A Euchre deck consists of 24 cards each labeled with exactly

A Euchre deck consists of 24 cards, each labeled with exactly one of four suits and exactly one of six ranks {9, 10, Jack, Queen, King, Ace}. So the deck has, e.g. four Queens. Five cards are dealt to form a hand. What is the probability that the hand contains.. at least one Queen? at least one King and at least one Queen? at least one Queen given that the hand contains at least two numbered (9 or 10) cards? Simplify your answer!

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