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Poker

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  • General principles
    • Betting limits
  • Principal forms
    • Stud poker
    • Community-card poker
    • House-banked games
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Poker Hands Flush Tie

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Join Britannica's Publishing Partner Program and our community of experts to gain a global audience for your work! William N. ThompsonSee All Contributors
Professor of public administration, University of Nevada. Author of Gambling in America: An Encyclopedia of History, Issues, and Society (2001) and Legalized Gambling: A Reference Handbook...

Poker, card game, played in various forms throughout the world, in which a player must call (i.e., match) the bet, raise (i.e., increase) the bet, or concede (i.e., fold). Its popularity is greatest in North America, where it originated. It is played in private homes, in poker clubs, in casinos, and over the Internet. Poker has been called the national card game of the United States, and its play and jargon permeate American culture.

Although countless variants of poker are described in the literature of the game, they all share certain essential features. A poker hand comprises five cards. The value of the hand is in inverse proportion to its mathematical frequency; that is, the more unusual the combination of cards, the higher the hand ranks. Players may bet that they have the best hand, and other players must either call (i.e., match) the bet or concede. Players may bluff by betting that they have the best hand when in fact they do not, and they may win by bluffing if players holding superior hands do not call the bet.

General principles

There are forms of poker suitable to any number of players from 2 to 14, but in most forms the ideal number is 6, 7, or 8 players. The object is to win the “pot,” which is the aggregate of all bets made by all players in any one deal. The pot may be won either by having the highest-ranking poker hand or by making a bet that no other player calls. The following principles apply to nearly all forms of poker.

Cards

Poker is almost always played with the standard 52-card deck, the playing cards in each of the four suits (spades, hearts, diamonds, clubs) ranking A (high), K, Q, J, 10, 9, 8, 7, 6, 5, 4, 3, 2, A (low only in the straight [a series of five cards numbered consecutively] or straight flush [a series of five cards numbered consecutively within the same suit] 5-4-3-2-A and in certain variants described below).

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In social play, especially in “dealer’s choice” (i.e., a card-playing session in which each player takes a turn at dealing the cards and selecting the game), certain cards may be designated wild cards. A wild card stands for any other card its holder wishes to name. There are many methods of introducing wild cards into the game. The most popular are:

  1. Joker. A 53-card pack is used, including the joker as a wild card.
  2. Bug. The same 53-card pack including the joker is used, but the joker—here called the bug—counts only as a fifth ace or to fill a flush [a series of five cards of the same suit], a straight, or certain special hands.
  3. Deuces wild. All four deuces (2s) are wild cards.
  4. One-eyes. In the standard pack the king of diamonds, jack of spades, and jack of hearts are the only cards shown in profile. They are often designated as wild cards.

Rank of poker hands

The rank of standard poker hands is determined by their odds (probability). Two or more identical hands tie and divide any winning equally. The suits have no relative rank in poker. When there is any wild card in the game, the highest possible hand is five of a kind, which beats any straight flush. When there are several wild cards, there may be identical fours of a kind or threes of a kind, in which case ties are broken by the highest unmatched cards or secondary pairs (in a full house [a five-card hand made up of three of a kind and a pair]).

Poker odds
poker handnumber of ways the hand can be madeapproximate odds of getting the hand in five cards
royal flush41 in 649,740.00
straight flush361 in 72,193.33
four of a kind6241 in 4,165.00
full house3,7441 in 694.16
flush5,1081 in 508.80
straight10,2001 in 254.80
three of a kind54,9121 in 47.32
two pairs123,5521 in 21.03
one pair1,098,2401 in 2.36
no pair1,302,5401 in 1.99

Deal

At the start of the game, any player takes a pack of cards and deals them in rotation to the left, one at a time faceup, until a jack appears. The player receiving that card becomes the first dealer. The turn to deal and the turn to bet always pass to the left from player to player. For each deal, any player may shuffle the cards, the dealer having the last right to shuffle. The dealer must offer the shuffled pack to the opponent to the right for a cut. If that player declines to cut, any other player may cut.

A professional dealer is used in poker clubs, casinos, and tournament play, where a round disc (known as a dealer button) is passed clockwise each hand to indicate the nominal dealer for betting purposes. Also, such environments almost invariably charge the players either by setting an hourly rental fee for their seats or by “raking” a small percentage (say, 5 percent) from each pot.

Betting procedure

In each deal there are one or more betting intervals according to the specific poker variant. In each betting interval, one player, as designated by the rules of the variant being played, has the privilege or obligation of making the first bet. This player and each player in turn after him must place in the pot the number of chips (representing money, for which poker is almost invariably played) to make his total contribution to the pot at least equal to the total contribution of the player before him. When a player does this, he is said to be in the pot, or an active player. If a player declines to do this, he discards his hand and is said to drop or fold, and he may no longer compete for the pot.

Poker Hands Flush Tie Tool

Before the deal, each player may be required to make a contribution to the pot, called an ante. In each betting interval, the first player to make a bet is said to bet, a player who exactly meets the previous bet is said to call, and a player who bets more than the previous bettor is said to raise. In some variants, a player is permitted to check, which is to stay in without betting, provided no other player has made a bet in that betting interval. Since a player cannot raise his own bet, each betting interval ends when the betting turn has returned to the person who made the last raise or when all players have checked.

At the end of each betting interval except the last, dealing is resumed. At the end of the last betting interval, there is the “showdown,” in which each active player shows his full hand, and the highest-ranking hand wins the pot.

Betting limits

There are “no-limit” or “sky’s-the-limit” games, but in practice most poker games place some limit on what one may bet in any game. There are three popular methods.

Fixed limit

In fixed-limit games, no one may bet or raise by more than the established limit. In draw poker the limit is usually twice as much after the draw as before—for example, two chips before the draw, four chips after. In stud poker the limit is usually twice as much in the final betting interval as in previous betting intervals. (The higher limit applies also when any player’s exposed cards include a pair.) These respective forms of the game are described below. In a fixed-limit game a limit is usually placed on the number of raises that may be made in any betting interval.

Pot limit

In pot-limit contests, a player may bet or raise by no more than the amount in the pot at the time the bet or raise is made. When raising, the player may first put in the pot the number of chips required to call the previous bet and then raise by the number of chips in the pot. When pot limit is played, it is customary also to place a maximum limit on any bet or raise, regardless of the size of the pot.

Table stakes

Poker Hands Flush Tie

This method most closely approximates the no-limit game. Each player’s limit is the number of chips he has on the table at the beginning of the deal. He may not bet more, but for this amount he may call any higher bet (go “all in”) and compete for the pot in the showdown. Other players having more chips may continue to bet, but their further bets go into one or more side pots in the manner decided among the players who contributed fully to the side pot. When a player drops out of any side pot, he drops out of the original pot as well, in effect surrendering his rights in the original pot to the player whose later bet he did not call. Thus, there may be different winners of the main pot and various side pots.

Quick Facts
key people
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Knowing what beats what in poker or Texas Hold’em is an important early step in learning the game. To help you out, I have provided for you an attractive printable or downloadable “cheat sheet” for both 5 card hand rankings as well as top 24 pre-flop starting hands.

Poker hands ranked from best to worst:

  1. Royal Flush
  2. Straight Flush
  3. Four of a Kind
  4. Full House
  5. Flush
  6. Straight
  7. Three of a Kind
  8. Two Pair
  9. One Pair
  10. High Card

To make things easier on you, I have included some handy charts that can be used to reference during play or even printed out.

Poker Hand Rankings Chart

Never forget what beats what again. Feel free to save this to your phone/tablet/computer or print the chart out.

Click below to download a high-quality PDF that includes a printable copy of both the showdown and pre-flop hand rankings.

The Top 24 Hold’Em Starting Hand Rankings

To help you out, I have also included the top 24 no-limit hold’em starting hands to give you a further idea of what beats what in poker. I based this list on both raw equities as well as post-flop playability.

I have used over 10 years of experience in both tournaments and cash games to compile this info. You get to benefit from my hard work!

How These Hands Were Determined

I took a look at a few of the pre-flop hand ranking charts out there and, while most appeared to get it right for the most part, there seemed to be something off.

The thing is, everyone always does pretty well on the top 5 or 6 hands. However, after that things get a bit murkier.

So, what really matters when it comes to weighing hand strength? I decided to take a close look at the problem. Using the knowledge I’ve gained over the past few years, I tried to come up with a better way of codifying hand rankings.

Determining the Overall Playability of Each Hand

I decided to go about it from a logical standpoint. When deciding whether to play a hand or not, what are the factors a strong player considers before acting?

So, I decided that there are basically two main factors to consider in determining the strength of a particular pre-flop hand. And, since equity is the tool we use to rank the value of hands I just had to figure out what type of equities matter most and then apply it to each factor.

Once I was able to define which equities to consider, it just took a bit of math.

1. Pre-Flop Equity

The first equity I decided to factor in is a hand’s raw pre-flop equity. I mean, sometimes you need to get all-in before the flop, right?

Of course, some hands will get all-in more frequently than others but for the sake of simplicity, raw equity against a strong range will give us a decent enough metric to come up with a comparative ranking.

2. Post-Flop Equity

Secondly, we need to factor in how a hand does post-flop. There’s no doubt, that certain hands play much better after the flop than others.

To calculate how well a hand does after the flop I looked at what post-flop hands tend to get all-in most of the time in a post-flop scenario. This includes the strongest made hands, including top pair and better, as well as strong draws.

Once I was able to figure out what hands are likely to get all-in, I just had to figure out the equity of every hand versus that range on a random flop.

Compiling the Final List

Doing these kinds of calculations by hand would be extremely difficult and time-consuming. Luckily, there is a software program called Cardrunner’s EV that does the math for me.

After I figured out both the raw pre-flop equity and the likely flop equity of each hand, I just used excel to average them. That data was used to compile the rankings.

Here are the final equity percentages:

Which Poker Starting Hand Ranges Should I Use?

Knowing which hands to open raise is important to your success. Don’t worry, I’ve got you covered.

Free Basic Poker Strategy Charts

I have built charts that provide you profitable opening ranges from every position. As a bonus, the charts also include what to do at every decision point possible for playing a 20 to 40 big blind stack.

Just provide the following info, subscribe to my spam-free newsletter, and I will email you the charts along with the comprehensive 10-page strategy guide for free!

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The guide will give you an excellent starting point for playing No-Limit Texas Hold’em and will get you off on the right foot by allowing you to play fundamentally sound poker right now!

FAQ

What if my opponent and I have the same hand at showdown?

If more than one player has the same hand then you have to follow the tie-breaker rules to determine the winner.

If two or more players have a flush or straight

In the case where two players have a flush or straight, the person who has the highest card in their hand wins. For example, T9876 beats 76543.

If two or more players have a full house

In the case of multiple full houses, the player with the highest “trips” as part of their full house wins. For example, TTT22 beats 555AA.

What if two or more players have the same pair or two pair?

If multiple players have exactly the same two pair, the highest kicker is used to determine the winner. For example, JJ66Q beats JJ66T.

The same process is used for one-pair. The next highest kicker is used. If that is the same, you use the next highest kicker. So on and so forth until the tie is broken. For example, AAK85 beats AAK84.

Who wins if more than one person has the same high card?

Similarly to one pair and two-pair hands, you use the next highest kicker to determine the winner. You keep moving on to the next kicker until a winner is determined. For example, KT763 beats KT753.

Which is better, trips or two-pair?

Three of a kind beats two-pair. It also beats a pair and high card.

Poker Hands Flush Tie Kit

Which is better, a flush or a straight?

A flush beats a straight. It also beats three of a kind, two pair, a pair, and high card.

What is the worst hand in poker?

The worst hand against multiple players is 72 offsuit. The worst hand heads-up is 32o.

What are the odds of getting a Royal Flush in Texas Hold’em?

Highest Royal Flush Poker Hand

A royal flush is extremely rare. You can only expect to get a royal flush once every 650,000 hands. That doesn’t mean it’s guaranteed. Personally, I have played well over 5 million hands and have only had one royal using both cards.

Poker Hands Flush Tie Down

Final Thoughts

Poker Hands Flush Straight

I hope this article has helped you learn more about how hand rankings work in poker. If you want to learn about basic poker strategy, be sure to check out my detailed no-limit hold’em basic tutorial.