Poker Odds Calculator: Pot Odds and Draw Probability
A poker odds calculator can answer two different questions: what share of the final pot does a call cost, and how often will a specified drawing card appear? Those numbers are related, but they are not interchangeable. Completing a draw does not necessarily win the hand, and paying to see the turn does not always guarantee access to the river.
The tool below keeps the call-price calculation and card-completion probability separate. Choose a one-card or two-card horizon, supply a count of distinct outs and read the assumptions beside the result. It is a Hold’em learning model, not a card-reading equity engine or an instruction to call or fold.
How to enter the inputs
Current pot includes the latest bet
Add every amount already in the pot at your decision, including the opponent’s current bet. Do not enter only the pot from before that bet, and do not include your unmade call yet. The calculator adds that call once.
Call cost is the extra amount now
Use the amount you must add to continue, after accounting for chips you have already committed on this round. A raise-to total is not the same input. This simplified tool does not price raises or side-pot eligibility.
Outs are distinct cards
Enter a whole number of cards in the fixed target set. Count each card once, even if it helps more than one draw. The calculator accepts zero outs but cannot decide whether a card really produces a winning hand.
Choose how many cards you see
Flop to turn and turn to river each measure one card. Flop to river measures at least one hit across both cards. Use the latter only with its assumption that another payment is not needed to see the second card.
Use the same units for the pot and call. They can be chips or a currency amount; the percentages do not depend on the unit name. Decimal amounts are accepted, while outs must be whole cards. Blank values, negative amounts, impossible out counts and non-finite numbers produce an error instead of leaving an old result on display.
The current pot must be positive. For this simple model, the extra call cannot exceed that current pot. If the displayed table amount includes multiple side pots or complex unmatched wagers, do not force it into the basic model without establishing which money you are eligible to win.
Pot odds: put the opponent’s bet in the denominator
Let P be the current pot including the opponent’s bet, and C the additional call. The final pot after the call is P + C. The simple break-even equity fraction is C ÷ (P + C), ignoring fees, further action and other complications.
Worked example: 1,000 pot, opponent bets 500
The opponent’s bet makes the current pot 1,500. You need to add 500. The final pot would be 1,500 + 500 = 2,000.
The price is therefore 500 ÷ 2,000 = 25%. The current pot to call-cost ratio is 1,500:500, or 3:1.
Using 500 ÷ (1,000 + 500) would give 33.33%, but that uses the pre-bet pot while omitting one of the two new contributions. It describes a different input situation. If the pot truly is only 1,000 after the opponent’s bet, then calling 500 does produce a final pot of 1,500 and a 33.33% threshold.
PokerStars’ pot-odds lesson illustrates the distinction between the price ratio and its percentage form. Always establish what the pot number includes before comparing results from two calculators or examples.
Ratios and percentages are different presentations
Pot odds of 3:1 mean three units currently available for each additional unit called. The percentage calculation includes the call itself: one unit divided by four total units gives 25%. Dividing one by three would answer a different question.
With a positive pot and no call cost, this tool displays a 0% price threshold and “No call cost” rather than dividing a ratio by zero. That does not make all later streets free. It simply means the current decision does not require an additional call under the entered inputs.
Draw probability: one card or both remaining cards?
The model assumes standard 52-card Hold’em, with only your two private cards and the community cards known. Five cards are known on the flop, leaving 47 unseen. Six are known on the turn, leaving 46. Other players’ concealed cards remain part of your uncertainty; the model does not pretend they are known dead cards.
Flop to turn
For O distinct outs, the one-card probability is O ÷ 47. Nine outs give 9 ÷ 47 = 19.15%, rounded to two decimal places.
Turn to river
For the current turn situation, use O ÷ 46. Nine outs give 9 ÷ 46 = 19.57%. Recount the outs if the turn changed the draw.
Flop to river: at least one hit
For a fixed set of O outs, the probability of missing on the turn is (47 − O) ÷ 47. After a miss, the probability of missing again is (46 − O) ÷ 46. Multiply those miss probabilities, then subtract from one:
This is sampling without replacement. It is not simply twice the flop-to-turn probability, because the second draw follows a first card already removed. It counts at least one card from the fixed set, not exactly one hit and not the probability of winning at showdown.
The fixed-set assumption matters. If a turn card creates a new draw, changes which cards help or makes some improvements lose, the simple count is no longer a complete hand analysis. The tool does not automatically update card identities because it receives only the number of outs.
Why a flop call may not buy the river
In the default example, nine outs have a 19.15% chance on the next card and a 34.97% chance over both remaining cards. Neither percentage alone decides the call. If an opponent can bet again on the turn, reaching the river may require another payment or a later fold.
The two-card horizon is most straightforward as a card-completion calculation when both cards will be seen without another call, such as a suitable all-in situation. Even then, completing the draw may not win, and full equity can include other winning or tied outcomes. Keep the card calculation separate from a complete expected-value analysis.
Counting outs without counting the same card twice
An out is a card included in the set you are trying to hit. For a simple four-to-a-flush Hold’em situation, there are 13 cards of the suit and four known, leaving nine nominal cards of that suit unseen. The PokerStars guide to counting outs explains the basic method.
The word “nominal” matters: a flush can still lose to a stronger flush or another hand. A board-pairing card can also improve an opponent. This calculator counts appearances of the supplied target cards; it does not certify them as clean winning outs.
Overlap between draws
If one card completes both a straight and a flush, it is one physical card, not two outs. Adding draw counts without removing shared cards overstates the target set.
Dirty or uncertain outs
A card can improve your hand while leaving it second best. Assessing whether it wins requires opponent and board information beyond a single out count. Do not label completion probability as hand equity.
Backdoor draws need more than one improvement and are not represented by “hit at least one of these fixed outs.” An actual-card equity calculation also needs valid card identities, duplicate-card checks and the supported game’s hand-selection rules. Those features are outside this numeric tool.
What the results do and do not mean
The price threshold describes a simplified share of the final pot needed to cover the entered call. The draw percentage describes a card event. They are displayed side by side for learning, without a green “call” or red “fold” verdict. A genuine decision can require more information than those two numbers.
- Opponent holdings or ranges: the tool does not know what hands you are facing.
- Current showdown value: a hand may win without the target card arriving.
- Redraws and ties: an improvement can later be overtaken, and pots can be shared.
- Future action: later bets change the cost and possible return.
- Fees: rake and other charges are not deducted.
- Side pots: eligibility must be established separately.
- Tournaments: chip calculations are not tournament prize-equity calculations.
Implied odds concern possible additional money on later streets; reverse implied odds concern additional losses even after an apparent improvement. Neither is automatically added here. Fold equity concerns an opponent folding to an action, which is different from the card-completion calculation for calling.
This page does not calculate the house edge of dealer-banked poker or the RTP of a video poker paytable. It also does not support Omaha’s different card-selection constraints or known opponent cards. Use the poker variants guide to identify the format before choosing a tool.
Use the calculator as a review aid
When reviewing a hand, write down the pot after the opponent’s wager, the additional call and the exact card horizon. Then identify what your out count assumes. This makes disagreements easier to resolve: two different answers may come from different horizons or pot definitions rather than different arithmetic.
The step-by-step Hold’em guide follows a complete hand and tracks the pot through each round. The hand-ranking guide helps distinguish an improved hand from a winning category. The glossary explains terms such as equity, outs, side pot and showdown.
Mobile controls and input checks
Use the number fields without currency symbols or thousands separators. All amounts must use the same unit. The form accepts decimals for pot and call, but fractional cards are rejected. The maximum unseen-card count changes with the selected horizon.
Changing an input clears the previous calculation and asks you to calculate again, so an old answer is not left beside new values. Reset restores the worked example. The tool runs on this page without connecting to a poker account or placing any wager. Check the operator’s rules before using external assistance during play.
Casino offers and poker eligibility
A casino welcome campaign does not establish access to a peer-to-peer poker room. A promotion may exclude poker or apply reduced contribution and maximum-stake conditions. Read the bonus guide and the exact offer terms separately from the calculator.
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Explore the poker guides
Poker overview
Distinguish player-versus-player poker, casino poker and video poker.
How to play
Follow blinds, betting rounds, showdown and worked pot totals.
Poker glossary
Check the meaning of equity, outs, rake and other terms used in calculations.
Hand rankings
Compare the best five-card hands before deciding what an improvement represents.
Return to the casino games hub for other formats. Set time and spending limits independently of any calculation, and read the responsible gambling information if play becomes about recovering losses. A correct probability is not a promise about the next hand.
Poker calculator FAQ
Does the pot input include the opponent’s latest bet?
Yes. Enter the current pot before your call, including the opponent’s latest bet and other chips already in the pot. The calculator adds only your additional call cost to obtain the final pot.
What are the pot odds when an opponent bets 500 into 1,000?
The current pot becomes 1,500. Calling costs 500 and makes the final pot 2,000, so the simple call-price threshold is 500 divided by 2,000, or 25%, before fees and further betting.
Why are there separate one-card and two-card options?
A flop call does not necessarily buy both remaining community cards. You may face another bet on the turn. The two-card calculation assumes that both turn and river are seen without an additional payment for the horizon being compared.
How is draw probability calculated?
For one card it is outs divided by unseen cards: 47 on the flop or 46 on the turn under this model. From flop to river it is one minus the probability of missing the same fixed set of outs on both cards.
Is hitting an out the same as winning the hand?
No. A card can complete your draw while an opponent still has a better hand or improves afterward. You can also win without completing the draw. Completion probability is not a full hand-equity calculation.
Does the calculator know which cards are outs?
No. You supply a number of distinct outs. It does not read cards, evaluate hands or remove overlapping or losing outs automatically. Counting the same card twice overstates the probability.
Can I use a 52-card denominator on the flop?
Not for this model. Your two hole cards and three flop cards are already known, leaving 47 unseen cards. On the turn, six cards are known and 46 remain unseen. Known opponent cards would require a different model.
What happens if the call costs zero?
With a positive current pot and a zero call cost, the simple price threshold is 0% and the tool labels the ratio as no call cost. This does not imply that future betting is free or that a later decision has no risk.
Does the calculator support Omaha or backdoor draws?
No. Its model is for a fixed set of Hold’em outs with the stated known cards. Omaha card-use requirements, known opponent cards and draws that require two specific improvements need a different calculation.
Will the calculator tell me to call or fold?
No. It displays the price threshold and the probability of hitting your supplied outs separately. It does not model full equity, fees, future bets, opponent ranges, side-pot eligibility or tournament prize effects.