But that's a semantics game. Sub probability for entropy. Why do we live in a world where low probability states were in the past and high probability ones are in the future? What intrinsic property of the universe causes this asymmetry? One can imagine a symmetric k-negative universe where high probability macrostates trend towards low probability macrostates. Or a k-zero universe where the dice never rolls.
None of such questions follow definitionally from the second law ^H^H^H probability.
Yes. It is a semantics game. I feel people understand probability but they don't understand entropy hence it's easier to just use the term probability state.
And yes the questions you pose don't follow from the 2nd law. But they are the big question.
None of such questions follow definitionally from the second law ^H^H^H probability.