The Deterministic Error Limit in Probability Theory-On the probability method for the Goldbach conjecture, the8th problem of Hilbert and Fermat's last theorem

In probability theory, people are able to get not only "the conclusion on probability meaning" but also "the conclusion with deterministic error limit" for some theoretical problem. The former has no determinacy, but the latter may contain only limited non-determinacy. It is clear that if the error limit, which gives the maximum departure of the random variable from its expectation,can be determined accurately, then probability theory can be used to solve some deterministicproblems.