Bet Sizing & MDF

Every bet size sets the odds: the equity a caller needs, the bluffs that keep you balanced, and how much of a range survives to showdown.

What every bet size requires

BetCaller needsb/(1+2b)Bluff shareb/(1+2b)MDF1/(1+b)
Pot33.3%33.3%50.0%
3/4 pot30.0%30.0%57.1%
2/3 pot28.6%28.6%60.0%
1/2 pot25.0%25.0%66.7%
1/3 pot20.0%20.0%75.0%
1/4 pot16.7%16.7%80.0%
1/6 pot12.5%12.5%85.7%
  • Caller needs: equity required to call. The call puts b (the bet as a fraction of the pot) into a final pot of 1+2b.
  • Bluff share: the bluff fraction of a balanced, polarized river betting range. Equal to Caller needs by design: a bluff-catcher's equity is the bluff share, so a balanced range bluffs exactly at the caller's price.
  • MDF: minimum defense frequency. Defend less and any four cards can bluff you profitably.

The call-down ladder

Betting on n streets against an opponent defending at MDF leaves MDFn of the range that saw the flop at showdown.

Bet1 streetMDF2 streetsMDF²3 streetsMDF³
Pot50.0% 25.0% 12.5%
2/3 pot60.0% 36.0% 21.6%
1/2 pot66.7% 44.4% 29.6%
1/3 pot75.0% 56.3% 42.2%
1/4 pot80.0% 64.0% 51.2%

Potting three streets means the range that calls you down is ~12.5% of where it started. Your hand must beat that range, not the flop range.