Practical and well-written, this work provides insight into the science of random phenomena. The reader learns to know and understand the mathematics of chance. In this revised and expanded third edition, which includes two chapters on statistics, central topics are thoroughly addressed, including: descriptive statistics, historical development, data collection and preparation (location and dispersion parameters), linear regression and correlation, the genesis of probability theory with its fascinating examples from the 17th century, the axiomatic structure of probability theory in the 20th century, fundamental concepts of combinatorics, simulation of random experiments, discrete random variables, general probability spaces, continuous distribution functions, inductive statistics, estimation theory, and hypothesis testing.