Definition
Break-even frequency is how often an action needs to succeed for it to be profitable. If your bluff needs to work 40% of the time and it works 45%, you're profiting.
Two Key Break-Even Formulas
For Bluffs: How Often Must They Fold?
Bluff Break-Even = Bet Size / (Pot + Bet Size)
For Calls: How Often Must I Win?
Call Break-Even = Call Size / (Pot + Call Size)
Bluff Break-Even Table
| Bet Size (% of Pot) | Need Folds |
|---|---|
| 25% | 20% |
| 33% | 25% |
| 50% | 33% |
| 66% | 40% |
| 75% | 43% |
| 100% | 50% |
| 150% | 60% |
| 200% | 67% |
Call Break-Even Table
| Facing Bet (% of Pot) | Need Win % |
|---|---|
| 25% | 17% |
| 33% | 20% |
| 50% | 25% |
| 66% | 29% |
| 75% | 30% |
| 100% | 33% |
| 150% | 38% |
| 200% | 40% |
Using Break-Even for Bluffing
Example
Pot: $100 Your bluff bet: $75
Break-even = 75 / (100 + 75) = 43%
You need villain to fold 43% of the time to profit.
Questions to ask:
- Does villain fold 43% here?
- What's villain's calling range?
- Is my bluff credible?
If villain folds 50%: ✅ Profitable bluff If villain folds 30%: ❌ Losing bluff
Using Break-Even for Calling
Example
Pot: $100 Villain bets: $66
Break-even = 66 / (100 + 66 + 66) = 28%
You need to win 28% of the time to profit.
Questions to ask:
- What hands does villain have?
- What portion of their range do I beat?
- Am I ahead of 28% of their range?
If you beat 40% of range: ✅ Profitable call If you beat 15% of range: ❌ Losing call
Practical Application
River Bluff Decision
Situation: You have a busted draw on the river.
| Your Bet Size | Need Folds | Villain's Range | Decision |
|---|---|---|---|
| 50% pot | 33% | 50% weak hands | ✅ Bluff |
| 100% pot | 50% | 30% weak hands | ❌ Check |
River Call Decision
Situation: Villain bets and you have a bluff-catcher.
| Their Bet Size | Need Win % | Their Bluffs | Decision |
|---|---|---|---|
| 66% pot | 29% | 35% bluffs | ✅ Call |
| 150% pot | 38% | 20% bluffs | ❌ Fold |
The Connection to GTO
Break-even frequencies are foundational to game theory:
- If villain bluffs more than break-even → You should call more
- If villain bluffs less than break-even → You should fold more
- If you bluff less than break-even → You're leaving money on the table
Key Takeaway
Break-even frequencies tell you when actions become profitable. Bluff when folds exceed break-even. Call when your win rate exceeds break-even. These simple calculations unlock optimal decision-making.