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Question 6: When playing poker you use a standard deck of cards consists of 52 car Each card consists of a rank chosen from 13 available ranks and a suit chosen from 4 availab suits. The ranks are, in order from least to greatest, {2, 3, 4, 5, 6, 7, 8, 9, 10, J, Q, K, A}. T suits are {◊, ◆, ♡,♣}. All suits are considered equal value. Note that there are 4 cards any given rank. For example, all cards of rank 7 would be {70, 76, 70, 7♣}. In poker y are dealt a hand of 5 cards. a) What is the probability that you have 4 of a kind? That is, what is the probabili that you have 4 cards of the same rank? b) What is the probability that the highest card in your hand is a 7? We will consider to be the highest rank overall, thus A > 7 and there are 5 ranks below 7. c) Given that your highest card is a 7, what is the probability that you have four 7's? d) Given that your highest card is a 7, what is the probability that you have a full hous A full house is three cards of one rank and two cards of another rank

Question 6: When playing poker you use a standard deck of cards consists of 52 car Each card consists of a rank chosen from 13 available ranks and a suit chosen from 4 availab suits. The ranks are, in order from least to greatest, {2, 3, 4, 5, 6, 7, 8, 9, 10, J, Q, K, A}. T suits are {◊, ◆, ♡,♣}. All suits are considered equal value. Note that there are 4 cards any given rank. For example, all cards of rank 7 would be {70, 76, 70, 7♣}. In poker y are dealt a hand of 5 cards. a) What is the probability that you have 4 of a kind? That is, what is the probabili that you have 4 cards of the same rank? b) What is the probability that the highest card in your hand is a 7? We will consider to be the highest rank overall, thus A > 7 and there are 5 ranks below 7. c) Given that your highest card is a 7, what is the probability that you have four 7's? d) Given that your highest card is a 7, what is the probability that you have a full hous A full house is three cards of one rank and two cards of another rank

A First Course in Probability (10th Edition)
A First Course in Probability (10th Edition)
10th Edition
ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
Section: Chapter Questions
Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...
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Question 6: When playing poker you use a standard deck of cards consists of 52 cards. Each card consists of a rank chosen from 13 available ranks and a suit chosen from 4 available suits. The ranks are, in order from least to greatest, {2, 3, 4, 5, 6, 7, 8, 9, 10, J, Q, K, A}. The suits are {◊, }. All suits are considered equal value. Note that there are 4 cards of any given rank. For example, all cards of rank 7 would be {70, 70, 70, 7}. In poker you are dealt a hand of 5 cards. a) What is the probability that you have 4 of a kind? That is, what is the probability that you have 4 cards of the same rank? b) What is the probability that the highest card in your hand is a 7? We will consider A to be the highest rank overall, thus A> 7 and there are 5 ranks below 7. c) Given that your highest card is a 7, what is the probability that you have four 7's? d) Given that your highest card is a 7, what is the probability that you have a full house? A full house is three cards of one rank and two cards of another rank.
Transcribed Image Text:Question 6: When playing poker you use a standard deck of cards consists of 52 cards. Each card consists of a rank chosen from 13 available ranks and a suit chosen from 4 available suits. The ranks are, in order from least to greatest, {2, 3, 4, 5, 6, 7, 8, 9, 10, J, Q, K, A}. The suits are {◊, }. All suits are considered equal value. Note that there are 4 cards of any given rank. For example, all cards of rank 7 would be {70, 70, 70, 7}. In poker you are dealt a hand of 5 cards. a) What is the probability that you have 4 of a kind? That is, what is the probability that you have 4 cards of the same rank? b) What is the probability that the highest card in your hand is a 7? We will consider A to be the highest rank overall, thus A> 7 and there are 5 ranks below 7. c) Given that your highest card is a 7, what is the probability that you have four 7's? d) Given that your highest card is a 7, what is the probability that you have a full house? A full house is three cards of one rank and two cards of another rank.
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