Next steps · Poker strategy
Fold Equity in Poker: Bluffing Math and Bet Sizes
By Pokerscope · Updated · 4 min read
Fold equity is the value a bet or raise gains from making opponents fold. You can win the existing pot without reaching showdown, even when your hand would lose if called.
In this guide
How often does a bluff need to work?
You bet $50 into a $100 pot. For this first example, assume your hand always loses if the opponent continues. A fold wins you the $100 already in the middle; a call costs you your $50 bet.
If the opponent folds once for every two calls, you win $100 once and lose $50 twice. You break even. You need folds more than one third of the time to profit.
Break-even fold frequency = bet size ÷ (pot before betting + bet size)
A $50 bluff into $100 needs folds one third of the time: $50 ÷ $150 = 33.3%. When the opponent folds, your uncalled bet comes back to you; the gain is the $100 already in the middle.
Bluff break-even chart
| Bluff size | Folds needed |
|---|---|
| Quarter pot | 20.0% |
| Half pot | 33.3% |
| Three-quarter pot | 42.9% |
| Full pot | 50.0% |
| One-and-a-half pots | 60.0% |
| Twice the pot | 66.7% |
This chart concerns a bluff with no winning chances when called. It is different from the equity needed to call a bet: the risk and reward belong to different decisions.
A lower threshold does not automatically make a small bet better. Bet size can change which hands fold, and strong hands may raise. You need a response estimate for the size you actually choose.
How showdown equity helps a semi-bluff
A semi-bluff can win through folds and by making the best hand. Think of Q♥ J♥ on T♠ 9♥ 2♥ from the equity guide: it has about 56% equity against A♣ A♦, even though it has no pair. If it bets, it can win when the opponent folds and still has many ways to win when called.
That 56% applies to the specific aces matchup. Against an unknown hand, estimate equity against the full range that calls. Here is a separate all-in example using a 35% estimate against that range, with no rake:
EV = f × P + (1 − f) × [e × (P + 2B) − B]
Here f is fold frequency, e is your equity when called, P is the existing pot, and B is the bet matched by a call.
Suppose you shove $100 into $100, expect folds 30% of the time, and have 35% equity against calls. The called branch is worth 0.35 × $300 − $100 = +$5. Overall EV is 0.30 × $100 + 0.70 × $5 = +$33.50.
This does not establish that shoving is better than checking. It values this action under the supplied assumptions; another action could have higher EV.
Estimate the range that continues
An opponent’s calling range will usually differ from the range they held before facing the bet. Hands that fold cannot contribute to your equity in the called branch.
Practice hand vs range equity to separate those questions. First identify plausible calls, then estimate your showdown equity against that subset.
Do blockers guarantee a good bluff?
No. A blocker may remove strong calls, but it can also remove hands that would fold. Evaluate its effect on both parts of the range.
Does this formula cover future betting?
The semi-bluff example is all in. If stacks remain, later bets and folds create additional branches. Use the formula as an explicit model of the stated situation, not a universal answer for every flop bet.