River Bluff-to-Value Ratio
How many bluffs should you have on the river? The bluff-to-value ratio tells you, for each bet size, how many bluffs to bet for every value hand so your opponent can't profit by always calling or always folding. It's the same number as the equity a caller needs, and both are in the chart below.
River bluff-to-value ratio by bet size
| River bet (of pot) | Caller's required equity | Bluffs : value | Bluffs per 10 value hands |
|---|---|---|---|
| 25% | 16.7% | 1:5 | 2.0 |
| 33% (⅓) | 20% | 1:4 | 2.5 |
| 50% (½) | 25% | 1:3 | 3.3 |
| 67% (⅔) | 28.6% | 2:5 | 4.0 |
| 75% (¾) | 30% | 3:7 | 4.3 |
| 100% (pot) | 33.3% | 1:2 | 5.0 |
| 125% | 35.7% | 5:9 | 5.6 |
| 150% | 37.5% | 3:5 | 6.0 |
| 200% (2× pot) | 40% | 2:3 | 6.7 |
Assumes a polarized river range (value hands that win when called, bluffs that lose when called) facing a bluff-catcher. At the balanced ratio, bluffs make up exactly the caller's required equity share of your betting range.
Where the numbers come from
When you bet, your opponent is getting pot odds. He calls the bet to win the pot plus your bet, so the equity he needs is bet ÷ (pot + 2 × bet). A pot-sized bet means he calls 1 to win 3 and needs 33.3%.
His bluff-catcher only beats your bluffs. If bluffs make up exactly 33.3% of your betting range, his call breaks even and folding breaks even too, so he can't gain either way. That's the balanced point. Turn the fraction into a ratio and you get bluffs : value = bet : (pot + bet): 1:2 for a pot bet, 1:3 for half pot, 2:3 for 2× pot.
Bigger bets support more bluffs because they lay the caller a worse price. That's one reason polarized ranges (very strong hands and air) use big sizes, while merged ranges full of medium hands bet small.
Worked example
The river pot is $60 and you bet $60. Say you hold 10 value combos. The table says a 1:2 ratio, so you'd add 5 bluff combos for 15 betting combos in total.
- If he always calls: he wins $120 against your 5 bluffs (5 × $120 = $600) and loses $60 against your 10 value hands (10 × $60 = $600). Net zero.
- If he always folds: he loses nothing more. Also zero.
He's indifferent, and that's the point. Now look at it from your side: for a bluff to break even, he has to fold 50% of the time, which is the minimum defense frequency for a pot-sized bet (see the fold equity chart). If he folds more than half the time, every bluff makes money. If he calls more, every bluff loses and you should shift to value.
How to use it at the table
Count combos, not feelings. Before you fire the river, list your value hands and your bluffs. If you have 6 value combos and 12 bluffs at pot size, you're bluffing twice as much as the ratio allows. Check some of them down or give up.
Exploit beats balance. The ratio protects you against an opponent who plays perfectly. Most players don't. Against a calling station, cut bluffs far below the ratio and value bet thinner. Against a nit who over-folds, bluff above it.
As the caller, flip it. The required-equity column is your calling threshold. Facing a 75% pot river bet, you need to be good 30% of the time. If you think this player bluffs less than that, which is common in low-stakes games, fold your bluff-catchers.
Want to test a specific spot? The free bluff calculator runs the fold math for any pot and bet, with your read on the opponent.
Want the full system? Unleash the Madman on Kindle (free with KU). A short LAG playbook covering when to fire, when to stop, and the Tilt Trigger System.
See it on Amazon →Bluff-to-value ratio FAQ
What is the bluff-to-value ratio in poker?
It's how many bluffs you bet on the river for each value hand, at a given bet size, so that a bluff-catcher gains nothing by calling or folding. For a pot-sized bet the ratio is 1 bluff for every 2 value hands.
How do you calculate the right bluff-to-value ratio?
Bluffs : value = bet : (pot + bet). Equivalently, bluffs should make up bet ÷ (pot + 2 × bet) of your betting range, which is exactly the equity the caller needs.
Why do bigger bets allow more bluffs?
A bigger bet gives the caller worse pot odds, so he needs to be right more often to call. You can include more bluffs before calling becomes profitable for him: 1:3 at half pot, 1:2 at pot, 2:3 at 2× pot.
Does this ratio apply on the flop and turn?
Not directly. It's a river concept, where hands are final and your value hands are assumed to win when called. Earlier in the hand your 'bluffs' usually have equity, so you can bet more of them.
Should I always bluff at the balanced ratio?
No. The balanced ratio is a defense against a perfect opponent. If a player calls too much, bluff less and value bet more; if he folds too much, bluff more. Use the ratio as a starting point and adjust to the player.