The Calculus of Probability

  • J. G. Kalbfleisch
Part of the Springer Texts in Statistics book series (STS)


We recall from Section 1.3 that a probability model for an experiment has two ingredients: a sample space S and a probability distribution {pi}. A subset of the sample space is called an event, and its probability is the sum of the probabilities of all the points it contains. In Chapter 2 we considered only cases in which all of the sample points were assumed to be equally probable. Now we return to the general case in which the pi’s need not be equal. In Sections 1 and 7 we develop formulae for the probability of a union of events. Sections 2 and 3 discuss the extremely important concepts of product models and independence while Sections 4, 5, 6 deal with conditional probability models.


Conditional Probability Sample Space Product Rule Venn Diagram White Ball 
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Copyright information

© Springer Science+Business Media New York 1985

Authors and Affiliations

  • J. G. Kalbfleisch
    • 1
  1. 1.Department of Statistics and Actuarial ScienceUniversity of WaterlooWaterlooCanada

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