Plo Equity Calculator
Pot-Limit Omaha equities run much closer than Hold’em, which is exactly why guessing is expensive. Enter up to four Omaha hands and the board (if any) and this calculator runs a real Monte Carlo simulation in your browser: thousands of random runouts, every legal hand evaluated under the exact two-hole-cards plus three-board-cards rule, with wins and ties counted into true equity percentages. A pot-odds mode is included for call-or-fold decisions.
Monte Carlo simulation: each run deals fresh random runouts, so results can move about a percentage point between runs. Re-run close spots to confirm. Equities assume both hands go to showdown; they do not account for fold equity, position or future betting.
Quick Answer
A♠ K♠ A♦ K♦ against Q♠ J♠ T♣ 9♦ is about 67.5% to 32.5% pre-flop (tie ~0.0%), simulated over 200,000 random boards. On a K♠ Q♠ 2♣ flop, A♠ T♠ 7♣ 6♦ (nut-flush draw) against 9♠ 8♠ 5♣ 4♦ is about 76.4% to 23.6%. In pot-odds mode, a $50 call into a $100 pot needs 33.3% equity: with 40% equity the verdict is CALL. Those benchmark numbers were produced with this same engine at 200,000 trials for stability; the in-browser trial selector caps at 20,000 for speed and reproduces them within Monte Carlo noise. Monte Carlo results move about a point between runs; re-run close spots to confirm.
- Quick Answer
- Key takeaways
- How to use the PLO equity calculator
- How the equity is computed
- Worked examples, checked against this exact tool
- Why this version replaced the old math
- PLO equities run close: benchmarks
- Pot odds: the call-or-fold math
- What competing calculators miss
- Frequently asked questions
- Add This Calculator to Your Website
- References
Key takeaways
- Real simulation, not a guess. Every calculation deals thousands of random runouts and evaluates every legal two-hole-plus-three-board combination per player under the exact two-plus-three rule (60 at 4 cards, 100 at 5 cards, 150 at 6 cards).
- Suits move PLO equities by several points. Double-suited AAKK vs KKQQ ranges from about 63% to 71% depending on suit overlap: card-exact simulation beats rules of thumb.
- PLO equities run close. Even the best pre-flop hand is roughly a 2-to-1 favorite at most, never the 80%+ lock aces are in Hold'em.
- Hi only. This calculator scores the high hand; it does not split for Omaha Hi-Lo.
How to use the PLO equity calculator
Pick a mode at the top of the calculator. Pre-flop Equity takes up to four hands and simulates all five board cards. Post-flop Analysis adds the board: enter 3, 4 or 5 cards and the simulation deals only the missing streets. Pot Odds Analysis skips the cards and answers call-or-fold from the pot size, the bet to call and your hand equity. Type cards as rank plus suit, for example AS for the ace of spades and TH for the ten of hearts; the fields auto-uppercase and reject anything that is not a real card. Choose 1,000 trials for speed, 5,000 for the recommended balance, or 20,000 for the steadiest number, then hit Calculate Equity.
How the equity is computed
For each trial the simulator builds the remaining 52-card deck (your eight hole cards and any board cards removed), deals the missing board cards at random, then finds each player's best legal hand: every combination of exactly two hole cards with exactly three board cards, 60 combinations per player, keeping the highest. Win, loss or tie is recorded, and after all trials:
Pot odds = (pot + bet) ÷ bet, shown as X:1
Required equity = bet ÷ (pot + bet) × 100. Call when your hand equity beats it.
The hand evaluator resolves every tie-breaker correctly: kickers for pairs, two pairs, trips and flushes; the wheel (A-2-3-4-5) as the lowest straight; full houses ranked by the trips first. The two-plus-three rule is enforced absolutely: one hole card is never enough for a flush or a straight, and you can never play the board. Duplicate cards across hands and board are rejected before a single trial runs.
Worked examples, checked against this exact tool
Pre-flop. Player 1: A♠ K♠ A♦ K♦ (double-suited aces, the best starting hand in PLO). Player 2: Q♠ J♠ T♣ 9♦ (suited rundown). Over 200,000 simulated boards: Player 1 67.5%, Player 2 32.5%, ties 0.0%. Verdict: Player 1 Strong Advantage.
Post-flop. Board K♠ Q♠ 2♣. Player 1: A♠ T♠ 7♣ 6♦ (nut-flush draw). Player 2: 9♠ 8♠ 5♣ 4♦. Over 200,000 simulated runouts: Player 1 76.4%, Player 2 23.6%, ties 0.0%. The nut draw is a clear but not certain favorite: about one runout in four still goes wrong.
Pot odds. Pot $100, bet $50 to call, your equity 40%. Pot odds = 150 ÷ 50 = 3.0:1; required equity = 50 ÷ 150 = 33.3%. Your 40% beats 33.3%, so the verdict is CALL - Positive Expected Value. Drop your equity to 20% and it flips to FOLD.
Why this version replaced the old math
The previous version of this tool did not simulate anything. Pre-flop it scored each hand with fixed weights (5 points per pair, 3 per suited card, 2 per connected card), normalized the two scores and clamped the result between 15% and 85%. Post-flop it compared only the current made-hand categories with no runout simulation and no kicker resolution. Tested against the same inputs, the old numbers were provably wrong:
| Matchup | Old tool | Correct (simulated / enumerated) |
|---|---|---|
| AAKK double-suited vs Q♠J♠T♣9♦, pre-flop | 53.9% / 46.1% | 67.5% / 32.5% (200k trials) |
| AAKK double-suited vs KKQQ double-suited, pre-flop | 50.0% / 50.0% (called a coin flip) | 71.1% / 28.9% (exact, all 1,086,008 boards) |
| Nut-flush draw vs third-nut (9♠-high) flush draw, flop K♠Q♠2♣ | 47.5% / 47.5% (both "high card") | 76.4% / 23.6% (200k trials) |
The old page's own text promised "Monte Carlo simulations" while the code ran a hand-scored heuristic: the rebuild makes the tool do what the page always claimed. If you ran numbers on the old version, re-run them here; treat the old outputs as unreliable.
PLO equities run close: benchmarks
One reason the old heuristic felt plausible is that PLO numbers genuinely cluster. The engine's own benchmark checks:
| Matchup | This engine |
|---|---|
| AAKK double-suited vs KKQQ double-suited | 63.4–71.1% depending on suit overlap |
| K♠Q♠J♦T♦ vs A♠A♦7♥2♣ (classic coin flip) | 48.6% / 51.4% |
| Identical-strength mirror hands | 50.0% / 50.0%, ties 64.1% |
| Best AAxx vs a random hand | 65–70% in the engine's own random-hand checks |
The suit-overlap row deserves emphasis: the same two hand types give 63.4% with non-overlapping suits and 71.1% with fully overlapping suits. Any calculator that ignores suits, or any chart that quotes one number for "AAKK vs KKQQ", is hiding a real effect. Enter your exact cards and let the simulation deal with it.
Pot odds: the call-or-fold math
Equity tells you how often you win; pot odds tell you whether the price is right. If the pot is $100 and the bet is $50, you risk $50 to win $150: you need to win at least one time in three (33.3%) to break even. That is the required equity, and the rule is mechanical: hand equity above it means call, below it means fold. Note what this mode does not do: it says nothing about implied odds (money you might win later), reverse implied odds, or fold equity. In PLO, where equities run close and multi-way pots are common, treat a thin call as exactly that: thin.
What competing calculators miss
pokerpro.tools is the strongest free rival: a browser Monte Carlo engine with 30,000 trials, exact-enumeration validation and 5/6-card Omaha support. PLOCalc (from the PioSolver team) does exact enumeration rather than Monte Carlo but is paid software. Equilab Omaha remains a solid free desktop option with range-vs-range analysis. What none of them do in one lightweight page is combine pre-flop, post-flop and pot-odds modes with a trials selector and instant copy/share: this page runs up to 20,000 trials without an install, enforces the two-plus-three rule on every legal combination per player (60 at 4 cards, 100 at 5 cards, 150 at 6 cards), and keeps the call-or-fold math next to the equity that feeds it. It now also covers up to four players, PLO5 and PLO6, a card picker, and a Player 2 range input.
For the probability concepts behind the simulation, the odds calculator converts between probabilities and betting odds, the coin flip probability calculator shows the same binomial idea at its simplest, compound probability covers combined events, and probability percentage handles the percentage conversions.
Frequently asked questions
Equity is your share of the pot based on how often your hand wins or ties at showdown: (wins + half the ties) divided by all possible runouts. In Pot-Limit Omaha each player holds four hole cards in PLO4 (five in PLO5, six in PLO6) and must use exactly two of them with exactly three board cards, which makes equities run much closer than in Hold'em.
The calculator removes your eight hole cards and any board cards from a 52-card deck, then deals the missing board cards at random thousands of times. Each runout is evaluated under the exact two-plus-three rule for both players, and the win/tie counts become the equity percentages. More trials means a steadier number.
Each run deals fresh random runouts, so the percentages move about a percentage point between runs at 5,000 trials. That is normal Monte Carlo behavior, not a bug. For close decisions, re-run two or three times or switch to 20,000 trials and look at the average.
In Omaha your final five-card hand must use exactly two of your four hole cards and exactly three of the five board cards. You cannot play the board, and one hole card is never enough for a flush or straight. The calculator enumerates every legal combination per player (60 at 4 cards, 100 at 5 cards, 150 at 6 cards) and keeps the best, so equities follow real Omaha rules.
Yes, for Player 2. List exact hands separated by commas in the opponent range box, for example AS KS AD KD, QS JS TC 9D. Each trial draws one listed hand at random for Player 2, while your hand and any other players stay fixed, and Player 2's fixed boxes are ignored while a range is entered. Pattern ranges (for example "my hand against any pair plus broadway cards") and range-vs-range analysis still need desktop software such as Equilab Omaha or PLOCalc.
5,000 trials is the recommended default: accurate to about a percentage point and fast on any device. Use 1,000 for quick what-if checks and 20,000 when a close call-or-fold decision needs the steadiest number. Accuracy improves with the square root of the trial count, so quadrupling trials roughly halves the noise.
Four cards that work together: high cards (nuttiness), connected ranks (rundowns like J-T-9-8), suitedness (ideally double-suited to an ace), and high pairs. Double-suited AAKK is the best starting hand, yet even it is only about a 2-to-1 favorite over a strong rundown, which is why PLO equities cluster.
No. It scores the high hand only, which is correct for Pot-Limit Omaha. Omaha Hi-Lo splits the pot with a qualifying 8-or-better low hand, which changes every equity materially. Do not use these numbers for Hi-Lo decisions.
The engine was validated three ways: two independently written hand evaluators agreed on 200,000 random hands, full enumeration of all 1,086,008 possible boards for AAKK double-suited vs KKQQ double-suited landed inside the published exact-enumeration band, and mirror hands return exactly 50/50. Remaining error is Monte Carlo noise, which the trials selector controls.
No. The percentages assume both hands go to showdown and measure cards only. They do not account for fold equity, position, stack depths, or future betting. A 55% equity edge with no fold equity and bad position is a much thinner spot than the raw number suggests.
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References
- PokerStars. Omaha Poker: Learn How to Play Omaha: the exactly-two-hole-cards plus exactly-three-board-cards rule. Accessed October 24, 2026.
- Upswing Poker. Pot Limit Omaha Starting Hands: 3 Things That You Must Consider: nuttiness, connectedness and suitedness; PLO equities run close. Accessed October 24, 2026.
- PokerListings. Pot-Limit Omaha: Top 30 Starting Hands Chart. Accessed October 24, 2026.
- PLOSpot. PLO Preflop Strategy: Building Opening Ranges in 4-Card and 5-Card Omaha. Accessed October 24, 2026.
- George Washington University, School of Engineering and Applied Science. Monte Carlo Methods: trials, counting successes, accuracy improving with trial count. Accessed October 24, 2026.
- Advanced Poker Training. What Is PLO Poker? A Complete Beginner's Guide to Pot Limit Omaha. Accessed October 24, 2026.