The Hardy-Weinberg equation is shown below.
[tex]\[ p^2 + 2pq + q^2 = 1 \][/tex]

What does [tex]\( 2pq \)[/tex] represent in the equation?

A. The frequency of the homozygous dominant genotype
B. The frequency of the heterozygous genotype
C. The frequency of all the genotypes
D. The frequency of the homozygous recessive genotype



Answer :

Let's analyze the Hardy-Weinberg equation, which is:

[tex]\[ p^2 + 2pq + q^2 = 1 \][/tex]

This equation is used in population genetics to describe the genetic variation in a population that is not affected by evolutionary influences. Here’s what each term represents:

1. [tex]\( p^2 \)[/tex]: This term represents the frequency of the homozygous dominant genotype (AA) in the population.
2. [tex]\( q^2 \)[/tex]: This term represents the frequency of the homozygous recessive genotype (aa) in the population.
3. [tex]\( 2pq \)[/tex]: This term represents the frequency of the heterozygous genotype (Aa) in the population.
4. The sum [tex]\( p^2 + 2pq + q^2 \)[/tex] equals 1, which represents the total frequency of all possible genotypes in the population.

Given the Hardy-Weinberg equation:

[tex]\[ p^2 + 2pq + q^2 = 1 \][/tex]

and considering the definitions:

- [tex]\( p^2 \)[/tex] represents the frequency of individuals with genotype AA.
- [tex]\( q^2 \)[/tex] represents the frequency of individuals with genotype aa.
- [tex]\( 2pq \)[/tex] represents the frequency of individuals with genotype Aa.

Therefore, [tex]\( 2pq \)[/tex] specifically denotes the frequency of the heterozygous genotype (Aa). So the correct interpretation is:

B. The frequency of the heterozygous genotype