Part: Part Six - Betting After the Flop

Thin value on the river

River
Heads-upPot 4,000 (20 BB)J8532BTNAJ 25,000 (125 BB)YOUtop pair, good kickerBB 25,000 (125 BB)Big blindchecksD

You raised pre-flop with A♣J♣, c-bet the J♥ 8♦ 5♣ flop and bet the 3♠ turn, both called. River 2♥ bricks and the big blind checks to you a final time.

Top pair, good kicker, on a dry run-out; he's check-called twice and checks the river. Best?

WhyBet a thin value bet. A player who check-calls twice and checks the river usually has a worse jack, a middling pair, or a busted draw that occasionally pays - a modest bet gets called by enough of those to profit. Checking back leaves value on the table; size it small enough to be called.
What happensYou bet 2,000; he calls with J-9 and you win.  Thin value collected.
On a brick river against a passive check-caller, you made a small value bet with top pair good kicker rather than checking - thin value is found by betting the hands most players give up on.

Bet thin for value on the river against check-callers - a small bet that worse pairs can call earns chips that checking leaves behind.