STAT211 Chapter Notes - Chapter 4: Absolute Difference, Conditional Probability, Venn Diagram
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Sample space represented by the letter s, is the set of all the possible outcomes in an experiment: can be defined in different ways, choose the one that is the most appropriate for the experiment. Sample points individual outcomes in the sample space. Events: event a subset of the sample space (collection of sample points) and is noted by capital letters. It is often useful to draw a venn diagram (euler diagram) to illustrate the relationships between events: may not perfectly represent reality but helps provide a reasonable approximation. In a venn diagram, all circles overlap even if it is not possible to fall in the region of the overlap: p(a) = number of sample points that make up a/total number of sample points. For any event a, 0 <= p(a) <= 1, all probabilities are between 0 and 1. For any sample space s, p(s) = 1, one of the outcomes in the sample must occur.