The book continues to cover the syllabus of a one-year course on Probability Theory. The rigorous MATHEMATICS axiomatic approach continues to be followed. For those who plan to apply probability models in their chosen areas, the book will provide the necessary foundation. For those who want to proceed to work in the area of Stochastic Processes, the present work will provide the necessary preliminary background. It can be used by probabilists, statisticians and mathematicians.

In the present edition many concepts have been elaborated. Clarifications are given for a number of steps in the proofs of results derived. Additional examples and problems are given at the end of different chapters. An additional preliminary chapter has been added so that students can recapitulate the topics normally covered in the undergraduate courses. It also forms the foundation for topics covered in the remaining chapters.

This new edition incorporates the suggestions for improvements received by the author when the earlier editions were in circulation. With the additional features and most of the errors weeded out, the book is hoped to become more useful in the hands of students and teachers.