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A population in hardy- Weinberg equilibrium for a gene with only two alleles. If the gene frequency of allele A is 0.7, the genotype frequency of Aa is
(a) 0.21
(b) 0.41
(c) 0.36
(d) 0.7

Answer
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Hint: In genetics, the Hardy-Weinberg principle, also known as the Hardy-Weinberg equilibrium, means that in the absence of an evolutionary impact from generation to generation, allele and genotype frequencies in a population will remain constant.dThese variables include genetic drift, mate preference, assortative mating, natural choice, sexual selection, mutation, gene flow, meiotic drive, genetic hitchhiking, population bottleneck, impact of the creator, and effect of the inbreeding.

Complete answer:
The Hardy-Weinberg equation is written as p2+2pq+q2=1 where p is the "A" (dominant) allele frequency and q is the ``a" (recessive) allele frequency. In the equation, p2 is the homozygous genotype AA frequency, and q2 is the homozygous genotype aa frequency, and 2pq is the heterozygous genotype Aa frequency. Moreover, for all the alleles at the locus, the sum of the allele frequencies must be 1, so p + q = 1. So if the frequency is 0.7 for allele A, then the frequency is 0.3 for allele a. As a result, according to the formula: (0.7)2 + 2Aa + (0.3)2 = 1
0.49 + 0.9 + 2Aa = 1 = 2Aa = 1
Aa = 0.42 (2Aa reflects the frequency of genotype Aa genotype).

Additional information:
Homozygous is a genetic disorder in which a person inherits the same alleles from both parents for a specific gene. Homozygous describes the genetic disorder or the genetic state in which both their biological mother and their biological father inherited the same DNA sequence for a specific gene from a person.
A heterozygote defines the condition where heterozygous genotype has higher reasonable activity which is either the dominant aspect or recessive aspect genotype. Owing to a single locus, the unique case of heterozygote gain is known as overdominance. Overdominance is a genetic condition in which both homozygous parents have a heterozygous allele outside the phenotypic range, and heterozygous people have greater fitness than homozygous persons.

So, the correct answer is ‘0.42’.

Note:
After G, the theory is called. H. Hardy and Wilhelm Weinberg, who mathematically showed it first. Hardy's paper concentrated on debunking the then-commonly held view that frequency would immediately increase in a dominant allele; today, uncertainty is less common between superiority and selection. Today, experiments are mainly used to search for population stratification and other types of non-random mating for Hardy-Weinberg genotype frequencies.