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You and two friends decide to go to a casino and play Blackjack. You find an empty table and sit down. The dealer shuffles and deals from a new 52 card deck. In order to win, you and your friends know that you need to either score a 21 (blackjack and automatic win) or get a higher total than the dealer. You know that a deck of cards has 13 different cards (2-10, Jack, Queen, King, and Ace), and that there are 4 copies of each in the deck. You know that an ace is equal to either 1 or 11 and that Jacks, Queens, and Kings are worth 10. The dealer deals out the following cards:
You: Jack and Ace Friend 1: King and 10 Friend 2: 10 and 10 Dealer: 10 and ?
The dealer is about to deal their last card. What are the following probabilities:
A) What is the
B) What is the probability that the next card can tie your hand?
C) What is the probability that the next card can beat your friends?
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