目录 INTRODUCTION:THE NATURE OF PROBABILITY THEORY 1.The Background 2.Procedure 3.“Statistical”Probability 4.Summary 5.Historical Note Ⅰ THE SAMPLE SPACE 1.The Empirical Background 2.Examples 3.The Sample Space.Events 4.Relations among Events 5.Discrete Sample Spaces 6.Probabilities in Discrete Sample Spaces: Preparations 7.The Basic Definitions and Rules 8.Problems for Solution Ⅱ ELEMENTS OF COMBINATORIAL ANALYSIS 1.Preliminaries 2.Ordered Samples 3.Examples 4.Subpopulations and Partitions *5.Application to Occupan.cy Problems *5a.Bose-Einstein and Fermi-Dirac Statistics *5b.Application to Runs 6.The Hypergeometric Distribution 7.Examples for Waiting Times 8.Binomial Coefficients 9.Stirling'S Formula Problems for Solution 10.Exercises and Examples 11.Problems and Complements of a Theoretical 12.Problems and Identities Involving Binomial Coefficients *Ⅲ FLUCTUATIONS IN COIN TOSSING AND RANDOM WALKS 1.General Orientation.The Reflection Principle 2.Random Walks:Basic Notions and Notations 3.The Main Lemma 4.Last Visits and Long Leads *5.Changes of Sign 6.An Experimental Illustration 7.Maxima and First Passages 8.Duality.Position of Maxima 9.An Eauidistribution Theorem 10.Problems for Solution *Ⅳ COMBINATION OF EVENTS 1.Union of Events 2.Application to the Classical Occupancy Problem 3.The Realization of m among N events 4.Application to Matching and Guessing 5.Miscellany 6.Problems for Solution Ⅴ CONDITIONAL PROBABILITY. STOCHASTIC INDEPENDENCE
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