Alex,

The applet for three pancakes does not work.

There are 3 pancakes: one Brown on both sides, one Golden on both sides, and one Brown on one side and Golden on the other. You took
one from the box and see a Brown side. What is the probability that
the other side is also Brown?

You give two solutions for that probability; one is 1/2 and the
other is 2/3.

To me the question asked is equivalent to question: What is the probability that you got a pancake Brown on both sides, and that is
clearly 1/3. Am I wrong?

Golland.