5-card PLO equity calculator
Up to 9 hands of 5 cards, any board, any dead cards. The engine deals every possible run-out and scores every hand on each the Omaha way, exactly two hole cards with exactly three from the board, so win, split and equity are counts, not simulations: the same to the last digit for anyone who opens the link.
Nothing computed yet. The engine runs in your browser once the page has loaded.
- Computed: every possible run-out, dealt from the cards nobody holds, with every hand scored under Omaha rules: the best of all its two-hole-card, three-board-card five-card hands. No sampling, so no error bars.
- How it is scored: when the page loads, the engine scores every distinct five-card rank pattern and every flush once, into a lookup table the calculator reads. That table is tested against the engine on all 2,598,960 five-card hands, so every comparison is the engine’s own.
- High only. Omaha hi-lo (eight or better) splits pots between a high and a low hand; that is not computed here, so do not read these numbers for PLO8.
- Assumed: everyone sees the showdown. Equity is each hand's share of the pot if nobody folds and no more money goes in. In pot-limit that is exact once everyone is all-in; with chips behind it is a starting point, not a verdict.
- Specific hands only. Omaha ranges hold hundreds of thousands of combinations, so equity against a range is not here.
- Input: cards as rank then suit, spaces optional: As Ah Ks Kh, or AsAhKsKh. Every hand needs the same number of cards: four for PLO, five or six for the bigger variants.
Worked examples
13 Omaha spots across all three variants, each with its own page: the full card-by-card table, what every hand wins with, and the counts behind each percentage.
| Spot | Game | Street | Favourite | Equity | Boards dealt |
|---|---|---|---|---|---|
| AAKK double-suited vs JT98 double-suited | PLO | preflop | A♠A♥K♠K♥ | 61.5% | 1,086,008 |
| Ragged aces vs suited, connected kings | PLO | preflop | A♣A♦7♠2♥ | 57.2% | 1,086,008 |
| AAKK vs two rundowns, three-way | PLO | preflop | A♠A♥K♠K♥ | 42.6% | 658,008 |
| Four hands all in preflop | PLO | preflop | 9♦8♦7♥6♥ | 34.7% | 376,992 |
| Top set vs a wrap | PLO | flop | Q♠J♠8♦7♣ | 54.4% | 820 |
| Top set vs the nut flush draw and a wrap | PLO | flop | A♥J♥T♣7♠ | 55.1% | 820 |
| Set over set | PLO | flop | K♠K♦Q♥5♣ | 90.0% | 820 |
| Nut straight vs set with the nut flush draw, on the turn | PLO | turn | T♦7♥J♣4♣ | 57.5% | 40 |
| One heart is not a flush | PLO | river | 3♥2♥T♠9♠ | 100.0% | 1 |
| 5-card PLO: aces with broadways vs a suited rundown | 5-card PLO | preflop | A♠A♥K♦Q♦J♣ | 51.4% | 850,668 |
| 5-card PLO: top set vs a royal flush draw and a wrap | 5-card PLO | flop | A♥K♥T♠9♥8♣ | 55.3% | 741 |
| 6-card PLO: AAKKQJ vs a six-card rundown | 6-card PLO | preflop | A♠A♥K♠K♥Q♦J♦ | 54.7% | 658,008 |
| 6-card PLO: top set with a wrap vs the nut flush draw | 6-card PLO | flop | 8♥8♣7♥6♣5♦9♦ | 66.5% | 666 |
More hole cards, more hands per board
With 5 hole cards there are C(5, 2) = 10 ways to choose the two you play, so each hand is the best of 100 five-card hands on every board, against 60 in four-card Omaha. More of the deck helps everyone, which pulls equities together: in aces with broadways vs a suited rundown the five-card aces own 51.4%, and in AAKKQJ vs a six-card rundown six-card AAKK owns 54.7%.
Exactly two hole cards, exactly three from the board
Every Omaha hand is two hole cards plus three board cards: no more, no fewer. That is the rule behind the most common misread at the table. With four hearts on the board, one heart in your hand is not a flush; in this river showdown the ace of hearts makes a pair and the three and two of hearts win the pot. The calculator applies the rule on every board, and on a complete board it shows which five cards each hand actually plays.
Why the numbers are exact
Preflop with two four-card hands there are 1,086,008 possible boards, and each hand is the best of 60 five-card hands on every one of them. Instead of calling the engine for each of those, the calculator has the engine score every distinct five-card pattern once, when the page loads, then reads that table: a fraction of a second for a flop, about a second for a full preflop deal. Nothing is sampled, so there is no error bar and no seed, and a hold’em deal on the hold’em calculator is enumerated the same way.
The trainer is hold’em only for now: call/fold decisions and equity reads, graded in big blinds against stated ranges.
Drill hold’em equity reads →