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Assume that in blackjack, an ace is always worth 11, all face cards (Jack, Queen, King) are worth 10, and all number cards are woth

Assume that in blackjack, an ace is always worth 11, all face cards (Jack, Queen, King) are worth 10, and all number cards are woth the number they show. Given a shuffled deck of52 cards:

  • What is the probability that you draw 2 cards and they sum 21?
  • What is the probability that you draw 2 cards and they sum 10?
  • Suppose you have drawn two cards: 10 of clubs and 4 of hearts. You now draw a third card from the remaining 50. What is the probability that the sum of all three cards is strictly larger than 21?

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