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

College Algebra
10th Edition
ISBN:9781337282291
Author:Ron Larson
Publisher:Ron Larson
Chapter8: Sequences, Series,and Probability
Section8.6: Counting Principles
Problem 9ECP: In three-card poker, a hand consists of three cards dealt from a deck of 52. How many different...
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if possible please answer A, B, C, D. or do as much as possible. Thank you.

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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