Lecture Notes 1 Basic Probability - Stanford University

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Lecture Notes 1Basic Probability Set theory Elements of Probability Conditional Probability Sequential Calculation of Probability Total Probability and Bayes Rule Independence CountingEE 178/278A: Basic ProbabilityPage 1 1Set theory Basics A set is a collection of objects, which are itselements Ameans that is an element of the setA A set with no elements is called theempty set, denoted by Types of sets: Finite:A={ 1, 2, . . . , n} Countably infinite:A={ 1, 2, . . .}, , the set of integers Uncountable: A set that takes a continuous set of values, , the[0,1]interval, the real line, etc. A set can be described by all having a certain property, ,A= [0,1]can bewritten asA={ : 0 1} A setB Ameans that every element ofBis an element ofA Auniversal set containsallobjects of particular interest in a particularcontext, , sample space for random experimentEE 178/278A: Basic ProbabilityPage 1 2Set Operations Assume a universal set Three Basic operations: Complem

Lecture Notes 1 Basic Probability • Set Theory • Elements of Probability • Conditional probability • Sequential Calculation of Probability • Total Probability and Bayes Rule • Independence • Counting EE 178/278A: Basic Probability Page 1–1 Set Theory Basics • A set is a collection of objects, which are its elements

  Lecture, Theory, Probability