I saw a variation of this explanation that I liked, and made it more intuitive. In helps if we jump from 3 choices to 100.
And as we proceed, think of making the first choice of door A as splitting the group into two sets: Picked and Not-Picked. The "Picked" group always contains one door, the Not-Picked group contains the rest (two doors for the usual version, and 99 in my 100-door version).
And rather than say that Monty Hall "opens one of the doors" from the Not-Picked set, let's say he's "opening all the bogus doors" from the Not-Picked set. Right? He always opens the door... (read more)
I saw a variation of this explanation that I liked, and made it more intuitive. In helps if we jump from 3 choices to 100.
And as we proceed, think of making the first choice of door A as splitting the group into two sets: Picked and Not-Picked. The "Picked" group always contains one door, the Not-Picked group contains the rest (two doors for the usual version, and 99 in my 100-door version).
And rather than say that Monty Hall "opens one of the doors" from the Not-Picked set, let's say he's "opening all the bogus doors" from the Not-Picked set. Right? He always opens the door... (read more)