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Player 1 has A 8; Player 2 has A 9.

Community cards are A K 7 4 4.

Does player 2 win with a 9 kicker? Or is the K the kicker for both resulting in a tie?

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It's a tie (split pot) since both players' best hands are: A A 4 4 K (Two pairs with a King kicker).

Texas hold 'em

On the showdown, each player plays the best poker hand they can make from the seven cards comprising their two-hole cards and the five community cards.

List of poker hands

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