Optimal Bluff Frequency Calculator
Find the game-theory-optimal share of bluffs in your betting range for a given bet size and pot. Use it to balance your river betting range so opponents cannot exploit you.
Last updated: September 2026
Formula below · 1 source (Wikipedia) · Updated Sep 2026
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About this calculator
Game theory says a balanced river bet keeps your opponent indifferent between calling and folding. Your opponent calls a bet B to win a pot that will contain P + 2B, so they need B / (P + 2B) equity to call. If exactly that share of your betting range is bluffs, calling and folding earn the same and your opponent cannot exploit you. The formula is: Bluff share = B / (P + 2B) × 100. A half-pot bet calls for 25% bluffs (1 bluff for every 3 value hands), a pot-sized bet for 33.3% (1 bluff per 2 value hands) and a 2× pot overbet for 40%. To turn this into combinations, bluffs = valueCombos × B / (P + B): with 12 value combos and a pot-sized bet, bet 6 bluff combos. Bigger bets allow more bluffs because they offer worse odds. Against players who call too much, bluff less than this; against players who fold too much, bluff more. This is a river (last-street) result; on earlier streets your bluffs also have equity, so ranges can contain more of them.
How to use
You bet $75 into a $100 pot on the river. Bluff share = 75 / (100 + 2 × 75) × 100 = 75 / 250 × 100 = 30%. So 30% of the hands you bet this way should be bluffs: with 14 value combos, add 14 × 75 / 175 = 6 bluff combos (6 of 20 = 30%). For a $50 bet into $100 the share is 50 / 200 = 25%.
Frequently asked questions
How do I calculate the optimal bluff-to-value ratio based on my bet size?
The optimal bluff share comes from the odds your bet offers. If you bet half the pot, your opponent risks 0.5 to win 1.5 (3:1) and needs 25% equity to call, so your betting range should be 75% value and 25% bluffs. A pot-sized bet offers 2:1, so the opponent needs 33% equity and your range should be 67% value and 33% bluffs. In general, bluff share = betSize / (potSize + 2 × betSize). (The related figure betSize / (potSize + betSize) is how often a pure bluff must work to break even, not the bluff share.) Keeping this share makes you unexploitable because opponents cannot profit by always calling or always folding.
Why does a bigger bet allow more bluffs?
A bigger bet offers your opponent worse pot odds, so they need more equity to call and your range can hold more bluffs while staying balanced. A quarter-pot bet allows only 16.7% bluffs, a pot-sized bet 33.3% and a 2× pot overbet 40%. The share approaches but never reaches 50% as the bet grows. Position does not change the formula; it changes which hands you can bet profitably and how often you reach the river with a polarised range.
What happens if I bluff too often or too rarely in poker?
Bluffing too often makes you exploitable by opponents who will simply call you down with any decent holding, knowing your range is weighted toward bluffs. Over-bluffing turns your bluff bets into donations. Bluffing too rarely makes you easy to read — opponents will confidently fold to your bets knowing you always have it, and you leave significant value on the table. The optimal frequency keeps opponents indifferent, meaning they cannot gain an edge by always calling or always folding. Tracking your bluff-to-value ratio over time is key to maintaining a balanced, unexploitable strategy.