Hi Alex, It was not my intention to bring more confusion, but it turned out to be the outcome. We have once and for all to come to some agreement,(but judging by Monty Hall problem, I doubt that we will).
It is clear that the colors of the pancakes are symmetrical.
So, if we ask the same question for the other color, we have to get the same probability. If we ask a "colorless" question: i see a side and now what is the probability that the other side is the same color?
then the probability is 2/3, for 2 out of 3 have the same color on both sides.
This probability is an "or" of two color specific probabilities, and
it makes each of them equal 1/3.
So which one is correct? 1/3 ? 1/2 ? 2/3 ?