Free tool

Pot Limit Omaha (PLO) odds calculator.

Pick up to six four-card hands, or make any of them a random hand, and add a board if you like. You'll see each hand's share of the pot and how often it wins or ties by the river, scored the Omaha way: two cards from each hand, three from the board.

Omaha equity calculatorBefore the flop
Player 1
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Player 2
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Board
Flop
Flop
Flop
Turn
River
Pick cards: they fill the next empty spot

Working it out…

Numbers make more sense at a table.Practice Omaha with a coach

How Omaha equity works

Equity is your share of the pot if all five board cards were dealt and nobody bet again. The calculator deals the rest of the board, scores every hand at the showdown and counts who wins. A tie gives each tied hand an equal part of the pot. With 40% equity in a 100-chip pot, your hand is worth 40 chips on average.

That number is what you compare with the price of a call. If you have to put in 30 chips to win a pot that will be 100, you need 30% equity to break even. The pot odds calculator does that part, and the pot-limit calculator shows the biggest bet anyone can make.

How Omaha differs from hold'em

  • Four cards, exactly two used. Your hand is two of your four cards plus three of the five on the board. A hold'em player who holds one heart with four hearts on the board has a flush. An Omaha player doesn't.
  • Six hands in one. Four cards make six different two-card pairs, and each pair can go with ten different sets of three board cards. So on the river the calculator checks 60 five-card hands for every player and keeps the best.
  • Closer equities. With six two-card pairs each, hands hit more boards and have more draws, so big favorites are rarer. Aces are still the best start, just not by as much.
  • Bigger draws. Four cards that work together can draw to a straight with 20 cards, where the best hold'em straight draw has 8. On the flop a big draw is often the favorite against a made hand.

Example: aces against a rundown

The same matchup, played both ways. Counting every possible board (1.7 million in hold'em, 1.1 million in Omaha):

GameAcesAgainstAces winOther hand wins
Hold'emA♠A♦J♥10♥78.3%21.7%
OmahaA♠A♦7♣2♥J♥10♥9♣8♣50.0%50.0%

The aces are the same. In Omaha the 7♣2♥ add almost nothing, while J♥10♥9♣8♣ has four cards in a row and two suits, so it makes straights and flushes the aces can't beat. That's why Omaha players look for hands where all four cards work together, and why aces with two loose cards are a much smaller edge than they look.

Example: top set against a wrap

The flop is 9♠8♦2♣. One player has top set with 9♥9♣A♦K♠. The other has J♠10♥7♦6♣, a wrap: any queen, jack, ten, seven, six or five makes a straight, 20 cards in all. Counting all 820 possible turns and rivers:

GameSetDrawSet winsDraw wins
Hold'em9♥9♣J♠10♥74.1%25.9%
Omaha9♥9♣A♦K♠J♠10♥7♦6♣45.6%54.4%

In hold'em the straight draw has 8 cards (a queen or a seven) and the set is a big favorite. In Omaha the draw is ahead. The set can still win after the straight comes on the turn, if the river pairs the board and gives it a full house.

Give the drawing hand a flush draw as well, with J♠10♠7♦6♣ on 9♠8♠2♣ against 9♥9♣A♦K♦, and it goes up to 61.1%. Add a third player with A♣K♣Q♥Q♦ and the three hands come out at 39.3% for the set, 55.4% for the draw and 5.3% for the queens. A pair with nothing to draw to does worst of all in a three-way pot.

Example: what you really have

You hold 10♥3♣3♦8♠ and the board ends K♥Q♥J♥2♥7♣. Count the way you would in hold'em, with any of your cards, and you'd see a king-high flush. In Omaha you have to use two of your cards, and only one of them is a heart, so there's no flush. The 10♥ needs an ace or a nine beside it for a straight, and you have neither. Your best hand is a pair of threes. The calculator reads every hand this way, and the Omaha hand reader shows which two cards you're using and whether you have the nuts.

Before the flop

How good a starting hand is overall is a different question from its equity against one hand. To see where four cards rank among all 270,725 Omaha hands, and which seats should play them, use the Omaha starting hand checker. New to the game? Omaha for hold'em players covers the rules, the starting hands and the draws in a few short lessons.

Questions people ask

Why are Omaha equities closer than hold'em?
Four cards give each player six two-card combinations, so almost every hand has something to draw to. Aces against kings is about 82% to 18% in hold'em. In Omaha, A♥A♦K♣7♠ against K♥K♦Q♠2♣ is about 78% to 22%, and aces against a good rundown like J♦10♦9♠8♠ are close to a coin flip, about 52% to 48%.
What is the two-plus-three rule?
Every Omaha hand uses exactly two of your four cards and exactly three from the board. Not one card, not three, and never the board on its own. This calculator scores every hand that way.
How strong are double-suited aces?
A♠A♥K♠K♥ is the best starting hand, but still far from a lock. It wins about 69% against K♦K♣Q♦Q♣ and holds about 45% of the pot against three random hands.
Can a draw be ahead of a made hand?
Often. A♦K♦5♠4♣ on a Q♦J♦4♥ flop has a draw to the best flush, a straight draw (any ten) and a pair. Against top two pair it wins about 63% by the river.
Why do the numbers move a little each time?
Before the flop, or with random hands, the calculator deals 5,000 to 10,000 random run-outs rather than every possible one, so results can shift by about a percent. With known hands on the flop or turn it counts every possible run-out exactly.
Does it work for five-card or six-card Omaha?
No. It deals and scores four-card hands only. Five-card and six-card PLO use the same two-plus-three rule, but every hand has more combinations, so the numbers run even closer and four-card results don't carry over.
Does it work for Omaha hi-lo?
No. It scores high hands only, the way Pot-Limit Omaha is played. In Omaha hi-lo (Omaha eight or better) the pot is often split with a low hand, which changes every equity.

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