[firejake308]

You're right that the dice are literally intended to represent a hidden variable. The difference between the frequentost and the Bayesian is that the frequentist only accounts for the hidden variable, whereas the Bayesian also accounts for the pre-test probability of the sun exploding. Since the probability of the sun exploding is 1 in a bazillion, multiplying that by 35 still gives you a very very low post-test probability that the sun has gone nova because 35 in a bazillion is still pretty unlikely