Combinatorics on a turn semibluff spot

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Posted by posted in Mid Stakes

Combinatorics on a turn semibluff spot

SB: $625.30
BB: $394
UTG: $284.60
HJ: $400
CO: $1469.81
BN: $519.14 (Hero)
Preflop ($6.00) (6 Players)
Hero was dealt 4 5 7 7
UTG folds, HJ raises to $12, CO folds, Hero calls $12, SB folds, BB calls $8
Flop ($38.00) 3 2 9 (3 Players)
BB checks, HJ bets $28, Hero calls $28, BB folds
Turn ($94.00) 3 2 9 K (2 Players)
HJ bets $78, Hero raises to $325.20, HJ folds
Final Pot
Hero wins $247.20
I semibluffed turn and Villain folded. Not so interesting. However, I am trying to estimate my exact FE as closely as possible and maybe some of you math guys have some feedback.

Villain opens 19% from HJ.
SPR on the turn is: 3.8
Villain bets 80% into the pot.

I assigned this stack off range to Villain: (KK,99,K9,KQJT:ss,AA:ss):19% for a total of 6676 combos.
I also know that he on average double barrels 39% of the time and out of these 39% he bet folds the turn 55%. Whether I should adjust that number up or down on this kind of board I am not sure (Ks is an obv barreling card).

Anyway, if he double barrels 39% of a 19% opening range (39k combos given the board) his range is now reduced to about 15k combos. Of these he is stacking off with 6676 (assuming he never XR's) giving me a FE of (15000-6676)/15000 = 55%. Which is actually what he is folding on average :)

Against his stack off range I have 28% EQ so I need 40% FE given that he bets 80% into the pot. And I should have about 55%. So my profit should be 15% of $172 since 40% was breakeven, right?

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