Pot Odds When You Raise: Effective Odds
Raising has a price too: what you risk versus what the pot can pay you, split across the opponent's fold and call branches. Learn to compute the effective odds of any raise size and what happens to your price when a re-raise comes back.
Assumptions: Examples use a 100bb-deep 6-max online cash game with no rake unless a different setup is stated.
Calling is a one-branch decision: you pay the price, you see what happens. Raising splits the future in two. Sometimes your opponent folds and you win the pot on the spot; sometimes they call (or worse, re-raise) and your chips go in against a continuing range. Each branch has its own arithmetic, and "what price is my raise getting?" turns out to mean two related questions — what do I risk, and what can each branch pay me? This lesson builds that accounting. It deliberately stops short of combining the branches into a single profitability number, because that requires estimating how often the opponent folds — fold equity — which belongs to the Expected Value module. Here we nail the price mechanics that any such estimate plugs into.
The two ledgers of a raise
When you raise, write down three numbers before anything else:
- Risk — the new money you're putting in. If you've already invested chips on this street (or posted a blind), your risk is the raise size minus what's already out there, because that money belongs to the pot now.
- Win when they fold — the pot as it stands, including the bet you're raising. This is the immediate prize.
- Win when they call — the final pot if they match your raise, minus your own contribution. Your risk competes for this bigger prize with whatever equity your hand has.
The pair (risk : win-if-fold) and the pair (risk : final-pot-if-called) are the effective odds of the raise. Two prices, one action.
Worked example: raising a c-bet with the nuts
HJ opens to $3, you flat 5♠4♠ in the CO, the blinds fold: $7.50 pot. The flop comes 6♥3♦2♣ and your two cards plus the 6, 3, and 2 make the nut straight. HJ continuation-bets $4. You raise to $14. Now run the three numbers.
Risk. You have zero invested on this street, so raising to $14 risks the full $14. (Contrast: if you had bet 4 and been raised to 14, calling would cost only 10 more. Money already across the line never counts twice.)
Win when HJ folds. The pot at the moment of your raise is $7.50 + HJ's $4 = $11.50. That's the immediate prize: you're laying $14 to pick up $11.50, a shade worse than even money. If this raise were a pure bluff with no equity when called, it would need HJ to fold more than 14/25.5 = 54.9% of the time to show an immediate profit — the odds tool computes exactly this break-even fold percentage from the bet ($14) and the pot it attacks ($11.50). Notice how the structure of a raise differs from a bet: bets attack just the pot, while raises attack the pot plus a bet, but they also tend to be larger in absolute terms, so the break-even fold number runs high.
Win when HJ calls. HJ adds $10 more, the final pot is 7.5 + 14 + 14 = $35.50, and your $14 represents 14/35.5 = 39.4% of it (tool: pot 21.5, call 14 → 39.4%, about 1.5-to-1). Read that as: if the raise always got called and the hand ended there, you'd need about 39% equity. Holding the nuts, you have closer to 100% right now — the call branch is pure profit and you'd happily see it every time. The mechanics don't care which way the example points; the same three numbers get computed whether your hand is 5♠4♠ for the nut straight or a gutshot bluffing.
Sizing changes the price on both branches
Suppose you'd raised to $10 instead of $14 in the same spot. Rerun the ledgers:
- Risk: $10.
- Fold branch: still wins $11.50 — the prize doesn't change with your sizing. As a pure bluff this raise breaks even at 10/21.5 = 46.5% folds (tool-confirmed), about eight points less folding required than the $14 raise needed.
- Call branch: final pot 7.5 + 10 + 10 = $27.50; your $10 is 10/27.5 = 36.4% of it (tool-confirmed), versus 39.4% for the bigger raise.
The smaller raise gets a better price on both branches: it needs fewer folds to bluff profitably and demands less equity when called. So why ever raise bigger? Because price isn't the only output — the bigger raise builds a bigger pot for your nut straight, denies better odds to HJ's draws, and threatens more of HJ's stack. Those forces live in the EV and bet-sizing modules. What you must internalize here is the direction of the trade: bigger raises always pay more when they work and cost more when they don't, and the price ledgers quantify exactly how much. A player who can produce "the $14 raise risks 14 to win 11.5; the $10 raise risks 10 to win the same 11.5" in five seconds is most of the way to evaluating any raise.
The third option's price: just calling
To complete the picture, run the ledger on the action you didn't take: flat-calling HJ's $4 c-bet. A call has one branch and one number — final pot 7.5 + 4 + 4 = $15.50, required equity 4/15.5 = 25.8% (tool: 2.9-to-1) — and with the nut straight you clear it absurdly. Set the three options side by side and you can see what each one purchases:
- Call $4: risk 4, requirement 25.8%, pot stays small, HJ keeps every hand in his range.
- Raise to $10: risk 10, needs 36.4% of the final pot when called, folds out some of HJ's range.
- Raise to $14: risk 14, needs 39.4% when called, folds out more and builds the biggest pot.
The cheapest option has the lowest bar and the smallest upside; each escalation buys a bigger potential pot at a steeper price. Pot odds can't tell you which purchase is best — that depends on your equity and HJ's tendencies — but they price the menu, and pricing the menu is the part players skip. The standard amateur raise decision is "I have a big hand, make it big"; the trained version is three risk-and-requirement lines like the ones above, generated before choosing.
One more risk-counting case, because it completes the bookkeeping rules: suppose you had bet this street — say $6 — and HJ raised to $18, and you're now considering a re-raise to $45. Your risk is $45 minus the $6 already committed: $39 of new money. The chips you bet earlier belong to the pot, exactly as in the calling lessons; they neither return to you nor count as fresh risk. Every raise price in poker reduces to this one habit of only counting new money out, and the pot's total as the prize.
Worked example: the price of a 3-bet
Preflop re-raises follow identical accounting, with the blind-money wrinkle from earlier lessons: chips you've posted belong to the pot.
- 1.Preflop: BTN raises to $2.50, SB 3-bets to $10.00
Analysis
SB's risk is $9.50 — the $10 total minus the $0.50 already posted. The pot being attacked is $4.00 (BTN's $2.50, SB's $0.50, BB's $1.00), so when BTN folds, SB nets $3.50. As a naked steal that requires 9.5/13 = 73.1% folds to break even, which is why 3-bet bluffs lean on equity when called: if BTN calls, the final pot is $21 and SB's $9.50 needs 9.5/21 = 45.2% — a bar a hand like AQo meets against most calling ranges.
BTN opens to $2.50, you hold A♥Q♠ in the small blind and 3-bet to $10. The ledgers:
Risk. You posted $0.50 before the hand; making it $10 total costs $9.50 of new money.
Fold branch. The pot you're attacking is BTN's $2.50 + your dead $0.50 + the BB's $1.00 = $4.00. When BTN (and the BB) fold, you net $3.50. Risking 9.5 to win 3.5 is a brutal-looking immediate price — as a pure bluff it needs 9.5/13 = 73.1% folds to break even (tool-confirmed). That number looks disqualifying until you remember the second branch exists: nobody 3-bets expecting to only win when everyone folds. The fold branch is one revenue stream of two.
Call branch. BTN calls $7.50 more. Final pot: $10 + $10 + $1 = $21. Your $9.50 of risk is 9.5/21 = 45.2% of the final pot (tool-confirmed). So on the hands where BTN continues, you need roughly 45% equity for that branch to carry its own weight in chips — and a hand like AQo against a button continuing range is generally in that neighborhood, which is precisely why big offsuit broadways make natural 3-bets: they collect the fold branch and hold their own on the call branch. (Quantifying "generally in that neighborhood" against actual ranges is equity-module work; the price side — 45.2% — is what this lesson produces.)
When the re-raise comes back
The third branch you accepted by raising: BTN 4-bets to $24. Now you're back to a pure calling decision, and everything from the earlier lessons applies — with your $10 already in the pot, not in your stack.
Count the decision-time pot: BTN's $24 + your $10 + the BB's $1 = $35. Your call is $14 more. Final pot $49, required equity 14/49 = 28.6%, about 2.5-to-1 (tool-confirmed). Two observations worth carrying away. First, the price of continuing is cheap — far cheaper than the 45% the call branch of your own 3-bet demanded — because your $10 now subsidizes the pot. Sunk chips buy you better prices on later decisions, which is exactly why facing a raise after you've invested feels so sticky. Second, this branch existed the moment you chose to 3-bet: part of pricing any raise honestly is knowing the re-raise price you might face next, before you act.
That second point deserves a habit attached to it. Before any raise, spend two seconds on the question "and if it comes back bigger?" — not to predict whether it will, but to know the price you'd face and roughly what you'd do. Players who 3-bet AQo with no plan for the 4-bet end up making the most expensive decisions in the hand on instinct and tilt. Players who noted "a standard 4-bet prices my call around 28-29%" before clicking have converted a future crisis into a future arithmetic problem. The ladder keeps going, too — your call of the 4-bet re-subsidizes the pot for any 5-bet decision — and at every rung, the same two rules carry you: only new money is risk, and everything in the middle is prize.
The boundary of this lesson
You can now produce, for any raise in any spot: the true risk, the fold-branch prize and its break-even fold percentage, the call-branch final pot and its required-equity share, and the price of calling a re-raise. What you cannot yet do — on purpose — is decide whether a given raise is profitable, because that requires weighting the branches by how often each happens, and the fold branch's frequency is an estimate about your opponent, not an arithmetic fact. That weighting is expected value, and it gets its own module. When you arrive there, every EV calculation will decompose into exactly the ledger entries you practiced here; this lesson is the part of raising math that is never an estimate.