“Hardy-Weinberg’s principle states that if a population is large enough and isolated from disturbing factors, allele frequencies will remain constant. Because one or more of these factors are typically present in real populations, the Hardy-Weinberg principle describes an ideal condition against which the effects of these influences can be analyzed.
However, the Hardy-Weinberg principle can be used for model populations and additionally, can be expressed mathematically. If a gene has two alleles, then the principle can be expressed as: (p + q)2 = 1 or p2 + 2pq + q2 = 1, where p and q represent allelic frequencies, while p2, 2pq, q2 represent genotypic frequencies.
In a population of 1000 individuals 190 are found to have black eyes. It is known that color of eyes is controlled by a gene with two alleles. The dominant allele A codes for black, while recessive allele a determines blue eyes. Assume that the population is in Hardy-Weinberg equilibrium.”
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