I wasn't talking about communism, I don't know where you picked that up. I was just saying that the assumption "Omega's choice of question is uncorrelated to the actual bead color" is missing, and should be explicitly stated.

Otherwise, it's reasonable to assign non-null probabilities to the propositions "There are beads of only N colors, and red is one of them", for various values of N (2? 12? Whatever)

Cameron Taylor makes the same point in another comment.