$5nl, AKs up against a set/FH?

Villains stats: 34/4 over 167 hands.

By the turn I had narrowed his range down to either 44, 77, K4s or K7s. I can't help thinking this is way too narrow, but can't see what else he can have, so thought I'd get you guys to give your opinion.

Villains range:
Preflop - pretty wide, excluding QQ+ & AK as he called and didn't raise.
Flop - 44, 77-JJ, K7s-KQs, K4s, 56s. KJ-KQ
Turn & river - 44, 77, K4s or K7s

I only called boh turn and considered the river 'cos I figured I couldn't be that accurate & villain was a donk.

So your thoughts on villains range & what I should do on the river please!


PokerStars No-Limit Hold'em, $0.05 BB (7 handed) - Poker-Stars Converter Tool from FlopTurnRiver.com

CO ($2.02)
Button ($2.08)
SB ($1.73)
BB ($11.96)
UTG ($7.45)
Hero (MP1) ($5.82)
MP2 ($5.89)

Preflop: Hero is MP1 with ,
1 fold, Hero bets $0.20, 3 folds, SB calls $0.18, BB calls $0.15

Flop: ($0.60) , , (3 players)
SB checks, BB checks, Hero bets $0.50, 1 fold, BB calls $0.50

Turn: ($1.60) (2 players)
BB checks, Hero bets $1, BB raises to $2, Hero calls $1

River: ($5.60) (2 players)
BB bets $1.80, Hero?

Umm... 44/77? There's 1 combos of each left in the deck, making both of these holdings obviously extremely unlikely. This looks more like 4x, and possibly 7x, but given the minraise on the turn, I really doubt it. He doesn't play Kx like this unless, like you said, he has K4, or K7 (they don't necessarily have to be suited for him to have them). Just from me looking at his stats, the stakes you are playing, etc this guy is likely a loose/passive fish that doesn't show any sort of aggression postflop (such as raising the turn) without a strong ass hand. TPTK just isn't good here often enough to make the call imho.

It sucks that the board played out so shitty, but just muck it.

Edit: Just did the math real quick, you need to be good almost 20% of the time to make this call breakeven, let alone profitable. I don't think theres a range you can give me that I'll agree with that he plays like this that we can call this river.

Also, on the turn, I probably make the call about 7/10 times while playing, but its likely spew vs this kind of villain. Players like him just do not raise the turn (even a minraise) without some sort of nut hand.