K9s on K♠ 8♥ 3♣ 2♦ 7♠ facing a bet — call or fold?

Q: K9s on K♠ 8♥ 3♣ 2♦ 7♠ facing a bet — call or fold?

Call. The button fired three streets, so their range is polarized: strong made hands (better kings, sets, overpairs) and a pile of busted bluffs (missed ace-highs and broadway draws). Your top pair beats every one of those bluffs, and folding would let them run you over — against a ¾-pot bet you only need to be good about a third of the time, and you are. Yes, some kings beat you, but fold every top pair to a big bet and you become exploitable. Call and catch the bluffs. The solver calls about 95% of the time.

The answer

Call

catch the bluffs

The math: Top pair on a board where nothing got there — you beat every busted draw and missed ace-high the button barreled as a bluff, and you're priced $30 to win $70. This is a bluff-catch.

Why

The button fired three streets, so their range is polarized: strong made hands (better kings, sets, overpairs) and a pile of busted bluffs (missed ace-highs and broadway draws). Your top pair beats every one of those bluffs, and folding would let them run you over — against a ¾-pot bet you only need to be good about a third of the time, and you are. Yes, some kings beat you, but fold every top pair to a big bet and you become exploitable. Call and catch the bluffs. The solver calls about 95% of the time.

The spot

Villain · BTN

bets $30

POT · $40

K♠

8♥

3♣

2♦

7♠

K♦

9♦

$1 / $2 · 100bb

Your seat: BB
Stakes and stacks: $1 / $2 · 100bb
Your hand: K♦ 9♦
Board: K♠ 8♥ 3♣ 2♦ 7♠
Pot: POT · $40
Action on you: BTN bets $30

Every option

Foldgive it up
Why not: Folding top pair to a polarized triple-barrel is far too tight — you beat every busted draw and missed ace-high the button bluffs with, and folding hands this good just lets them run you over.
Callcatch the bluffsCorrect

The idea behind it

Facing a river bet from a polarized range, a bluff-catcher only needs to beat the bluffs, not the value. Against a ¾-pot bet you defend roughly the top 60% of your range (MDF) — top pair clears that bar and calls.

Concept: Catching bluffs

See the glossary: Check-raise Read the methodology

Terms in this spot

Bluff Showdown

Play it instead of reading it

The trainer deals this hand with hints, grading and spaced repetition — and randomized variations of it once you have seen it.