What does p² in the below mentioned Hardy-Weinberg equation indicate? (p+q)² = p² + 2pq + q²
Correct Answer :
individuals that are homozygous dominant
Solution :
The correct option is "individuals that are homozygous dominant".
To understand why this is correct, let us break down the Hardy-Weinberg equation step-by-step:
The Hardy-Weinberg principle describes a state of genetic equilibrium in a diploid population. For a gene with two alleles, say A (dominant allele) and a (recessive allele), we define their frequencies as follows:
- Let represent the frequency of the dominant allele (A).
- Let represent the frequency of the recessive allele (a).
Since these are the only two alleles for this gene in the population, their frequencies must sum to 1:
To find the frequencies of the resulting genotypes in the population, we square both sides of the equation:
Expanding this algebraic expression gives the Hardy-Weinberg equation:
Each term in this expanded equation represents the frequency of a specific genotype in the population:
- represents the frequency of the homozygous dominant genotype (AA). This is the fraction of the population that inherits the dominant allele from both parents.
- represents the frequency of the heterozygous genotype (Aa).
- represents the frequency of the homozygous recessive genotype (aa).
Therefore, in the Hardy-Weinberg equation, specifically indicates the frequency of individuals that are homozygous dominant.
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