Right, very good Doofus, although I'm not surprised someone with such worldly knowledge as yourself would have heard this riddle before.
Right, and in lamens terms:
You pick door 1. That is a 1 out 3 chance. 1/3.
The other two doors combined are 2 out of 3 chance. 2/3.
When door 3 is revealed, in essence, door number 2 now has that same 2/3 ratio chance.
Hence, stick with door 1, you have 1/3, switch with door 2, you have 2/3.
Answer: Switch.