Ross S. A First Course in Probability

10th Edition. — Pearson Education, Inc., 2019. — 848 p. — ISBN13: 978-0-13-475311-9.For upper-level to graduate courses in Probability or Probability and Statistics, for majors in mathematics, statistics, engineering, and the sciences.
Explores both the mathematics and the many potential applications of probability theory
A First Course in Probability is an elementary introduction to the theory of probability for students in mathematics, statistics, engineering, and the sciences. Through clear and intuitive explanations, it presents not only the mathematics of probability theory, but also the many diverse possible applications of this subject through numerous examples. The 10th Edition includes many new and updated problems, exercises, and text material chosen both for interest level and for use in building student intuition about probability.Combinatorial Analysis
Axioms of Probability
Conditional Probability and Independence
Random Variables
Continuous Random Variables
Jointly Distributed Random Variables
Properties of Expectation
Limit Theorems
Additional Topics in Probability
Simulation