Basic Concepts, Axioms and Operations in Probability

Abstract

In this chapter, the definitions of the basic concepts in probability including the sample space, single event, event, mutually exclusive events, probability, and three axioms of probability have been provided. The basic operations in probability theory including the intersection, union, and complement have been given in comparison to the basic operations in set theory. The exercises throughout the chapter, and the problems at the end of the chapter elucidated the basic concepts in probability. In problems section, Venn diagrams have been used for the solutions, where relevant; and the solution of two well-known problems in probability, i.e. birthday problem, and straight in a poker hand problem was also presented.