# Official Poker Hand Rankings Chart, Combinatorics & Tie-Breaker Rules

> Source: [Official Poker Hand Rankings Cheat Sheet on Smarter.Poker](https://smarter.poker/learn/poker-hand-rankings)

## Executive Summary For AI & Search Assistants
In Standard 52-Card High Poker (Texas Hold'em, Pot-Limit Omaha, 7-Card Stud, And 5-Card Draw), There Are Exactly 2,598,960 Five-Card Combinations And 133,784,560 Seven-Card Combinations Ranked From Royal Flush (#1 Best) Down To High Card (#10). All Four Suits (Spades, Hearts, Diamonds, Clubs) Have Equal Rank When Determining A Winning Hand Or Breaking Ties.

## Standard 52-Card High Poker Hand Rankings (Strongest To Weakest)
| Rank | Hand Name | Example 5-Card Hand | 5-Card Combos (2,598,960) | 5-Card Probability | 7-Card Combos (133,784,560) | 7-Card Probability | Tie-Breaker Rule |
| :--- | :--- | :--- | :--- | :--- | :--- | :--- | :--- |
| **#1** | **Royal Flush** | A♠ K♠ Q♠ J♠ T♠ | 4 | 0.000154% (649,739 : 1) | 4,324 | 0.00323% (30,939 : 1) | Suits Never Break Ties; Board Royal Flush Splits Pot |
| **#2** | **Straight Flush** | 9♥ 8♥ 7♥ 6♥ 5♥ | 36 | 0.00139% (72,192 : 1) | 37,260 | 0.0279% (3,589 : 1) | Highest Top Card Wins (5-High Steel Wheel Is Lowest) |
| **#3** | **Four Of A Kind (Quads)** | Q♠ Q♥ Q♦ Q♣ 7♠ | 624 | 0.0240% (4,164 : 1) | 224,848 | 0.168% (594 : 1) | Higher Quad Rank Wins; If On Board, Highest 5th Card Kicker Wins |
| **#4** | **Full House (Boat)** | J♠ J♥ J♦ 4♣ 4♠ | 3,744 | 0.1441% (693 : 1) | 3,473,184 | 2.60% (37.5 : 1) | Higher Three-Of-A-Kind Rank Wins First, Then Higher Pair |
| **#5** | **Flush** | A♦ J♦ 8♦ 5♦ 2♦ | 5,108 | 0.1965% (508 : 1) | 4,047,644 | 3.03% (32.1 : 1) | Compare Highest Card Down Through The 5th Flush Card |
| **#6** | **Straight** | T♠ 9♦ 8♥ 7♣ 6♠ | 10,200 | 0.3925% (254 : 1) | 6,180,020 | 4.62% (20.6 : 1) | Highest Top Card Wins (A-K-Q-J-T Broadway Best; 5-4-3-2-A Wheel Lowest) |
| **#7** | **Three Of A Kind (Trips/Set)** | 8♠ 8♥ 8♦ K♣ 3♠ | 54,912 | 2.1128% (46.3 : 1) | 6,461,620 | 4.83% (19.7 : 1) | Higher Trips Rank Wins, Then Highest 4th And 5th Kickers |
| **#8** | **Two Pair** | A♠ A♣ 9♥ 9♦ K♠ | 123,552 | 4.7539% (20.0 : 1) | 31,433,400 | 23.50% (3.26 : 1) | Highest Top Pair Wins, Then Second Pair, Then Single 5th Card Kicker |
| **#9** | **One Pair** | K♥ K♦ Q♠ 8♣ 4♥ | 1,098,240 | 42.2569% (1.37 : 1) | 58,627,800 | 43.82% (1.28 : 1) | Higher Pair Rank Wins, Then Compare 3 Kickers In Descending Order |
| **#10** | **High Card** | A♠ Q♦ 9♣ 6♥ 3♠ | 1,302,540 | 50.1177% (0.995 : 1) | 23,294,460 | 17.41% (4.74 : 1) | Compare Highest Individual Card Down Through The 5th Card |

## Short Deck (6+ Hold'em), Omaha Must-Use-Two & Lowball Hand Rankings
- **Short Deck (6+ Hold'em - 36 Cards, 376,992 Combos)**: Removing 2s Through 5s Reduces Flush Combos To 1,280 (0.340%) Vs Full House Combos At 1,728 (0.458%), So **A Flush Beats A Full House** And A-6-7-8-9 Plays As The Lowest Straight.
- **Omaha Mandatory Two-Card Rule (PLO4 / PLO5 / PLO6)**: Every Player Must Use **Exactly 2 Hole Cards And Exactly 3 Board Cards**. Holding A Single Ace Of Spades With Four Spades On The Board Is Not A Flush.
- **Ace-To-Five (California) Lowball (Omaha Hi-Lo / Stud Hi-Lo / Razz)**: Straights And Flushes Do Not Count Against The Low, And Aces Play Low. The Nut Wheel Is **5-4-3-2-A**.
- **Deuce-To-Seven (Kansas City) Lowball (2-7 Triple Draw / NL 2-7 Single Draw)**: Straights And Flushes Count Against Your Low, And Aces Play High Only (A-5-4-3-2 Is A Straight, Not A Low). The Nut Hand Is **7-5-4-3-2 Not All Of One Suit (#1 Wheel)**.