4.261 Flve-Card Draw. A hand of five-card draw poker consists of an unordered arrangement of five cards from an ordinary deck of 52 playing cards. a. How many five-card draw poker hands are possible? b. How many different hands consisting of three kings and two queens are possible? c. The hand in part (b) is an example of a full house: three cards of one denomination and two of another. How many different full houses are possible? d. Calculate the probability of being dealt a full house. e. Compare your answers in parts (a)–(d) to those in Exercise 4.256.
4.261 Flve-Card Draw. A hand of five-card draw poker consists of an unordered arrangement of five cards from an ordinary deck of 52 playing cards. a. How many five-card draw poker hands are possible? b. How many different hands consisting of three kings and two queens are possible? c. The hand in part (b) is an example of a full house: three cards of one denomination and two of another. How many different full houses are possible? d. Calculate the probability of being dealt a full house. e. Compare your answers in parts (a)–(d) to those in Exercise 4.256.
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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Please answer the following question and show step by step detail of how you answered parts d and e.
Transcribed Image Text:**4.261 Five-Card Draw**
A hand of five-card draw poker consists of an unordered arrangement of five cards from an ordinary deck of 52 playing cards.
a. **How many five-card draw poker hands are possible?**
b. **How many different hands consisting of three kings and two queens are possible?**
c. **The hand in part (b) is an example of a full house: three cards of one denomination and two of another. How many different full houses are possible?**
d. **Calculate the probability of being dealt a full house.**
e. **Compare your answers in parts (a)–(d) to those in Exercise 4.256.**
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