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Book Cover
E-book
Author Moivre, A. De

Title The Doctrine of Chances : a Method of Calculating the Probabilities of Events in Play
Published Abingdon, Oxon : Routledge, 1967

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Description 1 online resource (294 pages)
Contents Cover -- Half Title -- Title Page -- Copyright Page -- Publisher's Note -- Original Title Page -- Dedication -- Table of Contents -- Preface to First Edition (1717) -- Advertisement Concerning This Second Edition (1738) -- The Introduction -- Case I: To Find the Probability of Throwing an Ace in Two Throws -- Case II: To Find the Probability of Throwing an Ace in Three Throws -- Case III: To Find the Probability of Throwing an Ace in Four Throws -- Case IV: To Find the Probability of Throwing Two Aces in Two Throws -- Case V: To Find the Probability of Throwing Two Aces in Three Throws
Case VI: To Find the Probability of Throwing Two Aces in Four Throws -- Case VII: To Find the Probability of Throwing One Ace, and No More in Four Throws -- Case VIII: If a and B Play Together, and That a Wants but 1 Game of Being Up, and B 2 -- What are Their Respective Probabilities of Winning the Set? -- Case IX: A and B Play Together, a Wants 1 Game of Being Up, and B 2 -- but the Chances Whereby B May Win a Game, are Double to the Number of Chances Whereby a May Win the Same: 'tis Requir'd to Assign the Respective Probabilities of Winning
Case X: Supposing That a Wants 3 Games of Being Up, and B 7 -- but That the Proportion of Chances Which a and B Respectively Have for Winning a Game are 3 to 5, to Find the Respective Probabilities of Winning the Set -- Problem I: If a and B Play with Single Bowls, and Such Be the Skill of a That He Knows by Experience He Can Give B Two Games Out of Three -- What Is the Proportion of Their Skill, or What Are the Odds, That a May Get Any One Game Assigned -- Problem II: If a Can Without Advantage or Disadvantage Give B I Game Out of 3
What Are the Odds That a Shall Take Any One Game Assign'd? or in Other Terms, What Is the Proportion of the Chances They Respectively Have of Winning Any One Game Assign'd? or What Is the Proportion of Their Skill? -- Problem III: To Find in How Many Trials an Event Will Probably Happen, or How Many Trials Will Be Necessary to Make It Indifferent to Lay on Its Happening or Failing -- Supposing That a Is the Number of Chances for Its Happening in Any One Trial, and B the Number of Chances for Its Failing
Problem IV: To Find How Many Trials Are Necessary to Make It Probable That an Event Will Happen Twice, Supposing That a Is the Number of Chances for Its Happening in Any One Trial, and B the Number of Chances for Its Failing -- Problem V: To Find How Many Trials Are Necessary to Make It Probable That an Event Will Happen Three, Four, Five, etc. Times -- Supposing That a Is the Number of Chances for Its Happening in Any One Trial, and B the Number of Chances for Its Failing
Notes Problem VI: Three Gamesters A, B, C Play Together on This Condition, That He Shall Win the Set Who Has Soonest Got a Certain Number of Games
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Form Electronic book
ISBN 9781136228537
1136228535