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Lecture Notes 1 Basic Probability - Stanford University

Lecture Notes 1 Basic Probability Set Theory elements of Probability Conditional Probability Sequential Calculation of Probability Total Probability and Bayes Rule Independence CountingEE 178/278A: Basic ProbabilityPage 1 1 Set 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 B⊂ Ameans that every element of B is an element of A • A universal set Ω contains all objects of particular interest in a particular context, e.g., sample space for random experiment EE 178/278A: Basic Probability Page 1–2

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