Final answer:
Scenario C, with the child having homozygous recessive alleles (AA) despite both the father and brother having homozygous dominant alleles (GG), indicates a likely mutation.
Step-by-step explanation:
The gene scenario that suggests a likely mutation is B) Gene 1: Father (GG), Brother (GG), Me (AA), Mother (No idea).
In this scenario, the individual (Me) has a different genotype (AA) from both the father (GG) and the brother (GG), which indicates a mutation has occurred. The mother's genotype is unknown, but it is possible that she also has a different genotype, suggesting a likely mutation. The scenario that suggests a likely mutation in the family's genome is C) Gene 2: Father (GG), Brother (GG), Me (AA), Mother (No idea). This scenario indicates a mutation because both the father and brother have homozygous dominant alleles (GG), while "Me" has homozygous recessive alleles (AA). In genetic inheritance, it's not possible for two parents with a homozygous dominant trait to have an offspring with a homozygous recessive trait unless a mutation has occurred.