Poker hands - probability context - math reviewed

Poker Hand Rankings: Chart, Examples and Probability Caveats

Learn the standard high-poker hand order from royal flush to high card, with examples, tie-breakers and clear probability context. Five-card dealt-hand odds are different from Texas Hold'em final-hand odds.

Educational and math-review disclosure

Written by Michael Johnson. Math reviewed by Sarah Roberts. This page explains hand rankings and probability context. It does not recommend gambling as a way to make money.

Quick answer

Standard high-poker hands rank from royal flush down to high card. The order is royal flush, straight flush, four of a kind, full house, flush, straight, three of a kind, two pair, one pair and high card.

Always check the context behind any probability number. A five-card dealt-hand chart is not the same as a Texas Hold'em final hand made from seven available cards, and a starting-hand stat such as pocket aces is a separate preflop measurement.

Printable-style quick chart

This compact chart is written for quick scanning before you move into examples and caveats. It uses standard high-hand poker, not lowball or Short Deck exceptions.

Quick poker hand chart from strongest to weakest
RankHandShort definitionBeats
1Royal flushA-K-Q-J-10 of one suit.Every other standard high hand.
2Straight flushFive sequential cards of one suit.Four of a kind and below.
3Four of a kindFour cards of one rank.Full house and below.
4Full houseThree of a kind plus a pair.Flush and below.
5FlushFive cards of one suit, not sequential.Straight and below.
6StraightFive sequential cards of mixed suits.Three of a kind and below.
7Three of a kindThree cards of one rank.Two pair and below.
8Two pairTwo separate pairs.One pair and high card.
9One pairTwo cards of one rank.High card.
10High cardNo pair or better.Only lower high-card combinations.

Standard high-poker hand rankings

Standard high-poker hand rankings from strongest to weakest
RankHandExampleHow it is evaluated
1Royal flushA-K-Q-J-10, all same suitAce-high straight flush.
2Straight flush9-8-7-6-5, all same suitFive consecutive cards of the same suit.
3Four of a kindJ-J-J-J-2Four cards of the same rank plus one kicker.
4Full houseK-K-K-8-8Three cards of one rank plus two cards of another rank.
5FlushA-9-7-4-2, all same suitFive cards of the same suit, not consecutive.
6Straight10-9-8-7-6Five consecutive cards of mixed suits.
7Three of a kindQ-Q-Q-5-2Three cards of the same rank plus two kickers.
8Two pairJ-J-8-8-3Two separate pairs plus one kicker.
9One pair10-10-9-7-2Two cards of the same rank plus three kickers.
10High cardA-10-8-6-2No pair or better; highest card breaks ties.

What beats what matrix

Use this matrix when the question is not how rare a hand is, but which category wins at showdown. The matrix assumes standard high-hand poker.

Common poker hand comparison matrix
HandLoses toBeatsTie-breaker focus
Straight flushRoyal flush.Four of a kind and below.Highest card in the straight flush.
Four of a kindStraight flush or royal flush.Full house and below.Rank of the four cards, then kicker.
Full houseFour of a kind or better.Flush and below.Trips rank first, then pair rank.
FlushFull house or better.Straight and below.Highest card, then next cards in order.
StraightFlush or better.Three of a kind and below.Highest card in the straight.
Two pairThree of a kind or better.One pair and high card.Higher pair, lower pair, then kicker.
One pairTwo pair or better.High card.Pair rank, then three kickers.

Probability context: five-card hands vs Texas Hold'em final hands

Poker probability depends on what you are measuring. A five-card dealt hand is not the same as a Texas Hold'em final hand made from seven available cards. A starting-hand statistic, such as pocket aces, is a third context.

Standard high-poker hand probabilities by context
Hand or eventFive-card dealt handSeven-card final handImportant caveat
Royal flush1 in 649,740About 1 in 30,940Do not label the five-card number as Texas Hold'em final-hand odds.
Straight flushAbout 1 in 72,193, excluding royal flushesAbout 1 in 3,590, including royal flushesDefinitions differ by whether royal flushes are counted separately.
Four of a kindAbout 1 in 4,165About 1 in 595Seven-card games make strong final hands more common.
Full houseAbout 1 in 694About 1 in 38.5Very different probability context.
FlushAbout 1 in 509About 1 in 33.0Usually excludes straight flushes in ranking tables.
StraightAbout 1 in 255About 1 in 21.6Usually excludes straight flushes in ranking tables.
One pairAbout 1 in 2.37About 1 in 2.28Do not confuse this with the 1-in-17 pocket-pair starting-hand stat.
Pocket acesNot a five-card hand categoryStarting hand only: 0.452%, about 1 in 221Pocket aces are two private cards before the board, not a final hand.
Any pocket pairNot a five-card hand categoryStarting hand only: about 5.88%, about 1 in 17This is where the common 1-in-17 number belongs.

Hand-by-hand mini cards

Kicker examples

Kickers are side cards used when players share the same hand category and main rank. They are a common source of beginner mistakes in Hold'em because the board can supply some or all of the final five cards.

Kicker examples for common poker ties
SituationPlayer APlayer BWinner
Same pairA-A-K-9-4A-A-Q-9-4Player A, king kicker.
Same two pairK-K-8-8-AK-K-8-8-QPlayer A, ace kicker.
Same trips7-7-7-A-107-7-7-K-QPlayer A, ace kicker.
Same straight10-9-8-7-610-9-8-7-6Tie; same five-card hand.

Texas Hold'em board examples

In Hold'em, each player can use any combination of hole cards and board cards to make the best five-card hand. Sometimes both hole cards play. Sometimes one plays. Sometimes the board alone decides the pot.

Board examples for reading Texas Hold'em hands
BoardHole cardsBest five-card handBeginner lesson
A-K-8-8-2A-QA-A-8-8-K from pair of aces and board pair.The queen may not play if the board provides a better kicker.
10-9-8-7-26-310-9-8-7-6 straight.One hole card can complete the hand.
A-K-Q-J-107-7Board straight.Pocket pair does not matter if the board is stronger.
K-K-K-5-5A-2K-K-K-5-5 full house.Shared board can create a chopped pot.

Omaha caveats

Omaha is a frequent trap for players who learned Hold'em first. In most Omaha formats, you must use exactly two hole cards and exactly three board cards. Having one suited ace in your hand does not make a flush if you cannot combine exactly two hole cards with exactly three board cards.

Omaha card-use warning

Do not read Omaha boards with Hold'em shortcuts. Count exactly two private cards and exactly three board cards before deciding whether you have a straight, flush, full house or blocker.

Lowball, Hi-Lo and Short Deck caveats

  • Razz: low hand wins; standard high-hand order is not the goal.
  • 2-7 lowball: straights and flushes can count against the hand, and aces are usually high.
  • A-5 lowball: straights and flushes may be ignored, depending on the exact game.
  • Hi-Lo games: the pot can split between high and qualifying low hands.
  • Short Deck: some rooms rank flush above full house because the deck is reduced. Always verify the table rules.

Common hand-ranking mistakes

Common hand-ranking mistakes and corrections
MistakeCorrectionWhy it matters
Calling any five same-color cards a flushA flush requires the same suit, not just the same color.Hearts and diamonds do not combine.
Thinking suits have rankStandard poker does not rank spades above hearts.Same five-card hand usually chops.
Confusing pocket pair odds with one-pair final oddsPocket pair is a starting-hand stat; one pair is a final hand category.The numbers answer different questions.
Forgetting Omaha's two-card ruleUse exactly two hole cards in most Omaha games.Many apparent flushes or straights are invalid.
Treating lowball like high-hand pokerLowball reverses or changes the hand goal.The best high hand may be irrelevant.

Practice hand recognition carefully

Practice tools can help you recognize hand types, kickers and board ties. They cannot guarantee real-money results, remove variance or prove that a strategy will win.

A useful practice session should ask: what is the best five-card hand, which cards actually play, what stronger hands are possible and whether the variant changes the rule. It should not encourage confidence that a short run of results predicts future outcomes.

Common questions

What is the best hand in standard poker?

A royal flush is the strongest standard high-poker hand. Lowball games use different goals, so always check the variant rules.

Is a royal flush 1 in 649,740 in Texas Hold'em?

That number is for a five-card dealt hand. A Texas Hold'em final hand is made from seven available cards, so the final-hand probability is different.

How often are pocket aces dealt?

Pocket aces are dealt preflop about 0.452% of the time, or about 1 in 221 starting hands.

Does a flush always beat a straight?

In standard high-hand poker, yes. Short Deck or special house rules can differ, so verify the table rules.

Do hand rankings always stay the same?

Standard high-hand rankings are stable across many games, but Razz, lowball, Hi-Lo and some Short Deck rules can change the goal or hand order.