Printable Poker Hands Ranked Rating: 5,6/10 1461 reviews

The printable poker hand chart on the right side of this page can be printed and brought with you to the casino and will help you learn how to play poker better. Next time you’re wondering about the basic hand strength poker rules during a game, simply pull this printable poker hand rank chart out of your pocket. 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. The best possible hand a player can make playing poker is called a royal flush and is the best hand rankings poker hand,the hand consists of a 5 card run all in the same suit i.e. Using only one of the four available suits (hearts,clubs,spades or diamonds) and also only consisting of an ace king queen jack and ten of any of these suits to make your royal flush, see image below for example.

Poker rules are easier than you may think, and there’s no better time to learn how to play poker than now, as this popular American game is played by many people today. The basic rules of poker are the same, and use the same 5-card poker hand ranking chart. There is one obscure poker game, named Badugi Poker, that uses a 4-card hand ranking chart, but the general rules of poker still apply.

Basic Poker Rules

Before you learn how to play poker games, you’ll want to familiarize yourself with basic poker rules, such as how one poker hand ranks against another. Learning the rules of poker hands and how to determine a winner in poker might seem difficult at first, but with a little bit of studying and experience, you’ll know how to play poker without having to think about it.

Table of Contents

Poker Hand Strength

The first thing to understand about poker rules is that each hand has its own strength. This strength is determined by how well the cards in your hand interact with each other. You want hands that create a run, are of the same suit, match each other’s value, and are high in strength. Normal poker rules determine the strength of hands to be the higher value cards in the following order: Ace, King, Queen, Jack, Ten, Nine, Eight, Seven, Six, Five, Four, Three, and Two. The suit of each card does not determine any sort of strength in normal poker rules. There may be special poker rules for games where a suit is used to determine who gets to act first, but that is the only reason suit would be used.

Poker Hand Rank Chart

A normal poker hand must contain five cards. There are many games where more than five cards are used, but the winning poker hand is determined by the player who has the strongest five card poker hand. What is the best poker hand? Here is a list of basic poker hands. I’ve organized them from the strongest poker hands to the weakest poker hands: Royal Flush, Straight Flush, Four of a Kind, Full House, Flush, Straight, Three of a Kind, Two Pair, One Pair, and High Card.

Printable Poker Hand Chart

Printable Poker Hands Ranking

Here are basic poker hand ranking images that I’ve just described. Again, these are organized from the strongest hands to the weakest hands.:

Royal Flush – 1 in 649,740.00

A Royal flush is the most powerful hand in poker. The hand involves having all cards being the same suit, as well as the highest possible run, which is Ace, King, Queen, Jack, Ten. This run is also known at the “Broadway” run. This hand is extremely rare to receive.

Straight Flush – 1 in 72193.33

A straight flush is similar to a royal flush, except a straight flush can be beat by a higher straight flush. A straight flush contains cards of the same suit, which also create a run. However, a straight flush changes its name to a royal flush when its highest card is an Ace.

Four of a Kind – 1 in 4165.00

Four of a kind is exactly what it sounds like, which is four of any card that is the same value. As you see in the example, we have four queens. The fifth card typically doesn’t come into play unless you’re playing a community game and the four queens are part of the community.

Full House – 1 in 694.16

A full house is a combination of three of a kind and a pair. The strength of a full house is determined by the value of the three of a kind that is part of the full house. If both players have the same three of a kind, then the pair determines the winner. For example, if Player A has QQQ88 and Player B has QQQ66, then Player A will win because his pair of 8’s are better than Player B’s pair of 6’s.

Flush – 1 in 508.80

A flush is a hand where all of the cards are of the same suit. Strength of a flush is determined by the highest card in the flush. If two players have flushes that have the same high card, then the next card us used to determine the winner. This goes on until one player has a higher card than the other. For example, If Player A had Q8652 and Player B had Q8653, then player B would win because his 3 is higher than Player A’s 2.

Straight – 1 in 254.80

A straight is also known as a run. A player has a straight when all cards in his cards are in sequential order and at least two suits exist. If only one suit exists, then the hand would be considered a straight flush. The strength of a straight is determined by the highest card. If Player A has 87654 and Player B has QJT98, then Player B has the stronger hand.

Three of a Kind – 1 in 47.32

Three of a kind is exactly how it sounds, three cards of the same value. The strength of this hand is determined by the value of the three of a kind. If both players have the same three of a kind, which is common in community games such as Texas Holdem, then the next highest value card is used to determine the winner.

Two Pair – 1 in 21.03

Two pair is when a player has two sets of two cards that have the same value. The strength of two pair is determined by the top pair first, then the second pair. For example, if Player A has JJTT4, and Player B has KK223, then Player B wins the hand because his top pair is higher than Player A’s. In another example, if Player A has JJTT4 and Player B has JJ994, then Player A wins the hand because their top pairs match, but Player A’s second pair is higher.

One Pair – 1 in 2.36

Having one pair is to have two cards of the same value. Determining the strength of a pair is simple; whoever has the higher value pair wins. If the pair is the same strength, then the next highest card determines the winner.

High Card – 1 in 1.99

Having high card is a weak holding. It’s strength is determined by the single highest value card in the hand. If players have the same top card, then the next card is used to determine the winner, and so forth. Some people think that the odds of getting this are 100%. However, that figure is only correct when considering what your odds of getting high card or better are. In reality, you’ll only get high card once in about every two hands you’re dealt.

Popular Poker Games

Poker players tend to play games in herds, meaning that they all tend to play the same poker games as each other. Players will typically start by learning Texas Holdem Poker rules, then move on to another poker game. Once a poker player is comfortable with the poker rules of their favorite game, then tend to play that game the most often and won’t change games until a new and exciting poker game is released with different rules.

At this time, the most popular poker game is Texas Holdem. This poker game has been around since before 1970 and was used as the poker game of choice in determining the World Champion of the World Series of Poker. The next most popular games are Seven Card Stud and Omaha Poker. There are many other poker games though, and all have different poker rules. Some poker games are played using a community, which are cards laid in the middle of the table for all players to share, and some poker games only allow players to use their own cards, which may be either hidden or exposed to other players. Here are the names of some other popular poker games. This list certainly does not cover all of the games, but it does give you a general idea of what other poker games people are playing: Razz, Lowball, Badugi, Chinese Poker, Big-O, Deuce to Seven Triple Draw, Five Card Draw, Five Card Stud, Pineapple, and Crazy Pineapple.

Poker Hands Ranked Printable

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.

___________________________________________________________________________

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.

Printable Poker Hand Ranking Chart

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.

___________________________________________________________________________

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

Poker Hand	Definition
1	Royal Flush	A, K, Q, J, 10, all in the same suit
2	Straight Flush	Five consecutive cards,
all in the same suit
3	Four of a Kind	Four cards of the same rank,
one card of another rank
4	Full House	Three of a kind with a pair
5	Flush	Five cards of the same suit,
not in consecutive order
6	Straight	Five consecutive cards,
not of the same suit
7	Three of a Kind	Three cards of the same rank,
2 cards of two other ranks
8	Two Pair	Two cards of the same rank,
two cards of another rank,
one card of a third rank
9	One Pair	Three cards of the same rank,
3 cards of three other ranks
10	High Card	If no one has any of the above hands,
the player with the highest card wins

___________________________________________________________________________

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.

Printable Poker Hand Rank

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.

Printable Poker Hand Rankings Order

Probabilities of Poker Hands

Printable Poker Hand Rank Chart

Poker Hand	Count	Probability
2	Straight Flush	40	0.0000154
3	Four of a Kind	624	0.0002401
4	Full House	3,744	0.0014406
5	Flush	5,108	0.0019654
6	Straight	10,200	0.0039246
7	Three of a Kind	54,912	0.0211285
8	Two Pair	123,552	0.0475390
9	One Pair	1,098,240	0.4225690
10	High Card	1,302,540	0.5011774
Total	2,598,960	1.0000000

Printable Poker Hands Rankings

___________________________________________________________________________
2017 – Dan Ma