I concede I might've edited too much text, but undoubtedly the OP made typos. Saxon genitives are missing.
The problem is Bertsekas book is introductory while Ross book explains expression $E[\ E[X\mid Y] \ ]$ just by briefly saying it is a function of $y$ if I remeber correctly.
"i" as a pronoun must be capitalized.
How do i develop a very good conception in probability theory to do advanced theoretical research in communication theory? Which book do i follow to gain a solid conception about the subject.I have the original manuscript of A N Kolmogorov but do not have the mathematical background to understand it.
I emboldened the grammatical mistakes.
Tomorrow I will begin my studies, real analysis, however I have some difficulties in making statements so I thought before starting the study in real analysis, learn how to do demonstrations properly.
I know only learn by doing, but use a book as support would be of great help,
This URL is broken, but the post doesn't say so.
Exercises with solutions for probability theory?
The title is deceptive. OP is talking about measure-theoretic probability theory, not just introductory probability theory.