Blackjack, or twenty-one as it is frequently called, is a popular gambling game played in Las Vegas 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. (1) What is the probability that both cards dealt are aces or 10-point cards? (2) What is the probability that both of the cards are aces? (3) What is the probability that both of the cards have a point value of 10? (4) A blackjack is a 10-point card and an ace for a value of 21. Use your answers to parts (5) Parts (1), (2), and (3) to determine the probability that a player is dealt blackjack. (Hint: Part (4) is not a hypergeometric problem. Develop your own logical relationship as to how the hypergeometric probabilities from parts (1), (2), and (3) can be combined to answer this question.
Contingency Table
A contingency table can be defined as the visual representation of the relationship between two or more categorical variables that can be evaluated and registered. It is a categorical version of the scatterplot, which is used to investigate the linear relationship between two variables. A contingency table is indeed a type of frequency distribution table that displays two variables at the same time.
Binomial Distribution
Binomial is an algebraic expression of the sum or the difference of two terms. Before knowing about binomial distribution, we must know about the binomial theorem.
Blackjack, or twenty-one as it is frequently called, is a popular gambling game played in Las Vegas 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. (1) What is the
blackjack. (Hint: Part (4) is not a hypergeometric problem. Develop your own logical relationship as to how the hypergeometric probabilities from parts (1), (2), and (3) can be combined to answer this question.
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