There is no conditional math. The only condition is that one of two dice is known to be a 2. Therefore only six possible results remain on the second die.

Because it is only a two-dice problem the possible results will always be 1/6. Regnis got it. Only you "super smart math people" trip over your own two feet because you failed to read and understand the question and you jumped ahead with convoluted math that isn't called for.