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Dealers poker hand: 4,4,4,6,9 and My poker hand: 10,J,Q,K,8 so which hand is the winner? Which one is higher ?

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4 4 4 6 9 beats T J Q K 8 because 4 4 4 6 9 is Three Of A Kind and T J Q K 8 is High Card (King). This is assuming the T J Q K 8 is not a flush - you have not specified suits, so it is impossible to tell. If the T J Q K 8 is all the same suit, then that hand wins as a Flush beats Three Of A Kind.

For more information, see the How to determine the winning hands in poker? question which Nij linked to in the comments.

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