After a little more research, the issue appears to be related to Bonferroni inequalities (where we treat every single possible sequence, or explanation for an unusual sequence, as a hypothesis, on a data set of one), and although this is far outside my expertise in statistics, I suspect something -like- a Bonferroni correction might resolve the paradox.
After a little more research, the issue appears to be related to Bonferroni inequalities (where we treat every single possible sequence, or explanation for an unusual sequence, as a hypothesis, on a data set of one), and although this is far outside my expertise in statistics, I suspect something -like- a Bonferroni correction might resolve the paradox.