Full House (Full Boat)
Three cards of one rank plus two cards of another rank. Example: K♠K♥K♦9♠9♥. Beats: Flush, Straight, Three of a Kind, Two Pair, One Pair, High Card. NOTE: Full House (3,744 combos) IS rarer than Flush (5,108 combos) and therefore ranks higher in standard poker. It appears in 3,744 of all 2,598,960 five-card combos (0.1441%, odds against 693.2 : 1), ranking 4 of 10 by strength.
| Example | K♠K♥K♦9♠9♥ |
|---|---|
| Strength rank | 4 / 10 |
| Combinations | 3,744 (out of 2,598,960 five-card hands) |
| Probability | 0.1441% |
| Odds against | 693.2 : 1 |
| Beats | Flush、Straight、Three of a Kind (Trips / Set)、Two Pair、One Pair、High Card |
| Loses to | Royal Flush、Straight Flush、Four of a Kind (Quads) |
Figures from lib/poker-math.ts (deterministic)
About this hand
In Texas Hold’em, a full house—three cards of one rank and a pair of another—is a formidable hand. Among the **2,598,960** possible five-card combinations, only **3,744** qualify as full houses, underscoring its rarity. According to standard hand rankings, a full house holds the 4th position out of 10 (with 1 being the strongest). It surpasses flushes, straights, three of a kind, two pair, one pair, and high card but is defeated by royal flushes, straight flushes, and four of a kind. This placement highlights its strength while clarifying the limited hands that still dominate it.