binomial expansion equation

binomial expansion equation

an equation stating that (p + q)2 = 1.0, in which p and q are variables. The equation is used in population genetics (see POPULATION sense 2). Expansion of the term produces the frequencies of the three genotypes expected in a population that has a gene with two alleles at frequencies of p and q respectively. The equation can be expanded to include additional alleles of a gene (see HARDY-WEINBERG LAW). For example, if a gene has three alleles with frequencies of p , q and r , the expected frequencies of the six possible genotypes would be: