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The Mathematics of Various Entertaining SubjectsResearch in Recreational Math$
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Jennifer Beineke and Jason Rosenhouse

Print publication date: 2015

Print ISBN-13: 9780691164038

Published to Princeton Scholarship Online: October 2017

DOI: 10.23943/princeton/9780691164038.001.0001

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Heartless Poker

Heartless Poker

(p.149) 11 Heartless Poker
The Mathematics of Various Entertaining Subjects

Dominic Lanphier

Laura Taalman

Princeton University Press

This chapter considers three hands in poker. It shows how the probabilities of obtaining a Full House, Straight, and Flush level off compared to the probabilities of the other hands, and then looks at how the probabilities of these three hands shift according to how the deck has been modified. These hands, as the chapter notes, have distinct frequencies in any generalized poker game. However, the analysis here is conducted through a game of Heartless Poker, which uses a standard deck with all the hearts removed. That there are only three suits and thirty-nine cards in the deck changes the probabilities, and perhaps the rankings, of the different types of hands.

Keywords:   playing cards, poker, Heartless Poker, Full House, Flush, Straight

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