Four hands all in preflop
All in preflop: 9d8d7h6h owns 34.7%, AsAhKdQd owns 31.2%, QsQcJs4c owns 22.3%, and KsKhJcTc owns 11.8% of the pot. Exact: the engine dealt all 376,992 possible run-outs.
Aces, kings, queens and a suited rundown. The three high pairs block each other’s straights, flushes and sets; the rundown’s cards are the ones nobody else is holding. Look at which hand the engine makes the favourite.
| Hand | Equity | Wins | Splits | Equity bar |
|---|---|---|---|---|
| A♠A♥K♦Q♦ | 31.19% | 31.13% | 0.11% | |
| K♠K♥J♣T♣ | 11.80% | 11.73% | 0.12% | |
| 9♦8♦7♥6♥ | 34.69% | 34.69% | 0.00% | |
| Q♠Q♣J♠4♣ | 22.32% | 22.26% | 0.13% |
The working
- Cards out of the deck. 4 hands × 4 = 16, which leaves 36 unseen.
- Run-outs. 5 board cards to come from 36: C(36, 5) = 376,992 boards, every one of them dealt.
- Exactly two plus three. On each board a hand plays exactly two of its 4 hole cards with exactly three of the five board cards: C(4, 2) × C(5, 3) = 60 five-card hands, and the best of them is its score. Across the deal that is 90,478,080 five-card hands, each one scored the way the engine scores it.
- Equity. A board a hand wins outright is worth 1 pot; a split is worth 1 ÷ the number of hands sharing it. For 9♦8♦7♥6♥: (130,795 wins + 0 from 0 splits) ÷ 376,992 = 34.694%.
- Check. Every board's pot goes somewhere, so the equities add to 100.000%.
What each hand wins with
Share of all 376,992 boards that each hand wins outright, by the made hand it shows down. Splits are left out, so each column adds to that hand's win rate, not its equity.
| Made hand | AsAhKdQd | KsKhJcTc | 9d8d7h6h | QsQcJs4c |
|---|---|---|---|---|
| Straight flush | 0.14% | 0.14% | 0.93% | 0.14% |
| Four of a kind | 1.58% | 0.14% | 0.56% | 0.14% |
| Full house | 9.89% | 4.89% | 7.42% | 4.56% |
| Flush | 6.20% | · | 6.31% | 12.65% |
| Straight | 2.09% | 2.77% | 16.16% | 1.85% |
| Three of a kind | 4.90% | 3.46% | 1.89% | 2.18% |
| Two pair | 5.39% | 0.34% | 1.43% | 0.74% |
| Pair | 0.94% | · | · | · |
The link carries every card. Anyone who opens it gets the same counts, dealt again in their own browser.
Suits, a side card, a dead card, a different flop: in Omaha any of them moves these numbers. Open the deal in the calculator and change anything; it is dealt again in your browser.
Change the cards →- 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.
More Omaha spots
| 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 |
| 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 |