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Mathematics, 20.09.2020 15:01 AM28

Bethany is playing a game with her sister. Each player starts with 3 shuffled decks of cards turned upside down in 3 separate piles so they don't know what order the cards are in. At each turn they draw 2 cards, 1 from the top of 2 piles of their choosing. Bethany has the last play, and to win the game, she needs 2 face cards. She has paid attention to which cards have been played from each pile, and she knows what cards are remaining in each pile. The cards remaining in each pile are shown below. Pile 1 = {10C, 5D, 9H, 9D, JD, 8D} Pile 2 = {8D, QC, 4S, 4D, AD, JS, 4H} Pile 3 = {4C, KS, 6S, 10D, 4H} Which 2 piles should Bethany draw from to have the best chance of winning the game? Note: The last letter in the lists above gives the suit: Club, Diamond, Heart, or Spade. The first number or letter is the card value. Jacks, Queens, and Kings are face cards. A. She can't win the game. B. Pile 1 and Pile 2 C. Pile 1 and Pile 3 D. Pile 2 and Pile 3

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