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Four of a Kind (Quads)

Four cards of the same rank plus any fifth card (kicker). Example: K♠K♥K♦K♣8♠. Beats: Full House, Flush, Straight, Three of a Kind, Two Pair, One Pair, High Card. It appears in 624 of all 2,598,960 five-card combos (0.0240%, odds against 4164.0 : 1), ranking 3 of 10 by strength.

ExampleK♠K♥K♦K♣8♠
Strength rank3 / 10
Combinations624 (out of 2,598,960 five-card hands)
Probability0.0240%
Odds against4164.0 : 1
BeatsFull House (Full Boat)、Flush、Straight、Three of a Kind (Trips / Set)、Two Pair、One Pair、High Card
Loses toRoyal Flush、Straight Flush

Figures from lib/poker-math.ts (deterministic)

About this hand

Four of a Kind, also known as quads, consists of four cards of the same rank and one unrelated kicker. In the 2,598,960 possible five-card poker combinations, exactly 624 form Four of a Kind. This hand ranks 3 out of 10 in strength, where 1 is the strongest. It defeats a Full House, Flush, Straight, Three of a Kind, Two Pair, One Pair, and High Card, but is outranked by a Royal Flush and Straight Flush. The odds against being dealt Four of a Kind are 4,164 to 1.