 In fact, though, the axioms of probability don’t even entail that—they don’t actually say anything about \(p(T_{10} \mid T_{1\ldots9})\). In the previous paragraph, we assumed that each possible sequence of tosses was equally probable, with \(p(\ldots)=1/1024\) the same for each sequence. But the probability axioms don’t require this “uniform” assignment. As we saw earlier when we encountered the problem of the priors  (1.4),  the probability axioms only tell us that tautologies have probability 1 (and contradictions probability \(0\)). Contingent propositions can have any probability from \(0\) to 1, and this includes the proposition that the sequence of tosses will be \(\mathsf{HHHHHHHTHT}\), or any other sequence of \(\mathsf{H}\)s and \(\mathsf{T}\)s.