AJo,KQo
So the better PPs that he isn't 3 betting, same for boradways and suited connectors. Since you're opening the button, I think even a nitty guy like this will play a range somewhere around this region.
So now we work out how often he needs to fold in a vaccuum for your C-bet to be +EV
Step 2 - Maths of your c-bet
You're risking 0.22 to win 0.35 + your 0.22 back. So....to break even here this c-bet has to work 0.22/(0.35 + 0.22) x 100 % of the time. If you have no equity etc and you can never win the pot on later streets.
So 38% of the time we need folds here.
Now in the actual case we probably do have close to 0 equity here but very rarely we can hit a J and make the best hand etc and have back door draws. So lets assume that numbers a bit lower and estimate 35% of the time to be safe. This is how often he needs to fold to your c bet, this is a shitty board to barrel vs his range so I wont give you any equity for those possibilites.
Step 3 - How often does he actually fold
Right back to that preflop range, first what does he fold.
AJ = 11 combos (we block 4 and he doesnt fold AhJh)
AQ = 15 combos (he doesn't fold AhQh)
KQ = 15 combos (doesn't fold KhQh)
QJs = 3 combos
JTs = 1 combo (estimate that he folds a gutter + 2 overs 1/3 of the time)
That's about all he folds of his range vs that c-bet for a total of 44 combos
So how many combos are there in total in this range.
AJ = 12
AQ = 16
KQ = 16
QJs = 3
JTs = 3
T9s = 3
QQ = 6
JJ = 3
TT = 6
99 = 3
88 = 6
77 = 3
66 = 3
55 = 6
89 combos (I think)
so he's folding 44/89 or 49%.
Step 4 - The Conclusion
So given his range contains this many broadway combos and no extra combos of middling suited connectors, the c-bet looks totally fine. He may even have 22-44 sometimes which fold also. If we take out like all KQ combos and add some of 87s 76s 98s instead we'll find it's less fine but it depends on his preflop range. We need more information to know exactly whether this range is precise but it's a damn good estimate given the info we have imo.
If he ever bluff raIses us on this board then we get folds less often from his "folding" range but we'll assume this isn't the case for this guy. So this can be a bad board to c bet vs lots of guys who 3 bet all these boradways and flat mainly pairs and suited connectors. If this guy's been 3 betting we can take out shit like AQ. He hasn't though, so this actually makes him an okay villain to c-bet this board vs because
1. As we see, the boradway combos he wont 3 bet make a LOT of his range
2. He wont bluff raise us with what we assume to be his folding range
3. He doesn't have as many lower medium suited connectors and gappers as most.
I've thrown this together very quickly so if there are errors I apologise, but I think it does the job. This is the sort of analysis you need to be doing in these spots and not "LOL WHAT DID I DO WRONG"
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