No notes on villain.

Cryptologic $3/$6 Limit Hold'em - 5 players
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Pre Flop: Hero is BB with K 2
1 fold, CO calls, 2 folds, Hero checks
Open limp in CO doesn't look strong...

Flop: (2.5 SB) 7 3 6 (2 players)
Hero bets, CO calls
This flop seems to miss his range whatever it is, so I bet hoping he will fold.

Turn: (2.25 BB) 2 (2 players)
Hero bets, CO calls
2 is blank for him but improves my hand, so kinda value bet.

River: (4.25 BB) 8 (2 players)
Hero checks, CO bets, Hero calls
There I decided to check/call to get value from busted draws (FD, gutshots, etc.)

Standard?

Thank you in advance!

I'd c/f this flop. I'd be more likely to fire here with Kc2d or Ks4d.

It seems all right. I might give up on the turn if I didn't spike that 2, but given the drawish nature of the flop, "bluffing" again could be all right. (I put "bluffing" in quotes because all the 2 really pulled you ahead of is Ax and better kings -- I mean, at the point when you're betting the flop, there's a decent chance you have the best hand, although those chances go down somewhat once you're called.)

Anyway, once you decide to bet the turn and then you don't get raised, I think you probably should think of yourself as committed to showdown even though the 8d is not my first choice of river cards (it may be a better card than the 4c or 5c, though).

Well, okay, but Kc2d vs. Ks2d seems like a really marginal difference in such a small pot.