Monty Hall Problem -- Questions

[JeffJo]

So you believe you can conceive every single possible correct solution?

No.

To defend that statement, which I thought I did pretty clearly, all I need to "conceive of" is one. By definition, to be "correct" another other solution must ultimately arrive at the same correct answer,1/(1+Q). If the contestant has no knowledge of where the car is, this is the most general, and correct, answer. Another solution can't both be correct, and get a different answer. (Note that 1/(1+Q) includes the less general, but correct, assumption that Q=1/2 so the probability is 2/3.)

Otherwise, we'd really have a paradox. So maybe you should go back to your imaginary world where mathematics doesn't have to be consistent.