Consider a Game That Consists of Dealing Out a Hand

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) .If the total of the two cards dealt out is higher than the total of the two remaining cards you win the game.Is winning independent or dependent of the event of having exactly one Ace?

A) Dependent.P(Win) ≠ P(Win|Exactly One Ace) .
B) Dependent.P(Win) ≠ P(Exactly One Ace|Win) .
C) Independent.P(Win) = P(Win|Exactly One Ace) .
D) Independent.P(Win) = P(Exactly One Ace|Win) .
E) Dependent.P(Win) = P(Win|Exactly One Ace) .