## To calculate the frequency of the AA, Aa, and aa genotypes after one generation, you can use the Hardy-Weinberg Equilibrium equation. This equation allows you to determine genotype frequencies based on the allele frequencies in the population.

The Hardy-Weinberg equation states that p^2 + 2pq + q^2 = 1, where p represents the frequency of the dominant allele (in this case, A) and q represents the frequency of the recessive allele (in this case, a).

In your case, you have already determined the initial allele frequencies using the given population information:

p = 0.2 + 0.5(0.6) = 0.5 (frequency of the dominant allele A)

q = 1 - p = 1 - 0.5 = 0.5 (frequency of the recessive allele a)

Now, let's calculate the genotype frequencies after one generation using the values of p and q obtained:

Frequency of AA genotype (p^2):

AA genotype frequency = p^2 = 0.5^2 = 0.25 (or 25%)

Frequency of Aa genotype (2pq):

Aa genotype frequency = 2pq = 2(0.5)(0.5) = 0.5 (or 50%)

Frequency of aa genotype (q^2):

aa genotype frequency = q^2 = 0.5^2 = 0.25 (or 25%)

So, after one generation, the frequencies of the AA, Aa, and aa genotypes in the population will be 25%, 50%, and 25%, respectively.

It seems your calculation and answer are correct! Well done!