Consider a Game That Consists of Dealing Out a Hand

question 12

Multiple Choice

Consider a game that consists of dealing out a hand of two random cards from a deck of four cards.The deck contains the Ace of Spades (As) ,the Ace of Hearts (Ah) ,the King of Spades (Ks) and the 9 of Hearts (9h) .Aces count as 1 or 11.Kings count as 10.You are interested in the total count of the two cards,with a maximum count of 21 (that is,AsAh = 12) .Let X be the sum of the two cards.Find the expected value of X.

• A)19.0
• B)18.0
• C)20.5
• D)18.5
• E)20.0

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