COMM-1057EL Chapter Notes - Chapter 6: Mutual Exclusivity, Sample Space
13 Oct 2017
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Random experiment an action or process that leads to one of several possible outcomes. Sample space a list of all possible outcomes of a random experiment (denoted by s) The listed outcomes must be exhaustive all possible outcomes must be included. In addition, the outcomes must be mutually exclusive no two outcomes can occur at the same time. Given a sample space s = {o1, o2, }, the probabilities assigned to the outcomes must satisfy 2 requirements: the probability of any outcome must lie between 0 and 1. 0 < p(oi) < 1: the sum of the probabilities of all outcomes in a sample space must be 1. Classical approach - used by mathematicians to help determine probability associated with games of chance (ex. the probabilities of heads & tails in the flip of a balanced coin are equal or 50/50) In some experiments, it is necessary to develop mathematical ways to count the # of outcomes.
