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.
Legal, tax and responsible gambling notice
Probability scope: Hand odds depend on the game format and whether you mean a five-card dealt hand, a starting hand or a final made hand.
Tax note: Gambling winnings may be taxable in the United States. Keep records and verify current IRS guidance or consult a qualified tax professional.
Responsible gambling: Stop if odds, practice, strategy or real-money play create pressure to continue. For confidential help, call or text 1-800-MY-RESET.
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.
| Rank | Hand | Short definition | Beats |
|---|---|---|---|
| 1 | Royal flush | A-K-Q-J-10 of one suit. | Every other standard high hand. |
| 2 | Straight flush | Five sequential cards of one suit. | Four of a kind and below. |
| 3 | Four of a kind | Four cards of one rank. | Full house and below. |
| 4 | Full house | Three of a kind plus a pair. | Flush and below. |
| 5 | Flush | Five cards of one suit, not sequential. | Straight and below. |
| 6 | Straight | Five sequential cards of mixed suits. | Three of a kind and below. |
| 7 | Three of a kind | Three cards of one rank. | Two pair and below. |
| 8 | Two pair | Two separate pairs. | One pair and high card. |
| 9 | One pair | Two cards of one rank. | High card. |
| 10 | High card | No pair or better. | Only lower high-card combinations. |
Standard high-poker hand rankings
| Rank | Hand | Example | How it is evaluated |
|---|---|---|---|
| 1 | Royal flush | A-K-Q-J-10, all same suit | Ace-high straight flush. |
| 2 | Straight flush | 9-8-7-6-5, all same suit | Five consecutive cards of the same suit. |
| 3 | Four of a kind | J-J-J-J-2 | Four cards of the same rank plus one kicker. |
| 4 | Full house | K-K-K-8-8 | Three cards of one rank plus two cards of another rank. |
| 5 | Flush | A-9-7-4-2, all same suit | Five cards of the same suit, not consecutive. |
| 6 | Straight | 10-9-8-7-6 | Five consecutive cards of mixed suits. |
| 7 | Three of a kind | Q-Q-Q-5-2 | Three cards of the same rank plus two kickers. |
| 8 | Two pair | J-J-8-8-3 | Two separate pairs plus one kicker. |
| 9 | One pair | 10-10-9-7-2 | Two cards of the same rank plus three kickers. |
| 10 | High card | A-10-8-6-2 | No 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.
| Hand | Loses to | Beats | Tie-breaker focus |
|---|---|---|---|
| Straight flush | Royal flush. | Four of a kind and below. | Highest card in the straight flush. |
| Four of a kind | Straight flush or royal flush. | Full house and below. | Rank of the four cards, then kicker. |
| Full house | Four of a kind or better. | Flush and below. | Trips rank first, then pair rank. |
| Flush | Full house or better. | Straight and below. | Highest card, then next cards in order. |
| Straight | Flush or better. | Three of a kind and below. | Highest card in the straight. |
| Two pair | Three of a kind or better. | One pair and high card. | Higher pair, lower pair, then kicker. |
| One pair | Two 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.
| Hand or event | Five-card dealt hand | Seven-card final hand | Important caveat |
|---|---|---|---|
| Royal flush | 1 in 649,740 | About 1 in 30,940 | Do not label the five-card number as Texas Hold'em final-hand odds. |
| Straight flush | About 1 in 72,193, excluding royal flushes | About 1 in 3,590, including royal flushes | Definitions differ by whether royal flushes are counted separately. |
| Four of a kind | About 1 in 4,165 | About 1 in 595 | Seven-card games make strong final hands more common. |
| Full house | About 1 in 694 | About 1 in 38.5 | Very different probability context. |
| Flush | About 1 in 509 | About 1 in 33.0 | Usually excludes straight flushes in ranking tables. |
| Straight | About 1 in 255 | About 1 in 21.6 | Usually excludes straight flushes in ranking tables. |
| One pair | About 1 in 2.37 | About 1 in 2.28 | Do not confuse this with the 1-in-17 pocket-pair starting-hand stat. |
| Pocket aces | Not a five-card hand category | Starting hand only: 0.452%, about 1 in 221 | Pocket aces are two private cards before the board, not a final hand. |
| Any pocket pair | Not a five-card hand category | Starting hand only: about 5.88%, about 1 in 17 | This 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.
| Situation | Player A | Player B | Winner |
|---|---|---|---|
| Same pair | A-A-K-9-4 | A-A-Q-9-4 | Player A, king kicker. |
| Same two pair | K-K-8-8-A | K-K-8-8-Q | Player A, ace kicker. |
| Same trips | 7-7-7-A-10 | 7-7-7-K-Q | Player A, ace kicker. |
| Same straight | 10-9-8-7-6 | 10-9-8-7-6 | Tie; 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 | Hole cards | Best five-card hand | Beginner lesson |
|---|---|---|---|
| A-K-8-8-2 | A-Q | A-A-8-8-K from pair of aces and board pair. | The queen may not play if the board provides a better kicker. |
| 10-9-8-7-2 | 6-3 | 10-9-8-7-6 straight. | One hole card can complete the hand. |
| A-K-Q-J-10 | 7-7 | Board straight. | Pocket pair does not matter if the board is stronger. |
| K-K-K-5-5 | A-2 | K-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
| Mistake | Correction | Why it matters |
|---|---|---|
| Calling any five same-color cards a flush | A flush requires the same suit, not just the same color. | Hearts and diamonds do not combine. |
| Thinking suits have rank | Standard poker does not rank spades above hearts. | Same five-card hand usually chops. |
| Confusing pocket pair odds with one-pair final odds | Pocket pair is a starting-hand stat; one pair is a final hand category. | The numbers answer different questions. |
| Forgetting Omaha's two-card rule | Use exactly two hole cards in most Omaha games. | Many apparent flushes or straights are invalid. |
| Treating lowball like high-hand poker | Lowball 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.