Question

Mountain goats can be gray, white and spotted brown. Gray (G) is dominant to white (g). If two dominant alleles of the agouti gene (A), is inherited, goats have a spotted brown coat regardless of the gray or white alleles. When a goat inherits one dominant allele of agouti, the goat is gray. Only if the goat is homozygous recessive for agouti (aa) and heterozygous for gray, the goats are white. A gray coated goat (GgAA) is crossed to a spotted brown coated goat with the genotype of ggAA. What is the probability of getting white coated offspring? *Enter your response as either a fraction in the lowest common denominator to earn credit OR a decimal rounded to the nearest one hundredth. If an answer is not genetically possible, enter 0. Example: 1/4 or 0.25 would be correct. If an answer given was 2/8 the answer is incorrect and stays

Answer 1

The probability of getting white coated offspring from a cross between a gray coated goat (GgAA) and a spotted brown coated goat (ggAA) is 0, because the dominant agouti allele ensures all offspring will be spotted brown.

Step-by-step explanation:

The question is asking about the probability of getting white coated offspring when a gray coated goat (GgAA) is crossed with a spotted brown coated goat (ggAA). To find the probability, we must look at the inheritance of the agouti gene (A) and the gray or white alleles (G or g).

Since agouti is dominant (A), and both parents have at least one A allele, all offspring will have the spotted brown phenotype due to the parents' AA combination overshadowing the gray or white coloration completely. The presence of the dominant agouti allele ensures that the coat will be spotted brown regardless of the G and g alleles.

Therefore, no offspring can be white, since they will all inherit at least one A allele from each parent, making them have a spotted brown coat. This means the probability of getting a white coated offspring is 0.