5-Card Poker Hand Odds (Standard Deck)
A poker calculator evaluates the strength of a 5-card hand according to poker hand rankings, or calculates the probability of winning against other possible hands. Hand strength is deterministic — a royal flush always beats a full house.
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Tip: In Texas Hold'em, the rule of 2 and 4: count your outs (cards that complete your hand). After the flop with 2 cards to come: outs × 4 ≈ probability %. After the turn: outs × 2 ≈ probability %.
- 1Rank hands from highest to lowest: Royal Flush → Straight Flush → Four of a Kind → Full House → Flush → Straight → Three of a Kind → Two Pair → Pair → High Card
- 2Texas Hold'em: best 5-card hand from 7 cards (2 hole + 5 community)
- 3Probability of being dealt each hand in 5-card poker
| Hand | Combinations | Probability |
|---|---|---|
| Royal Flush | 4 | 0.000154% |
| Straight Flush | 36 | 0.00139% |
| Four of a Kind | 624 | 0.0240% |
| Full House | 3,744 | 0.144% |
| Flush | 5,108 | 0.197% |
| Straight | 10,200 | 0.392% |
| Three of a Kind | 54,912 | 2.11% |
| Two Pair | 123,552 | 4.75% |
| One Pair | 1,098,240 | 42.3% |
| High Card | 1,302,540 | 50.1% |
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Fun Fact
There are 2,598,960 possible 5-card hands from a standard deck (C(52,5)). A royal flush occurs about once every 649,740 deals. If you played 100 hands per hour, you'd see one roughly every 90 years.
References
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