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Why a Flush Beats a Straight in Most Poker Games In traditional poker variants like Texas Hold’em or Omaha: Flushes are rarer than straights when using five or seven cards. That rarity makes them more valuable, so the hand rankings reflect that: flush > straight. Why Three Card Poker Flips the Script In Three Card Poker, the rankings are reversed: Straight beats flush, which seems odd until you consider the math. With only three cards: Flushes are easier to get than straights