Tough river spot 3-Bet pot SB vs BTN

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Tough river spot 3-Bet pot SB vs BTN

BN: $45.01
SB: $25.92 (Hero)
BB: $26.15
UTG: $38.43
HJ: $25.25
CO: $50.82
27/20 over 3k hands
BTN open 44%, call 3bet 40%, 4bet range 1%
wtsd 30%, won@sd 51%, wwsf 45%
Preflop ($0.35) (6 Players)
Hero was dealt J K
UTG folds, HJ folds, CO folds, BN raises to $0.60, Hero raises to $2, BB folds, BN calls $1.40
Flop ($4.35) K Q 9 (2 Players)
Hero checks, BN checks
Turn ($4.35) K Q 9 9 (2 Players)
Hero checks, BN bets $2.43, Hero calls $2.43
River ($9.21) K Q 9 9 4 (2 Players)
Hero checks, BN bets $6.52

upon reflection it look hard for him to have any air on the river.

i ruled out KQ because villain probably bets that on the flop along with any sets.
this leave JTs,9x and flushes for value and i think he checks back everything else.
i also block some of his straights and top pair hands.

some questions:
A. what flush draws would he bet on turn? he can only have AJs-ATs for combo draws.
would it be correct for him to bet all flush draws on turn like A5s, 87s?

B. what should be the worst pair we call on the river? if KJ is a fold then i will be folding too much of my range that checks flop and calls turn.

C. what should BTNs betting range on turn look like when he check back flop?
it only looks like 9x and JTs for value.




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