Pot Odds Calculator

What are pot odds?

Pot odds are the ratio between the size of the pot and the cost of calling a bet. In plain English: the percentage of the final pot you have to put in to see the next card. If someone bets $50 into a $100 pot, you’re paying $50 to win a $150 pot — that’s 33%. To make that call profitable in the long run, your hand needs to win at least that often. Pot odds are the math side of every call you’ll ever face, and the calculator above does the work so you can focus on reads.

The reason you hear “bet / (pot + bet)” quoted in every poker book is that it converts the bet-to-pot ratio into a clean break-even equity number. Beat that number more often than not, and you make money by calling forever. Fall short, and you’re bleeding chips — even on the hands you win.

How to use it

Deal the cards, set the stakes, read the decision. The tool simulates 3,500 hands against random opponents for every change, so the equity, pot odds, and EV are real — not rule-of-four shortcuts.

Outs-to-equity reference chart

This chart is for when the flop or turn is already out and you’re deciding whether to chase a draw. Outs are the unseen cards that complete your hand — 9 for a flush draw, 8 for an open-ended straight, 4 for a gutshot, and so on. The two right columns tell you how often you’ll hit by the river depending on which street you’re on. Quick mental shortcut: multiply outs by 4 if you’re on the flop, by 2 if you’re on the turn — the exact values are in the table.

Compare the right column to your pot odds. If your equity beats the price, the math says call. If it doesn’t, you need implied odds — future bets you’ll win when you hit — to justify staying in. On the river, outs don’t apply anymore: you either have the winning hand or you don’t, and the decision is about whether you can beat villain’s range at showdown.

A worked example

You’re on the button with 9♥8♥. The flop comes K♥2♥7♣. Your opponent bets $30 into a $60 pot. Should you call?

1. Count the outs. You have a flush draw — nine hearts left in the deck give you the nut flush. That’s 9 outs.
2. Convert to equity. 9 outs with two cards to come ≈ 35% (from the chart above, or outs × 4 = 36%).
3. Calculate pot odds. $30 / ($60 + $30) = 33%. You need to win 33% of the time to break even.
4. Compare. 35% equity > 33% pot odds, so the call is mathematically profitable.
5. Add implied odds. If your opponent will pay off a river bet when a third heart arrives, your real equity is even higher — a clear call becomes a very clear call.

Drop those exact cards into the calculator above and you’ll see a Monte Carlo simulation return very close to 35% equity — the tool confirms the manual math and layers on a one-line recommendation tuned to position and stack depth.

How the math is done

Most pot-odds calculators ask you to count outs, then do a rough outs × 4 estimate. That breaks down fast: it overcounts when you have many outs, ignores whether your outs are clean, and has no idea if your top pair is dominated. This tool runs a real hand simulation instead. Here’s exactly what happens under the hood, so you know when to trust it and when to override it.

Equity — simulated, not estimated

Every time you change a card, a position, or a bet size, the tool runs 3,500 Monte Carlo trials. Each trial deals random hole cards to every opponent still in the hand, fills in any missing board cards, scores the final five-card hands using a full evaluator (straight flushes, quads, full houses, all the way down), and records who wins. The percentages you see — Win, Tie, Lose, and the combined Equity number — are the share of those 3,500 simulated hands where you come out ahead.

Because the sim looks at actual cards, it’s board-aware in ways a rule-of-thumb isn’t. A flush draw with two overcards has more equity than a flush draw with two undercards. Top pair on a monotone board has less equity than top pair on a rainbow one. A gutshot that makes the nut straight has more implied equity than one that doesn’t. All of that is baked into the number automatically — you don’t have to adjust.

Pot odds — the equity you need to break even

Pot odds is bet / (pot + bet). If the pot is $100 and your opponent bets $50, you’re calling $50 to win $150, so you need 25% equity to break even long-run. That’s the minimum equity for a call to be profitable in isolation — if your simulated equity is higher than your pot odds, you have a mathematical call. If it’s lower, you don’t, unless implied odds or bluffs in their range change the picture.

Expected value — what one call earns, on average

EV is equity × (pot + bet) − (1 − equity) × bet. That’s the average dollar result of a single call, run out over the full hand. Positive EV means you make money repeating this spot forever; negative EV means you bleed chips. A single call can lose and still be +EV, just like a single call can win and still be −EV — the math is about the long run, not this one hand.

SPR — how committed you are

Stack-to-pot ratio is stack / pot. Low SPRs (under 4) mean you’re one bet from committing everything, so even marginal edges are often worth getting in. High SPRs (over 10) mean there’s still a lot of poker to play, so you can fold with less regret and avoid putting a tournament life on a single thin spot. The advisor uses SPR to decide whether a strong hand should just-raise or jam.

Preflop — Chen formula, not equity alone

Preflop, the tool doesn’t decide from equity alone. Against many opponents, even AA simulates at only ~31% equity because nine random hands collide with each other — a number that tempts bad folds. Instead, the preflop decision is driven by Bill Chen’s hand-strength formula: A=10, K=8, Q=7, J=6, T=5 (etc.) down the ladder, doubled for pairs, plus +2 for suited and a gap penalty for disconnected cards. AA scores 20, KK 16, AKs 12, 72o −2. That score maps to a position-aware decision: early position needs 10+ to open, middle needs 8+, late position opens as low as 5 (any pair or suited broadway). Facing a raise, 14+ always 3-bets, 10+ 3-bets from late position or calls elsewhere, and small pairs down to 55 call if the price is right.

Postflop — equity vs. a range, not vs. random

Postflop, the simulated equity is measured against a random opponent — but if your opponent has already bet, their range isn’t random. They usually have at least a pair, a draw, or a plan. So when you’re facing a bet postflop, the tool discounts the raw equity by about 18 percentage points before making the call/fold decision. The number you see on screen is still the honest simulation result; the recommendation accounts for the fact that a betting villain is stronger than a random one. That’s why the advisor folds bottom pair to a pot-sized bet even when the raw equity reads 60% — against a hand that actually bet, it’s closer to 40%, and 40% doesn’t beat 50% pot odds.

The recommendation layer

Once equity, pot odds, EV, and SPR are known, the advisor runs the scenario through a decision tree. Strong hands with big equity edges raise for value. Hands that comfortably beat the pot odds (margin ≥ 15%) are clear calls. Marginal hands (margin near zero) get a warn-tone call or fold depending on position and street. Weak hands with no implied odds fold. The one-line reason tells you which factor drove the decision — equity, price, position, or stack depth — so you can sanity-check it against live reads the tool can’t see.