MATH230 Chapter Notes - Chapter 2: Sample Space, Complementary Event
30 Mar 2016
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An important part of the definition of an experiment is a clear specification of the outcomes of the experiment. A performance of an experiment is the carrying out of the activity which defines the experiment once. Each performance of an experiment gives an outcome, and the set of all possible outcomes of an experiment is the sample space of the experiment. For any event that e is a subset of s, the probability of e, denoted pr[e], is defined to be the sum of the probabilities of the outcomes in. E the probability of such an event is the same as the probability assigned to the outcome: thus, for any outcome o, the probability w associated with this outcome is equal to the probability of the event {o}:w=pr[{o}]. For notational convenience we use pr[o] to denote this probability. The assignment of probabilities based on an assumption of equally likely outcomes provides an example of a probability measure.
