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With the help of an algebraic equation, how did Hardy-Weinberg explain that in a given population the frequency of occurrence of alleles of a gene is supposed to remain the same through generations ?

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With the help of an algebraic equation, how did Hardty-Weinberg explain that in a given population the frequency of occurrence of alleles of a gene is supposed to remain the same through generations?

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In a hardy-Weinberg population, if gene has only two alleles A and A, and the gene frequence of allele A is 0.4. What is the frequency of gene 'a'?

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