# Restricted Choice AK10xx xxxx. and the Monty Hall Problem

Save this PDF as:

Size: px
Start display at page:

## Transcription

1 Restricted Choice AK10xx xxxx and the Monty Hall Problem

2 Monty Hall Problem In search of a new car, the player picks a door, say 1. The game host then opens one of the other doors, say 3, to reveal a goat. Monte offers to let the player pick door 2 instead of door 1. Switch or Stay put?

3 Bridge Problem Dummy: AK10xx Declarer: xxxx You play the ace, and the queen falls to your right. You get back to your hand, lead a card, and LHO gives you a low card. Do you finesse the 10, or play the king?

4 Solution to Monty Hall Problem/Three Cases behind door 1 behind door 2 behind door 3 result if staying at door #1 result if switching to the door offered Car Goat Goat Car Goat Goat Car Goat Goat Car Goat Goat Car Goat Car Three equally likely possibilities. Assume you always pick Door 1. The probability of winning by staying with the initial choice is 1/3, while the probability of winning by switching is 2/3

5 Reaction to Solution After the problem appeared in Parade, approximately 10,000 readers, including nearly 1,000 with PhDs, wrote to the magazine, most of them claiming it was wrong.

6 Solution to Monty Hall Problem/Two Cases You observe that door 3 opened, not door 2, so throw the last case out. The car is behind door 1 or door 2. But these are not equal cases. If the car is behind door 2, then this is one case. Monte has a restricted choice. He won t show door 2 If the car is behind door 1, Monty has a real choice whether to open door two or door three, not the restricted choice if it was behind door 2. So in this case, the appearance of the goat behind door 3 is only half a case. Thus we have odds of 1:½, or 2/1 in favor of switching.

7 Case 1: xx Solution to Bridge Problem/Three Cases AK10xx QJ xxxx Case 2: Jxx AK10xx xxxx Q Case 3: Qxx AK10xx xxxx J In two cases out of three you win by finessing the 10.

8 Solution to Bridge Problem/Two Cases One might argue that case 3, with the stiff jack, can be eliminated, since the queen appeared. But if RHO has only one card, he has no choice, and the stiff queen is one case. But if he has QJ stiff, he can play either one. So seeing the queen when RHO has QJ is in a sense, only half a case, not one of equal likelihood. Again, it s 1:½, or 2/1 in favor of the finesse.

9 Restricted Choice of LHO The sense that you have a shot either way can be traced to the assumption that the LHO plays randomly when declarer leads. But LHO has restricted choice of a different kind. If LHO started with Jxx, he s necessarily going to play a low card on each of the first two rounds.

10 Restricted Choice Missing K & Q Dummy: AJ10xx Declarer: xxxx You finesse the 10 first round and RHO takes the trick with the king. You get back to your hand, lead low, LHO plays low. Finesse the Jack or play the Ace? Odds strongly favor the finesse

11 Solution to Missing K and Q Case 1: xx Case 2: Kxx Case 3: Qxx AJ10xx xxxx AJ10xx xxxx AJ10xx xxxx KQ Q K In two cases out of three you win by finessing the jack on the second round.

12 Restricted Choice Missing A, K, 10 Dummy: QJ9 Declarer: xxx You play from hand, LHO plays low, and the queen fetches the ace from RHO. Back in hand, you play low, LHO plays low. Do you play the jack or finesse the 9? Odds strongly favor playing the jack.

13 Solution to Missing A, K, 10 Case 1: xxxx Case 2: Kxxx Case 3: Axxx QJ9 xxx QJ9 xxx QJ9 xxx AKx Axx Kxx Finessing the 9 on the second round is a 50% shot. But the jack wins 2 out of 3 times.

14 Summary Missing Two Touching Honors When one of the two honors shows up, it s twice as likely the other opponent has the missing one. You ve learned no information from which of the two honors the RHO dropped.

15 Extreme Example: Missing J, 10, 9 Dummy: AKQ8 Declarer: xxx The Ace drops the 9 and the King drops the 10. You lead low from your hand and LHO plays low. Finesse the 8 or play the queen? There are 4 cases for RHO: J109, J10, J9, 109. In 3 out of four cases, the third-round finesse will be right!

16 Defensive Strategies Dummy: AK10xx Declarer: xxxx 1. Mix it up with touching honors! Don t play reliably, either the highest or the lowest. If you regularly play the Q from QJ, this gives away the store. Similarly, don t consistently play J from QJ. This would be as if Monte Hall reliably opens door 3 if the car is behind door 1.

17 Defensive Strategies Dummy: AK10xx Declarer: xxxx 2. Don t signal count! If you have J43 on the left, don t necessarily play the 3, then the 4. If you have 43 only, don t necessarily play the 4.

18 Historical Notes Marilyn von Savant answered the Monte Hall problem in 1990 in Parade Magazine. Terrence Reese and Alan Truscott dealt with the Restricted Choice problem in the early 1950 s.

### 52 FACTS OF BRIDGE LIFE Good Advice To Give Your Partner By Eddie Kantar

52 FACTS OF BRIDGE LIFE Good Advice To Give Your Partner By Eddie Kantar Surely a player of your bridge skills is familiar with most or all of the following tips you are about to read. But is your partner?

### Playing the Hand. Karen Walker s Online Notes

Playing the Hand Karen Walker s Online Notes Found on: http://www.prairienet.org/bridge/ Playing the Hand... 1 Karen Walker s Online Notes... 1 Declarer Play I -- Forming a Plan... 2 Playing Suit Contracts...

### STANDARD OPENING LEADS (WHICH CARD)

STANDARD OPENING LEADS (WHICH CARD) There are two main aspects to deciding the opening lead; which suit to lead, and which card in that suit. Here we shall only consider which card to lead in a specific

### Learning Points Competitive Bidding Basic Hand Evaluation January 25, 2011

Learning Points Competitive Bidding Basic Hand Evaluation January 25, 2011 By Steve Moese Bidding Level: Basic Tuesday Night Lecture Series Here s our learning plan: Hand Evaluation: HCP & shape tricks

### BEGINNER S BRIDGE NOTES. Leigh Harding

BEGINNER S BRIDGE NOTES Leigh Harding PLAYING THE CARDS IN TRUMP CONTRACTS Don t play a single card until you have planned how you will make your contract! The plan will influence decisions you will have

### Card Play Worksheets:

Card Play Worksheets: 1 Planning the Play at no-trump 2 The Hold-up 3 Common Card Combinations 4 Planning the Play at a Trump Contract 5 Elimination and Endplay 6 Counting 7 The Duck 8 Loser-on-loser Play

### to name the four suits of cards to sort the pack into suits the names ace, king, queen, jack the value of the cards- ie ace is highest, 2 is lowest.

1 Lesson 1 Today we are learning: to name the four suits of cards to sort the pack into suits the names ace, king, queen, jack the value of the cards- ie ace is highest, 2 is lowest. one pack of cards

### R Simulations: Monty Hall problem

R Simulations: Monty Hall problem Monte Carlo Simulations Monty Hall Problem Statistical Analysis Simulation in R Exercise 1: A Gift Giving Puzzle Exercise 2: Gambling Problem R Simulations: Monty Hall

### Introduction to The Weak 1NT Opener Part 2 of 3

Introduction to The Weak 1NT Opener Part 2 of 3 This article is the second of three introducing the weak 1NT opening bid (12-14 HCP). In the first article, I discussed uncontested auctions in which there

### A Beginners Guide to Contract Bridge. January 16, 2009

A Beginners Guide to Contract Bridge January 16, 2009 1 Contents 1 Introduction 6 1.1 Beginning a ew Hand...................... 6 1.2 Bidding.............................. 7 1.2.1 Legal Calls........................

### LET S MAKE A DEAL! ACTIVITY

LET S MAKE A DEAL! ACTIVITY NAME: DATE: SCENARIO: Suppose you are on the game show Let s Make A Deal where Monty Hall (the host) gives you a choice of three doors. Behind one door is a valuable prize.

1-1-1 LEADS AGAINST NOTRUMP CONTRACTS Honor Leads Honor leads against notrump contracts include not only information about neighboring honors (e.g., the king lead shows the queen too), but also may request

Opening Leads & signals 2004-2009 Barry C. Harper Why do we have agreements about our leads and how we signal? It is a reason tied in with the very definition of the game. Declarer can see two hands and

### OVERCALLS - General Style Natural; SUIT 3rd/5th; 4th; Attitude; Rusinow;

DEFENSIVE AND COMPETITIVE BIDDING LEADS AND SIGNALS OVERCALLS - General Style Natural; SUIT 3rd/5th; 4th; Attitude; Rusinow; Responses New suit = 7 to 14 hcp, not forcing; OPENING Others 1NT = 9 to 14

### The Casino Lab STATION 1: CRAPS

The Casino Lab Casinos rely on the laws of probability and expected values of random variables to guarantee them profits on a daily basis. Some individuals will walk away very wealthy, while others will

### OPENING LEADS. Audrey Grant. How to Take More Tricks on Defense THE IMPACT OF AGAINST NOTRUMP CONTRACTS

BIL Presentation - February 20, 2013 THE AUDREY GRANT BETTER BRIDGE SERIES THE IMPACT OF OPENING LEADS AGAINST NOTRUMP CONTRACTS How to Take More Tricks on Defense Audrey Grant The Impact of Opening Leads

### DEFENSIVE AND COMPETITIVE BIDDING

DEFENSIVE AND COMPETITIVE BIDDING LEADS AND SIGNALS W B F CONVENTION CARD OVERCALLS (Style: Responses: 1 / 2 Level; Reopening) OPENING LEADS STYLE 1 level = 8+ Lead In Partner s Suit CATEGORY: Green 2

### The Monty Hall Problem

Gateway to Exploring Mathematical Sciences (GEMS) 9 November, 2013 Lecture Notes The Monty Hall Problem Mark Huber Fletcher Jones Foundation Associate Professor of Mathematics and Statistics and George

### DEFENCE AGAINST NO TRUMPS bseagram@ca.inter.net

DEFENCE AGAINST NO TRUMPS bseagram@ca.inter.net www.barbaraseagram.com CLASS TOPICS Opening Leads vs. NT & Special Leads vs NT; Exceptions to 3rd Hand Play; Rule of 11 to Guide Third Hand Play; Defensive

### 2008 NABC Bridge Quiz with Answers

Question 1: 2008 NABC Bridge Quiz with Answers Imps: N-S vul. You, South, hold: 75 AK1052 AKJ732 --- By Michael Rosenberg --- --- 1 4 A) Which of the following choices do you prefer i) 6 ii) 5 iii) Other

### Book Review of Rosenhouse, The Monty Hall Problem. Leslie Burkholder 1

Book Review of Rosenhouse, The Monty Hall Problem Leslie Burkholder 1 The Monty Hall Problem, Jason Rosenhouse, New York, Oxford University Press, 2009, xii, 195 pp, US \$24.95, ISBN 978-0-19-5#6789-8 (Source

### LESSON 7. Leads and Signals. General Concepts. General Introduction. Group Activities. Sample Deals

LESSON 7 Leads and Signals General Concepts General Introduction Group Activities Sample Deals 330 More Commonly Used Conventions in the 21st Century General Concepts This lesson covers the defenders conventional

### Book One. Beginning Bridge. Supplementary quizzes and play hands. 2011 edition

Book One Beginning Bridge Supplementary quizzes and play hands 2011 edition Chapter One : Getting started with bridge TR1 How many points in each hand? TR2 Hands 1-8 for the first lesson TR3 MiniBridge

### Bridge Scoring, Strategies, and Tactics

Bridge Scoring, Strategies, and Tactics Pete Matthews November 27, 2009 The game of Contract Bridge has two basic methods of scoring: rubber bridge scoring and duplicate bridge scoring. In either form,

### LESSON 1. Opening Leads Against Notrump Contracts. General Concepts. General Introduction. Group Activities. Sample Deals

LESSON 1 Opening Leads Against Notrump Contracts General Concepts General Introduction Group Activities Sample Deals 8 Defense in the 21st Century GENERAL CONCEPTS Defense The opening lead against notrump

### Appendix D: The Monty Hall Controversy

Appendix D: The Monty Hall Controversy Appendix D: The Monty Hall Controversy - Page 1 Let's Make a Deal Prepared by Rich Williams, Spring 1991 Last Modified Fall, 2004 You are playing Let's Make a Deal

### 1. Contract bridge I. Title.II Title. GV1282.3.M468 2002 795.41 5 C2002-901837-4

2002 Marshal Miles All rights reserved. It is illegal to reproduce any portion of this material, except by special arrangement with the publisher. Reproduction of this material without authorization, by

### Take-Home Math Games!

The games below can all be played using a Deck of Cards, and they help students practice math skills. Email eelliott@hearttutoring.org with any questions. CARD GAMES TO SUPPORT COUNTING Red Cards Win Students

### PROBABILITY C A S I N O L A B

A P S T A T S A Fabulous PROBABILITY C A S I N O L A B AP Statistics Casino Lab 1 AP STATISTICS CASINO LAB: INSTRUCTIONS The purpose of this lab is to allow you to explore the rules of probability in the

### Gatlin/Cincinn Lecture Basic Bidding and those problem hands

Gatlin/Cincinn Lecture Basic Bidding and those problem hands Assumptions: (IN ORDER OF IMPORTANCE) Natural bidding = long suit first Reverses show extra values; 1 round force Openers jump shift rebids

### Cinch Card Game - The Rules and how to play

Cinch Card Game - The Rules and how to play This document provides you with the rules and then an explanation how to play with some examples. Have fun! The Rules Terms to understand: Trick: one card from

### Solving the Monty Hall Problem with Simulations: A super-simple intro to loops and if statements in R

Tutorial Solving the Monty Hall Problem with Simulations: A super-simple intro to loops and if statements in R Bodo Winter 1 Last updated: January 12, 2012 Introduction Have you heard of the Monty Hall

### LEADS AND SIGNALS DEFENSIVE AND COMPETITIVE BIDDING

DEFENSIVE AND COMPETITIVE BIDDING LEADS AND SIGNALS WBF and FSB Convention Card OVERCALLS (Style; Responses; 1/2 Level; Reopening) OPENING LEADS STYLE 1-level: (6)8-16, normally 5+ suit (occasionally 4)

### Players and Cards. There are 4 players; partners sit across from each other.

Pinochle is a classic 2-player game that was developed in the United States during the 19th century. It is still one of the country s most popular games today. The basic game of Pinochle is Two-Hand Pinochle,

### Probability. a number between 0 and 1 that indicates how likely it is that a specific event or set of events will occur.

Probability Probability Simple experiment Sample space Sample point, or elementary event Event, or event class Mutually exclusive outcomes Independent events a number between 0 and 1 that indicates how

### Introduction and Overview

Introduction and Overview Probability and Statistics is a topic that is quickly growing, has become a major part of our educational program, and has a substantial role in the NCTM Standards. While covering

### LESSON 7. Managing the Trump Suit. General Concepts. General Introduction. Group Activities. Sample Deals

LESSON 7 Managing the Trump Suit General Concepts General Introduction Group Activities Sample Deals 170 Lesson 7 Managing the Trump Suit GENERAL CONCEPTS Play of the Hand Drawing trumps Playing the trump

### Gin Rummy (for 2 players)

Gin Rummy (for 2 players) The Deck One standard deck of 52 cards is used. Cards in each suit rank, from low to high: Ace 2 3 4 5 6 7 8 9 10 Jack Queen King. The cards have values as follows: Face cards

### Lecture 2: Probability

Lecture 2: Probability Assist. Prof. Dr. Emel YAVUZ DUMAN MCB1007 Introduction to Probability and Statistics İstanbul Kültür University Outline 1 Introduction 2 Sample Spaces 3 Event 4 The Probability

### Why learn about Defensive Carding?

Why learn about Defensive Carding? For Defenders: It is said often that defence is the most difficult aspect of the game. So any help in this arena will certainly improve your game. Declarer has full knowledge

### Opening Leads. There are 2 considerations to opening leads: which suit (more important) which card

Opening Leads There are 2 considerations to opening leads: which suit (more important) which card Which Suit to Lead (in order of preference) 1. partner s suit one of my cardinal rules is always lead your

### Lecture 13. Understanding Probability and Long-Term Expectations

Lecture 13 Understanding Probability and Long-Term Expectations Thinking Challenge What s the probability of getting a head on the toss of a single fair coin? Use a scale from 0 (no way) to 1 (sure thing).

OKbridge 2/1 Notes Copyright OKbridge 1998 All Rights Reserved This description of the OKbridge 2 over 1 system assumes that you are already familiar with the Standard American Yellow Card. CONTENTS CHAPTER

### Open New suit: F1. UCB usually promises 3 card support. * Suit 4 th ( 2nd from bad suits) Low from odd

DEFENSIVE AND COMPETITIVE BIDDING LEADS AND SIGNALS W B F CONVENTION CARD OVERCALLS (Style: Responses: 1 / 2 Level; Reopening) OPENING LEADS STYLE CATEGORY 1 level usually 5 cards: 7-17 HCP. 2 level constructive

### Definition and Calculus of Probability

In experiments with multivariate outcome variable, knowledge of the value of one variable may help predict another. For now, the word prediction will mean update the probabilities of events regarding the

### DO NOT POST THESE ANSWERS ONLINE BFW Publishers Chapter 5

Section 5.1 Chapter 5 Check Your Understanding, page 292: 1. (a) If you asked a large sample of U.S. adults whether they usually eat breakfast, about 61% of them will answer yes. (b) In a random sample

### ACBL SAYC SYSTEM BOOKLET

ACBL SAYC SYSTEM BOOKLET Revised January 2006 OVERVIEW The ACBL Standard American Yellow Card (SAYC) was created to be the required system to be used in a Standard Yellow Card event. The object was to

### Puzzle Corner Jul Technology Review Page 1 INTRODUCTION

Puzzle Corner Jul Technology Review Page 1 INTRODUCTION It has been a year since I reviewed the criteria used to select solutions for publication. Let me do so now. As responses to problems arrive, they

### The Monty Hall Debate

The Monty Hall Debate FAIR USE NOTICE. This document contains copyrighted material whose use has not been specifically authorized by the copyright owner. The CHANCE project is making this material available

### Elements. The Times Table Game. Earth Water Air Fire

Elements The Times Table Game Earth Water Air Fire Elements The Times Table Game Top Trumps with an edge. Materials The game uses 30 Element cards. Each card features four different multiplication facts

### St. Hilary CARD PARTY WEDNESDAYS House Rules Version 3 Rules of 4 hand single deck Pinochle based on Hoyle

St. Hilary CARD PARTY WEDNESDAYS House Rules Version 3 Rules of 4 hand single deck Pinochle based on Hoyle Principal Rule of Play We are a congenial, respectful and attentive people of God. The primary

### Odds: Odds compares the number of favorable outcomes to the number of unfavorable outcomes.

MATH 11008: Odds and Expected Value Odds: Odds compares the number of favorable outcomes to the number of unfavorable outcomes. Suppose all outcomes in a sample space are equally likely where a of them

### DOUBLE TROUBLE. A common error committed by inexperienced players is making a takeout double of 1D with this type of hand:

DOUBLE TROUBLE Along with my good friend Bernie Chazen, I used to give entire multi-day seminars on doubles. We always started the same way. Bernie would waddle up to the microphone (picture 300+ pounds

### STAGE 2 ASB Fun Football (7-8 years) GAMES & ACTIVITIES

Junior Framework STAGE 2 ASB Fun Football (7-8 years) GAMES & ACTIVITIES 1 COMPONENT TRAINING - WEEK 1 FLAG TAG (GENERAL MOVEMENT) 1. Create an area as large as possible (30m x 20m) 2. All start inside

### Texas Hold em. From highest to lowest, the possible five card hands in poker are ranked as follows:

Texas Hold em Poker is one of the most popular card games, especially among betting games. While poker is played in a multitude of variations, Texas Hold em is the version played most often at casinos

### By a show of hands... How many have ever read a book on opening leads??

Many of you know me... for those of you who don t, my name is Kismet Fung...I'm not a professional bridge player or bridge teacher, and I personally find opening leads the most difficult part of this game

### Cribbage from Start to Finish!

Cribbage from Start to Finish! By: Mike Svendsen The goal of these instructions is to teach you how to play Cribbage. At first glance, cribbage may seem like an extremely complex game. But truly, the only

### Dice and Card Games to Practice Math Facts

Card Games Go Fish! Dice and Card Games to Practice Math Facts This new twist on the old classic Go Fish! helps kids to learn addition by mentally working out simple math problems. Each round played practices

### 8. You have three six-sided dice (one red, one green, and one blue.) The numbers of the dice are

Probability Warm up problem. Alice and Bob each pick, at random, a real number between 0 and 10. Call Alice s number A and Bob s number B. The is the probability that A B? What is the probability that

Math Card Games brought to you by Copyright 2008 Teresa Evans. All rights reserved. Math Card Games Did you know that there are many math games that can be played with a simple deck of playing cards? This

### Rules of Schafkopfen

1 Rules of Schafkopfen Publisher: Schafkopfschule e.v. 1. The game of Schafkopfen 1.1. General history 1.2. The cards 1.3. The aim of the game 1.4. Expressions 2. Announcement of play 2.1. Seating 2.2.

### "25 Things You Need to Know About Summer Camps, Recruiting Clinics, and Travel Teams

"25 Things You Need to Know About Summer Camps, Recruiting Clinics, and Travel Teams If you been around youth sports you ve probably heard knowledgeable people passionately say these two phrases Recruiting

### Week 2: Conditional Probability and Bayes formula

Week 2: Conditional Probability and Bayes formula We ask the following question: suppose we know that a certain event B has occurred. How does this impact the probability of some other A. This question

### USING PLAYING CARDS IN THE CLASSROOM. What s the Pattern Goal: To create and describe a pattern. Closest to 24!

USING PLAYING CARDS IN THE CLASSROOM You can purchase a deck of oversized playing cards at: www.oame.on.ca PRODUCT DESCRIPTION: Cards are 4 ½ by 7. Casino quality paperboard stock, plastic coated. The

### Section 2.1. Tree Diagrams

Section 2.1 Tree Diagrams Example 2.1 Problem For the resistors of Example 1.16, we used A to denote the event that a randomly chosen resistor is within 50 Ω of the nominal value. This could mean acceptable.

### Roman Keycard Blackwood (Part 1) By Fred Gitelman

Roman Keycard Blackwood (Part 1) By Fred Gitelman The Blackwood convention was developed about 60 years ago by Easley Blackwood of Indianapolis, one of the great Bridge players and theorists of his time.

### Monty Hall, Monty Fall, Monty Crawl

Monty Hall, Monty Fall, Monty Crawl Jeffrey S. Rosenthal (June, 2005; appeared in Math Horizons, September 2008, pages 5 7.) (Dr. Rosenthal is a professor in the Department of Statistics at the University

### Digital Interactive Poker

6.111 Final Project Proposal Amy Daitch Elizabeth Murnane Digital Interactive Poker Overview: We plan to implement a game of five card draw poker for a single player (against the computer- the dealer).

### Math 728 Lesson Plan

Math 728 Lesson Plan Tatsiana Maskalevich January 27, 2011 Topic: Probability involving sampling without replacement and dependent trials. Grade Level: 8-12 Objective: Compute the probability of winning

### Avoiding the Consolation Prize: The Mathematics of Game Shows

Avoiding the Consolation Prize: The Mathematics of Game Shows STUART GLUCK, Ph.D. CENTER FOR TALENTED YOUTH JOHNS HOPKINS UNIVERSITY STU@JHU.EDU CARLOS RODRIGUEZ CENTER FOR TALENTED YOUTH JOHNS HOPKINS

### UNDERGROUND TONK LEAGUE

UNDERGROUND TONK LEAGUE WWW.TONKOUT.COM RULES Players are dealt (5) five cards to start. Player to left of dealer has first play. Player must draw a card from the deck or Go For Low. If a player draws

### DOUBLES TENNIS LEAGUE *The following rules provided by Purdue Intramural Sports are not meant to be all encompassing.*

DOUBLES TENNIS LEAGUE *The following rules provided by Purdue Intramural Sports are not meant to be all encompassing.* SECTION 1. TOURNAMENT FORMAT I. League Overview A. The league will consist of a five

### YOUTH SOCCER PRACTICE PLAN

Practice #1 5 minutes Introduce yourself and have players introduce themselves 7 minutes Show positions and field layout - Have players stand at each position to help visualize 8 minutes Dribbling - Demonstrate

### Contemporary Mathematics- MAT 130. Probability. a) What is the probability of obtaining a number less than 4?

Contemporary Mathematics- MAT 30 Solve the following problems:. A fair die is tossed. What is the probability of obtaining a number less than 4? What is the probability of obtaining a number less than

### Directions: Have the players practice passing the ball back and forth with the person at the cone across from them.

Indoor Soccer Drills- Easy Basic Passing Drill Set Up: Place five cones in a line evenly spaced down the court. Place another set of five cones facing the other set of cones about 10 yards apart (see diagram).

### OCTAGON 5 IN 1 GAME SET

Chess, Checkers, Backgammon, Dominoes and Poker Dice August 2012 UPC Code 7-19265-51821-3 HOW TO PLAY CHESS Chess Includes: 16 Dark Chess Pieces 16 Light Chess Pieces Board Start Up Chess is a game played

### Sports Activity Pack

Sports Activity Pack Sports Activity Pack Active Schools has created this games pack to provide you with ideas for games and specific sports to assist you with school clubs, PE classes or playground activities.

### PROBABILITY. Thabisa Tikolo STATISTICS SOUTH AFRICA

PROBABILITY Thabisa Tikolo STATISTICS SOUTH AFRICA Probability is a topic that some educators tend to struggle with and thus avoid teaching it to learners. This is an indication that teachers are not yet

### Introduction To The 2 Over 1 Game Force System Part 1

Introduction To The 2 Over 1 Game Force System Part 1 This is the first of two articles introducing the basic principles of the 2 Over 1 Game Force bidding system. In this article, I will discuss auctions

### Mental Math Addition and Subtraction

Mental Math Addition and Subtraction If any of your students don t know their addition and subtraction facts, teach them to add and subtract using their fingers by the methods taught below. You should

### Table operations & dealer procedures. Blackjack Switch. (Blackjack Switch at The 4 Queens, Las Vegas)

Table operations & dealer procedures. Blackjack Switch (Blackjack Switch at The 4 Queens, Las Vegas) Last Revision March 2003 Geoff Hall geoff@blackjackswitch.com 1 Table operations & dealer procedures.

### Chess Tournament Guide for Parents

Chess Tournament Guide for Parents This is a very complete but long introduction to tournament chess for parents. If you would like to access quickly something, the quick guide below might be useful. These

### Introduction to Discrete Probability. Terminology. Probability definition. 22c:19, section 6.x Hantao Zhang

Introduction to Discrete Probability 22c:19, section 6.x Hantao Zhang 1 Terminology Experiment A repeatable procedure that yields one of a given set of outcomes Rolling a die, for example Sample space

### 20 GREAT ASPHALT GAMES

20 GREAT ASPHALT GAMES Bill Allan, bill.allan@wnlsd.ca, 637-4021 GAMES REQUIRING STENCILS (Stencils available from Bill Allan) 1. Hopscotch with Home Using a pebble or a small object as a marker, the first

### 8.3 Probability Applications of Counting Principles

8. Probability Applications of Counting Principles In this section, we will see how we can apply the counting principles from the previous two sections in solving probability problems. Many of the probability

### Solutions for Practice problems on proofs

Solutions for Practice problems on proofs Definition: (even) An integer n Z is even if and only if n = 2m for some number m Z. Definition: (odd) An integer n Z is odd if and only if n = 2m + 1 for some

### Math Games with a Deck of Cards

Math Games with a Deck of Cards Multiplication/Division Chart Games to play at home to practice math skills Tips for playing math card games: You can play with a regular deck of cards. Some games may need

### DOUBLES TENNIS LEAGUE

DOUBLES TENNIS LEAGUE *The following rules provided by Purdue Intramural Sports are not meant to be all encompassing. Please refer to the Participant Manual for comprehensive eligibility guidelines, policies,

### Worldwide Casino Consulting Inc.

Card Count Exercises George Joseph The first step in the study of card counting is the recognition of those groups of cards known as Plus, Minus & Zero. It is important to understand that the House has

### Poker. 10,Jack,Queen,King,Ace. 10, Jack, Queen, King, Ace of the same suit Five consecutive ranks of the same suit that is not a 5,6,7,8,9

Poker Poker is an ideal setting to study probabilities. Computing the probabilities of different will require a variety of approaches. We will not concern ourselves with betting strategies, however. Our

### Discrete Mathematics and Probability Theory Fall 2009 Satish Rao, David Tse Note 10

CS 70 Discrete Mathematics and Probability Theory Fall 2009 Satish Rao, David Tse Note 10 Introduction to Discrete Probability Probability theory has its origins in gambling analyzing card games, dice,

### I BRING A LETTER FOR... Section 1. Preparation. Time: 5-10 minutes Group size: 20-30

Ice-breakers The following icebreakers are all short, fun activities to use for energising the group. They are useful when you first start working with a new group to develop a good group feeling and at

### Champion Poker Texas Hold em

Champion Poker Texas Hold em Procedures & Training For the State of Washington 4054 Dean Martin Drive, Las Vegas, Nevada 89103 1 Procedures & Training Guidelines for Champion Poker PLAYING THE GAME Champion

### NAME: NUMERACY GAMES WITH DICE AND CARDS. A South African Numeracy Chair initiative

NAME: NUMERACY GAMES WITH DICE AND CARDS A South African Numeracy Chair initiative CONTENTS Games in the classroom 3 Benefits 3 Mathematical games are 'activities' which: 3 More benefits 3 Competition

### The Ultimate Blackjack System

The Ultimate Blackjack System Thank you Thank you for your interest in this incredible system. Soon you will be making money from online Blackjack. This book comes with full resale rights. Please feel

### A collection of 9-1 Maths GCSE Sample and Specimen questions from AQA, OCR, Pearson-Edexcel and WJEC Eduqas. Name: Total Marks:

Probability 2 (H) A collection of 9-1 Maths GCSE Sample and Specimen questions from AQA, OCR, Pearson-Edexcel and WJEC Eduqas. Name: Total Marks: 1. Andy sometimes gets a lift to and from college. When

### SUPERPRECISION CLUB GENERALITIES

SUPERPRECISION CLUB The famous Italian pair Benito Garrozzo Giorgio Belladona, holders of numerous international titles and, unquestionable, one of the best pair in the world, adopted many years ago the