1.
Hero (BB): $100 (100 bb)
MP: $231.91 (231.9 bb)
CO: $100 (100 bb)
BTN: $147.04 (147 bb)
SB: $108.87 (108.9 bb)
Preflop: Hero is BB with A
8
3 folds, SB raises to $2, Hero calls $1
Flop: ($4) 8
6
K
(2 players)
SB bets $3, Hero calls $3
Turn: ($10) 7
(2 players)
SB bets $3, Hero calls $3
River: ($16) T
(2 players)
SB bets $5, Hero raises to $19.50
Opponent is fishy but plays regularly. 26/16 over 224 hands.
UO SB: 67 -- Cbet F/T/R: 70/50/100 -- Fold to 3b: 43 -- WTSD: 28 -- AF: 1.1
Easy defend, no need to 3-bet pre-flop since he doesn't fold often and we keep his range super wide while playing IP. We also expect him to bet Axx boards very often.
Flop betting range: 66+, ATs+, A8s, A6s, K2s+, J9s+, T8s+, 97s+, 86s+, 76s, 65s, ATo+, A8o, A6o, K7o+, 98o, 87o
The turn bet sizing to me can still be Kx+. I've seen fish do this with hands like KQ, as well as 62o. I don't think it changes his range too much for this reason, but we can still make two reasonable assumptions:
(a) He checks his no equity hands now
(b) He bets larger with his sets, his straights and his two pairs.
There is now a flush on the board, and even fish are looking to protect in this spot. So we can narrow his range down to the following:
Turn betting range: QQ-99,A8s,A6s,K2s+,T8s,97s+,86s,65s,A8o,A6o,K7o+,87o
We need 19% to call, and have 23% against this conservative range. He does still, in reality, have some random airballs that he bets again with, so we can add some extra +% equity to our hand.
River comes 4 to a straight. Fish often bet small here with their Kx+, but also sometimes still has 9x. His betting range here has us crushed:
River betting range: TT-99,K9s+,97s+,K9o+,87o (67).
Is raising here profitably? We can assume roughly that he will fold many Kx to 4x re-raise on the river, as long as we reputably have 9x in this spot. Can we? 99, 98s, K9, 97s, A9s, 96s would all be in my range at this point.
We risk 20 to win 21, so need to be successful ~>55%.
We estimate that he folds all Kx that are not K9/KT, bet doesn't fold his set/9x.
He calls 36/67 combos, and folds the rest, meaning that he calls 54% of his range.
This means the bluff is techinically not +EV, aslong as we assume that he calls some two pair and TT at river, and that we assume he doesn't bet KJ/KQ on the river. Knowing whether or not these are the right assumptions is difficult with fishy players, as is knowning whether or not he really only bets $5 with 9x.
Moral of the story: estimating ranges for fishes is long and boring, and gut feeling may play a larger role when playing a hand like this.