Hume on testimony to the miraculous

Hume, in the Enquiry Section X Part 1, claims that ’all probability supposes an opposition of experiments and observations, where one side is found to overbalance the other and to produce a degree of evidence proportioned to the superiority’. He concludes that in assessing miracle-claims one should weigh the historical testimony supporting the miracle against the testimony supporting the regularity to which it is an exception. I argue that both his premise and his conclusion are false.