And the point I'm making is that it's not clear at all why opening 998 doors out of 1,000 is analogous to opening 1 door out of 3 -- why wouldn't you still be o

And the point I'm making is that it's not clear at all why opening 998 doors out of 1,000 is analogous to opening 1 door out of 3 -- why wouldn't you still be opening just the 1 door? If you pick one of 1,000 doors, and then the host reveals a goat behind a single door, there's a slight (but only very slight) advantage to switching. The advantage is most pronounced with the fewest possible number of doors, i.e. 3. That's why this approach to teaching it has never made sense to me -- it's not clear at all why opening 998 doors should be analogous to opening 1 door, which it's much more obvious that opening 1 door is analogous to 1 door.