Discusses a general procedure for solving the 'Monty Hall problem' with the use of probability matrices and an n-dimensional extension. Details on the statistical dilemma facing a contestant of the game show 'Let's Make a Deal,' hosted by Monty Hall; Analysis of the situation wherein the game show host does not know the location of the prize among the unselected doors; Use of a probability matrix that will show the host's response to the prize's location and the contestant's choice. (