I'm not sure how much Bayes is getting through here - people are primed to associate "3" with the trick die, so you can get the right answer via availability or similarity heuristics. I'm trying to think of a way to reformulate this without the priming while keeping it close-to-simple - maybe s/"told you that the number that landed was a 3"/"told you that the number that landed was odd"
This is a good point I hadn't thought of. Maybe I'm really just priming people to get the right answer and my skills at thought experiments aren't as good as I thought :/
I've had a bit of success with getting people to understand Bayesianism at parties and such, and I'm posting this thought experiment that I came up with to see if it can be improved or if an entirely different thought experiment would be grasped more intuitively in that context:
I originally came up with this idea to explain falsifiability which is why I didn't go with say the example in the better article on Bayesianism (i.e. any other number besides a 3 rolled refutes the possibility that the trick die was picked) and having a hypothesis that explains too much contradictory data, so eventually I increase the sides that the die has (like a hypothetical 50-sided die), the different types of die in the jar (100-sided, 6-sided, trick die), and different distributions of die in the jar (90% of the die are 200-sided but a 3 is rolled, etc.). Again, I've been discussing this at parties where alcohol is flowing and cognition is impaired yet people understand it, so I figure if it works there then it can be understood intuitively by many people.