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The house can't be said to win in a poker game because the House , the provider of the table space and game oversight when played in a casino card room does not actually play in the game. The House  does take a fee called a rake  for each hand palyed but this rake is a fixed percentage of the total pot.

Naturally, the best possible Full House you can form is Aces full of Kings. In other words, Three of a Kind Aces, and a pair of Kings. In this poker hand, it's the denomination or rank that is important. For example, this particular hand  Aces full of Kings  is the best possible Full House you can hold.