re: Marilyn vos Savant and the history of the Montel Hall question

quote:

---

But you are basically choosing 2 doors when you switch (2/3 chance). So it is technically two choices, but the odds are still 2/3 to 1/3.

---

That's how I like to look at it. There is no chance involved in Montel's decision. Deliberately showing you a goat and allowing you to switch your door for his remaining door is equivalent to not showing you a door and letting you trade your door for his two, at least one of which, of course, will conceal a goat.