Final answer:
The loss of central vision described is likely due to a genetic condition, and based on X-linked recessive inheritance patterns, if the condition in question is indeed X-linked, the patient's sister would have a 50% chance of passing the diseased allele to her sons and a 50% chance of passing the carrier status to her daughters.
Step-by-step explanation:
The condition described in the question, where a person loses the center portion of their vision, may suggest a genetic eye disorder rather than common vision problems such as myopia, hyperopia, or presbyopia. The pattern of loss of vision among the siblings, and the mention of a potentially inherited abnormality, indicates that this is likely related to a genetic condition. X-linked recessive disorders, such as red-green color blindness, commonly affect males more than females since males have one X and one Y chromosome while females have two X chromosomes. If the condition were X-linked, a female carrier would have a 50% chance of passing the recessive allele to her sons who would express the disease, and a 50% chance of passing the carrier status to her daughters.