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Unformatted text preview: Basic Concepts of Probability Basic Concepts of Probability CEE 431/ESS465 CEE 431/ESS465 Basic Concepts of Probability Basic Concepts of Probability Sample spaces and events Venn diagram A Sample space, Event, A Intersection of sets A Sample space, B A B U Basic Concepts of Probability Basic Concepts of Probability Sample spaces and events Union of sets A Sample space, B A B U Basic Concepts of Probability Basic Concepts of Probability Sample spaces and events The probability of an even is represented by a number greater than or equal to zero but less than or equal to 1: 0 < P[A] < 1 The probability of an event equal to the entire sample space is 1 P[ ] = 1 The probability of an event representing the union of two mutually exclusive events is equal to the sum of the probabilities of the two events P[A U B] = P[A] + P[B] Basic Concepts of Probability Basic Concepts of Probability Axioms of probability P[A U B] = P[A] + P[B]  P[A B] A Sample space, B A B U U Basic Concepts of Probability Basic Concepts of Probability Probabilities of events P[A  B]...
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This note was uploaded on 08/09/2009 for the course CEE 431 taught by Professor Eberhard during the Winter '06 term at Washington University in St. Louis.
 Winter '06
 Eberhard

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