What Beat A Full House In Poker
Table Of Contents
An example of a full house is, but is a full house as well. For you to be able to have a full house in no-limit texas hold'em poker, there always needs to be at least one pair on the board.
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.
- But there are two other hand-rankings that can beat a full house: Four of a kind and straight flushes (including Royal Flushes). If your full house consists of Aces over Kings, then there are 11 sets of four-of-a-kind that can beat you and 34 possible straight flushes that can beat you.
- A Straight Flush and 4 of a Kind are stronger than a Full House, and a Full House is rarely beaten on the river in a game of Texas Hold’em poker. There are at least 5 different poker hand combinations that rank lower than a Full House, and the next one on our list is a Flush. The best possible Flush you can form is an Ace-high Flush.
Use the list of poker hands below to know what 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
1. Royal Flush | 10JQKA | The best possible hand in Texas hold'em is the combination of ten, jack, queen, king, ace, all of the same suit |
2. Straight Flush | 56789 | Five cards of the same suit in sequential order |
3. Four of a kind | 3333K | Any four numerically matching cards |
4. Full house | JJJKK | Combination of three of a kind and a pair in the same hand |
5. Flush | 2459K | Five cards of the same suit, in any order |
6. Straight | A2345 | Five cards of any suit, in sequential order |
7. Three of a kind | 77745 | Any three numerically matching cards |
8. Two pair | 99KK4 | Two different pairs in the same hand |
9. One pair | 10103QK | Any two numerically matching cards |
10. High card | K248Q | The highest ranked card in your hand with an ace being the highest and two being the lowest |
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.
Poker Hand | No. Ways | Probability |
---|---|---|
Royal Flush | 4 | 0.000,001,539 |
Straight Flush | 40 | 0.000,015,39 |
Four-of-a-Kind | 624 | 0.000,240,1 |
Full House | 3,744 | 0.001,440,58 |
Flush | 5,108 | 0.001,965,4 |
Straight | 10,200 | 0.003,924,65 |
Three-of-a-Kind | 54,912 | 0.021,128,45 |
Two Pairs | 123,552 | 0,047,539,02 |
One Pair | 1,098,240 | 0,422.569.03 |
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.
What Hands Beat A Full House In Poker
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.
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.
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This page describes the ranking of poker hands. This applies not only in the game of poker itself, but also in certain other card games such as Chinese Poker, Chicago, Poker Menteur and Pai Gow Poker.
- Low Poker Ranking: A-5, 2-7, A-6
- Hand probabilities and multiple decks - probability tables
Standard Poker Hand Ranking
There are 52 cards in the pack, and the ranking of the individual cards, from high to low, is ace, king, queen, jack, 10, 9, 8, 7, 6, 5, 4, 3, 2. In standard poker - that is to say in the formal casino and tournament game played internationally and the home game as normally played in North America - there is no ranking between the suits for the purpose of comparing hands - so for example the king of hearts and the king of spades are equal. (Note however that suit ranking is sometimes used for other purposes such as allocating seats, deciding who bets first, and allocating the odd chip when splitting a pot that can't be equally divided. See ranking of suits for details.)
A poker hand consists of five cards. The categories of hand, from highest to lowest, are listed below. Any hand in a higher category beats any hand in a lower category (so for example any three of a kind beats any two pairs). Between hands in the same category the rank of the individual cards decides which is better, as described in more detail below.
In games where a player has more than five cards and selects five to form a poker hand, the remaining cards do not play any part in the ranking. Poker ranks are always based on five cards only, and if these cards are equal the hands are equal, irrespective of the ranks of any unused cards.
Some readers may wonder why one would ever need to compare (say) two threes of a kind of equal rank. This obviously cannot arise in basic draw poker, but such comparisons are needed in poker games using shared (community) cards, such as Texas Hold'em, in poker games with wild cards, and in other card games using poker combinations.
1. Straight Flush
If there are no wild cards, this is the highest type of poker hand: five cards of the same suit in sequence - such as J-10-9-8-7. Between two straight flushes, the one containing the higher top card is higher. An ace can be counted as low, so 5-4-3-2-A is a straight flush, but its top card is the five, not the ace, so it is the lowest type of straight flush. The highest type of straight flush, A-K-Q-J-10 of a suit, is known as a Royal Flush. The cards in a straight flush cannot 'turn the corner': 4-3-2-A-K is not valid.
2. Four of a kind
Four cards of the same rank - such as four queens. The fifth card, known as the kicker, can be anything. This combination is sometimes known as 'quads', and in some parts of Europe it is called a 'poker', though this term for it is unknown in English. Between two fours of a kind, the one with the higher set of four cards is higher - so 3-3-3-3-A is beaten by 4-4-4-4-2. If two or more players have four of a kind of the same rank, the rank of the kicker decides. For example in Texas Hold'em with J-J-J-J-9 on the table (available to all players), a player holding K-7 beats a player holding Q-10 since the king beats the queen. If one player holds 8-2 and another holds 6-5 they split the pot, since the 9 kicker makes the best hand for both of them. If one player holds A-2 and another holds A-K they also split the pot because both have an ace kicker.
3. Full House
This combination, sometimes known as a boat, consists of three cards of one rank and two cards of another rank - for example three sevens and two tens (colloquially known as 'sevens full of tens' or 'sevens on tens'). When comparing full houses, the rank of the three cards determines which is higher. For example 9-9-9-4-4 beats 8-8-8-A-A. If the threes of a kind are equal, the rank of the pairs decides.
4. Flush
Five cards of the same suit. When comparing two flushes, the highest card determines which is higher. If the highest cards are equal then the second highest card is compared; if those are equal too, then the third highest card, and so on. For example K-J-9-3-2 beats K-J-7-6-5 because the nine beats the seven.If all five cards are equal, the flushes are equal.
5. Straight
Five cards of mixed suits in sequence - for example Q-J-10-9-8. When comparing two sequences, the one with the higher ranking top card is better. Ace can count high or low in a straight, but not both at once, so A-K-Q-J-10 and 5-4-3-2-A are valid straights, but 2-A-K-Q-J is not. 5-4-3-2-A, known as a wheel, is the lowest kind of straight, the top card being the five.
What Does A Full House Beat In Poker
6. Three of a Kind
Three cards of the same rank plus two unequal cards. This combination is also known as Triplets or Trips. When comparing two threes of a kind the rank of the three equal cards determines which is higher. If the sets of three are of equal rank, then the higher of the two remaining cards in each hand are compared, and if those are equal, the lower odd card is compared.So for example 5-5-5-3-2 beats 4-4-4-K-5, which beats 4-4-4-Q-9, which beats 4-4-4-Q-8.
7. Two Pairs
A pair consists of two cards of equal rank. In a hand with two pairs, the two pairs are of different ranks (otherwise you would have four of a kind), and there is an odd card to make the hand up to five cards. When comparing hands with two pairs, the hand with the highest pair wins, irrespective of the rank of the other cards - so J-J-2-2-4 beats 10-10-9-9-8 because the jacks beat the tens. If the higher pairs are equal, the lower pairs are compared, so that for example 8-8-6-6-3 beats 8-8-5-5-K. Finally, if both pairs are the same, the odd cards are compared, so Q-Q-5-5-8 beats Q-Q-5-5-4.
8. Pair
A hand with two cards of equal rank and three cards which are different from these and from each other. When comparing two such hands, the hand with the higher pair is better - so for example 6-6-4-3-2 beats 5-5-A-K-Q. If the pairs are equal, compare the highest ranking odd cards from each hand; if these are equal compare the second highest odd card, and if these are equal too compare the lowest odd cards. So J-J-A-9-3 beats J-J-A-8-7 because the 9 beats the 8.
9. Nothing
Five cards which do not form any of the combinations listed above. This combination is often called High Card and sometimes No Pair. The cards must all be of different ranks, not consecutive, and contain at least two different suits. When comparing two such hands, the one with the better highest card wins. If the highest cards are equal the second cards are compared; if they are equal too the third cards are compared, and so on. So A-J-9-5-3 beats A-10-9-6-4 because the jack beats the ten.
Hand Ranking in Low Poker
There are several poker variations in which the lowest hand wins: these are sometimes known as Lowball. There are also 'high-low' variants in which the pot is split between the highest and the lowest hand. A low hand with no combination is normally described by naming its highest card - for example 8-6-5-4-2 would be described as '8-down' or '8-low'.
It first sight it might be assumed that in low poker the hands rank in the reverse order to their ranking in normal (high) poker, but this is not quite the case. There are several different ways to rank low hands, depending on how aces are treated and whether straights and flushes are counted.
Ace to Five
This seems to be the most popular system. Straights and flushes do not count, and Aces are always low. The best hand is therefore 5-4-3-2-A, even if the cards are all in one suit. Then comes 6-4-3-2-A, 6-5-3-2-A, 6-5-4-2-A, 6-5-4-3-A, 6-5-4-3-2, 7-4-3-2-A and so on. Note that when comparing hands, the highest card is compared first, just as in standard poker. So for example 6-5-4-3-2 is better than 7-4-3-2-A because the 6 is lower than the 7. The best hand containing a pair is A-A-4-3-2. This version is sometimes called 'California Lowball'.
When this form of low poker is played as part of a high-low split variant, there is sometimes a condition that a hand must be 'eight or better' to qualify to win the low part of the pot. In this case a hand must consist of five unequal cards, all 8 or lower, to qualify for low. The worst such hand is 8-7-6-5-4.
Deuce to Seven
The hands rank in almost the same order as in standard poker, with straights and flushes counting and the lowest hand wins. The difference from normal poker is that Aces are always high , so that A-2-3-4-5 is not a straight, but ranks between K-Q-J-10-8 and A-6-4-3-2. The best hand in this form is 7-5-4-3-2 in mixed suits, hence the name 'deuce to seven'. The next best is 7-6-4-3-2, then 7-6-5-3-2, 7-6-5-4-2, 8-5-4-3-2, 8-6-4-3-2, 8-6-5-3-2, 8-6-5-4-2, 8-6-5-4-3, 8-7-4-3-2, etc. The highest card is always compared first, so for example 8-6-5-4-3 is better than 8-7-4-3-2 even though the latter contains a 2, because the 6 is lower than the 7. The best hand containing a pair is 2-2-5-4-3, but this would be beaten by A-K-Q-J-9 - the worst 'high card' hand. This version is sometimes called 'Kansas City Lowball'.
Ace to Six
Many home poker players play that straights and flushes count, but that aces can be counted as low. In this version 5-4-3-2-A is a bad hand because it is a straight, so the best low hand is 6-4-3-2-A. There are a couple of issues around the treatment of aces in this variant.
- First, what about A-K-Q-J-10? Since aces are low, this should not count as a straight. It is a king-down, and is lower and therefore better than K-Q-J-10-2.
- Second, a pair of aces is the lowest and therefore the best pair, beating a pair of twos.
It is likely that some players would disagree with both the above rulings, preferring to count A-K-Q-J-10 as a straight and in some cases considering A-A to be the highest pair rather than the lowest. It would be wise to check that you agree on these details before playing ace-to-six low poker with unfamiliar opponents.
Selecting from more than five cards
Note that in games where more than five cards are available, the player is free to select whichever cards make the lowest hand. For example a player in Seven Card Stud Hi-Lo 8 or Better whose cards are 10-8-6-6-3-2-A can omit the 10 and one of the 6's to create a qualifying hand for low.
Poker Hand Ranking with Wild Cards
A wild card card that can be used to substitute for a card that the holder needs to make up a hand. In some variants one or more jokers are added to the pack to act as wild cards. In others, one or more cards of the 52-card pack may be designated as wild - for example all the twos ('deuces wild') or the jacks of hearts and spades ('one-eyed jacks wild', since these are the only two jacks shown in profile in Anglo-American decks).
The most usual rule is that a wild card can be used either
- to represent any card not already present in the hand, or
- to make the special combination of 'five of a kind'.
This approach is not entirely consistent, since five of a kind - five cards of equal rank - must necessarily include one duplicate card, since there are only four suits. The only practical effect of the rule against duplicates is to prevent the formation of a 'double ace flush'. So for example in the hand A-9-8-5-joker, the joker counts as a K, not a second ace, and this hand is therefore beaten by A-K-10-4-3, the 10 beating the 9.
Five of a Kind
When playing with wild cards, five of a kind becomes the highest type of hand, beating a royal flush. Between fives of a kind, the higher beats the lower, five aces being highest of all.
The Bug
Some games, especially five card draw, are often played with a bug. This is a joker added to the pack which acts as a limited wild card. It can either be used as an ace, or to complete a straight or a flush. Thus the highest hand is five aces (A-A-A-A-joker), but other fives of a kind are impossible - for example 6-6-6-6-joker would count as four sixes with an ace kicker and a straight flush would beat this hand. Also a hand like 8-8-5-5-joker counts as two pairs with the joker representing an ace, not as a full house.
Wild Cards in Low Poker
In Low Poker, a wild card can be used to represent a card of a rank not already present in the player's hand. It is then sometimes known as a 'fitter'. For example 6-5-4-2-joker would count as a pair of sixes in normal poker with the joker wild, but in ace-to-five low poker the joker could be used as an ace, and in deuce-to-seven low poker it could be used as a seven to complete a low hand.
Lowest Card Wild
Some home poker variants are played with the player's lowest card (or lowest concealed card) wild. In this case the rule applies to the lowest ranked card held at the time of the showdown, using the normal order ace (high) to two (low). Aces cannot be counted as low to make them wild.
Double Ace Flush
Some people play with the house rule that a wild card can represent any card, including a duplicate of a card already held. It then becomes possible to have a flush containing two or more aces. Flushes with more than one ace are not allowed unless specifically agreed as a house rule.
Natural versus Wild
Some play with the house rule that a natural hand beats an equal hand in which one or more of the cards are represented by wild cards. This can be extended to specify that a hand with more wild cards beats an otherwise equal hand with fewer wild cards. This must be agreed in advance: in the absence of any agreement, wild cards are as good as the natural cards they represent.
Incomplete Hands
In some poker variants, such as No Peek, it is necessary to compare hands that have fewer than five cards. With fewer than five cards, you cannot have a straight, flush or full house. You can make a four of a kind or two pairs with only four cards, triplets with three cards, a pair with two cards and a 'high card' hand with just one card.
The process of comparing first the combination and then the kickers in descending order is the same as when comparing five-card hands. In hands with unequal numbers of cards any kicker that is present in the hand beats a missing kicker. So for example 8-8-K beats 8-8-6-2 because the king beats the 6, but 8-8-6-2 beats 8-8-6 because a 2 is better than a missing fourth card. Similarly a 10 by itself beats 9-5, which beats 9-3-2, which beats 9-3, which beats a 9 by itself.
Ranking of suits
In standard poker there is no ranking of suits for the purpose of comparing hands. If two hands are identical apart from the suits of the cards then they count as equal. In standard poker, if there are two highest equal hands in a showdown, the pot is split between them. Standard poker rules do, however, specify a hierarchy of suits: spades (highest), hearts, diamonds, clubs (lowest) (as in Contract Bridge), which is used to break ties for special purposes such as:
- drawing cards to allocate players to seats or tables;
- deciding who bets first in stud poker according to the highest or lowest upcard;
- allocating a chip that is left over when a pot cannot be shared exactly between two or more players.
I have, however, heard from several home poker players who play by house rules that use this same ranking of suits to break ties between otherwise equal hands. For some reason, players most often think of this as a way to break ties between royal flushes, which would be most relevant in a game with many wild cards, where such hands might become commonplace. However, if you want to introduce a suit ranking it is important also to agree how it will apply to other, lower types of hand. If one player A has 8-8-J-9-3 and player B has 8-8-J-9-3, who will win? Does player A win by having the highest card within the pair of eights, or does player B win because her highest single card, the jack, is in a higher suit? What about K-Q-7-6-2 against K-Q-7-6-2 ? So far as I know there is no universally accepted answer to these questions: this is non-standard poker, and your house rules are whatever you agree that they are. Three different rules that I have come across, when hands are equal apart from suit are:
- Compare the suit of the highest card in the hand.
- Compare the suit of the highest paired card - for example if two people have J-J-7-7-K the highest jack wins.
- Compare the suit of the highest unpaired card - for example if two people have K-K-7-5-4 compare the 7's.
Although the order spades, hearts, diamonds, clubs may seem natural to Bridge players and English speakers, other suit orders are common, especially in some European countries. Up to now, I have come across:
- spades (high), hearts, clubs, diamonds (low)
- spades (high), diamonds, clubs, hearts (low)
- hearts (high), spades, diamonds, clubs (low) (in Greece and in Turkey)
- hearts (high), diamonds, spades, clubs (low) (in Austria and in Sweden)
- hearts (high), diamonds, clubs, spades (low) (in Italy)
- diamonds (high), spades, hearts, clubs (low) (in Brazil)
- diamonds (high), hearts, spades, clubs (low) (in Brazil)
- clubs (high), spades, hearts, diamonds (low) (in Germany)
As with all house rules, it would be wise to make sure you have a common understanding before starting to play, especially when the group contains people with whom you have not played before.
Stripped Decks
In some places, especially in continental Europe, poker is sometimes played with a deck of less than 52 cards, the low cards being omitted. Italian Poker is an example. As the pack is reduced, a Flush becomes more difficult to make, and for this reason a Flush is sometimes ranked above a Full House in such games. In a stripped deck game, the ace is considered to be adjacent to the lowest card present in the deck, so for example when using a 36-card deck with 6's low, A-6-7-8-9 is a low straight.
Playing poker with fewer than 52 cards is not a new idea. In the first half of the 19th century, the earliest form of poker was played with just 20 cards - the ace, king, queen, jack and ten of each suit - with five cards dealt to each of four players. The only hand types recognised were, in descending order, four of a kind, full house, three of a kind, two pairs, one pair, no pair.
No Unbeatable Hand
In standard poker a Royal Flush (A-K-Q-J-10 of one suit) cannot be beaten. Even if you introduce suit ranking, the Royal Flush in the highest suit is unbeatable. In some regions, it is considered unsatisfactory to have any hand that is guaranteed to be unbeaten - there should always be a risk. There are several solutions to this.
In Italy this is achieved by the rule 'La minima batte la massima, la massima batte la media e la media batte la minima' ('the minimum beats the maximum, the maximum beats the medium and the medium beats the minimum'). A minimum straight flush is the lowest that can be made with the deck in use. Normally they play with a stripped deck so for example with 40 cards the minimum straight flush would be A-5-6-7-8 of a suit. A maximum straight flush is 10-J-Q-K-A of a suit. All other straight flushes are medium. If two players have medium straight flushes then the one with higher ranked cards wins as usual. Also as usual a maximum straight flush beats a medium one, and a medium straight flush beats a minimum one. But if a minimum straight flush comes up against a maximum straight flush, the minimum beats the maximum. In the very rare case where three players hold a straight flush, one minimum, one medium and one maximum, the pot is split between them. See for example Italian Poker.
In Greece, where hearts is the highest suit, A-K-Q-J-10 is called an Imperial Flush, and it is beaten only by four of a kind of the lowest rank in the deck - for example 6-6-6-6 if playing with 36 cards. Again, in very rare cases there could also be a hand in the showdown that beats the four of a kind but is lower than the Imperial Flush, in which case the pot would be split.
Hand probabilities and multiple decks
The ranking order of poker hands corresponds to their probability of occurring in straight poker, where five cards are dealt from a 52-card deck, with no wild cards and no opportunity to use extra cards to improve a hand. The rarer a hand the higher it ranks.
This is neither an essential nor an original feature of poker, and it ceases to be true when wild cards are introduced. In fact, with a large number of wild cards, it is almost inevitable that the higher hand types will be the commoner, not rarer, since wild cards will be used to help make the most valuable type of hand from the available cards.
Mark Brader has provided probability tables showing the frequency of each poker hand type when five cards are dealt from a 52-card deck, and also showing how these probabilities would change if multiple decks were used.