The correct option is A 1/8
Autosomal genes are the ones which are present on the autosomes. According to the question, a male individual is heterozygous for autosomal genes A and B. He is also hemizygous for the haemophilic gene ‘h’. His genotype therefore would be AaBbXhY.
During meiosis, due to segregation of these alleles into the gametes, each gamete would receive only one of the 2 alleles. So, if we consider the alleles that would be carried by the sperms, it would carry either A or a, B or b and Xh or Y. The probability of sperms to be of the genotype abXh, would be a product of the individual probabilities of each gene.
The probability of a (out of a and A)= ½
The probability of b (out of b and B)=½
The probability of Xh (out of Xh and Y)= ½
Hence the probability of a sperm carrying abXh genotype would be= ½ X ½ X ½ = ⅛