Carlton, Matthew, and Jay Devore, Probability with Applications in Engineering, Science, and Technology, Springer, New York, 2015. A somewhat more sophisticated and extensive exposition of probability topics than in the present book.
Olkin, Ingram, Cyrus Derman, and Leon Gleser, Probability Models and Applications (2nd ed.), Macmillan, New York, 1994. Contains a careful and comprehensive exposition of joint distributions, rules of expectation, and limit theorems.