Unfortunately, this is a very large number of worlds, and to specify a probabilistic model we have to specify a probability for each one.
Furthermore, the resulting distribution would be good only for a limited time.  If St. Nordaf hired a new faculty member, or got a new student, or even if the two students registered for different classes next year,  it would no longer apply, and St. Nordaf would have to pay Acme consulting all over again.  Thus, we want a model that holds for the infinitely many potential universities that hold over this very simple schema.  Thus, we are stuck with what seems to be an impossible problem.  How do we represent an infinite set of possible distributions, each of which is by itself very complex.