I'm not the only "shell game" freak. . .Numb3rs episode continued. . .Monty Hall?

Here's some stuff I found supporting the whole Cup and Bean thing I've been debating with people lately:

I checked Wikipedia and there was nothing there on this specifically. I thought it might be an interesting topic to nurture on that site if I could come up with the time. Then I searched for "Monty Hall" on a whim and found there IS indeed something on this on Wikipedia.org. The best stuff yet comes from there in these Venn Diagrams.

Someone at USC did a Science Fair project on this just last April.

Another guy built a simple Java Applet (which is a lot nicer than my little CF app.) and says it's a great way for students to learn about "the ideas of repeated trials as a means for investigating a random phenomena."

Math Dept Home Page: "Let Ci denote the event that the car is at door i, and Hj the event that the host opens door j . Then

P(You win the car if you switch)

= P(H3 C2) + P(H2 C3) = P(C2)P(H3|C2) + P(C3)P(H2|C3) = (1/3)·1+ (1/3)·1 = 2/3

and in similar manner we find that

P(You win the car if you don't switch) = (1/3)·p + (1/3)·(1 - p) = 1/3

where p = P(H2|C1)."