Question
Julie has decided to try Poker this week. In poker, a player is randomly dealt a hand of 5 cards from a standard deck of
Julie has decided to try Poker this week. In poker, a player is randomly dealt a hand of 5 cards from a standard deck of 52 cards: 13 face values (A, 2, 3, 4, 5, 6, 7, 8, 9, 10, J, Q, K) in four suits each (diamonds, clubs, hearts and spades). However, there has been a mistake and the current deck is missing the 9 of hearts and the 9 of diamonds, leaving only 50 cards. For this 50-card deck,
a.[1] how many possible 5 card hands are there? b) [1] what is the probability of getting four-of-a-kind (four cards with the same face value) c) [2] what is the probability of getting a straight (5 consecutive face values, regardless of suit; A can be 'low' [A, 2, 3, 4, 5] or 'high' [10, J, Q, K, A]) d) [2] what is the probability of getting a full house (three cards with one face value and two cards with another)
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