The purpose of this book is to provide a sound introduction to the study of real-world
phenomena that possess random variation. It describes how to set up and analyse models of
real-life phenomena that involve elements of chance. Motivation comes from everyday experiences
of probability such as that of a dice or cards the idea of fairness in games of chance and
the random ways in which say birthdays are shared or particular events arise. Applications
include branching processes random walks Markov chains queues renewal theory and Brownian
motion. This textbook contains many worked examples and several chapters have been updated and
expanded for the second edition. Some mathematical knowledge is assumed. The reader should have
the ability to work with unions intersections and complements of sets a good facility with
calculus including integration sequences and series and appreciation of the logical
development of an argument. Probability Models is designed to aid students studying probability
as part of an undergraduate course on mathematics or mathematics and statistics.
