In: Statistics and Probability
You decide to play a simplified version of blackjack where you are dealt two cards from a well-shuffled deck of 52 cards. One of the cards is dealt face down and one of the cards is face up. Assume that all of the cards count for their face value (e.g., a 3 of hearts = 3), face cards (J, Q, K) count as 10, and aces [always] count for 11^(1) The value of a player’s hand is determined by the sum of the scores for the two cards that they receive. Use this information to answer the following questions.
1.What is the probability that both of the cards you are dealt are kings?
2.A blackjack occurs when the sum of your cards is 21 – what is the probability that you get a blackjack?
3.Assume the card that is dealt face up is an 8. What is the probability that the value of your hand is at least 17?
4.Give an example of an event in the game of blackjack that contains more than a single outcome.