Final answer:
The recombinant offspring in the cross between a female fly (AaBb) and a male fly (aabb) are Aabb and aaBb. The ratios of these recombinants can be affected by linkage. A 1:1 ratio of red to white-eyed offspring is expected from a cross involving a white-eyed male and a red-eyed heterozygous female due to sex-linked inheritance of eye color in fruit flies.
Step-by-step explanation:
Recombinant Offspring Genotypes
When a female fly with genotype AaBb is crossed with a male fly with genotype aabb, the recombinant offspring would be the genotypes that are not present in either of the parents. This implies that the offspring showing a mix of dominant and recessive alleles at either locus that are not found in the parents are considered recombinant. In this specific cross, the recombinant offspring genotypes could be Aabb and aaBb, depending on the frequency of recombination during gamete formation.
If the genes are linked (located close together on the same chromosome), there will likely be fewer recombinant offspring. On the other hand, if the genes assort independently (following Mendel's law of independent assortment), we would expect a different ratio of recombinant to parental types. The ratio of offspring resulting from a cross between a white-eyed male fruit fly and a female fly heterozygous for red eye color (XWXw x XYXw) should be 1:1 for red-eyed (XWXw) and white-eyed (XwY) offspring since eye color in fruit flies is sex-linked.