# P655

“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 p^{2} + 2pq + q^{2} = 1, where p and q represent allelic frequencies, while p^{2}, 2pq, q^{2} 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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