The number of ways to arrange five cards of four different suits is 45 = 1024. Next subtract 4 from 1024 for the four ways to form a flush, resulting in a straight flush, leaving 1020. The total number of ways to form a straight is 10.1020=10,200. Three of a Kind. I just ran the numbers and thought it was worth posting. Using Combination. Flops combin(50, 3) = 19600. 3 flush combin(11, 3) = 165 / 19600 = 0. = 0.84% = 1/119. To see how the actual formula looks like, please see the And five card poker hand below. The royal flush is a case of the straight flush. It can be formed 4 ways (one for each suit), giving it a probability of 0.000154% and odds of 649,739: 1.
Here are some important probabilities in Omaha that returns in different situations. Knowledge about probabilities will help you to better evaluate situations in poker. You will , for example, know when you should call and when you shouldn't, and, vice versa, know when to fold and when the odds are in your favor.
| Drawing hands probabilities | Odds | Percent |
|---|---|---|
| Double wraparound straight draw (e.g. hand: 9-8-5-4, flop: 7-6-x) | 0.48-1 | 68% |
| Wraparound straight draw (e.g. hand: 8-5-4-x, flop: 7-6-x) | 0.67-1 | 60% |
| Straight flush draw | 0.84-1 | 54% |
| Hitting a full house with three pairs | 3-1 | 24% |
| Hitting a full house with two pairs | 5.1-1 | 16.5% |
| Hitting quads with a set | 21.5-1 | 4.5% |
Poker odds #3: How to play a flush draw. In the third part of the Paul Phua Poker School series on poker odds, Paul Phua gives tips on flush draws.
Starting hands
There are many starting hands in Omaha (16.432 if not all suit combinations are counted), which makes it difficult to get an overview. Table 2 will hopefully increase that overview a bit.
| Situation | Percent |
|---|---|
| A-A-K-K double suited to win against average hand | 73% |
| A-A-K-K rainbow to win against average hand | 68% |
| A-A-7-7 double suited to win against average hand | 72% |
| A-A-7-7 rainbow to win against average hand | 67% |
| A-A-J-T double suited to win against average hand | 76% |
| A-A-J-T rainbow to win against average hand | 71% |
| J-T-9-8 double suited to win against average hand | 56% |
| J-T-9-8 rainbow to win against average hand | 49% |
Comments
Exemple of a double suited hand: Q♥ A♥ 2♦ K♦
Exemple of a rainbow hand: Q♥ A♣ 2♠ K♦
The best Omaha hands are less bigger favorites against an average hand compared to Texas Hold'em.
In Texas Hold'em, common knowledge is that A-A is very big favorite against all other hands. In Omaha, A-A as a part of a hand is far from that strong. In general, an A-A-x-x hand versus a random four-card hand is a 70-30 favorite in average (if all the starting hands that are normally folded are excluded, the A-A-x-x hands will be even less favorites).
Made hands versus draws
A typical feature in an Omaha Hi game is a set against a hand with several drawing possibilities. The made hand will not be a very big favorite (sometimes it is an underdog), so the recommended strategy is to play fast and bet/raise the pot in these situations.
| Situation | Percent |
|---|---|
| Top set against flush draw | 70%-30% |
| Middle set against flush draw | 70%-30% |
| Top set against flush draw + two pairs | 68%-32% |
| Set against wraparound straight draw | 52%-48% |
| Set against double wraparound straight draw | 53%-47% |
Comments
Factors that can affect the odds are for example blocking cards.
Flush draws versus straight draws
In Omaha, hands with flush draws are often more likely to win than straight draws.
| Situation | Percent |
|---|---|
| Flush draw against wraparound | 60%-40% |
| Flush draw against double wraparound | 55%-45% |
Probability Of A Flush Poker
Comments
Since that many cards are in action, there are often combined possibilities, which makes it hard to give general percentages. A hand with a flush draw has mostly something else, like a pair or a straight draw as well.
Poker Probability Of Full House
Related article:Omaha strategy