Pot odds, solved.

The single most important number at the table — taught the way a coach would, with seven working calculators, a six-spot quiz, and the math behind every decision.

The whole thing, in one line
Required equity = cost to call pot + bet + cost to call
Memorize this fraction and the rest of the page shows you how to use it at the table. Every calculator below is a permutation of these three numbers.
Read me first

How this page works.

Three minutes here will save you twenty later. Every section answers one question and ships with a working tool — read top to bottom, or jump straight to the calculator.

Step 01
Learn the idea

One fraction. Required equity = cost / final pot. Everything below builds on this.

Step 02
Use the tools

Drop in real numbers. Calculators show what the answer looks like in practice.

Step 03
Test yourself

Six worked spots at the end. Get five right and you're ahead of the room.

A 60-second example

The whole idea, in one hand.

Click through the five steps below before touching a calculator. If this clicks, the rest of the page is just permutations.

  1. 01 The spot

    Villain bets $50 into a $100 pot. You hold a flush draw. Should you call?

  2. 02 The pot if you call

    If you call, the final pot will be $100 + $50 + $50 = $200. Your $50 is part of that pot.

  3. 03 Required equity

    You’re risking $50 to win $200. So you need to win at least $50 / $200 = 25% of the time.

  4. 04 Your equity

    A flush draw has 9 outs. Using ×2 on the turn → ~18%. That’s below the 25% required.

  5. 05 The decision

    Direct pot odds say fold. But if villain has a deep stack and will pay you off when you hit, implied odds may flip the call. That’s section 4.

The Intuition

Every call is a tiny bet.

When villain bets $50 into a $100 pot, you're not deciding "is my hand good?" — you're being offered a tiny side bet at 3-to-1 odds. Your hand only has to win 25% of the time to break even. Pot odds is the framework for evaluating that side bet against your hand's equity.

Core idea

If your equity exceeds the required equity, call. If it’s below, fold. Everything else on this page is detail.

TL;DR

Pot odds give you a number. Your hand’s equity gives you another number. Compare them. The decision falls out automatically.

The Calculator

Plug in real numbers.

Pre-set the most common bet sizes — 1/3 pot, 1/2 pot, 2/3 pot, pot, overbet — and see the required equity emerge live.

Calculator

The pot odds calculator

Foundational

Pot odds boil down to one ratio: cost to call vs. everything you stand to win. Drop in real numbers and watch the required equity emerge.

Pot
$100
Bet to call
$50
Required equity
25.0%

Required equity = call / (pot + bet + call) = 50 / (100 + 50 + 50) = 25.0%.

The Other Half

Counting outs.

Pot odds tell you the equity you need. Outs tell you the equity you have. Twelve common draws, the actual percentage, and the x2/x4 shortcut.

Calculator

Outs to equity, in one click

Core skill

An out is any unseen card that improves you to a likely winner. Pick a draw type — see the actual equity, then compare it to the famous x2 / x4 rule.

DrawOuts~Equity (turn)~Equity (flop)
Flush draw 4-to-a-flush 9 18% 36%
Open-ended straight 8 cards complete it 8 16% 32%
Gutshot inside straight 4 8% 16%
Double gutshot two inside straights 8 16% 32%
Flush + pair 9 flush + 5 trips/2pr 14 28% 56%
Flush + OESD the monster combo 15 30% 60%
Two overcards any pair makes top 6 12% 24%
Set → boat/quads fill up or quad 10 20% 40%
OESD + pair huge equity hand 13 26% 52%
Flush + gutshot very strong combo 12 24% 48%
Two pair → boat 4 cards make full 4 8% 16%
Pair → trips tight draw 2 4% 8%
The Future Money

Implied odds.

The reason set-mining works. The reason calling pre-flop with 22 to flop a set is profitable when stacks are 100bb deep. Direct pot odds say fold. Implied odds say print.

Calculator

Implied odds — the missing variable

Advanced

Direct pot odds only count the money already in. Implied odds count the money you’ll win on later streets when you hit. They’re the reason set-mining for $4 to win $400 is correct.

Required implied odds = (call − direct equity in pot) / equity %.
Worked example. You hold a flush draw (≈18% turn equity) facing a $50 bet into $100. Direct pot odds need 25% — you have 18%. Gap = 7%. To make the call profitable you need to win an extra ~$30 on later streets when you hit (rule of thumb: ≈ 1× the call for a one-card draw). If villain has a 200-bb stack and pays off, the call prints. If villain is 30bb deep or fit-or-fold, the implied odds aren’t there.

Defending

Minimum Defense Frequency.

Pot odds is the caller's tool. MDF is its mirror — how often the defender has to call to make villain's bluff break even. Skip this and live players will eat you alive.

Theory

Minimum Defense Frequency

Advanced

The flip side of pot odds. MDF tells the defender how often they have to call to make villain’s bluff break-even. Below MDF, villain prints money bluffing. Memorize this column.

Bet sizeDefend ≥ (MDF)Bluff success needed (α)
⅓ pot 75.2% 24.8%
½ pot 66.7% 33.3%
⅔ pot 60.2% 39.8%
Pot 50.0% 50.0%
1.5× 40.0% 60.0%

Half-pot is the magic number. Most players bluff with half-pot bets because the math is favorable for them. Defend ~67% of your range and you neutralize the bluff. Below 67%, you’re bleeding.

The Aggressor's Math

Bluff:value ratios.

When you bet for value, GTO requires you to bluff at a specific frequency. Bigger bets allow more bluffs; smaller bets demand fewer. This is why polarized = big and merged = small.

Theory

Bluff:value ratios on the river

Advanced

When you bet for value on the river, you also need to bluff at a specific frequency to make villain’s call break even. Bigger bets = more bluffs allowed.

Bet sizeBluff %Value %Value : Bluff
⅓ pot 19.9% 80.1% 4.03 : 1
½ pot 25.0% 75.0% 3.00 : 1
⅔ pot 28.4% 71.6% 2.52 : 1
Pot 33.3% 66.7% 2.00 : 1
1.5× pot 37.5% 62.5% 1.67 : 1
2× pot 40.0% 60.0% 1.50 : 1

Bigger bets justify more bluffs. When you overbet, you can have a 40/60 bluff:value split and still be balanced. When you bet small, you have to bluff almost never.

Reference

The numbers, on one page.

Every common bet size, the pot odds, the ratio, and what to do. Print this page. Tape it to your monitor for two weeks. Then throw it away.

Reference

The cheatsheet to print

Reference

Every common bet size and the equity you need to call. Tape this to your monitor. After two weeks you won't need it.

¼ pot
20%
4 : 1 odds

Probe / blocker bet. Defend almost everything.

⅓ pot
25%
3 : 1 odds

Standard small c-bet. Continue with most pairs and any draw.

½ pot
33%
2 : 1 odds

The most common live bet. Strong draws and middle pair+ continue.

⅔ pot
40%
1.5 : 1 odds

Aggressive size. Marginal hands fold, draws priced in.

Pot
50%
1 : 1 odds

Polarized. Trap-bet or bluff — call only with strong hands.

1.5× pot
60%
0.67 : 1 odds

Overbet. Villain rep is nuts or air. Bluff catchers fold.

2× pot
67%
0.5 : 1 odds

Massive overbet. Premium hands and sniff-bluff catchers only.

All-in (3× eff)
75%
0.33 : 1 odds

Need near-nuts. River jam = 'I have it or I don't'.

What Goes Wrong

The eight common leaks.

Knowing the math is half the battle. Here's the half nobody talks about — the ways smart players still bleed money even after they understand pot odds.

Leak 01
Counting outs that aren't really outs

If your straight card also makes a flush possible for villain, it's not a clean out. Discount tainted outs by 50%.

−2 bb / 100
Leak 02
Ignoring implied odds — both directions

Calling with thin draws when villain won't pay you off (no implied odds) AND folding draws when stacks are deep (free implied odds left on the table).

−4 bb / 100
Leak 03
Calling river bets without doing the math

River decisions are pure pot-odds problems. If you're not asking 'how often does villain need to be bluffing?' you're guessing.

−6 bb / 100
Leak 04
Defending below MDF vs. small bets

Folding too much vs. ⅓-pot c-bets is the most common live leak. The price is too good — defend wider.

−5 bb / 100
Leak 05
Bluffing too often vs. calling stations

GTO bluff frequencies assume villain is playing GTO. Vs. a station, the right bluff frequency is zero.

−3 bb / 100
Leak 06
Forgetting that 100bb math doesn't apply at 30bb

Implied odds vanish at short stacks. A flush draw that's a snap-call deep is a clear fold short.

−2 bb / 100
Leak 07
Calling with reverse implied odds

Top pair weak kicker on a wet board: you'll lose more on the streets you 'win' than you'll win on the streets you lose.

−4 bb / 100
Leak 08
Treating tournament chips like cash

ICM compresses pot odds — you need more equity than the math says, especially near the bubble.

−7 bb / 100
Test Yourself

Six spots. How many can you solve?

Real-table math, no calculator. If you get 5+ right, you're already ahead of 90% of live players.

  1. 1. Villain bets $50 into a $100 pot on the turn. You have a flush draw with one card to come.

    Pot: $100 Bet: $50 Your hand: Nut flush draw, 9 outs
    Answer Fold — you have ~19% equity and need 25%

    Pot odds: 50 / (100+50+50) = 25% needed. A bare flush draw with one card to come is only 9/46 ≈ 19.6%. Without implied odds, this is a fold.

  2. 2. Villain bets ⅔ pot on the river. What's the minimum equity you need to call?

    Bet size: ⅔ pot Street: River
    Answer 40%

    Using the call formula: 0.66 / (1 + 0.66 + 0.66) = 28.4%. The 40% is the MDF threshold, not the caller's equity. Memorize both numbers.

  3. 3. You have a gutshot straight draw on the flop. Villain bets pot. Stacks are 100bb deep.

    Outs: 4 Bet: Pot Effective stack: 100bb
    Answer Fold — gutshots have terrible direct AND implied odds vs. pot-sized bets

    A pot-sized bet requires 33% equity. A gutshot has 4 outs ≈ 16.5% by the river. Even with implied odds, folding gutshots vs. pot bets is correct >90% of the time.

  4. 4. Villain bets ½ pot. According to MDF, what's the minimum % of your range you must defend?

    Bet size: ½ pot
    Answer 67%

    MDF = pot / (pot + bet). For ½ pot bet: 1 / (1 + 0.5) = 67%. Below 67%, opponent can profitably bluff with any two cards.

  5. 5. On the river, you bet pot-sized for value. What's the maximum % of your betting range that can be bluffs (GTO)?

    Bet size: Pot Street: River
    Answer 33%

    GTO bluff frequency = bet/(pot + 2×bet) = 1/3 = 33%. Two value bets for every one bluff.

  6. 6. You have $80 in a $400 pot facing a $400 shove. Hero call?

    Pot: $400 To call: $400 Your stack remaining: $80 (going all-in)
    Answer You need 33% equity

    Pot odds = call / (pot + bet + call) = 400 / (400 + 400 + 400) = 33.3%. You only need to win 1 in 3 times.

Three numbers. That’s it.

Pot odds is one fraction with three inputs. Once you have it, every interactive on this page is just an extension of the same idea.

01

Required equity

Bet / (pot + bet + bet). The minimum % your hand has to win to call profitably.

02

Your equity

Outs x 2 (turn) or x 4 (flop). Or use the table. Or count it: 9 outs = ~36% by the river.

03

Compare

Yours bigger = call. Yours smaller = fold. Implied odds bend the threshold; everything else is texture.