Pot Odds by Bet Size: 33% to Overbet
The six required-equity numbers attached to standard bet sizings — 20%, 25%, 28.6%, 30%, 33%, 40% — anchored to real hands so they become recall, not calculation, plus the formula for any sizing you haven't memorized.
Assumptions: Examples use a 100bb-deep 6-max online cash game with no rake unless a different setup is stated.
You will never have time to derive required equity at the table, and the good news is you'll almost never need to. Online bet sizings cluster around a handful of pot fractions — a third, half, two-thirds, three-quarters, full pot, and the occasional overbet — and each fraction maps to one fixed required-equity number that never changes. Memorize six numbers and you've pre-solved the price side of the overwhelming majority of calls you'll ever face.
The reference table
Every entry below was computed with the odds tool, not recalled. The "bet into pot" column shows a concrete instance; the percentage is identical for any pot size at that fraction.
| Bet sizing | Example | Price (ratio) | Required equity |
|---|---|---|---|
| 33% pot | 2bb into 6bb | 4.0-to-1 | 20% |
| 50% pot | 3bb into 6bb | 3.0-to-1 | 25% |
| 66% pot | 4bb into 6bb | 2.5-to-1 | 28.6% |
| 75% pot | 4.5bb into 6bb | 2.3-to-1 | 30% |
| 100% pot | 6bb into 6bb | 2.0-to-1 | 33.3% |
Each row is the same machine from the last lesson running on different inputs. Take the 33% row: the bet is 2, the final pot is 6 + 2 + 2 = 10, and 2/10 = 20%. The 2x overbet row: the bet is 12, the final pot is 6 + 12 + 12 = 30, and 12/30 = 40%. If any row ever feels like trivia rather than arithmetic, rebuild it from the count — it takes ten seconds and re-cements the whole table.
One formula generates every row, if you prefer the compact version. Write the bet as a fraction f of the pot. Then:
Required equity = f ÷ (1 + 2f)
Plug in f = ½: 0.5/2 = 25%. Plug in f = 2: 2/5 = 40%. This is the tool you'll reach for in the rare spot where the sizing matches nothing you've memorized.
Why the requirement always undercuts the sizing
Glance down the table and notice a relationship that surprises everyone the first time: the required equity is always much smaller than the bet fraction. Facing a half-pot bet you don't need to win half the time — you need a quarter. Facing a full-pot bet you need a third. Even the 2x overbet, where someone wagers twice the prize at you, demands only 40%.
The reason is the subsidy baked into every call. You're never buying the pot alone; you're buying the pot plus the bettor's own money, and the bettor's contribution grows in lockstep with the price they're charging you. Bet bigger and yes, your call costs more — but the prize swells by the same amount. In formula terms, the bet B appears in the numerator once and in the denominator twice, so it can never catch up to half. Every chip your opponent uses to pressure you is a chip you win back when you're right.
Internalizing this kills a specific species of fold: the "I can't call that, it's a huge bet" fold, made by players whose required-equity intuition tracks the bet fraction instead of the table. Huge bets quote bad prices, not impossible ones. The table is the antidote — six places where intuition says 33, 50, 66, 75, 100, 200 and arithmetic says 20, 25, 28.6, 30, 33, 40.
The same six rows are worth owning in ratio form too, because some spots think better in ratios (draws, as you'll see in the equity module) and some think better in percentages (river bluff-catching). Reading down the price column: a third pot offers 4-to-1, half pot 3-to-1, two-thirds 2.5-to-1, three-quarters 2.3-to-1, full pot 2-to-1, and a 2x overbet 1.5-to-1. Ratio and percentage are the same fact in two costumes — pick whichever costume the decision wears.
33% pot: the 20% line
Small bets are everywhere in the modern game — solvers love range-betting a third pot on favorable flops — so the 20% number may be the one you use most.
Confirm the count: pot $6.00, bet $2.00, final pot $10.00, requirement 2/10 = 20% (tool: 4.0-to-1). Now absorb the strategic flavor of the number. Needing to win only one time in five is a very low bar. Middling pairs, gutshots with overcard help, open-enders like this 7♦6♦ (any 4 or 9 makes a straight), even some ace-highs — almost everything with a pulse clears 20% against the wide range that bets a third of the pot on K-8-5. That's the trade-off built into small bets: they risk little, so they're cheap to fight back against. When you see a third-pot sizing, your default mental caption should be "the price says I continue with almost everything."
50% pot: the 25% line you already own
Half pot is the most common single sizing in online poker, and you derived its number twice in the previous lesson: 3-to-1, 25% (tool-confirmed: 3 into 6 gives a final pot of 12, and 3/12 = 25%). One call in four has to win. No new example needed — every half-pot spot from the earlier lessons is this row. What's worth adding is the position of 25% in the table: it sits a full five points above the 33%-pot line. The jump from a third pot to half pot is the steepest single step between common sizings, which is one reason small bets and half-pot bets play so differently.
Verify the anchor's scale-independence once at a bigger pot, because trusting it is what makes the table usable: an 8bb bet into a 16bb turn pot makes the final pot 32, and 8/32 = 25% on the nose (tool-confirmed). Half pot is 25% at 6bb, at 16bb, at 300bb. Once you've genuinely accepted that, the pot size drops out of your thinking entirely and only the fraction remains — which is the whole compression trick that makes six numbers cover the game.
66% and 75% pot: the high-20s
Two-thirds and three-quarters are close cousins — 28.6% and 30% — and many players just file both as "about 30." The exact counts: 4 into 6 gives 4/14 = 28.6% (2.5-to-1), and 4.5 into 6 gives 4.5/15 = exactly 30% (2.3-to-1), both verified with the tool.
Run the count: turn pot $12.00 (the $7.00 preflop pot plus the called $2.50 flop bet from each side), bet $9.00, final pot $30.00, requirement 9/30 = 30% even (tool-confirmed). Notice how different this feels from the 20% line. Needing 30% knocks out bare gutshots, naked overcards, and weak pairs against strong ranges — the speculative middle of your range starts hitting the muck. Three-quarter-pot bets exist precisely to apply that pressure: the bettor pays more when wrong but charges your marginal hands a price many of them can't pay.
Full pot: 33%
A pot-sized bet asks you to win one time in three: final pot 6 + 6 + 6 = 18, requirement 6/18 = 33.3% (2-to-1, tool-confirmed). At this price, continuing is a genuine claim about your hand. Strong draws still qualify on the turn-card math you'll meet later, decent pairs against bluff-heavy ranges qualify, but the "almost everything continues" world of the 33%-pot line is gone. A useful framing: against a pot bet, roughly speaking, you continue with the top third of the range you arrived with — anything more and you're paying 33% with hands that win less often than that.
The 2x overbet: 40%
Count it: pot $6.00, bet $12.00, final pot $30.00, requirement 12/30 = 40% (1.5-to-1, tool-confirmed). Two-fifths of the time. Almost no draw delivers that on one street, and a medium-strength made hand only gets there if the bettor is overbetting with enough bluffs. The 40% line is why overbets feel so coercive: they reclassify your whole range into "can beat value bets sometimes" and "everything else," and everything else folds.
Worth flagging: even bigger overbets exist, and the formula handles them — but with diminishing effect. A 3x-pot bet needs f/(1+2f) = 3/7 = 43%, barely above the 2x number. Required equity can never reach 50% no matter the sizing, because even calling an all-in for the pot's many multiples still wins you the opponent's matching money. The ceiling matters: no bet, however huge, can demand you be a favorite.
The pattern: sizing climbs fast, the requirement climbs slowly
Lay the numbers in a line — 20, 25, 28.6, 30, 33.3, 40 — and look at the gaps. Doubling the bet from half pot to full pot moves the requirement only from 25% to 33%. Doubling again to a 2x overbet adds just seven more points. The bet size triples across that span; your required equity rises by fifteen points total.
That compression is the strategic heart of this lesson, and it cuts both ways:
- As the caller: big bets are never as scary as they look. A pot-sized barrel demands 33%, not 50%. If you fold everything but near-nutted hands to large sizings, you are massively overfolding relative to the price, and observant opponents will print money bluffing you. The math gives you permission — instruction, really — to continue with a substantial chunk of range even against heavy pressure.
- As the bettor: you can't price opponents out of the pot as thoroughly as intuition suggests. Even your largest sizings leave correct continues all over their range. What big bets do accomplish is charging the maximum when called and shifting which hands can pay — which is a topic for the betting-strategy modules.
The slow climb also explains a beginner leak in reverse: treating a third-pot bet as "basically free." It isn't free — 20% is a real bar and pure air should still fold — but the asymmetry stands: small bets change your required equity barely at all, while feeling like half the pressure of a real bet.
Seeing bets as prices, automatically
There's a perceptual shift hiding inside this table, and it's worth naming because it changes how the game looks. A player without the anchors sees "$9 into $12" and has to do something to know what it means. A player with the anchors sees "75% pot" and the 30 arrives stapled to it, the way a chess player sees a knight fork without computing knight moves. The bet and its price become one object.
Online interfaces actively help you here: most clients' bet buttons are literally labeled with pot fractions — 33%, 50%, 75%, pot — and most opponents click those presets rather than typing custom amounts. That means the sizings you face all day are exactly the anchor sizings, and the preset an opponent favors tells you instantly what they're charging your whole range to continue. When a player uses the small preset, they're taxing your continues at 20% — almost nothing folds correctly, so expect multiway flops and sticky opponents downstream. When they reach for the pot button, they're demanding 33% from every hand you hold, and your folding-versus-continuing line has to move accordingly.
This also sharpens how you experience your own sizing decisions. Every time you pick a preset, you are choosing the price of admission for your opponent's range: 20, 25, 28.6, 30, 33, or 40. Which price serves which goal is bet-sizing-strategy material for later modules — but from today, you should never click a bet button without knowing the number you just quoted.
Off-menu sizings
When a sizing falls between anchors, you have two options. The fast one — interpolation — gets a full treatment in the estimation lesson at the end of this module. The exact one is the formula, and it's worth one rep here. Facing a 60% pot bet, say 6bb into 10bb: f = 0.6, so required equity = 0.6/2.2 = 27.3% (tool-confirmed: final pot 22, and 6/22 = 27.3%). Sensible — 60% sits between half pot and two-thirds, and 27.3% sits between 25% and 28.6%. A 40% pot bet, 4bb into 10bb? Final pot 18, requirement 4/18 = 22.2% (tool-confirmed) — again parked neatly between its neighbors at 20% and 25%. The table isn't six isolated facts; it's six samples of one smooth curve, and any new sizing just lands on the curve where you'd expect.
Drill the six anchors until each one surfaces in under a second: 33% pot → 20. Half → 25. Two-thirds → 28.6. Three-quarters → 30. Pot → 33. Double pot → 40. Those six numbers, plus the counting method behind them, are the complete price catalog for no-limit hold'em as it's actually played.