Suppose that in a family with two male siblings, both siblings are affected with a genetically inherited disease. Suppose also that, although the genetic history of the family is unknown, only a dominant, recessive, or sex-linked mode of inheritance is possible.

Assume that the dominant, recessive, and sex-linked modes of inheritance follow the probability laws given in the earlier problems and that, without prior knowledge about the family in question, each mode of inheritance is equally likely. What is the posterior probability of each mode of inheritance in the family with two male siblings in which only one sibling is affected?