Final answer:
Eugene's mother and grandmother were likely carriers of hemophilia, given that it is an X-linked recessive condition. Eugene's father and grandfather are not carriers of the hemophilic gene. It is plausible for a person with blood type O to be the child of parents with blood types A and B.
Step-by-step explanation:
The question appears to relate to the inheritance of hemophilia and blood types, which are both genetics-related topics. Hemophilia is typically an X-linked recessive condition, which means that males who have the defective gene on their X chromosome will express the disease because they have only one X chromosome. Females, who have two X chromosomes, will usually only be carriers unless they inherit two defective genes. In the context of Eugene's argument, it would be likely that Eugene's mother was a carrier of hemophilia, as Eugene is presenting with the condition and it is much less common for females to express the disease. His grandmother may also have been a carrier or had the disease, as she would have passed the hemophilic gene on to Eugene's mother. Eugene's father and grandfather would not be carriers of the hemophilia gene on their X chromosome, though they might carry the gene responsible for his mother's 'insanity' or 'alcoholism' if such conditions were indeed genetic and not environmental.
Regarding the blood type question, an individual with blood type O (ii) must have two O alleles, one inherited from each parent. If one parent has blood type A and the other has blood type B, they could have genotypes AO and BO respectively. In this case it is possible for them to produce a child with blood type O if both contribute their O allele to their offspring. Therefore, it is plausible for an individual with blood type O to be a legitimate child of parents with blood types A and B.
The reference to Klutsis and the context of the Soviet Union suggests that this part relates to historical or social studies, rather than biology, and reflects the personal experiences and beliefs about the political climate of the time.