IPHY 2500 Lecture Notes - Lecture 9: Sample Space, Institute For Operations Research And The Management Sciences
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In the special situation where all the outcomes in s are equally likely, we can find the probability of any event a by dividing the number of outcomes in a by the number of outcomes in s: It is important to note that it is not always the case the all the outcomes of a random experiment are equally likely. In the next modules you"ll learn other methods which will help you compute probabilities more generally. Rule one: for any event a, 0. 1: the probability of an event, which informs us of the likelihood of it occurring, can range anywhere from 0 (indicating that the event will never occur) to 1 (indicating that the event is certain). Rule two: p(s) = 1; that is, the sum of the probabilities of all possible outcomes is 1. A does not occur: p(not a) = 1 - p(a) can be re-formulated as p(a) = 1 -