Say Omega appears to you in the middle of the street one day, and shows you a black box. Omega says there is a ball inside which is colored with a single color. You trust Omega.

He now asks you to guess the color of the ball. What should your probability distribution over colors be? He also asks for probability distributions over other things, like the weight of the ball, the size, etc. How does a Bayesian answer these questions?

Is this question easier to answer if it was your good friend X instead of Omega?