Standard and Generalized Versions of the Monty Hall Problem

A prize is concealed behind one of curtains, and game show host Monty Hall asks you to guess where the prize is. After you guess, Monty opens of the curtains that do not conceal a prize (referred to in the Demonstration as "shills"), leaving closed only your original choice and one other curtain. You are given the option of staying with your original choice, or switching to the other closed curtain. Careful analysis shows that, on average, you are better off to switch. This result can be very non-intuitive for the standard case of curtains, but becomes much more plausible when .