Right, I understand it better now. If the host picks the door knowing there is a goat behind it, you are better off changing your mind. If the door(s) with goats are opened through random activity, then your chances are 50/50… meaning my original example is simply a matter of random revelation…
But what is the systematic, or even metaphysical, implications when one is better off making selections where knowledge (or perhaps truth-selection) is simply -merely- involved? Such is the case when the host, a knowledgeable system, is involved.