Answer:
The genotype of the parents can be determined by using the Punnett Square method, which is a tool that predicts the possible offspring from a mating.
Assuming that the coat color in mice is controlled by two genes (let's call them G and W), and that the dominant gene for gray coat color is G and the dominant gene for white coat color is W, the genotypes of the parents can be determined as follows:
Parent 1: GgWw
Parent 2: GgWw
In the offspring, 4 mice have a white coat color (WW), which means they must have received the W gene from both parents. This indicates that both parents are heterozygous for coat color (GgWw).
The phenotype of the parents can be determined by the physical appearance of the mice, which in this case is gray. As gray is the dominant color, both parents must have the gray phenotype (GgWw).
It is worth noting that this is just one possible explanation for the offspring, and that there could be other combinations of genes that could produce the same result.