  Recently we proposed the linguistic interpretation of quantum mechanics
(called quantum and classical measurement theory, or quantum language), which
was characterized as a kind of metaphysical and linguistic turn of the
Copenhagen interpretation. This turn from physics to language does not only
extend quantum theory to classical systems but also yield the quantum
mechanical world view (i.e., the philosophy of quantum mechanics, in other
words, quantum philosophy).And we believe that this quantum language is the
most powerful language to describe science. The purpose of this paper is to
describe the Monty-Hall problem and the three prisoners problem in quantum
language. We of course believe that our proposal is the final solutions of the
two problems. Thus in this paper, we can answer the question: "Why have
philosophers continued to stick to these problems?" And the readers will find
that these problems are never elementary, and they can not be solved without
the deep understanding of "probability" and "dualism".
  KEY WORDS: Philosophy of probability, Fisher Maximum Likelihood Method,
Bayes' Method,The Principle of Equal (a priori) Probabilities
