Zeebo theorem

A poker saying: no player can fold a full house, whatever the size of the bet.

Last updated October 16, 2026

What it means: The Zeebo theorem says no player is capable of folding a full house on any betting round, regardless of the size of the bet. It is credited to the online pro known as captZEEbo, who posted it in 2006, and it spread through poker forums from there.
How it is calculated: It describes your opponents. Most players who make a full house call any bet, so bluffing them fails and a better hand gets paid. Strong players do sometimes fold one when the board makes a bigger full house likely, so treat it as a rule of thumb.
Worked example: Your opponent holds 8♥ 8♣ on 8♠ K♦ K♣ 4♥ 2♠: eights full of kings. You missed with Q♠ J♠. A river bluff of 60bb into a 40bb pot gets called and loses 60bb. Holding K♠ 8♦ instead, kings full, the same 60bb bet gets paid.
Why it matters: A full house is the fourth-best hand in poker, and few players let one go. Bluffing into a likely full house throws chips away, while a hand that beats one can bet big and expect a call.