However, these two different cases get represented as having the same probabilistic belief, namely \(p(H)=p(T)=0.5\). In the fair coin case, this probability assignment comes from having evidence that suggests that the chance of heads is a half, and the prescription to have your credences match chances (ceteris paribus). In the unknown bias case, by contrast, one arrives at the same assignment in a different way: nothing in your evidence supports one proposition over the other so some “principle of indifference” reasoning suggests that they should be assigned the same credence (see Hájek 2011, for discussion of the principle of indifference).