All In Match Up Odds. The table below shows the odds of each hand winning in typical all-in match ups in Texas Holdem. The percentage chance of winning assumes that both players are all-in and that all 5 community cards will be dealt to determine a winner. The table also assumes that there are no other players in the hand, although the results should be very similar. In poker, your pot odds are the ratio or percentage that you get during a hand in progress when you compare the size of the pot to the size of a possible call. How do you calculate pot odds? This is one of the very first skills you should develop when you’re learning to play poker.

POKER PROBABILITIES

• Texas Hold'em Poker
  Texas Hold'em Poker probabilities
• Omaha Poker
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• 5 Card Poker
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POKER CALCULATOR

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POKER INFORMATION

• Poker hand rankings
  Ranking of poker hands

In poker, the probability of each type of 5-card hand can be computed by calculating the proportion of hands of that type among all possible hands.

Frequency of 5-card poker hands

The following enumerates the (absolute) frequency of each hand, given all combinations of 5 cards randomly drawn from a full deck of 52 without replacement. Wild cards are not considered. The probability of drawing a given hand is calculated by dividing the number of ways of drawing the hand by the total number of 5-card hands (the sample space, five-card hands). The odds are defined as the ratio (1/p) - 1 : 1, where p is the probability. Note that the cumulative column contains the probability of being dealt that hand or any of the hands ranked higher than it. (The frequencies given are exact; the probabilities and odds are approximate.)

The nCr function on most scientific calculators can be used to calculate hand frequencies; entering ​nCr​ with ​52​ and ​5​, for example, yields as above.

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.

When ace-low straights and ace-low straight flushes are not counted, the probabilities of each are reduced: straights and straight flushes each become 9/10 as common as they otherwise would be. The 4 missed straight flushes become flushes and the 1,020 missed straights become no pair.

Note that since suits have no relative value in poker, two hands can be considered identical if one hand can be transformed into the other by swapping suits. For example, the hand 3♣ 7♣ 8♣ Q♠ A♠ is identical to 3♦ 7♦ 8♦ Q♥ A♥ because replacing all of the clubs in the first hand with diamonds and all of the spades with hearts produces the second hand. So eliminating identical hands that ignore relative suit values, there are only 134,459 distinct hands.

The number of distinct poker hands is even smaller. For example, 3♣ 7♣ 8♣ Q♠ A♠ and 3♦ 7♣ 8♦ Q♥ A♥ are not identical hands when just ignoring suit assignments because one hand has three suits, while the other hand has only two—that difference could affect the relative value of each hand when there are more cards to come. However, even though the hands are not identical from that perspective, they still form equivalent poker hands because each hand is an A-Q-8-7-3 high card hand. There are 7,462 distinct poker hands.

Derivation of frequencies of 5-card poker hands

of the binomial coefficients and their interpretation as the number of ways of choosing elements from a given set. See also: sample space and event (probability theory).

• Straight flush — Each straight flush is uniquely determined by its highest ranking card; and these ranks go from 5 (A-2-3-4-5) up to A (10-J-Q-K-A) in each of the 4 suits. Thus, the total number of straight flushes is:
  • Royal straight flush — A royal straight flush is a subset of all straight flushes in which the ace is the highest card (ie 10-J-Q-K-A in any of the four suits). Thus, the total number of royal straight flushes is

    or simply . Note: this means that the total number of non-Royal straight flushes is 36.

• Four of a kind — Any one of the thirteen ranks can form the four of a kind by selecting all four of the suits in that rank. The final card can have any one of the twelve remaining ranks, and any suit. Thus, the total number of four-of-a-kinds is:

• Full house — The full house comprises a triple (three of a kind) and a pair. The triple can be any one of the thirteen ranks, and consists of three of the four suits. The pair can be any one of the remaining twelve ranks, and consists of two of the four suits. Thus, the total number of full houses is:

• Flush — The flush contains any five of the thirteen ranks, all of which belong to one of the four suits, minus the 40 straight flushes. Thus, the total number of flushes is:

• Straight — The straight consists of any one of the ten possible sequences of five consecutive cards, from 5-4-3-2-A to A-K-Q-J-10. Each of these five cards can have any one of the four suits. Finally, as with the flush, the 40 straight flushes must be excluded, giving:

• Three of a kind — Any of the thirteen ranks can form the three of a kind, which can contain any three of the four suits. The remaining two cards can have any two of the remaining twelve ranks, and each can have any of the four suits. Thus, the total number of three-of-a-kinds is:

• Two pair — The pairs can have any two of the thirteen ranks, and each pair can have two of the four suits. The final card can have any one of the eleven remaining ranks, and any suit. Thus, the total number of two-pairs is:

• Pair — The pair can have any one of the thirteen ranks, and any two of the four suits. The remaining three cards can have any three of the remaining twelve ranks, and each can have any of the four suits. Thus, the total number of pair hands is:

• No pair — A no-pair hand contains five of the thirteen ranks, discounting the ten possible straights, and each card can have any of the four suits, discounting the four possible flushes. Alternatively, a no-pair hand is any hand that does not fall into one of the above categories; that is, any way to choose five out of 52 cards, discounting all of the above hands. Thus, the total number of no-pair hands is:

• Any five card poker hand — The total number of five card hands that can be drawn from a deck of cards is found using a combination selecting five cards, in any order where n refers to the number of items that can be selected and r to the sample size; the '!' is the factorial operator:

This guide is licensed under the GNU Free Documentation License. It uses material from the Wikipedia.

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Do you want to know what beats what in poker? Use the official poker hands rankings chart and seem them from best to worst!

Whether you play live at your local casino or card room, you have your home game going, or you prefer the online action at websites like PokerStars, 888Poker, or partypoker, you need to learn the order of poker hands from best to worse.

Use the list of poker hands below to know beats what in poker.

Commit this poker hands ranking list to memory today and print it if you need it (there's a button for it at the bottom). Knowing the correct poker hands rank is key to start making winning poker hands.

Poker Hands From Best To Worst

Poker Hands From Best To Worst

Not Sure What Beats What in Poker?

Many consider poker less of a gambling game than other casino games. For that to be true, players need to improve their understanding of game play and the strategy required to be a winning player.

The first step toward learning how to play poker is to learn the poker hand rankings.

Most poker players have these rankings memorized, which allows them to think about other things at the table when deciding the best way to play their hands.

The good news is these hand rankings tend to be the same among a wide variety of poker variants, whether it is Texas Hold'em, Omaha, seven-card stud, or other games.

All of those games use the same traditional poker hand rankings that were first developed way back in the 19th century when five-card draw first started to be played.

On this page, you find a complete list of poker hand rankings going from the highest possible hand (the Royal Flush), down to the lowest hand in which there is no pair among the five cards.

Hand rankings in poker correspond to the likelihood of making such hands.

A royal flush, consisting of the cards ranked ace through ten all being the same suit, is extremely rare — in fact, some players go their entire lives without making a royal flush.

A regular straight flush with any five consecutive cards of the same suit is a little less rare, four of a kind occurs slightly more frequently, and so on.

Notice that a full house is ranked higher than a flush.

That's because a full house comes just a little less frequently than a flush, thereby making it the higher-ranked hand of the two.

Additional readings for beginners:

• Poker Tips: A collection of tips 'to bring your game from 'meh' to amazing' created to help beginners become better players.
• Texas Hold'em Strategy: a complete manual to read as soon as you start to remember what beats what in poker.
• Poker starting hands chart: the only article you need to read to learn how to use your cards to the fullest.

Understanding Winning Poker Hands

Players new to the game of Texas hold'em often struggle, at least at first, with what the best poker hands are.

Once they have read this easy-to-digest guide that will no longer be the case.

The aim of Texas hold'em is to make the best five-card poker hand at showdown.

You can win without having to show your cards if you force someone to fold before the river. Nonetheless, for the purpose of this article, we'll pretend that we've gone to showdown and need to know what beats what in poker.

Winning Poker Hands: What Are The Best Hands In Poker?

First up is the weakest possible holding you can make in poker, a hand that can still win you the pot, although the likelihood of that happening decreases in a pot involving multiple players.

We are of course talking about high card.

As the name suggests, you don't even hold a pair here and instead are using the highest card among the five you are playing.

Example:

You have and the board has come .

Your best five-card hand would be where you would hold queen-high.

Next up is one pair, one of the more common Texas hold'em hands and one that will win you plenty of pots.

Example:

You have and the board comes .

Your five-card hand is — you have a pair of aces. Nice poker hand!

One place higher up on the poker hands chart is two pair.

Example:

You have and the five community cards are .

Your best five-card hand at showdown is or two pair, tens and nines.

One note of warning on this specific poker hand: if you are verbally declaring your hand, try to announce the higher pair first as to help avoid confusion.

Good Poker Hands

Now we're getting into the realm of the best poker hands because once you make three-of-a-kind (sometimes called a set or trips), you are much more likely to win the pot than with any of the previously mentioned hands.

Example:

Your five-card poker hand is — you have three-of-a-kind kings, often a very powerful hand in hold'em.

To beat three-of-a-kind you're going to need at least a straight.

A straight is five consecutive cards where at least one of them is a different suit from the others.

Example:
Should your hand read you would hold a six-high straight.

If someone held a seven-high straight, then that player would win the hand.

There are two straights that have nicknames that are worth remembering.

A wheel is a straight that runs from ace-to-five, and a Broadway straight — the strongest straight — runs from ten-to-ace.

A flush is one of the most powerful Texas hold'em hands because it is only beaten by a handful of others.

Any hand that that has five cards of the same suit is a flush.

Aces are always high when it comes to flushes, which means a hand such as beats .

There are few hands that can beat a flush — one that does is a full house. Also called a 'boat,' a full house is when your five-card hand is made up of three of a kind plus a pair.

Example:

With you have kings full of deuces, while is fives full of queens.

When it comes to full houses, the higher three of a kind determines which hand wins, so in this case 'kings full' would beat 'fives full.'

The Stronger Hands in Poker

The next three holdings are so rare that if you hold them, you can almost guarantee that they are winning poker hands.

Four of a kind is the minimum holding you'll need to beat someone with a full house.

Again, as the name suggests, four of a kind means having four cards of the same rank.

Example:

is four-of-a-kind tens and an extremely powerful holding.

Your only way to beat four of a kind, or 'quads' as they are often called, is to hold either a straight flush or a Royal Flush.

The former is five consecutive cards all of the same suit, so would be an eight-high straight flush and practically unbeatable.

If you manage to make (or the same holding in any of the other three suits), you have a Royal Flush and the only way to lose the hand would be to fold by accident!

Poker Hands Probability

If you are into numbers (most poker players are), you might be wondering about the probability of poker hands.

We said that she platers might go entire lives without ever getting the highest hand in poker but, looking at the numbers, what are the odds of a Royal Flush?

In this section of our complete analysis of the poker hand ranking and what beats what in poker, you get a clear overview of the probability of poker hands.

How to calculate the probability of poker hands?

When you know that there are 52 cards in play and 2,598,960 possible combinations, the calculation is easy.

You just need to divide the number of possibilities to build a specific poker hand by the number of total poker hands.

Let's run a few examples:

What are the odds of a Royal Flush? 0.000,001,539
(4/2,598,960)

What are the odds of a Straight Flush? 0.000,015,39
(40/2,598,960)

Use the table below to calculate the probabilities of all poker hands.

Absolute Value vs. Relative Value of Poker Hands

It should be noted also that while poker hand rankings never change, sometimes circumstances can make a good hand less valuable and a poor hand more valuable.

In other words, when it comes to poker hands there's a difference between absolute value (reflected in the list of poker hands above) and relative value.

For instance, in a game of Texas hold'em, if you have two pair that might seem like a good hand.

But if your opponent keeps betting into you and it's possible he could have a straight or flush, your two pair is no longer looking so good.

Meanwhile, if you have just one pair but your opponent keeps checking to give you a free play at the pot, you might well have the strongest hand and should bet your hand.

The 'absolute' value of your hand may not be great, but in that case the 'relative' value very well could be.

Also worth mentioning is the fact that in some games like razz, deuce-to-seven triple draw, Badugi, and others you might encounter when playing online poker, the hand rankings listed below do not apply.

These hand rankings are for regular or 'high-card' games, not 'lowball' games with alternate hand rankings.

Poker Hand Rankings F.A.Q.

What is the order of poker hands?

As shown in the poker hand rankings chart, the order of poker rankings (from the highest to the lowest) is: Royal Flush, Straight Flush, Four-of-a-Kind, Full House, Flush, Straight, Three-of-a-Kind, Two Pair, One Pair, High Card.

What is the best hand in poker?

The Royal Flush is the best hand in poker. To have a Royal Flush, you need an Ace, a King, a Queen, a Jack, and a 10. All the cards that compose the hand need to be of the same suit.

What beats what in poker?

As you can see in our poker hand rankings chart, the hands in poker follow a clear hierarchy.

In a game of poker, the hand rankings work as follows:

• a pair beats a high card;
• a two pair beats a one pair;
• a three-of-a-kind beats a two pair;
• a straight beats a three-of-a-kind;
• a flush beats a straight;
• a full house beats a flush;
• a four-of-a-kind beats a full house;
• a straight flush beats a four-of-a-kind;
• a Royal Flush beats a straight flush.

The Royal Flush is the best hand in poker, so no one other hands beat this one.

What is a straight in poker?

You have a straight when all the five cards that compose your poker hand are consecutive ones. E.g. 5-6-7-8-9.

If the cards are of the same suit, you have a straight flush, which is a considerably stronger hand compare d to the simple straight.

What beats a straight in poker?

Although many see the straight as a stronger hand, there are many other poker hands that beat it.

The list of hands that beat a straight includes:

• a flush;
• a full house;
• a four-of-a-kind;
• a straight flush;
• a Royal Flush.

What beats a flush in poker?

The list of hands that beat a flush includes:

• a full house;
• a four-of-a-kind;
• a straight flush;
• a Royal Flush.

What beats a full house in poker?

The list of hands that beat a full house includes:

• a four-of-a-kind;
• a straight flush;
• a Royal Flush.

What is the highest suit in poker?

All the suits in poker have the same value. In some games, different suits can be assigned different values.

When that happens, the value is as follow (from the lowest to the highest): clubs, diamonds, hearts, spades. In that case, spades is the highest suit.

How many poker hands are there?

The total number of poker hands in a game of poker is 2,598,960. Since a game of poker uses a 52-card deck of French cards, there are 2,598,960 different possible combinations (aka. poker hands).

What hands to play in poker?

The type of hands to play in a poker game depends on the game you play and other factors like your position in the hand, your stack, and the action at the table.

In a famous poker strategy article, professional player Jonathan Little shared which hands to play in poker and how to play marginal hands.

Can you make three pairs?

Although it is possible to hold a pair in your hand and then have another two pair appear among the five community cards, you can only use a total of five cards to make your poker hand, so you don't win anything for three pairs.

Odds In Poker

Which is better, a set or trips?

They are both essentially the same hand because they are both three of a kind.

The terminology 'set' is used when you have a pair as your hole cards and then catch another one of those cards on the board.

'Trips' is when there is a pair on the board and you have another of those cards as one of your hole cards.

Sets are easier to disguise than trips so many consider them to be a better hand, although they both rank the same.

What is a chopped or split pot?

If you and an opponent have the same five-card poker hand, then the pot is divided equally between you.

Say you have and your opponent has , and the board comes .

You both would be playing the same five-card hands in terms of their value (A-J-T-8-3), and so would split the pot.

If there is four of a kind on the board, who wins?

Because the aim is to make a five-card poker hand, whoever has the highest fifth card in this case wins.

If the board reads and you have in your hand and your opponent has , then you win because you hand is 7-7-7-7-A and your opponent's is 7-7-7-7-K.

You would also win even if your opponent holding was in this example.

Are the suits ranked in Texas hold'em?

No, they are not. Some poker variants have different ranks for suits, but hold'em is not one of them.

Why did my 4-4-4-T-T lose to my opponent's 7-7-7-8-8?

As mentioned earlier, it is the three-of-a-kind element of a full house that dictates the winner.

If you're new to the game and want a reference of all of Texas hold'em hands, you can keep this page open or you could always download and print our poker hands ranking chart and keep it next to you while you're playing poker.

Useful Poker Tools

Odds Of All Poker Hands

• Poker Odds Calculator: Add your cards to the calculator to discover your chances to win the hand.
• How to use PokerStars Tools to Your Advantage: As a beginner, this article can save your life! Let us show you how you can use all the tools available on the PokerStars client to become an outstanding poker player!