Monty Hall Problem

Application of the Stochastic Workflow Technology

You are probably familiar with the famous “Monty Hall” problem, but if not, here it is:

Problem

You’re on a game show hosted by Monty Hall, the handsome Canadian fellow pictured above. Before you, there are three closed doors. Behind a uniformly randomly selected door, there is a new car; behind the other two, there is nothing. You get to choose a door, and you get what is behind it as a prize: either a car or nothing. You randomly choose a door, again by some uniform process.

Monty — who knows where the ...