Book

Intermediate Poker Mathematics

Authors:
ResearchGate has not been able to resolve any citations for this publication.
Article
Rankings of hands in traditional five-card poker are based on the relative frequency of each type of hand occurring. When wild cards are added to the standard deck, these rankings can go awry quite quickly. In this paper, wild card poker is taken to the extreme. We find the minimum number of wild cards needed to ensure five-of-a-kind is the most common hand.
Clark & Hofeline, Printers, New Orleans, 1881. Allen, Lee, Gambling's Next Big Thing: Casino Lands First Poker-Side Bet Gaming Option
  • Jarck Abbott
  • Treatise On Jack Pot
  • Poker
Abbott, Jarck, A Treatise on Jack Pot Poker. Clark & Hofeline, Printers, New Orleans, 1881. Allen, Lee, Gambling's Next Big Thing: Casino Lands First Poker-Side Bet Gaming Option. Online at https://indiancountrytoday.com/archive/gamblings-next-big-thing-casino-lands-firstpoker-side-bet-gaming-option. Accessed 15 March 2021.
Association of British Casinos, Action Hold'em-(Poker Variant)
  • Chad Andrews
Andrews, Chad, Poker Game and Deck of Cards for Playing Same. US Patent Application Publication, # US 2007/0013132 A1, 18 January 2007. Online at https://patents.google.com/patent/US20070013132. Accessed 8 August 2023. Anonymous, Casino Confidential. Quirk Books, Philadelphia, PA, 2008. Archer, John, An Expert's Guide to Winning at Poker. Wilshire Book Company, North Hollywood, CA, 1978. Association of British Casinos, Action Hold'em-(Poker Variant). Online at https://www.ukcasinotablegames.info/pokeractionholdem.html. Accessed 6 April 2021. Beware of Paresis Poker. Washington Post, 31 July 1910, Miscellany Section, p. 1.
The complete poker-player: a practical guide book to the American national game: containing mathematical and experimental analyses of the probabilities at draw poker
  • John Blackbridge
Blackbridge, John, The complete poker-player: a practical guide book to the American national game: containing mathematical and experimental analyses of the probabilities at draw poker.
Butler, Bill, Durango Bill's Poker Probabilities
  • Doyle Brunson
Brunson, Doyle, Super System 2: A Course In Power Poker. Cardoza Publishing, New York, NY, 2005. Butler, Bill, Durango Bill's Poker Probabilities. Online at http://www.durangobill.com/Poker_Probabilities_5_Cards.html. Accessed 10 February 2024.
Caro Dots Accelerated
  • Mike Caro
Caro, Mike, "Caro Dots Accelerated", in New Poker Games. Gambling Times Incorporated, Hollywood, CA, 1984, pp. 85-94.
My least popular poker opinions
  • Mike Caro
Caro, Mike, My least popular poker opinions. Online at https://www.poker1.com/archives/9741/my-least-popular-poker-opinions. Accessed 24 February 2021.
High Country Poker. Casino City Times
  • Donald Catlin
Catlin, Donald, High Country Poker. Casino City Times, 6 May 2000. Online at https://www.casinocitytimes.com/donald-catlin/article/high-country-poker-1234. Accessed 26 February 2022.
Where Are Those Straight Flushes? Casino City Times
  • Donald Catlin
Catlin, Donald, Where Are Those Straight Flushes? Casino City Times, 6 October 2002. Online at https://www.casinocitytimes.com/donald-catlin/article/where-are-those-straight-flushes-1247. Accesed 26 February 2022.
  • Bill Chen
  • Jerrod Ankelman
Chen, Bill, and Jerrod Ankelman. The Mathematics of Poker. ConJelCo LLC, Pittsburgh, PA, 2006.
Why poker is played with five cards. The Mathematical Gazette 73 #466
  • Y L Cheung
Cheung, Y.L., Why poker is played with five cards. The Mathematical Gazette 73 #466, December 1989, pp. 313-315. Online at http://www.jstor.org/stable/3619303. Accessed 12 March 2021. Cigar Store Dice Games. Kansas City Star, 30 December 1906, p.20.
Fortune Poker; a world-wide roundup of the traditional American game
  • George Coffin
  • Sturgis
Coffin, George Sturgis, Fortune Poker; a world-wide roundup of the traditional American game. D. McKay Co., Philadelphia, 1949.
The American card player, containing clear and comprehensive directions for playing the games of euchre, whist, bezique, all-fours, pitch, commercial pitch, French fours, all fives, casino, cribbage, straight and draw poker, and whiskey poker; together with all the laws of those games
  • William B Dick
Dick, William B., The American card player, containing clear and comprehensive directions for playing the games of euchre, whist, bezique, all-fours, pitch, commercial pitch, French fours, all fives, casino, cribbage, straight and draw poker, and whiskey poker; together with all the laws of those games. Dick & Fitzgerald, New York, NY, 1866.
Inconsistencies of "Wild-Card
  • Deadwood Dolly
  • Dateline Deadwood
Dolly, Deadwood, Dateline Deadwood. The Card Player 4 #21, 18 October 1991, pp. 52, 65. Emert, John, and Dale Umbach, Inconsistencies of "Wild-Card" Poker. CHANCE, 9:3, 17-22, 1996.
  • S N Ethier
  • F M Hoppe
Ethier, S. N., & Hoppe, F. M., Teaching a University Course on the Mathematics of Gambling. UNLV Gaming Research & Review Journal, 24(1), 2020. Retrieved from https://digitalscholarship.unlv.edu/grrj/vol24/iss1/2. Accessed 20 May 2021.
How to Play 3 Card Lowball Poker
  • Heather Ferris
Ferris, Heather, How to Play 3 Card Lowball Poker. Online at https://www.vegasaces.com/learn/play-three-card-lowball-poker/. Accessed 21 May 2021.
The Project Gutenberg EBook of Foster's Complete Hoyle: An encyclopedia of games
  • R F Foster
Foster, R.F., The Project Gutenberg EBook of Foster's Complete Hoyle: An encyclopedia of games. 3 January 2017. Online at https://www.gutenberg.org/files/53881/53881-h/53881-h.htm. Accessed 22 February 2023. File: One-eyed jack.png. Online at https://en.wikipedia.org/wiki/File:One-eyed-jack.png. Accessed 2 October 2021.
  • Eve Firestone
Firestone, Eve, Poker Players Beware. Casino & Sports 3, pp. 62-63, 1978.
Stud Poker Blue Book
  • George H Fisher
Fisher, George H., Stud Poker Blue Book. Gamblers Book Club Press, Las Vegas, NV, 1983 reprint of 1934 edition.
Gambling: A Tradition in Maryland. The Card Player
  • Hawk Fitzgerald
Fitzgerald, Hawk, Gambling: A Tradition in Maryland. The Card Player 4, #22, 1 November 1991, pp. 51-52.
Containing all the Methods of Playing the Latest and Most Fashionable Games
  • Thomas Frere
  • Hoyle
  • Games
Frere, Thomas, Hoyle's Games, Containing all the Methods of Playing the Latest and Most Fashionable Games. J.S. Locke & Co., Boston, MA, 1876.
Caribbean Stud's Fatal Flaw
  • Elliot Frome
Frome, Elliot, Caribbean Stud's Fatal Flaw. Winning Strategies 3, #14, 12 April 2021. Online at https://mailchi.mp/0def4f275a8f/gambatria-newsletter-10139577. Accessed 13 April 2021.
Expert Strategy for Three Card Poker
  • Elliot Frome
Frome, Elliot, Expert Strategy for Three Card Poker. Gambatria, Las Vegas, NV, 2014. Frome, Elliot, It All Ends with a Razgu. Gambatria, 23 January 2014. Online at http://www.gambatria.com/blog/2014/1/23/it-all-ends-with-a-razgu. Accessed 6 March 2021.
Caribbean Stud Poker: Pirate or Treasure Island? The Card Player 5 #4
  • Ira D Frome
  • Elliot A Frome
Frome, Ira D., and Elliot A. Frome, Caribbean Stud Poker: Pirate or Treasure Island? The Card Player 5 #4, 21 February 1992, p. 42.
Bushel and a Peck of New Video Pokers
  • Lee Frome
Frome, Lee, Bushel and a Peck of New Video Pokers. Card Player 9 #17, 23 August 1996, pp. 78-79.
Frome, Lenny, Expert Strategy for Five Deck Frenzy
  • Len Frome
Frome, Len, "Star Poker" Strategy. WIN Magazine 13, #11, April 1992, pp. 36-37, 57. Frome, Lenny, Expert Strategy for Five Deck Frenzy. Compu-Flyers, Las Vegas, NV, 1997.
The Reel Games that Came Before the Slot Machine
  • Jeff Grant
Grant, Jeff, The Reel Games that Came Before the Slot Machine. Online at https://www.onlinecasinoselite.org/post/the-reel-games-that-came-before-the-slot-machine. Accessed 13 July 2021.
An Analysis of Caribbean Stud Poker
  • Peter Griffin
  • John M Gwynn
Griffin, Peter, and John M. Gwynn, Jr., An Analysis of Caribbean Stud Poker, in Finding the Edge, Olaf Vancura, Judy A. Cornelius, and William R. Eadington, editors. Institute for the Study of Gambling and Commercial Gaming, Reno, NV, 2000, pp. 273-284.
Letter from the State of Washington Gambling Commission to Bo Zarach, Bally Technologies
  • Tina Griffin
Griffin, Tina, Letter from the State of Washington Gambling Commission to Bo Zarach, Bally Technologies, 12 September 2019. Online at https://www.wsgc.wa.gov/sites/default/files/public/activities/GameRules/gamerules/Fast%20Action%20Hold%27Em%20-%20Upgrade%20-%20Approval%20Letter%20and%20Game%20Rules.pdf. Accessed 9 May 2023.
Letter from the State of Washington Gambling Commission to Jacqueline Hunter, Scientific Games
  • Tina Griffin
Griffin, Tina, Letter from the State of Washington Gambling Commission to Jacqueline Hunter, Scientific Games. 22 June 2020. Online at https://www.wsgc.wa.gov/sites/default/files/public/activities/GameRules/gamerules/06%202020%20Three%20Card%20Poker%20Face%20Up%20-%20Face-up%20Dealing%20Approval.pdf. Accessed 5 April 2021.
  • Sandy Griswold
Griswold, Sandy, Questions Answered by the Oracle. Omaha World-Herald, 4 May 1913, p. 19.
  • Sandy Griswold
Griswold, Sandy, Queries Answered by the Oracle. Omaha World-Herald, 5 January 1919, p.
  • John Grochowski
Grochowski, John, Big Payoff from Lower Payer. Strictly Slots 5, February 2014. Online at https://www.casinocenter.com/big-payday-from-lower-payer/. Accessed 11 September 2021.
An Introduction To Short Deck Hold'Em. Card Player 32 #1
  • Kevin Haney
Haney, Kevin, An Introduction To Short Deck Hold'Em. Card Player 32 #1, 2 January 2019, pp 35-38.
Comparing Short Deck to Full Deck. Card Player 32 #2
  • Kevin Haney
Haney, Kevin, Comparing Short Deck to Full Deck. Card Player 32 #2, 16 January 2019, pp 33-34.
Ranking The Starting Hands. Card Player 32 #9
  • Kevin Haney
  • Short Deck
Haney, Kevin, Short Deck: Ranking The Starting Hands. Card Player 32 #9, 24 April 2019, pp 36-38.
The Coach's Game At Resorts World: Part 1. Card Player 36 #2
  • Kevin Haney
Haney, Kevin, The Coach's Game At Resorts World: Part 1. Card Player 36 #2, 11 January 2023. Online at https://www.cardplayer.com/cardplayer-poker-magazines/66506-chadeveslage-36-2/articles/24732-the-coach-s-game-at-resorts-world-part-1. Accessed 25 February 2023.
Institute for the Study of Gambling and Commercial Gaming
  • Robert C Hannum
  • Anthony N Cabot
Hannum, Robert C., and Anthony N. Cabot, Practical Casino Math, 2nd edition. Institute for the Study of Gambling and Commercial Gaming, Reno, NV, 2005. Demand for a Poker Congress, Philadelphia Times, 18 June 1895, p. 9.
Starting With A Pair Of Aces in Seven-Card Stud. The Card Player 3, #12
  • W Hill
  • Lawrence
Hill, W. Lawrence, Starting With A Pair Of Aces in Seven-Card Stud. The Card Player 3, #12, 15 June 1990, pp. 10-11.
Wins Inaugural Short-Deck Event
  • Haley Hintze
  • Alex Epstein
Hintze, Haley, Alex Epstein Wins Inaugural Short-Deck Event. 4 June 2019. Online at https://www.wsop.com/news/2019/Jun/10973/ALEX-EPSTEIN-WINS-INAUGURAL-SHORT-DECK-EVENT.html. Accessed 6 June 2022.
Simple +EV Collusion For Caribbean Stud
  • Stephen How
How, Stephen, Simple +EV Collusion For Caribbean Stud. Online at https://discountgambling.net/category/caribbean-stud/. Accessed 14 April 2021.
Treatise of the Game of Brag, Containing the Laws of the Game. Also Calcualtions shewing the Odds of winning or losing certain hands dealt
  • Edmond Hoyle
  • Short
Hoyle, Edmond, A Short Treatise of the Game of Brag, Containing the Laws of the Game. Also Calcualtions shewing the Odds of winning or losing certain hands dealt. J. Jolliffe, Bookseller, London, 1751.
s Nugget a Plush Place to Play Poker. The Card Player 5, #11
  • Susie Isaacs
  • John Ascuaga
Isaacs, Susie, John Ascuaga's Nugget a Plush Place to Play Poker. The Card Player 5, #11, 29 May 1992, pp. 28-29.
Glitch causes a hitch in lottery card game
  • Luther Jackson
Jackson, Luther, A misdeal: Glitch causes a hitch in lottery card game. Detroit Free Press, 6 January 1983, p. 3A.
Contemporary Casino Table Game Design. Blue Point Books
  • Eliot Jacobson
Jacobson, Eliot, Contemporary Casino Table Game Design. Blue Point Books, Santa Barbara, CA, 2010.