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Banker's Casino
Banker’s Casino Salinas, CA SUMMARY Based on industry trends and customer demands, the Banker’s Casino (BC) is proposing to add the game of Mexican Poker- Salinas version, to its customers. The game is a modified version of 5 Card Draw Poker with the addition of a Joker. DETAILS The following details are provided per BGC-APP. 026: Standards of Play The game is played in the traditional manner of a poker game such as Texas Hold’em with the standard poker hand values and rankings applied. Type of Card Deck A standard 52 deck of cards is utilized and one Joker card is added for a total deck of 53 cards used for each round of play. Dealing Procedure At the start of a game a player is selected to have the “dealer” button placed in front of them by the dealer dealing a single card to each player. The person with the highest ranking card will have the dealer button placed in front of their position. Number of Players in the Game A minimum of 5 and a maximum of 7 players can participate in the game. Description of How and When House Fees are Collected The house collection fee is taken by the dealer after the bets are collected from the players and put in the middle of the table. Betting Limits This game will be offered in a “no limit” format with a minimum of a $40 and a maximum of a $100 buy-in. The betting, which is decided on by the player with the dealer button in front of them will range from a minimum of $2 to a maximum of $5. -
Analysis of Rummy Games: Expected Waiting Times and Optimal Strategies
ANALYSIS OF RUMMY GAMES: EXPECTED WAITING TIMES AND OPTIMAL STRATEGIES CHRISTOPHER FINKLE A SENIOR RESEARCH PAPER PRESENTED TO THE DEPARTMENT OF MATHEMATICS AND COMPUTER SCIENCE OF STETSON UNIVERSITY IN PARTIAL FULFILLMENT OF THE REQUIREMENTS FOR THE DEGREE OF BACHELOR OF SCIENCE STETSON UNIVERSITY 2017 Contents 1 Introduction 2 1.1 Background and Objective . 2 1.2 Games of the Rummy Family . 3 1.3 Expected Value and Expected Time . 4 1.4 Existing Literature . 6 2 A Computational Approach 6 2.1 The Combinatorial Explosion of Rummy . 6 2.2 The Strategy of Dynamic Programming . 7 2.3 Introduction of Simplifying Assumptions . 8 2.4 The Bellman Equation . 10 2.5 Modifying the Bellman Equation to Describe Rummy . 11 2.6 Iterating Over the Set of Hands . 12 3 Three-Card Rummy 14 3.1 A Combinatorial Implosion . 14 3.2 Results . 16 3.2.1 Analysis of Results for 3-Card Rummy with Aces Low 16 3.2.2 Analysis of Results for 3-Card Rummy with Aces High or Low . 18 3.2.3 Analysis of Results for 3-Card Continuity Rummy . 19 4 Four-Card Rummy 21 4.1 Combinatorial Regrowth . 21 4.2 Analysis of Results for 4-Card Continuity Rummy . 21 5 Approximation and Least Upper Bounds 23 5.1 An Illustration of the Bounding Process . 23 5.2 Implementation of the Approximation Algorithm . 24 5.3 Approximation of 3-Card Rummy with Aces Low . 26 5.4 Approximation of 4-Card Rummy with Aces Low . 29 5.5 Approximation of 4-Card Rummy with Aces High or Low . -
The Penguin Book of Card Games
PENGUIN BOOKS The Penguin Book of Card Games A former language-teacher and technical journalist, David Parlett began freelancing in 1975 as a games inventor and author of books on games, a field in which he has built up an impressive international reputation. He is an accredited consultant on gaming terminology to the Oxford English Dictionary and regularly advises on the staging of card games in films and television productions. His many books include The Oxford History of Board Games, The Oxford History of Card Games, The Penguin Book of Word Games, The Penguin Book of Card Games and the The Penguin Book of Patience. His board game Hare and Tortoise has been in print since 1974, was the first ever winner of the prestigious German Game of the Year Award in 1979, and has recently appeared in a new edition. His website at http://www.davpar.com is a rich source of information about games and other interests. David Parlett is a native of south London, where he still resides with his wife Barbara. The Penguin Book of Card Games David Parlett PENGUIN BOOKS PENGUIN BOOKS Published by the Penguin Group Penguin Books Ltd, 80 Strand, London WC2R 0RL, England Penguin Group (USA) Inc., 375 Hudson Street, New York, New York 10014, USA Penguin Group (Canada), 90 Eglinton Avenue East, Suite 700, Toronto, Ontario, Canada M4P 2Y3 (a division of Pearson Penguin Canada Inc.) Penguin Ireland, 25 St Stephen’s Green, Dublin 2, Ireland (a division of Penguin Books Ltd) Penguin Group (Australia) Ltd, 250 Camberwell Road, Camberwell, Victoria 3124, Australia -
Jack Cincinnati Casino Llc Internal Controls Section J a 1: Blackjack
JACK CINCINNATI CASINO LLC INTERNAL CONTROLS SECTION J A 1: BLACKJACK Date Submitted to the Ohio Casino Control Commission (the “Commission”): 4/5/2017 Date Approved by the Commission 4/19/2017 TABLE OF CONTENTS Title Page No. 1. Definitions ..................................................................................................................................................................... 2 2. Blackjack Table; Card Reader Device; Physical Characteristics; Inspections. ............................................................. 2 3. Cards; Number of Decks; Value of Cards. .................................................................................................................... 3 4. Wagers........................................................................................................................................................................... 3 5. Opening of Table for Gaming. ...................................................................................................................................... 4 6. Shuffle and Cut of the Cards. ........................................................................................................................................ 4 7. Procedure for Dealing Cards. ........................................................................................................................................ 5 8. Payment of Blackjack. ................................................................................................................................................. -
Opponent Hand Estimation in the Game of Gin Rummy
PRELIMINARY PREPRINT VERSION: DO NOT CITE The AAAI Digital Library will contain the published version some time after the conference. Opponent Hand Estimation in the Game of Gin Rummy Peter E. Francis, Hoang A. Just, Todd W. Neller Gettysburg College ffranpe02, justho01, [email protected] Abstract can make a difference in a game play strategy. We conclude In this article, we describe various approaches to oppo- with a demonstration of a simple deterministic application of nent hand estimation in the card game Gin Rummy. We our hand estimation that produces a statistically significant use an application of Bayes’ rule, as well as both sim- advantage for a player. ple and convolutional neural networks, to recognize pat- terns in simulated game play and predict the opponent’s Gin Rummy hand. We also present a new minimal-sized construction for using arrays to pre-populate hand representation im- Gin Rummy is one of the most popular 2-player card games ages. Finally, we define various metrics for evaluating played with a standard (a.k.a. French) 52-card deck. Ranks estimations, and evaluate the strengths of our different run from aces low to kings high. The object of the game is to estimations at different stages of the game. be the first player to score 100 or more points accumulated through the scoring of individual hands. Introduction The play of Gin Rummy, as with other games in the In this work, we focus on different computational strate- Rummy family, is to collect sets of cards called melds. gies to estimate the opponent’s hand in the card game Gin There are two types of melds: “sets” and “runs”. -
A Model for Implementing an Optimized Casino Degree Curriculum Within the Two-Year College
UNLV Retrospective Theses & Dissertations 1-1-1980 A Model For Implementing An Optimized Casino Degree Curriculum Within The Two-Year College Russell Edwin Anderson University of Nevada, Las Vegas Follow this and additional works at: https://digitalscholarship.unlv.edu/rtds Repository Citation Anderson, Russell Edwin, "A Model For Implementing An Optimized Casino Degree Curriculum Within The Two-Year College" (1980). UNLV Retrospective Theses & Dissertations. 2895. http://dx.doi.org/10.25669/k2bg-c0o0 This Dissertation is protected by copyright and/or related rights. It has been brought to you by Digital Scholarship@UNLV with permission from the rights-holder(s). You are free to use this Dissertation in any way that is permitted by the copyright and related rights legislation that applies to your use. For other uses you need to obtain permission from the rights-holder(s) directly, unless additional rights are indicated by a Creative Commons license in the record and/or on the work itself. This Dissertation has been accepted for inclusion in UNLV Retrospective Theses & Dissertations by an authorized administrator of Digital Scholarship@UNLV. For more information, please contact [email protected]. INFORMATION TO USERS This reproduction was made from a copy of a document sent to us for microfilming. While the most advanced technology has been used to photograph and reproduce this document, the quality of the reproduction is heavily dependent upon the quality of the material submitted. The following explanation of techniques is provided to help clarify markings or notations which may appear on this reproduction. 1. The sign or “target” for pages apparently lacking from the document photographed is “Missing Page(s)”. -
CASINO from NOWHERE, to VAGUELY EVERYWHERE Franco Pratesi - 09.10.1994
CASINO FROM NOWHERE, TO VAGUELY EVERYWHERE Franco Pratesi - 09.10.1994 “Fishing games form a rich hunting ground for researchers in quest of challenge”, David Parlett writes in one of his fine books. (1) I am not certain that I am a card researcher, and I doubt the rich hunting-ground too. It is several years since I began collecting information on these games, without noticeable improvements in my knowledge of their historical development. Therefore I would be glad if some IPCS member could provide specific information. Particularly useful would be descriptions of regional variants of fishing games which have − or have had − a traditional character. Within the general challenge mentioned, I have encountered an unexpected specific challenge: the origin of Casino, always said to be of Italian origin, whereas I have not yet been able to trace it here. So it appears to me, that until now, it is a game widespread from nowhere in Italy. THE NAME As we know, even the correct spelling of the name is in dispute. The reason for writing Cassino is said to be a printing mistake in one of the early descriptions. The most probable origin is from the same Italian word casino, which entered the English vocabulary to mean “a pleasure-house”, “a public room used for social meetings” and finally “a public gambling-house”. So the name of the game would better be written Casino, as it was spelled in the earliest English descriptions (and also in German) towards the end of the 18th century. If the origin has to be considered − and assuming that information about further uses of Italian Casino is not needed − it may be noted that Italian Cassino does exist too: it is a word seldom used and its main meaning of ‘box-cart’ hardly has any relevance to our topic. -
Latin Derivatives Dictionary
Dedication: 3/15/05 I dedicate this collection to my friends Orville and Evelyn Brynelson and my parents George and Marion Greenwald. I especially thank James Steckel, Barbara Zbikowski, Gustavo Betancourt, and Joshua Ellis, colleagues and computer experts extraordinaire, for their invaluable assistance. Kathy Hart, MUHS librarian, was most helpful in suggesting sources. I further thank Gaylan DuBose, Ed Long, Hugh Himwich, Susan Schearer, Gardy Warren, and Kaye Warren for their encouragement and advice. My former students and now Classics professors Daniel Curley and Anthony Hollingsworth also deserve mention for their advice, assistance, and friendship. My student Michael Kocorowski encouraged and provoked me into beginning this dictionary. Certamen players Michael Fleisch, James Ruel, Jeff Tudor, and Ryan Thom were inspirations. Sue Smith provided advice. James Radtke, James Beaudoin, Richard Hallberg, Sylvester Kreilein, and James Wilkinson assisted with words from modern foreign languages. Without the advice of these and many others this dictionary could not have been compiled. Lastly I thank all my colleagues and students at Marquette University High School who have made my teaching career a joy. Basic sources: American College Dictionary (ACD) American Heritage Dictionary of the English Language (AHD) Oxford Dictionary of English Etymology (ODEE) Oxford English Dictionary (OCD) Webster’s International Dictionary (eds. 2, 3) (W2, W3) Liddell and Scott (LS) Lewis and Short (LS) Oxford Latin Dictionary (OLD) Schaffer: Greek Derivative Dictionary, Latin Derivative Dictionary In addition many other sources were consulted; numerous etymology texts and readers were helpful. Zeno’s Word Frequency guide assisted in determining the relative importance of words. However, all judgments (and errors) are finally mine. -
BIG SIX Date Submitted to the Ohio
HARD ROCK CASINO CINCINNATI LLC INTERNAL CONTROLS SECTION J: BIG SIX Date Submitted to the Ohio Casino Control Commission (the “Commission”): 11/25/2019 Date Approved by the Commission: 12/05/2019 TABLE OF CONTENTS Title Page No. 1. Definitions. ..................................................................................................................................................................... 2 2. Physical Characteristics. ................................................................................................................................................. 2 3. Opening of a Table for Gaming. .................................................................................................................................... 2 4. Wagers. ........................................................................................................................................................................... 3 5. Dealing Procedures. ....................................................................................................................................................... 3 6. Result of Round; Payment and Collection of Wagers. ................................................................................................... 3 7. Payout Odds. .................................................................................................................................................................. 3 8. Procedures for Assessing the Randomness of Game. ................................................................................................... -
A Heuristic Evaluation Function for Hand Strength Estimation in Gin Rummy
The Thirty-Fifth AAAI Conference on Artificial Intelligence (AAAI-21) A Heuristic Evaluation Function for Hand Strength Estimation in Gin Rummy Aqib Ahmed, Joshua Leppo, Michal Lesniewski, Riken Patel, Jonathan Perez, Jeremy J. Blum The Pennsylvania State University, Harrisburg {aja6082, jzl6309, mkl5384, rkp8, jrp5717, jjb24}@psu.edu Abstract actions within an information set, where the weights are This paper describes a fast hand strength estimation model based on the likelihood that a node would be reached by an for the game of Gin Rummy. The algorithm is computation- opponent’s strategy (Hart and Mas-Colell 2000). ally inexpensive, and it incorporates not only cards in the A constraint for nodes within an information set is that player’s hand but also cards known to be in the opponent’s they have the same set of available actions. For a discard hand, cards in the discard pile, and the current game stage. This algorithm is used in conjunction with counterfactual re- decision in Gin Rummy, this constraint creates a challenge. gret (CFR) minimization to develop a gin rummy bot. CFR The discard decision requires the selection of 1 of 11 cards. strategies were developed for the knocking strategies. The Given the more than 60 billion 11-card hands, the explosion hand strength estimation algorithm was used to select a dis- in the number of information sets limits the ability to di- card that balances the goals of maximizing the utility of the rectly develop a CFR strategy for this decision point. player’s hand and minimizing the likelihood that a card will be useful to the opponent. -
Opponent Hand Estimation in the Game of Gin Rummy
The Thirty-Fifth AAAI Conference on Artificial Intelligence (AAAI-21) Opponent Hand Estimation in the Game of Gin Rummy Peter E. Francis, Hoang A. Just, Todd W. Neller Gettysburg College ffranpe02, justho01, [email protected] Abstract can make a difference in a game play strategy. We conclude In this article, we describe various approaches to oppo- with a demonstration of a simple deterministic application of nent hand estimation in the card game Gin Rummy. We our hand estimation that produces a statistically significant use an application of Bayes’ rule, as well as both sim- advantage for a player. ple and convolutional neural networks, to recognize pat- terns in simulated game play and predict the opponent’s Gin Rummy hand. We also present a new minimal-sized construction for using arrays to pre-populate hand representation im- Gin Rummy is one of the most popular 2-player card games ages. Finally, we define various metrics for evaluating played with a standard (a.k.a. French) 52-card deck. Ranks estimations, and evaluate the strengths of our different run from aces low to kings high. The object of the game is to estimations at different stages of the game. be the first player to score 100 or more points accumulated through the scoring of individual hands. Introduction The play of Gin Rummy, as with other games in the In this work, we focus on different computational strate- Rummy family, is to collect sets of cards called melds. gies to estimate the opponent’s hand in the card game Gin There are two types of melds: “sets” and “runs”. -
BGC Pure 21.5 Blackjack , BGC Standard Rules
*Pure 21.5 Blackjack is owned, patented and/or copyrighted by TXB Industries Inc. Please submit your agreement with the Owner authorizing play of the Game in your gambling establishment together with any request for Bureau of Gambling Control (Bureau) approval to play this game. Please note that the Bureau is making the details of this game available to the public as required by subdivision (g) of Business and Professions Code section 19826, but the posting does not waive any rights to the game content which may be held by Owner. The terms of any agreement with Owner are to be negotiated between the gambling establishment and Owner, and any dispute or asserted breach related thereto are private matters which will not be resolved by the Bureau. CA OBJECT OF THE GAME The object of Pure 21.5 Blackjack is for the players and the player-dealer to add the numerical value of their cards and: • Achieve the best possible point total of 21.5 by getting a King, Queen, Jack, or Ten Bonus Card and an ace on the initial two cards dealt (Sample King Bonus Card below). This hand pays 6 to 5. • Get as close to 21.5 as possible, without going over. • Draw additional cards if needed. PURE 21.5 BLACKJACK VALUE OF THE CARDS The game uses a modified 52-card deck with aces through nines (the standard spades, hearts, clubs and diamonds) and 16 cards specially marked with the word “Bonus” (four of each "king", "queen", "jack", and "ten" card). The game is played with a minimum of a single deck to a maximum of eight decks.