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A Probabilistic Study of Dice Control in Craps
Golden Arm: A Probabilistic Study of Dice Control in Craps Donald R. Smith Robert Scott III Abstract This paper calculates how much control a craps shooter must possess on dice outcomes to eliminate the house advantage. A golden arm is someone who has dice control (or a rhythm roller or dice influencer). There are various strategies for dice control in craps. We discuss several possibilities of dice control that would result in several different mathematical models of control. We do not assert whether dice control is possible or not (there is a lack of published evidence). However, after studying casino-legal methods described by dice-control advocates, we can see only one realistic mathematical model that describes the resulting possible dice control, that in which the four faces on a rotating (horizontal) axis are favored. This is the model that we analyze in this paper. Keywords: craps; dice; dice control; probability Donald R. Smith Associate Professor Department of Management and Decision Sciences Monmouth University [email protected] Robert Scott III Professor Department of Economics, Finance, and Real Estate Monmouth University [email protected] UNLV Gaming Research & Review Journal t Volume 22 Issue 1 29 Wine loved I deeply, dice dearly (William Shakespeare, King Lear, Act 3, Scene 4) Introduction Craps is a unique casino game because the shooter directly affects (i.e., picks up and throws) the gambling instruments (dice). Craps players, more than other casino gamblers, may be the most susceptible to Langer’s (1975) illusion of control where they think they can control the outcome of a random game. -
Table Game Progressives
TABLE GAME PROGRESSIVES JACK Cleveland is excited to offer Table Games Progressive Wagers. These progressives can be found at our Blackjack, Pai Gow, Three Card Poker, Four Card Poker, Ultimate Texas Hold’em, Let It Ride and Mississippi Stud tables. See below for additional information regarding these progressives: Blazing 7’s Progressive (Blackjack) The Blazing 7’s Progressive is an optional $5 side bet for blackjack. Players must make a standard blackjack bet in order to make a Blazing 7’s progressive bet. This bet considers both the player’s initial two cards and the dealer’s up card. If the player does not have at least one 7 in the player’s initial two cards, the progressive bet will lose. If the player’s initial two cards contain at least one 7, the player’s Blazing 7’s Progressive side wager is paid according to the following payable: Hand Payouts Three 7's – Same Suit 100% Three 7's – Same Color 10% Three 7's $1,000.00 First 2 Cards (Player’s) – Two 7's $125.00 First 2 Cards (Player’s) – One 7 $10.00 *Original Wager is NOT Returned *Note: The Two 7’s payout is based only upon the player’s first two cards. Fortune Pai Gow Progressive The Fortune Pai Gow Progressive is an optional $1 side bet for Pai Gow Poker. Players must make a standard Pai Gow bet in order to make a Fortune Pai Gow Progressive bet. The bet considers the best hand possible among all the player’s cards. If the player has a hand that contains a qualifying winning Fortune Pai Gow Progressive wager, the wager will be paid according to the following payable: Hand Payouts 7 Card Straight Flush 100% 5 Aces 10% Royal Flush $500.00 Straight Flush $100.00 Four of a Kind $75.00 Full House $4.00 *Original Wager is NOT Returned *Note: The Joker is used to complete a Straight, Flush and Straight Flush; Otherwise the Joker substitutes for an Ace. -
MISSISSIPPI STUD Mississippi Stud® Is a Five-Card Poker Game That Lets You Bet up to 10 Units on a Single Hand
MISSISSIPPI STUD Mississippi Stud® is a five-card poker game that lets you bet up to 10 units on a single hand. In Mississippi Stud, you compete against a paytable, not against the dealer, and you win if your hand is a pair of jacks or better. The top payout is 500 to 1 for a royal flush-and it pays on all bets! It also features an optional 3 Card Bonus side bet. GETTING STARTED Make an ante bet to receive your first two cards. The dealer will place three community cards face down in the middle of the layout. PLAY OR FOLD At this point, you may either fold or make the 3rd Street bet of 1x-3x your ante. The dealer then reveals the first community card. Once you see the first community card, you have a choice: fold or make the 4th Street bet of 1x-3x your ante. The dealer then reveals the second community card. Once again, you can fold or stay in the game by making the 5th Street bet from 1x-3x your ante. Note: When you fold, you forfeit your ante and any additional main game bets placed. The Three Card Bonus bet remains in action until the three community cards are exposed. WINNING & LOSING After the dealer turns over the final community card, he resolves all wagers left in action. You win if your five-card hand is a pair of jacks or better (Pairs of 6s-10s push). See paytable for odds. THREE CARD BONUS (OPTIONAL SIDE BET) You may make the optional Three Card Bonus bet in addition to your standard Mississippi Stud wager. -
Table Games Operations Plan Appendix A
HOLLYWOOD CASINO COLUMBUS TABLE GAMES OPERATIONS PLAN Date Submitted to the OCCC: 08/30/2019 Date Approved by the OCCC: 10/16/2019 TABLE GAMES OPERATIONS PLAN APPENDIX A 1 HOLLYWOOD CASINO COLUMBUS TABLE GAMES OPERATIONS PLAN Date Submitted to the OCCC: 08/30/2019 Date Approved by OCCC: 10/16/2019 Table of Contents General .......................................................................................................................................................... 4 Black Jack ...................................................................................................................................................... 5 Craps ........................................................................................................................................................... 17 Roulette....................................................................................................................................................... 27 3-Card Poker with or without Progressive Jackpot ..................................................................................... 33 6 Card Bonus on 3 Card Poker: ................................................................................................................... 36 Crazy 4 Poker with or without a Progressive Jackpot ................................................................................. 36 Ultimate Texas Hold’Em with or without a Progressive Jackpot ................................................................ 40 Pai Gow Poker ............................................................................................................................................ -
TO PLAY NIAGARA CASINOS Contents
HEALTH AND SAFETY GUIDE SAFE TO PLAY NIAGARA CASINOS Contents Message From The President 3 Reunited And It Feels So Good 4 Hours of Operation 4 Parking 4 Call Centre 4 Casino Restaurants 5 Hotel 5 Entertainment 5 My Offers 5 Promotions 5 Bus Transportation 5 Galleria Shops and Dining 5 We Are In This Together 6 Air Quality 6 Active Screening 6 Contact Tracing 6 Momentum 6 Personal Protective Equipment (PPE) 7 Queueing 8 Hand Sanitizers/Sanitizing Wipes 8 Physical Distancing 8 Front of House Signage 8 Niagara Casinos’ Clean Team 8 Reporting Concerns 8 Safe To Play 9 Slots/Electronic Gaming Machines 9 Table Games 9 Casino Cage/Cash 9 Responsible Gaming 9 We Are Excited To See You 10 2 Message From The President We are excited to welcome you back to Niagara Casinos. We are excited to welcome you back to Niagara Casinos. The health and safety of our guests and associates remains our top priority as we re-open in a new environment, one focused on prevention, health and safety, and of course fun! Our commitment to providing an environment that is Safe to Play puts health and safety at the centre of all we do. We have developed a comprehensive and multilayered plan that has been created after months of consultations with Public Health and Infectious Disease Experts to ensure the safety of our casino family of guests and associates. We will also continue to closely monitor government policy changes, government mandates and public health advancements to enhance our protocols as necessary to maintain the highest level of safety. -
BLACKJACK Date Submitted to the Ohio Casino Control Commission
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................................................................................................................................................... -
Detail Gaming Stats - Public Report Month Ended: June 2019
MISSOURI GAMING COMMISSION DETAIL GAMING STATS - PUBLIC REPORT MONTH ENDED: JUNE 2019 BOAT: ARGOSY RIVERSIDE TABLE GAMES: TABLE TABLE ACTUAL UNITS DROP AGR HOLD % Blackjack Double Deck Blackjack Double Deck Blackjack 21+3 5 796,140.00 212,642.50 26.709% Face Up Blackjack Cajun Stud 1 148,101.00 38,867.00 26.244% Texas Shootout World Tour Poker 2 280,262.00 106,599.00 38.035% Fortune 7 1 1,020,439.00 106,348.00 10.422% Caribbean Stud Craps 2 438,484.00 40,116.00 9.149% Craps No More No Craps, Craps 1 536,674.00 119,986.00 22.357% Dai Bac EZ Bacarrat 45,950.00 (4,876.00) -10.612% Mini Bacarrat 8 3,004,181.00 127,795.00 4.254% Pai Gow Poker 2 151,545.00 32,036.00 21.140% Roulette 3 398,530.00 86,043.00 21.590% Poker w/o bad beat Bad Beat Poker - house funded Bad Beat Poker - player funded Three Card Poker/Stud 1 36,790.00 20,481.00 55.670% Mississippi Stud 1 209,714.00 70,615.00 33.672% BJ 21 +3 15 2,365,442.00 504,281.50 21.319% Trilux High Card Flush 1 144,119.00 46,111.00 31.995% Ultimate Texas Hold'em Table Tournaments Other Rounding TOTAL TABLE GAMES: 43 9,576,371.00 1,507,045.00 15.737% ELECTRONIC GAMING DEVICES: SLOT SLOT ACTUAL UNITS HANDLE AGR PAYOUT % (1) 5 cents 110 10,721,740.40 626,226.99 94.159% 10 cents 2 1,259,968.14 130,086.17 89.675% 25 cents 130 7,997,646.75 556,547.33 93.041% 50 cents 16 1,711,017.00 78,869.50 95.390% $1.00 142 11,580,973.57 939,601.82 91.887% $2.00 11 2,221,694.00 227,475.00 89.761% $5.00 18 2,082,884.48 139,079.41 93.323% $10.00 $25.00 1 98,500.00 38,200.00 61.218% 1 cent 891 78,177,523.38 9,057,816.10 88.414% 2 cents Slot Tournaments Wide Area Progressive Other Rounding TOTAL SLOTS: 1,321 115,851,947.72 11,793,902.32 89.820% TOTAL AGR FOR MONTH: 13,300,947.32 (1) The above payout percentages for slots represent the actual payout for a one month period only. -
Mississippi Gaming Regulations
MISSISSIPPI GAMING REGULATIONS 2013 Edition Revised format June 2013 Table of Contents Title 13: Gaming .......................................................................................................................................... 16 Part 1: Organization and Administration ................................................................................................... 16 Part 1 Chapter 1: GENERAL PROVISIONS .................................................................................................... 16 Rule 1.1 Appointment Of Committees. ................................................................................................... 16 Rule 1.2 Definitions. ................................................................................................................................ 16 Part 1 Chapter 2: PUBLIC AND CONFIDENTIAL RECORDS .......................................................................... 16 Rule 2.1 Definitions. ................................................................................................................................ 16 Rule 2.2 Confidential Records. ................................................................................................................ 18 Rule 2.3 Sealing Of Documents. .............................................................................................................. 19 Rule 2.4 Access To Public Records. ......................................................................................................... 19 Rule 2.5 Access To -
The Theory of Dice Control
SMARTCRAPS.rtf Smart Craps Page 24 of 163 The Theory of Dice Control This chapter is intended as a brief summary only on dice control and the physical skill of dice setting. If you want to master the physical skill of dice setting, you will want to read and consult with some of the resources in the "Resources »Page 7" section of this documentation. Unlike card counting in blackjack, dice setting is a physical skill, and cannot be mastered through reading and mental practice alone. Dice setters attempt to control the physical throw of the dice in such a way as to influence the outcome of the dice. This skill, when used consciously at different points in the game, generates a non-random distribution of outcomes, which the shooter hopes reverses the casino's edge in the game to the player's favor. To understand the physics of dice control, let's look at an actual craps table: Figure 1: Axes of rotation on a craps table With these labels, we can see that a shooter will be throwing the dice along the X axis toward the end of the table. Generally, a skilled dice setter will hold the dice together, parallel to the Z axis, as shown below: SMARTCRAPS.rtf Smart Craps Page 25 of 163 Figure 2: Throwing the dice parallel to the Z axis of the table A typical controlled shooter is attempting to cause the dice to rotate only around the Z axis. In theory, any spin in the Y or X axis can introduce unexpected bounces and a less controlled outcome. -
State of the States 2020 the AGA Survey of the Commercial Casino Industry a Message from the American Gaming Association
State of the States 2020 The AGA Survey of the Commercial Casino Industry A Message from the American Gaming Association June 2020 Dear Gaming Industry Colleague: gaming. Sports betting was being legalized at an unprecedented pace, with 20 states and the District of I am pleased to present State of the States 2020: Columbia having passed legislation allowing consumers The AGA Survey of the Commercial Casino Industry, to bet on sports with legal, regulated operators. the American Gaming Association’s (AGA) signature research report and the definitive economic analysis The AGA continues its important work as your of U.S. commercial gaming in 2019. advocate. Here in Washington, DC, we continue to cultivate Congressional champions from gaming 2019 marked another record-setting year for the communities and strengthen our voice on Capitol commercial gaming segment. Helped in part by the Hill. In states across the country, we are working with expansion of legal sports betting, the commercial industry leaders and regulators to give operators and casino sector logged its fifth consecutive year of suppliers more flexibility in running their businesses gaming revenue growth in 2019—surging 3.7 percent and evolve regulation to meet the demands of our to $43.6 billion, a new historic high. 21st century hospitality industry. At the end of 2019, Americans never had a higher On a personal note, it has been a privilege to get to opinion of our industry and nearly half said they know many of you during my first year as the AGA’s planned to visit a casino over the next year. -
Crystal Park Casino
Crystal Park Casino California Games ASIAN BACCARAT Asian Baccarat is a fast paced game that resembles Baccarat. The object of the game is for your cards to total as close to nine as possible. The goal is for your hand to beat the Player! Dealer hand. DEALING THE GAME In the game, a dealing shoe is used to hold 8 decks of cards. The house dealer deals 4 cards to the croupier in the foHowing sequence: • One card to the croupier. one card tucked under the cumer of the shoe, one card to the croupier. and one card under the corner of the shoe. • The dealer will take the two cards on the corner of the shoe, and place them in front of the croupier in the Playerl De'ller bo". The other two card" wil! be u"ed for the Players hand. (See attachment A)_ • The croupier will turn over the player's cards. • All players making wagers against the Player! Dealer will play the Players hand (as community cards). • If the Players hand IS 7.8. or 9 there will be no additional cards drawn for the Players hand. • If the Players hand totals 4.5. 01" 6 each player betting against the Player/ Dealer will have an option to draw an additional card. (Example: Seat 1 wants to draw a card, seat 2 does not want an additional card, seat 3 and 4 want an additional card, etc.). • The Player! Dealer moves every two hands clockwise around the table in a continuous systematic rotation so that every player has the option of being the Player/ Dealer. -
The Person Whose Turn It Is to Roll the Dice Is the “Shooter.” the Results of the Shooter’S Rolls Will Determine the Outcome for All Players
CRAPS HOW TO PLAY The person whose turn it is to roll the dice is the “shooter.” The results of the shooter’s rolls will determine the outcome for all players. On the shooter’s first roll, or “come-out,” players wager by placing chips on either the Pass Line or the Don’t Pass Line. If the shooter rolls a 7 or 11 on the first throw, Pass Line bets win. If a 2, 3, or 12 is thrown, Pass Line bets lose. Conversely, if the shooter throws a 2 or 3, Don’t Pass wagers win. If a 7 or 11 is thrown, Don’t Pass bets lose. If a 12 is thrown, it is a “push” and no one wins. If a 4, 5, 6, 8, 9, or 10 is rolled, that number becomes the “point,” and is marked on the betting layout with a puck. If he/she rolls this point again before rolling a 7, bets on the Pass Line win, while Don’t Pass bets lose. Then the shooter starts over with a brand new roll. Let’s start with an explanation of Craps terms and how they apply to the game. COME OUT ROLL - This is either the first roll of the dice with a new shooter, or the first roll of the dice after the shooter has made a point. A point is established on the Come Out Roll if the shooter rolls 4, 5, 6, 8, 9, 10. This point must then be rolled again before a 7. Any Player, including the shooter, may either bet on the Pass Line or the Don’t Pass Line prior to the Come Out Roll.