Final answer:
The results can be explained by incomplete dominance, where neither allele is dominant and the heterozygous individual displays an intermediate phenotype.
Step-by-step explanation:
The kind of genetic inheritance that can explain the results of crosses between roan cattle is incomplete dominance. In incomplete dominance, neither allele is dominant over the other, and the heterozygous individual displays an intermediate phenotype. When red cattle (RR) are crossed with white cattle (WW), the offspring have a genotype of RW, resulting in the roan phenotype, which is a mix of red and white hairs.
This type of inheritance is similar to what is observed in snapdragons, where a cross between a homozygous parent with white flowers (CWCW) and a homozygous parent with red flowers (CRCR) produces offspring with pink flowers (CRCW). In both cases, the heterozygous genotype produces an intermediate phenotype.