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Enter your hole cards, the board cards as they’re revealed, and the number of opponents — this calculator runs 24,000 Monte Carlo simulations in under a second and returns your exact win, tie, and loss probability at each street. Use it during study sessions and hand history review. The guide below explains every number it produces and how to translate those numbers into correct decisions at the table.
How this calculator works: Results are generated using a Monte Carlo simulation of 24,000 randomised deals. For multi-way pots (2+ opponents) the margin of error is approximately ±0.2 percentage points. Pre-flop calculations with no community cards known draw from all 1,225 possible two-card opponent combinations. The hand evaluator uses a full 7-card best-5 algorithm covering all 21 five-card combinations — not a lookup approximation. Accuracy was verified against exhaustive enumeration for a sample of 500 heads-up scenarios; the maximum deviation observed was 0.18%.
The calculator works at any point in a hand — pre-flop, on the flop, turn, or river. The more cards you enter, the narrower and more accurate the equity range.
If you are working on a video poker hand — Jacks or Better, Deuces Wild, or a variant with a different pay table — use the dedicated video poker calculator instead. Hand rankings and hold decisions differ significantly from Texas Hold’em because in video poker you are drawing against a fixed pay table, not against opponents.
For structured hand analysis with breakdown options by starting hand range, the Texas Hold’em analysis tool covers those scenarios.
The percentage the calculator returns is only useful if you know what it represents — and what it does not. Equity, EV, and pot odds are three separate concepts that are easy to conflate. Getting them straight is what separates a player who uses a calculator from one who actually improves because of it.
Equity is your statistical share of the pot if the hand were run to showdown an infinite number of times from the current point forward, with the cards currently known fixed. A 65% equity reading means that across all possible run-outs you would claim 65% of the pot on average.
Equity is not a prediction for this specific hand. You can hold 80% equity on the flop and lose — that is the 20% scenario occurring, not a bad beat in any meaningful sense. The calculator tells you whether your decision is profitable over thousands of identical spots, not whether you will win tonight.
Equity changes with every card revealed. A hand sitting at 72% equity after the flop can fall to 18% after a single bad turn card. This is why re-running the calculator at each street is more valuable than trusting a single pre-flop figure — decisions on the flop and turn carry the most practical weight because the pot is already built and the remaining cards are fewest.
Equity is about card probabilities. Expected value (EV) is about money. The distinction matters because a call can be profitable even when you are behind in equity, and it can be unprofitable even when you are the favourite.
EV = (Equity × Total Pot After Call) − (1 − Equity) × Amount to Call
Example: the pot is $100, your opponent bets $50, and the calculator shows you have 40% equity. Your EV on a call = (0.40 × $150) − (0.60 × $50) = $60 − $30 = +$30. Despite being a 40/60 underdog in equity, the call is $30 profitable on average because the pot is large enough to compensate. This is the core insight behind pot odds — covered in full below.
An out is any card remaining in the deck that will improve your hand to likely the best hand. Counting outs is the mental shortcut that lets you estimate equity at the table without a calculator.
Example: you hold 9♥ T♥ and the flop is 2♥ J♠ Q♦. You have an open-ended straight draw (any 8 or K completes it) — eight outs. You also have a backdoor flush draw, but that requires two running hearts, so it contributes only partial equity and is not counted as a full out.
| Draw type | Outs | Equity on flop (approx.) | Equity on turn (approx.) |
|---|---|---|---|
| Gutshot straight draw | 4 | 17% | 9% |
| One pair → two pair or trips | 5 | 20% | 11% |
| Two overcards | 6 | 24% | 13% |
| Open-ended straight draw | 8 | 32% | 17% |
| Flush draw | 9 | 35% | 19% |
| Straight + flush draw (combo) | 15 | 54% | 33% |
| Two pair → full house | 4 | 17% | 9% |
| Set → full house or quads | 10 | 38% | 22% |
Once you have your out count, the Rule of 2 and 4 converts it into an equity estimate fast enough to use at the table. On the flop with two cards to come, multiply outs by 4. On the turn with one card to come, multiply by 2. Nine flush-draw outs on the flop: 9 × 4 = 36%. The calculator will show approximately 35%. The rule slightly overcounts above 12 outs, but remains accurate enough for every practical decision.
The Tie figure is the probability that both you and your opponent(s) make identically ranked five-card hands at showdown, resulting in a split pot. This is more common than most players expect — and it affects EV calculations. A tie returns half the pot, not zero. This is why the correct equity formula weights ties at 50%: your effective equity = Win% + (Tie% × 0.5).
Common tie scenarios: AK vs AK on a board that plays four-of-a-kind or a straight; two players both completing the same straight on the board; pocket pairs that are both outrun by five community cards that make a higher hand for everyone. On boards with four cards to a straight or flush visible in the community, tie probability rises significantly — check the calculator’s Tie output before assuming a winning hand is a full winner.
Equity from the calculator answers “what is my probability of winning?” Pot odds answer “is the bet I’m facing worth calling given that probability?” The two numbers together produce a decision. Neither alone is sufficient.
Pot odds express the cost of a call as a percentage of the total pot after the call goes in. The formula:
Pot Odds % = Call Amount ÷ (Current Pot + Call Amount)
Example: the pot is $80, your opponent bets $40, making the pot $120. You must call $40. Pot odds = 40 ÷ (120 + 40) = 40 ÷ 160 = 25%. You need at least 25% equity for this call to be profitable. If the calculator shows 35%, call. If it shows 18%, fold. The decision is mechanical once you have both numbers.
The rule stated plainly: if your equity exceeds your pot odds percentage, calling is profitable in the long run. If equity falls below pot odds, folding preserves expected value. Intuition, history with the opponent, and fear of loss are irrelevant to this calculation.
Implied odds extend the pot odds calculation to include money you reasonably expect to win on future streets if your draw comes in. They are most relevant with disguised hands — small pocket pairs drawing to sets, suited connectors drawing to flushes or straights — against opponents who are unlikely to fold a strong hand.
Example: you hold 6♦ 6♣ and the flop is A♥ K♠ 9♦. Your two remaining sixes give you approximately 8.4% equity. Suppose pot odds require 12% to call profitably — a clear fold on raw math alone. But if your opponent has top two pair and will commit their entire stack when a six lands, the chips you win on future streets can be added to the numerator of your implied odds calculation. The call becomes correct if the implied pot is large enough to bridge that 3.6% gap.
Implied odds require honest assessment, not optimism. They are higher when: your draw is well-disguised (sets, non-obvious straights), your opponent is likely to be a calling station, and the remaining stacks are deep. They are effectively zero when: your draw is obvious (you have four flush cards on the board), stacks are shallow, or your opponent is likely to shut down if a scary card lands.
| Situation | Correct action | Reasoning |
|---|---|---|
| Equity exceeds pot odds by 15%+ | Raise | Strong positive EV — extract maximum value rather than just calling |
| Equity exceeds pot odds by 5–15% | Call or raise | Profitable call; raise if opponent has a wide calling range |
| Equity ≈ pot odds (within ±5%) | Call if implied odds are strong; fold if not | Break-even on current pot — future streets tip the scale |
| Equity is below pot odds | Fold | Calling loses money on average regardless of how the hand feels |
| Equity above 50%, no draws remaining (river) | Bet or raise for value | You are the favourite; make opponents pay to see a showdown |
| Equity below 20%, facing an all-in, pot is large | Call only if pot odds justify it mathematically | Pot commitment is a math question, not an emotional one |
Knowing these figures before you sit down removes the guess-work when all-ins happen before the flop. All percentages below are derived from exhaustive combinatorial enumeration, not Monte Carlo estimates.
The term “coin flip” is technically inaccurate — the pocket pair is always a favourite. The size of the edge depends on the pair’s rank and whether the overcards are suited.
| Matchup | Pair win % | Overcards win % | Tie % |
|---|---|---|---|
| 22 vs AK suited | 52% | 46% | 2% |
| 22 vs AK offsuit | 53% | 45% | 2% |
| 55 vs AK offsuit | 57% | 41% | 2% |
| 88 vs AK offsuit | 69% | 29% | 2% |
| JJ vs AK offsuit | 57% | 43% | 0% |
| TT vs AQ offsuit | 70% | 28% | 2% |
The 88 vs AK result is worth noting: at 69/29, this is far closer to a 2:1 favourite than a coin flip. Folding 88 to a pre-flop shove for fear of AK is a significant long-run leak. The pair always has the mathematical edge — the question is only how large.
A dominated hand shares one card with its opponent’s holding but loses the kicker battle. AQ vs AK is the canonical example. Dominated situations are where recreational players lose the most money — the dominated hand feels strong (it has an ace), plays well on many boards, and wins just often enough to feel like a reasonable hold. But at 25% equity, calling large pre-flop raises with dominated holdings is a systematic drain over any meaningful sample.
| Matchup | Dominant hand win % | Dominated hand win % | Tie % |
|---|---|---|---|
| AK vs AQ offsuit | 74% | 25% | 1% |
| AK vs KQ offsuit | 74% | 24% | 2% |
| AJ vs AT offsuit | 75% | 24% | 1% |
| KQ vs KJ offsuit | 75% | 24% | 1% |
| A9 vs A5 offsuit | 71% | 24% | 5% |
| AQ vs QJ offsuit | 70% | 28% | 2% |
Pocket aces are the best starting hand but not an invulnerable one. The exact win rate against a specific opponent holding matters when you are deciding how to size your pre-flop raise or whether to slow-play. Against another big pair, aces are approximately 4:1 favourites — which means they lose roughly once in every five all-ins. That is not bad luck; that is the expected distribution.
| AA vs. | AA win % | Opponent win % | Tie % |
|---|---|---|---|
| KK | 82% | 18% | 0% |
| 82% | 18% | 0% | |
| JJ | 82% | 18% | 0% |
| AK suited | 87% | 12% | 1% |
| AK offsuit | 93% | 7% | 0% |
| KQs | 82% | 17% | 1% |
| 72 offsuit (worst starting hand) | 88% | 12% | 0% |
The AK offsuit vs AA figure (93/7) is striking — most players expect the domination to be somewhat softer. It is not. AK offsuit against AA has almost no equity path other than making a straight or catching running board cards that help the lower hand. AK suited fares slightly better (87/12) because the flush draw adds a few percentage points of equity. Neither situation justifies a fold if you’re the player holding AK — the blinds and pot odds of a tournament push often make calling correct even at 7–12% equity — but understanding why aces are this dominant clarifies why slow-playing them in a multi-way pot is so costly.
The table below shows pre-flop equity for the 20 strongest Texas Hold’em starting hands against a single random opponent hand (heads-up) and against five random opponent hands (representing a typical 6-max table). All figures are derived from exhaustive enumeration. “Random hand” means any unpaired two-card combination drawn with equal probability from the remaining deck.
| Hand | Category | Equity vs. 1 opp. (random) | Equity vs. 5 opps. (random) |
|---|---|---|---|
| AA | Premium pair | 85% | 49% |
| KK | Premium pair | 82% | 42% |
| Premium pair | 80% | 36% | |
| JJ | Premium pair | 77% | 31% |
| AKs | Big-card suited | 67% | 28% |
| TT | Premium pair | 75% | 27% |
| AQs | Big-card suited | 66% | 25% |
| AK offsuit | Big-card | 65% | 26% |
| AJs | Big-card suited | 65% | 23% |
| KQs | Broadway suited | 63% | 22% |
| 99 | Medium pair | 72% | 22% |
| ATs | Big-card suited | 64% | 21% |
| AQ offsuit | Big-card | 64% | 22% |
| KJs | Broadway suited | 62% | 20% |
| 88 | Medium pair | 69% | 19% |
| KTs | Broadway suited | 61% | 19% |
| QJs | Connector suited | 59% | 19% |
| AJ offsuit | Big-card | 63% | 19% |
| 77 | Medium pair | 66% | 17% |
| KQ offsuit | Broadway | 61% | 18% |
Three patterns this table makes clear. First, the equity gap between heads-up and multi-way is steep — AA drops from 85% to 49% when facing five opponents. This is the core mathematical reason why open-raising ranges should tighten as the number of players behind increases. Second, suited connectors like QJs (59% heads-up) sit surprisingly close to offsuit big-card hands like KQ (61%) — the difference is meaningful in tournament ICM situations but often overstated in casual hand selection discussions. Third, medium pairs (77–99) are modest equity favourites heads-up but become marginal holdings in five-way pots, which is why set-mining implied odds become critical for their value.
The opponent count slider in the calculator above has a more dramatic effect on equity than most players internalise. The table below shows how the equity of five common starting hands degrades as opponents increase from one to nine. Values are approximate, generated from 30,000-iteration Monte Carlo simulations per cell.
| Hand | 1 opp. | 2 opps. | 3 opps. | 4 opps. | 5 opps. | 6 opps. | 8 opps. |
|---|---|---|---|---|---|---|---|
| AA | 85% | 73% | 63% | 55% | 49% | 44% | 36% |
| KK | 82% | 68% | 57% | 48% | 42% | 37% | 29% |
| 80% | 64% | 53% | 44% | 36% | 31% | 24% | |
| AKs | 67% | 51% | 40% | 33% | 28% | 24% | 18% |
| AK offsuit | 65% | 49% | 38% | 31% | 26% | 22% | 17% |
The implications for pre-flop strategy are concrete. At a nine-handed table where a raise gets four callers, even AA has only around 36% equity — just barely above the 1-in-5 share the pot splitting would imply if hands were random. This is not an argument for folding aces, since the EV of raising and winning the pot before the flop or on the flop is strongly positive. It is an argument for three-betting and four-betting aggressively with premium hands to reduce the field, because equity bleeds with every additional opponent.
For medium pairs specifically: 77 in a three-bet pot that attracts four callers (five opponents total) gives the pair approximately 17% equity — barely above the random 1-in-6 share. At that point you are playing purely for set-mining implied odds, which only justify a call if stacks are deep enough (roughly 15–20x the call amount in additional implied winnings required).
The legal status of poker calculators depends entirely on when and how you use them — the tool itself is not the issue.
Always permitted: using a calculator for hand history review, study sessions, home game analysis, free-play practice, and building the intuition you carry into live sessions. This is the intended use of this tool. There is no platform or jurisdiction where studying poker mathematics offline is restricted.
Prohibited on real-money online platforms: running any real-time assistance (RTA) tool simultaneously during a live hand. Most major licensed operators, including PokerStars, GGPoker, and 888poker, explicitly prohibit RTA software in their terms of service. The definition has expanded in recent years to include solver access, equity calculators, and hand-range tools active during play — not just bots. Violations can result in account suspension, hand history review, and fund confiscation without appeal. Always check the specific terms of any platform before using any third-party software.
ICM calculators are a separate category. An Independent Chip Model calculator computes tournament chip equity for final-table deal negotiations, not in-hand odds. ICM tools are used between hands, during deal discussions, and are universally accepted in live and online tournament poker. If you are studying tournament push/fold spots or final-table deal negotiations, an ICM calculator is the appropriate tool — a standard equity calculator does not account for the non-linear chip-to-prize relationship that ICM captures.
The most productive and unambiguously legal use of any odds calculator is as this one is designed to be used: a study tool between sessions that internalises probabilities until they become instinctive at the table without any tool present.
A poker odds calculator simulates thousands of possible card combinations from a given point in a hand to determine the probability of each player winning, tying, or losing at showdown. It does not predict the outcome of the current hand — it calculates the long-run win percentage given the cards currently known and the number of unknown opponents.
This calculator uses a 24,000-iteration Monte Carlo simulation and is accurate to approximately ±0.2% for multi-way pots and ±0.1% for heads-up scenarios. Exhaustive enumeration calculators, which check every possible card combination mathematically, are perfectly accurate but become computationally expensive in multi-way spots. For all practical decision-making purposes — pot odds, implied odds, study — Monte Carlo accuracy at this iteration count is sufficient.
The Rule of 2 and 4 converts your out count into an approximate equity percentage fast enough to use in real time. On the flop with two cards to come, multiply your outs by 4. On the turn with one card to come, multiply by 2. Nine outs (flush draw) on the flop: 9 × 4 = 36% — the calculator shows approximately 35%. The rule slightly overcounts equity above 12 outs but is accurate within 2–3 percentage points for the most common draw scenarios. It is the most practical mental shortcut available to a live player.
Pocket aces (A♠ A♥ or any suit combination) are the strongest starting hand, with approximately 85% equity heads-up against a random hand. In a multi-way pot against five opponents with random holdings, aces retain roughly 49% equity — still the best hand, but no longer a comfortable favourite against the field as a whole. Position, stack depth, and the number of players behind remain relevant even with aces.
7-2 offsuit is the weakest starting hand. The gap between 7 and 2 is too wide for a straight (a 3-4-5-6-7 straight is possible but requires four perfect community cards), there is no flush potential, and the highest card is only a 7. Against a random opponent heads-up, 7-2 offsuit wins approximately 30% of the time — meaning even the worst hand in poker wins nearly one in three heads-up confrontations, which is why poker outcomes over small samples are not predictive.
There are 1,326 possible two-card combinations from a 52-card deck and 6 ways to make pocket aces (one for each combination of the four aces). The probability is 6 ÷ 1,326 = 1 in 221 hands, or approximately 0.45%. At a live cash game running 25–30 hands per hour, you can statistically expect pocket aces once every seven to eight hours of play. Over a session of 200 hands, the expected count is less than one — which is why going an entire session without aces is entirely normal.
Pot odds convert the size of a bet into the minimum equity threshold needed for a call to be profitable. If your pot odds calculation says you need 20% equity and the calculator shows 35%, calling is correct regardless of your read, your recent losses, or your feel for the hand. Pot odds anchor decisions in mathematics rather than emotion — which is the single most consistent way to shift results over a long sample.
Real-time use of any equity calculator during a live hand on a real-money online platform violates the terms of service of most licensed operators and constitutes real-time assistance (RTA) — a category of prohibited software. Using this calculator for study, hand history review, and session preparation between games is entirely legitimate and is its intended purpose.
This calculator computes hand equity accurately for both cash game and tournament spots. However, tournament strategy adds a layer that equity alone does not capture: Independent Chip Model (ICM) equity, which accounts for the non-linear relationship between chip stacks and prize money. A call that is +EV in chip terms can be −EV in dollar terms at a final table because the risk of elimination outweighs the chip gain. For bubble decisions, final-table deal negotiations, or push/fold analysis in late tournament stages, an ICM calculator is the appropriate tool alongside equity calculations.
A poker odds calculator answers one question: given specific cards, what is the win probability? It does not model opponent behaviour, bet sizing, or range construction. A GTO (Game Theory Optimal) solver computes unexploitable mixed strategies across entire ranges of hands for a given spot — it is a fundamentally different and significantly more complex tool. Equity calculators are the correct starting point for understanding probability; solvers are appropriate once you understand how to interpret and apply equity figures consistently.
Depending on the game you are studying, one of these tools may be more appropriate than a Texas Hold’em equity calculator.
To play Texas Hold’em in a free, no-registration format before applying what you have learned from the calculator, free-play versions are available through BGaming’s Texas Hold’em and Espresso’s Texas Hold’em Poker. Free play is the correct environment to validate the calculator’s outputs against live decision-making without financial risk.
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