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Blackjack or twenty one as it is frequently called is a popular gambling game played in casinos A player is dealt two cards Face cards

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Blackjack or twenty one as it is frequently called is a popular gambling game played in casinos A player is dealt two cards Face cards jacks queens and kings and tens have a point value of 10 Aces have a point value of 1 or 11 A 52 card deck contains 16 cards with a point value of 10 jacks queens kings and tens and four aces Round your answers to four decimal places a What is the probability that both cards dealt are aces or 10 point cards b What is the probability that both of the cards are aces c What is the probability that both of the cards have a point value of 10 d A blackjack is a 10 point card and an ace for a value of 21 Use your answers to parts a b and c to determine the probability that a player is dealt blackjack Hint Part d is not a hypergeometric problem Develop your own logical relationship as to how the hypergeometric probabilities from parts a b and c can be combined to answer this question

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