It is manifest that there is a problem. I think that part of this problem is the names of the tags -- they are just too similar. My suggestion would be to rename them; my proposal:
I came to this suggestion by considering what words really separate these categories, and concluded the first is always supposed to be about computation (be that numeric or algebraic), while the second is supposed to be about the theoretical part of probability theory.
An added advantage of this convention is that the theoretical tag doesn't start with "probability" anymore, which will hopefully reduce the number of users thoughtlessly adding this tag to a question. Plus, I conjecture that someone not really comfortable with the subject will likely avoid a tag containing the word "theoretical".
Naturally, I warmly welcome other name suggestions.