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Summary 2

# Summary 2 - Chapter 2 summary Axioms of Probability...

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Chapter 2 summary Axioms of Probability Discrete sample space: Suppose we have an experiment for which there are either a finite or countably infinite set of possible elementary outcomes. The set S consisting of all of the possible elementary outcomes is called the sample space of the experiment. Any subset of the sample space is referred to as an event . The empty set , denoted by , is the event with no elementary outcomes in it (the empty set is assumed to be a subset of any set, so it is considered to be an event). If A is an event, the complement of A , denoted by A c , is the set of elementary outcomes of S that are not in A . If { A i } i is either a finite or countably infinite set of events, we say these sets are mutually exclusive if for any pair of them A i and A j , we have A i A j = , i.e. their intersection is empty. Sets described in symbols and words: A = “event A occurs” A B = A occurs or B occurs” = “at least one of A or B occurs” i A i =

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