6-card PLO odds
With six cards in your hand, the odds change a lot compared with Hold'em or 4-card PLO. Here are the most useful PLO6 odds, calculated exactly: how often you're dealt aces or a pair, how the suits usually come, how often you flop a set or a flush, and an outs table.
📐 These are exact mathematical calculations, also checked with a simulation of 200,000 hands. They are not strategy advice.
How many starting hands there are
20,358,520
different 6-card combinations (1,326 in Hold'em). And within each hand there are 15 different two-card pairs you can combine with the board, because in Omaha you always play exactly 2 cards from your hand.
Aces
| You're dealt… | Probability | Roughly |
|---|---|---|
| No ace | 60.28% | 3 in 5 hands |
| Exactly one ace | 33.64% | 1 in 3 |
| At least one ace | 39.72% | 2 in 5 |
| Two aces or more | 6.08% | 1 in 16 |
| Exactly two aces | 5.73% | 1 in 17 |
Pairs and suits
| Your hand has… | Probability |
|---|---|
| At least one pair (two cards of the same rank) | 65.48% |
| Six different ranks, no pair at all | 34.52% |
| At least one repeated suit (two or more cards of one suit) | 100% |
| Two or more suits with at least two cards («double-suited» or better) | 79.51% |
With 6 cards and only 4 suits, you always hold at least two cards of the same suit: in PLO6 almost any hand can make some flush.
On the flop
| Situation | Probability | Roughly |
|---|---|---|
| Holding a pair, flop at least a set | 12.75% | 1 in 8 |
| Holding two of a suit, flop a made flush (3 of the suit) | 1.09% | 1 in 92 |
| Holding two of a suit, flop a flush draw (2 of the suit) | 12.68% | 1 in 8 |
Only the cards you can see count (yours and the board); your opponents' cards are unknown. For the set, you hold exactly two cards of that rank; for the flush, exactly two of that suit.
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Outs table: flop to river
After the flop you see 9 cards (your 6 and the 3 on the board), leaving 43 unknown. With these outs, the chance of making your hand is:
| Outs | On the turn | By the river | Example |
|---|---|---|---|
| 4 | 9.30% | 17.94% | Gutshot straight draw |
| 8 | 18.60% | 34.11% | Open-ended straight draw |
| 9 | 20.93% | 37.87% | Flush draw |
| 13 | 30.23% | 51.83% | Small wrap |
| 15 | 34.88% | 58.14% | Flush draw + open-ender |
| 17 | 39.53% | 64.01% | Big wrap |
| 20 | 46.51% | 71.98% | Maximum wrap |
Careful: in PLO6 you hold many cards, so count your outs well. Every card of a suit or rank you hold is one fewer in the deck. And a card that completes your hand can give your opponent a better one, for example when it pairs the board and makes a full house possible.
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