That's interesting - for me it was the first time seeing it explained that way, and it immediately made perfect sense. I think the intuition behind is that, wh

That's interesting - for me it was the first time seeing it explained that way, and it immediately made perfect sense. I think the intuition behind is that, when you initially choose one door out of 1000000, you are almost sure not to have picked the right one, so you ignore the fact that you even chose one. Then, the host opens 999998 doors, but leaves one closed. That door is now really special! Or a different way to look at it: The host gives you partial information about what's between the 999999 doors you didn't choose. Doesn't it seem really unlikely that your intial choice matters given that there are so many doors?