How to calculate pot odds in poker comes down to one comparison: the price a call costs against the size of the pot it can win. Work out the share of the final pot you must supply, then check whether your chance of winning is bigger than that share. If it is, calling is profitable in the long run. If it is not, folding is usually better.
What pot odds are
Pot odds are the price the pot offers against the cost of a call. The more chips already in the middle relative to your call, the cheaper the price, and the weaker the hand or draw you can profitably continue with.
The price is only half of the decision. Your equity, the share of the pot your hand wins on average including ties, is the other half. The folding guide gives a first example; this guide goes further.
Two ways to express pot odds
The first is a ratio. Add the bet to the pot, then compare that total with the amount you must call. The second is a percentage, the break-even equity: call / (pot + bet + call), where the pot is the size before the bet was made.
In a worked example the pot is 300 chips and your opponent bets 100. The pot is now 400 and you must call 100.
- Ratio: 400 to 100, which is 4 to 1.
- Break-even equity: 100 / (300 + 100 + 100) = 100 / 500 = 20%.
If you call, the final pot is 500 and you supply 100 of it. You need to win at least one time in five, on average, for the call to show no loss. With 25% equity the call is worth 0.25 × 500 − 100 = +25 chips on average, assuming no further betting. With 15% equity it is worth −25.
Converting between ratio and percentage
The two forms are the same fact. Break-even equity is 1 / (ratio + 1), so 4 to 1 gives 1 / 5 = 20%. Going back, the ratio is (1 − percentage) / percentage, so 25% gives 0.75 / 0.25 = 3 to 1. The table shows common bet sizes as a fraction of the pot before the bet.
| Bet size | Example (pot, bet) | Pot odds ratio | Break-even equity |
|---|---|---|---|
| Quarter pot | 100, 25 | 5 to 1 | 16.7% |
| Third pot | 300, 100 | 4 to 1 | 20.0% |
| Half pot | 200, 100 | 3 to 1 | 25.0% |
| Two-thirds pot | 300, 200 | 2.5 to 1 | 28.6% |
| Pot | 100, 100 | 2 to 1 | 33.3% |
| Twice pot | 100, 200 | 1.5 to 1 | 40.0% |
Notice that even a pot-sized bet only asks for one third of the final pot. Bigger bets ask for more equity, but the requirement rises more slowly than beginners expect.
Estimating equity from outs
An out is a card that should improve your hand to the best one. The rule of 2 and 4 says: with two cards to come (flop to river), equity is roughly outs × 4. With one card to come (turn to river), it is roughly outs × 2.
| Draw | Outs | On the flop (outs × 4) | On the turn (outs × 2) |
|---|---|---|---|
| Flush draw | 9 | about 36% | about 18% |
| Open-ended straight draw | 8 | about 32% | about 16% |
| Gutshot straight draw | 4 | about 16% | about 8% |
| Two overcards | 6 | about 24% | about 12% |
The rule overstates equity when you have many outs. Fifteen outs on the flop gives 60% by the rule but about 54% exactly. Overcards are also weaker than the figure suggests, because pairing one may not make the best hand. Treat the result as a guide, not a measurement.
Comparing equity with break-even
Put the two numbers side by side. Facing the 100 bet into 300 on the flop, a flush draw has about 36% equity through the river against a 20% requirement. That comparison assumes you will see both remaining cards without paying anything further, which is true when the call closes the action, for example against an all-in. If betting remains on the turn and river, the bare comparison does not establish that calling is profitable: you may face further bets before you see the last card, and you will not always realise the full 36%. A gutshot has about 16% on the same assumption, which falls short of 20%, so the bare price does not justify a call even before future bets are considered. On the turn, with one card to come and no further betting after the call, the same gutshot has about 8%, and the gap widens.
The comparison is only as good as its assumptions. Against a bigger bet, say twice the pot, the flush draw's 36% is still below the 40% needed, again on the assumption that the call sees both cards for that price. A decision can flip on bet size alone, which is why the calculation is worth repeating each time.
Pot odds calculator
Work out the price of a call
Break-even equity is call divided by pot plus bet plus call. Equity from outs uses the rule of 2 and 4 and is approximate.
Implied odds and reverse implied odds
Implied odds add the chips you expect to win on later streets when your draw arrives. A hand that fails the bare price can still be a profitable call if a deep opponent will pay you off once you hit. Acting last also helps, as the position guide explains, because you see their action before committing chips.
Reverse implied odds are the opposite problem: you may hit and still lose more. A weak pair or the lower end of a straight can win a small pot when it is best, yet lose a large one when an opponent holds something stronger. Such hands deserve a stricter requirement than the raw percentage.
Common mistakes
- Counting your own call wrongly. The break-even denominator must include the pot, the opponent's bet and your call. Using only the pot plus the bet overstates the requirement. Dividing 100 by 400 gives 25%, not the correct 20%.
- Treating equity against one hand as equity against a range. Your flush draw may be well ahead of a bluff and far behind a set. Estimate against the hands your opponent could plausibly hold, not the one you fear or hope for.
- Ignoring future bets. Outs maths assumes you see every card for the price you are paying. If a further bet is likely on the turn, your true cost is higher and the call is weaker than it first appears.
Practising pot odds in Hold'em Sim
In Hold'em Sim the coach shows your equity and the price to call before you act, so you can check your own arithmetic against it instead of guessing. After the hand, Reveal tests the call across 10,000 simulated deals, so you can see whether the decision was sound rather than judging it by one card. Play is chips only. Try a few spots at the training table, working out the break-even figure first.