In my mind, Joe has a probability 5⁄6 of having rolled a six. In Joe’s mind, he has a probability 1⁄6 of having rolled a six. These are two different questions.
While they are two different questions, you both have the same evidence and the same priors. They are symmetric questions, and should have identical answers.
While they are two different questions, you both have the same evidence and the same priors. They are symmetric questions, and should have identical answers.