I am scratching my head trying to figure out why this question was closed as "too broad."
The OP was asking for a book on probability theory, and he or she listed the topics which, ideally, such a book should cover, based on the curriculum of a class that he or she was going to take. Although I'm no specialist, these all appeared to be topics that one could plausibly see covered in an introductory book on probability theory.
Instead, the question was closed, much as if the voters thought the OP was asking for a book that covered "class field theory, the calculus of variations, distribution theory, homotopy groups of spheres, ..."
Should this question not have been left open?