$1.5 6max K8s from SB

I would play the hand the same way against an unknown. The only thing is that you could bet the river a little bit more for thin value, but I don’t think he will raise with worse there.

Cheers,
SDK1987

Well done

Not the best hand or board to bet 3 streets for value, super dry with absolutely no draws out there.
Therefore I would check turn I for both pot control and delay/time my value moment on the river if villain checks behind ott.

Not the best (nor easiest) spot to be in imo with our TP middle kicker. Easy fold to the river raise btw.

I think it depends also a lot of the player we are dealing with. Against a loose passive player, you maybe even get 3 streets of value, but it’s close for sure.

Good river fold as played. However I don't see what hands you could possibly get 3 streets of value from. When he calls the flop, I would assume he has something, since cbets on KXX flops tend to make trash hands fold. Of course he could always be a giant fish who happily calls down every street, but I would want to see some evidence for that before I act upon it.

I did a little experiment in Equilab for my personal amusement. If we assume BB would check the worst 70 % of his hands preflop (since his pfr stat is 30 %), and only call the flop with a pair or better, when the 4 hits the turn, you only have about 50% equity against his range. In this case, there is no thin value to be had. Take this with a big grain of salt, but it's just my thought process.

Board: 4♦K♥9♠ 4♣
       Equity     Win     Tie
SB     48.96%  41.07%   7.90% { Kd8d }
BB     51.04%  43.14%   7.90% { 33-22, 4h4s, 4h4c, 4s4c, 9d7d, 9h7h, 9c7c, 9d6d, 9h6h, 9c6c, 9d5d, 9h5h, 9c5c, Ks4s, Kc4c, Qh4h, Qs4s, Qc4c, Jh4h, Js4s, Jc4c, Th4h, Ts4s, Tc4c, 9h4h, 9c4c, 8h4h, 8s4s, 8c4c, 7h4h, 7s4s, 7c4c, 6h4h, 6s4s, 6c4c, 5h4h, 5s4s, 5c4c, Ks3s, Kc3c, 9d3d, 9h3h, 9c3c, 4h3h, 4s3s, 4c3c, Ks2s, Kc2c, 9d2d, 9h2h, 9c2c, 4h2h, 4s2s, 4c2c, Ad4h, Ad4s, Ad4c, Ah4s, Ah4c, As4h, As4c, Ac4h, Ac4s, Ks8h, Ks8c, Kc8h, Kc8s, Ks7d, Ks7h, Ks7c, Kc7d, Kc7h, Kc7s, Ks6d, Ks6h, Ks6c, Kc6d, Kc6h, Kc6s, Ks5d, Ks5h, Ks5c, Kc5d, Kc5h, Kc5s, Ks4h, Ks4c, Kc4h, Kc4s, Ks3d, Ks3h, Ks3c, Kc3d, Kc3h, Kc3s, Ks2d, Ks2h, Ks2c, Kc2d, Kc2h, Kc2s, Qd4h, Qd4s, Qd4c, Qh4s, Qh4c, Qs4h, Qs4c, Qc4h, Qc4s, Jd4h, Jd4s, Jd4c, Jh4s, Jh4c, Js4h, Js4c, Jc4h, Jc4s, Td4h, Td4s, Td4c, Th4s, Th4c, Ts4h, Ts4c, Tc4h, Tc4s, 9d8h, 9d8s, 9d8c, 9h8s, 9h8c, 9c8h, 9c8s, 9d7h, 9d7s, 9d7c, 9h7d, 9h7s, 9h7c, 9c7d, 9c7h, 9c7s, 9d6h, 9d6s, 9d6c, 9h6d, 9h6s, 9h6c, 9c6d, 9c6h, 9c6s, 9d5h, 9d5s, 9d5c, 9h5d, 9h5s, 9h5c, 9c5d, 9c5h, 9c5s, 9d4h, 9d4s, 9d4c, 9h4s, 9h4c, 9c4h, 9c4s, 9d3h, 9d3s, 9d3c, 9h3d, 9h3s, 9h3c, 9c3d, 9c3h, 9c3s, 9d2h, 9d2s, 9d2c, 9h2d, 9h2s, 9h2c, 9c2d, 9c2h, 9c2s, 8h4s, 8h4c, 8s4h, 8s4c, 8c4h, 8c4s, 7d4h, 7d4s, 7d4c, 7h4s, 7h4c, 7s4h, 7s4c, 7c4h, 7c4s, 6d4h, 6d4s, 6d4c, 6h4s, 6h4c, 6s4h, 6s4c, 6c4h, 6c4s, 5d4h, 5d4s, 5d4c, 5h4s, 5h4c, 5s4h, 5s4c, 5c4h, 5c4s, 4h3d, 4h3s, 4h3c, 4s3d, 4s3h, 4s3c, 4c3d, 4c3h, 4c3s, 4h2d, 4h2s, 4h2c, 4s2d, 4s2h, 4s2c, 4c2d, 4c2h, 4c2s }

Maybe just check the turn with the intention of calling a bet, to keep some bluffs in his range. If he checks behind, he very rarely has a 4 and we can bet for value and hope to get called by 9's and PP's.

It is helpfull your thought process, I also think it depents on the opponent.