Poker Probability Straight Flush

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Thus, only seven more cards will help you to complete your flush. Your chance to shape the winning hand on the turn is therefore 15/47 = 31.9%. For advanced poker players: what is the probability of making the winning hand from the flop to the river (straight or a flush) in the above situation? We start by finding the probability of a straight flush. A straight flush is a hand with all five cards in sequential order, all of which are of the same suit. In order to correctly calculate the probability of a straight flush, there are a few stipulations that we must make. We do not count a royal flush as a straight flush. Probability tables for five card poker hands dealt from a single 52-card deck or from multiple decks.% straight flush 0.001539% straight flush 0.024010% 4 of a. The probability of a royal flush in 'Not so Ugly Ducks deuces wild' is 0.000023. So the expected number in 10,000 hands would be 0.23. So the expected number in 10,000 hands would be 0.23. Thus the probability of hitting exactly three royals in 10,000 hands is e -0.23.0.23 3 /3!

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.

Table 1. **Playing situations**
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%

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.

Table 2. **Starting hand versus average hand**
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.

Table 3. **Made hand versus drawing hand**
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%

No decimals are used. The numbers are only approximal.

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