Poker Hands Probability — Complete Reference Table (2026)
PokerHands.Shop Probability Reference: The tables below cover every standard Texas Hold'em hand — 5-card deal probabilities, 7-card (Hold'em) probabilities, exact combination counts, and odds ratios. Data compiled from combinatorial analysis of a standard 52-card deck. All figures verified against 2,598,960 total possible 5-card combinations.
The PokerHands.Shop Complete Poker Hand Probability Index
This page is the most comprehensive single-page probability reference for Texas Hold'em poker hands on the web. Every figure is derived from combinatorial mathematics using a standard 52-card deck. Bookmark it as your definitive reference — or download our free printable poker hands chart to keep the rankings at the table.
New — interactive version: These tables show how often each hand occurs. To see how often your hand wins a real pot, try our free poker odds calculator — pick your cards and get instant win probabilities against up to five opponents, plus pot-odds advice.
Table 1 — All 10 Hands: Combinations, Probability & Odds (5-Card Deal)
| Rank | Hand | Combinations | Probability | Odds (1 in X) | Frequency |
|---|---|---|---|---|---|
| 1 | Royal Flush | 4 | 0.000154% | 1 in 649,739 | Extremely rare |
| 2 | Straight Flush (excl. Royal) | 36 | 0.00139% | 1 in 72,193 | Extremely rare |
| 3 | Four of a Kind | 624 | 0.0240% | 1 in 4,165 | Very rare |
| 4 | Full House | 3,744 | 0.1441% | 1 in 694 | Rare |
| 5 | Flush (excl. Straight Flush) | 5,108 | 0.1965% | 1 in 509 | Rare |
| 6 | Straight (excl. Straight Flush) | 10,200 | 0.3925% | 1 in 255 | Uncommon |
| 7 | Three of a Kind | 54,912 | 2.1128% | 1 in 47 | Occasional |
| 8 | Two Pair | 123,552 | 4.7539% | 1 in 21 | Common |
| 9 | One Pair | 1,098,240 | 42.2569% | 1 in 2.4 | Very common |
| 10 | High Card | 1,302,540 | 50.1177% | 1 in 2.0 | Most common |
| — | Total | 2,598,960 | 100% | — | — |
Source: PokerHands.Shop Probability Index. Calculated from C(52,5) = 2,598,960 total 5-card combinations.
Table 2 — Texas Hold'em 7-Card Probabilities
In Texas Hold'em you use the best 5 cards from 7 available (2 hole cards + 5 community cards). This changes the probabilities significantly — strong hands become more likely because you have more cards to work with.
| Hand | 7-Card Combinations | Probability | Odds (1 in X) | vs. 5-Card |
|---|---|---|---|---|
| Royal Flush | 4,324 | 0.0032% | 1 in 30,940 | 21× more likely |
| Straight Flush (excl. Royal) | 37,260 | 0.0279% | 1 in 3,590 | 20× more likely |
| Four of a Kind | 224,848 | 0.168% | 1 in 595 | 7× more likely |
| Full House | 3,473,184 | 2.60% | 1 in 38 | 18× more likely |
| Flush | 4,047,644 | 3.03% | 1 in 33 | 15× more likely |
| Straight | 6,180,020 | 4.62% | 1 in 22 | 12× more likely |
| Three of a Kind | 6,461,620 | 4.83% | 1 in 21 | 2.3× more likely |
| Two Pair | 31,433,400 | 23.5% | 1 in 4.3 | 5× more likely |
| One Pair | 58,627,800 | 43.8% | 1 in 2.3 | Similar |
| High Card | 23,294,460 | 17.4% | 1 in 5.7 | 3× less likely |
Source: PokerHands.Shop Probability Index. Calculated from C(52,7) = 133,784,560 total 7-card combinations.
Table 3 — Flush vs. Straight: Why Flush Ranks Higher
| Hand | 5-Card Combinations | 7-Card Combinations | Rank |
|---|---|---|---|
| Flush | 5,108 | 4,047,644 | #5 (higher) |
| Straight | 10,200 | 6,180,020 | #6 (lower) |
| Ratio | Straights are 1.996× more common than flushes in a 5-card deal | Flush wins | |
Full guide: does a flush beat a straight.
Table 4 — Royal Flush Probability by Format
| Game Format | Probability | Odds | At 30 hands/hour |
|---|---|---|---|
| 5-card draw (dealt) | 0.000154% | 1 in 649,739 | Once every 21,658 hours |
| Texas Hold'em (7-card) | 0.0032% | 1 in 30,940 | Once every 1,031 hours |
| Online poker (100 hands/hr) | 0.0032% | 1 in 30,940 | Once every 309 hours |
| Omaha (9 cards, best 5) | ~0.0071% | ~1 in 14,000 | Once every 467 hours |
Table 5 — Full House Combinations Breakdown
| Component | Ways to Choose | Combinations |
|---|---|---|
| Three-of-a-kind rank | 13 ranks × C(4,3) = 52 | 52 |
| Pair rank (different from trips) | 12 remaining ranks × C(4,2) = 72 | 72 |
| Total full house combinations | 52 × 72 | 3,744 |
| Best full house | A-A-A-K-K (aces full of kings) | |
| Worst full house | 2-2-2-3-3 (twos full of threes) | |
Table 6 — Starting Hand Probabilities (Pre-Flop, Texas Hold'em)
| Starting Hand Type | Combinations | Probability | Odds |
|---|---|---|---|
| Pocket Aces (A-A) | 6 | 0.45% | 1 in 221 |
| Any specific pocket pair (e.g. K-K) | 6 | 0.45% | 1 in 221 |
| Any pocket pair | 78 | 5.88% | 1 in 17 |
| Ace-King suited (AKs) | 4 | 0.30% | 1 in 331 |
| Any two suited cards | 312 | 23.5% | 1 in 4.3 |
| Any two connected cards | 192 | 14.5% | 1 in 6.9 |
| Any ace | 296 | 22.3% | 1 in 4.5 |
How to Use This Data
- Why does flush beat straight? Table 3: straights are 1.996× more common. Full article: flush vs straight
- How rare is a Royal Flush? Table 4: once every 1,031 hours at a live table. Full article: what is a Royal Flush
- What beats a full house? Table 1: only 3 hands — Four of a Kind (624 combinations), Straight Flush (36), Royal Flush (4). Full article: what beats a full house
- All poker hands in order: complete ranked guide with examples
- What are my odds with these exact cards? Try the free interactive poker odds calculator — live win probabilities for any hand, board, and number of opponents
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