Top 10 Types Of Poker Hands

Omaha hi-lo can be a dizzying game if you are not used to it. With two opposing, possible winning options and trying to build a hand from four hole cards and five community cards, you have to keep your wits about you at all times.

Here we endeavour to make life that little bit easier, providing some helpful hints at what Omaha hi-lo hands are worth playing, and which hands are absolute poison that should be avoided like the plague. The greatest weapon in a game of poker is knowledge and once we’ve broken down what’s what you will confidently be able to traverse the seemingly daunting and sinister world that is Omaha hi-lo split.

A flush is a poker hand containing five cards all of the same suit, not all of sequential rank, such as K ♣ 10 ♣ 7 ♣ 6 ♣ 4 ♣ (a 'king-high flush' or a 'king-ten-high flush'). It ranks below a full house and above a straight. The mouse is an ultra conservative player who plays very strict starting hand requirements (see Hellmuth's Top 10). The mouse will bet, but rarely ever raises a bet or reraises. The mouse almost never bluffs. If a mouse actually does raise or re-raise, it probably means they have an almost unbeatable hand. The mouse's weakness is that he or she.

The Best Hand

While every thoroughbred Omaha player may have their own personal favorite hand, A, A, 2, 3 (double suited), is the best hand to be armed with in Omaha hi-lo.

Top 10 Types Of Poker Hands Play

Now let us just have a look at what makes this such an effective hand, baring in mind that in Omaha hi-lo, each player must use exactly two of their hole cards and three community cards to construct either a winning hi hand or a winning lo hand, Aces are high and low, and a lo hand can only quality with an 8-7-6-5-4 or lower.

• You are sporting a pair of Aces, which is primo no matter which poker derivative you are playing.
• Double suited gives you two possible flush draws.
• A-2 or 2-3 gives you two possible straight draws which can result in a hi win and a lo win.
• Having the baby cards of A-2-3 has you in a very good position to also take the Lo pot.

Other strong hands

Generally speaking, Aces are premium, considering they are high and low and can help you win either side or both sides of a possible hi-lo pot.

Double suited low cards such as an Ace and Three of Hearts and a Deuce and Five of Clubs has you primed for two possible flush draws, a low straight flush, a low straight and a look at splitting the pot and taking the lo hand.

A combination of low cards and high cards can be advantageous too, because then you are covering both ends of the spectrum. A hand like A-K-4-2 with two of those cards suited would have you sitting pretty with a plethora of possible hands.

Bad Hands

Unsuited middle hands can be an absolute grenade in Omaha hi-lo. J,9,8,6 unsuited is a train wreck. Sure you might be able to struggle a straight out of it, but there is nothing really on here. No flush. No high pair. No real lo winning hand. You should fold mid-range hands like this with extreme prejudice.

As odd and unlikely as it might sound, having quads (four of a kind) is the worst possible hand in Omaha hi-lo (the lower the four same ranked cards the worse, with four Deuces being the absolute worst). The best you can do with four of a kind is create a pair, so it is impossible to make the hand low. It is also not possible to make three or four of a kind, you have no chance for a flush, and any player with any matching card to the board automatically makes a higher pair than you.

So as special as it may look to be clutching a quad, give it a miss, even four Aces. Also, four suited cards (each card with the same suit), makes it less likely to create a flush.

Obviously, notes pointed here are not written in stone. A win can sometimes be manufactured outside of the cards you are concealing from the rest of the table. Can you bluff you way to a win? Can you be bluffed out of a win? What are the community cards? Who are you playing against? These are just some of the things you must take into account when playing Omaha hi-lo split.

Where to play Omaha hi-lo split online

Omaha hi-lo is available to play at cash tables, sit ‘n go tables or in tournaments with the following trusted poker sites. Each site’s sign up or welcome bonus is included for your convenience.

• 888Poker.com offers up to $888 in bonus cash when you register.
• PokerStars.com offers up to $600 in matched deposit bonuses.
• FullTilt.com offers up to $600 in matched deposit bonuses.

This post works with 5-card Poker hands drawn from a standard deck of 52 cards. The discussion is mostly mathematical, using the Poker hands to illustrate counting techniques and calculation of probabilities

Working with poker hands is an excellent way to illustrate the counting techniques covered previously in this blog – multiplication principle, permutation and combination (also covered here). There are 2,598,960 many possible 5-card Poker hands. Thus the probability of obtaining any one specific hand is 1 in 2,598,960 (roughly 1 in 2.6 million). The probability of obtaining a given type of hands (e.g. three of a kind) is the number of possible hands for that type over 2,598,960. Thus this is primarily a counting exercise.

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Preliminary Calculation

Usually the order in which the cards are dealt is not important (except in the case of stud poker). Thus the following three examples point to the same poker hand. The only difference is the order in which the cards are dealt.

These are the same hand. Order is not important.

The number of possible 5-card poker hands would then be the same as the number of 5-element subsets of 52 objects. The following is the total number of 5-card poker hands drawn from a standard deck of 52 cards.

The notation is called the binomial coefficient and is pronounced “n choose r”, which is identical to the number of -element subsets of a set with objects. Other notations for are , and . Many calculators have a function for . Of course the calculation can also be done by definition by first calculating factorials.

Thus the probability of obtaining a specific hand (say, 2, 6, 10, K, A, all diamond) would be 1 in 2,598,960. If 5 cards are randomly drawn, what is the probability of getting a 5-card hand consisting of all diamond cards? It is

This is definitely a very rare event (less than 0.05% chance of happening). The numerator 1,287 is the number of hands consisting of all diamond cards, which is obtained by the following calculation.

The reasoning for the above calculation is that to draw a 5-card hand consisting of all diamond, we are drawing 5 cards from the 13 diamond cards and drawing zero cards from the other 39 cards. Since (there is only one way to draw nothing), is the number of hands with all diamonds.

If 5 cards are randomly drawn, what is the probability of getting a 5-card hand consisting of cards in one suit? The probability of getting all 5 cards in another suit (say heart) would also be 1287/2598960. So we have the following derivation.

Thus getting a hand with all cards in one suit is 4 times more likely than getting one with all diamond, but is still a rare event (with about a 0.2% chance of happening). Some of the higher ranked poker hands are in one suit but with additional strict requirements. They will be further discussed below.

Another example. What is the probability of obtaining a hand that has 3 diamonds and 2 hearts? The answer is 22308/2598960 = 0.008583433. The number of “3 diamond, 2 heart” hands is calculated as follows:

One theme that emerges is that the multiplication principle is behind the numerator of a poker hand probability. For example, we can think of the process to get a 5-card hand with 3 diamonds and 2 hearts in three steps. The first is to draw 3 cards from the 13 diamond cards, the second is to draw 2 cards from the 13 heart cards, and the third is to draw zero from the remaining 26 cards. The third step can be omitted since the number of ways of choosing zero is 1. In any case, the number of possible ways to carry out that 2-step (or 3-step) process is to multiply all the possibilities together.

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The Poker Hands

Here’s a ranking chart of the Poker hands.

The chart lists the rankings with an example for each ranking. The examples are a good reminder of the definitions. The highest ranking of them all is the royal flush, which consists of 5 consecutive cards in one suit with the highest card being Ace. There is only one such hand in each suit. Thus the chance for getting a royal flush is 4 in 2,598,960.

Royal flush is a specific example of a straight flush, which consists of 5 consecutive cards in one suit. There are 10 such hands in one suit. So there are 40 hands for straight flush in total. A flush is a hand with 5 cards in the same suit but not in consecutive order (or not in sequence). Thus the requirement for flush is considerably more relaxed than a straight flush. A straight is like a straight flush in that the 5 cards are in sequence but the 5 cards in a straight are not of the same suit. For a more in depth discussion on Poker hands, see the Wikipedia entry on Poker hands.

The counting for some of these hands is done in the next section. The definition of the hands can be inferred from the above chart. For the sake of completeness, the following table lists out the definition.

Definitions of Poker Hands

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Counting Poker Hands

Straight Flush
Counting from A-K-Q-J-10, K-Q-J-10-9, Q-J-10-9-8, …, 6-5-4-3-2 to 5-4-3-2-A, there are 10 hands that are in sequence in a given suit. So there are 40 straight flush hands all together.

Four of a Kind
There is only one way to have a four of a kind for a given rank. The fifth card can be any one of the remaining 48 cards. Thus there are 48 possibilities of a four of a kind in one rank. Thus there are 13 x 48 = 624 many four of a kind in total.

Full House
Let’s fix two ranks, say 2 and 8. How many ways can we have three of 2 and two of 8? We are choosing 3 cards out of the four 2’s and choosing 2 cards out of the four 8’s. That would be = 4 x 6 = 24. But the two ranks can be other ranks too. How many ways can we pick two ranks out of 13? That would be 13 x 12 = 156. So the total number of possibilities for Full House is

Note that the multiplication principle is at work here. When we pick two ranks, the number of ways is 13 x 12 = 156. Why did we not use = 78?

Flush
There are = 1,287 possible hands with all cards in the same suit. Recall that there are only 10 straight flush on a given suit. Thus of all the 5-card hands with all cards in a given suit, there are 1,287-10 = 1,277 hands that are not straight flush. Thus the total number of flush hands is 4 x 1277 = 5,108.

Straight
There are 10 five-consecutive sequences in 13 cards (as shown in the explanation for straight flush in this section). In each such sequence, there are 4 choices for each card (one for each suit). Thus the number of 5-card hands with 5 cards in sequence is . Then we need to subtract the number of straight flushes (40) from this number. Thus the number of straight is 10240 – 10 = 10,200.

Three of a Kind
There are 13 ranks (from A, K, …, to 2). We choose one of them to have 3 cards in that rank and two other ranks to have one card in each of those ranks. The following derivation reflects all the choosing in this process.

Two Pair and One Pair
These two are left as exercises.

High Card
The count is the complement that makes up 2,598,960.

The following table gives the counts of all the poker hands. The probability is the fraction of the 2,598,960 hands that meet the requirement of the type of hands in question. Note that royal flush is not listed. This is because it is included in the count for straight flush. Royal flush is omitted so that he counts add up to 2,598,960.

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2017 – Dan Ma