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(5 marks) Consider a game that consists of randomly dealing out three hands of four cards each from a deck of 12 cards. The deck

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(5 marks) Consider a game that consists of randomly dealing out three hands of four cards each from a deck of 12 cards. The deck contains the four Aces, four Kings, two Queens and two Jacks. That is, the cards in the deck are (A A A A K K K K Q Q J J). What is the probability at least one of the hands has all four different denominations (call this event A)

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