Poker Probability Flush Draw

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 probabilitiesOddsPercent
Double wraparound straight draw (e.g. hand: 9-8-5-4, flop: 7-6-x)0.48-168%
Wraparound straight draw (e.g. hand: 8-5-4-x, flop: 7-6-x)0.67-160%
Straight flush draw0.84-154%
Hitting a full house with three pairs 3-124%
Hitting a full house with two pairs5.1-116.5%
Hitting quads with a set21.5-14.5%

To calculate your poker equity - or how often you should win a hand, you can use a simple formula. Count how many outs you have. For example, if you're drawing to a flush, you have 13 suited cards, two in your hand, two on the board - leaves 9 outs. The chance of you hitting on the turn is 9.4 (+4) = 40%. The best hand (because of the low probability that it will occur) is the royal flush, which consists of 10, J, Q, K, A of the same suit. There are only 4 ways of getting such a hand (because there are 4 suits), so the probability of being dealt a royal flush is `4/(2,598,960)=0.000 001 539` Straight Flush.

A flush draw has nine outs (thirteen cards of the suit less the four already in the hand). If a player has a flush draw in Hold'em, the probability to flush the hand in the end is 34.97 percent if there are two more cards to come, and 19.56 percent (9 live cards divided by 46 unseen cards) if there is only one more card to come. . The straight flush section has several variations that can change the odds that are displayed. These are primarily and inside draw or an outside draw. For example if you have 5h, 6h, 7h, 8h there are two ways to make the straight flush - either a 4h or a 9h will do it. However if you have an inside draw you have for example 2d, 3d, 5d, 6d. It looks like you're trying to calculate the odds of flopping a flush, not a flush draw. In this case the odds of the events all happening is a multiplication of the odds of each individual event (11/50.10/49.9/48 so 0.84%) OP is asking the odds of flopping a flush draw, so 2 suited, one unsuited out of the three in all combinations.

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
SituationPercent
A-A-K-K double suited to win against average hand73%
A-A-K-K rainbow to win against average hand68%
A-A-7-7 double suited to win against average hand72%
A-A-7-7 rainbow to win against average hand67%
A-A-J-T double suited to win against average hand76%
A-A-J-T rainbow to win against average hand71%
J-T-9-8 double suited to win against average hand56%
J-T-9-8 rainbow to win against average hand49%
Flush

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
SituationPercent
Top set against flush draw70%-30%
Middle set against flush draw70%-30%
Top set against flush draw + two pairs68%-32%
Set against wraparound straight draw52%-48%
Set against double wraparound straight draw53%-47%
No decimals are used. The numbers are only approximal.

Comments

Factors that can affect the odds are for example blocking cards.

Flush draws versus straight draws

Poker Probability Flush Draw

In Omaha, hands with flush draws are often more likely to win than straight draws.

Table 4. Drawing hands
SituationPercent
Flush draw against wraparound60%-40%
Flush draw against double wraparound55%-45%
No decimals are used. The numbers are only approximal.
DrawDraw

Poker Odds Flush Draw

Comments

Poker Odds Flop Flush Draw

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 flush drawing

Poker Probability Flush

Related article:Omaha strategy