neither the Sun has exploded nor the dice come up 6
Given the statement of the problem, this null hypothesis is not at all probabilistic - we know it's false using deduction! This is an awful strange thing for a hypothesis to be in a problem that's supposed to be about probabilities.
Since probabilistic reasoning is a superset of deductive logic (pace our Saint Jaynes, RIP), it's not a surprise if some formulations of some problems turn out that way.
http://xkcd.com/1132/
Is this a fair representation of frequentists versus bayesians? I feel like every time the topic comes up, 'Bayesian statistics' is an applause light for me, and I'm not sure why I'm supposed to be applauding.