{"id":35019,"date":"2025-06-24T06:19:53","date_gmt":"2025-06-24T06:19:53","guid":{"rendered":"https:\/\/gaviki.com\/blog\/?p=35019"},"modified":"2025-06-24T06:19:54","modified_gmt":"2025-06-24T06:19:54","slug":"according-to-the-hardy-weinberg-theorem-p-q-1-and-p2-2pq-q2-1","status":"publish","type":"post","link":"https:\/\/gaviki.com\/blog\/according-to-the-hardy-weinberg-theorem-p-q-1-and-p2-2pq-q2-1\/","title":{"rendered":"According to the Hardy-Weinberg theorem, p + q = 1 and p2 + 2pq +q2 = 1."},"content":{"rendered":"\n<p>According to the Hardy-Weinberg theorem, p + q = 1 and p2 + 2pq +q2 = 1. What does each of these formulas mean (how are they derived)<\/p>\n\n\n\n<p><strong><mark style=\"background-color:rgba(0, 0, 0, 0)\" class=\"has-inline-color has-vivid-cyan-blue-color\">The Correct Answer and Explanation is:<\/mark><\/strong><\/p>\n\n\n\n<p>The Hardy-Weinberg theorem is a principle in population genetics that describes how gene frequencies remain constant from generation to generation under certain ideal conditions. The two key equations involved are:<\/p>\n\n\n\n<ol class=\"wp-block-list\">\n<li><strong>p + q = 1<\/strong><\/li>\n\n\n\n<li><strong>p\u00b2 + 2pq + q\u00b2 = 1<\/strong><\/li>\n<\/ol>\n\n\n\n<p>In these formulas, <strong>p<\/strong> represents the frequency of the dominant allele, and <strong>q<\/strong> represents the frequency of the recessive allele in a population. Together, they describe the genetic variation of a trait governed by a single gene with two alleles.<\/p>\n\n\n\n<h3 class=\"wp-block-heading\">Explanation and Derivation:<\/h3>\n\n\n\n<p>The first equation, <strong>p + q = 1<\/strong>, is a statement of total allele frequency. Since there are only two alleles in the population for a given gene, the sum of their frequencies must equal 1. For example, if 60 percent of the alleles in the population are dominant (p = 0.6), then the remaining 40 percent must be recessive (q = 0.4).<\/p>\n\n\n\n<p>The second equation, <strong>p\u00b2 + 2pq + q\u00b2 = 1<\/strong>, describes the expected frequencies of the three possible genotypes in the next generation, assuming random mating and no evolutionary forces acting on the population. These three genotypes are:<\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li><strong>p\u00b2<\/strong>: the frequency of individuals who are homozygous dominant (carry two dominant alleles)<\/li>\n\n\n\n<li><strong>2pq<\/strong>: the frequency of heterozygous individuals (carry one dominant and one recessive allele)<\/li>\n\n\n\n<li><strong>q\u00b2<\/strong>: the frequency of homozygous recessive individuals (carry two recessive alleles)<\/li>\n<\/ul>\n\n\n\n<p>This equation comes from applying the binomial expansion of (p + q)\u00b2, which represents all the possible combinations of alleles during fertilization. When you square the sum of allele frequencies, you model how alleles combine to form genotypes. Therefore, the Hardy-Weinberg equilibrium shows how allele and genotype frequencies remain stable over generations if no mutation, selection, migration, or genetic drift occurs. It serves as a null model in population genetics.<\/p>\n\n\n\n<figure class=\"wp-block-image size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"852\" height=\"1024\" src=\"https:\/\/gaviki.com\/blog\/wp-content\/uploads\/2025\/06\/learnexams-banner8-616.jpeg\" alt=\"\" class=\"wp-image-35023\" srcset=\"https:\/\/gaviki.com\/blog\/wp-content\/uploads\/2025\/06\/learnexams-banner8-616.jpeg 852w, https:\/\/gaviki.com\/blog\/wp-content\/uploads\/2025\/06\/learnexams-banner8-616-250x300.jpeg 250w, https:\/\/gaviki.com\/blog\/wp-content\/uploads\/2025\/06\/learnexams-banner8-616-768x923.jpeg 768w\" sizes=\"auto, (max-width: 852px) 100vw, 852px\" \/><\/figure>\n","protected":false},"excerpt":{"rendered":"<p>According to the Hardy-Weinberg theorem, p + q = 1 and p2 + 2pq +q2 = 1. What does each of these formulas mean (how are they derived) The Correct Answer and Explanation is: The Hardy-Weinberg theorem is a principle in population genetics that describes how gene frequencies remain constant from generation to generation under [&hellip;]<\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[1],"tags":[],"class_list":["post-35019","post","type-post","status-publish","format-standard","hentry","category-quiz-questions"],"_links":{"self":[{"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/posts\/35019","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/comments?post=35019"}],"version-history":[{"count":1,"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/posts\/35019\/revisions"}],"predecessor-version":[{"id":35024,"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/posts\/35019\/revisions\/35024"}],"wp:attachment":[{"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/media?parent=35019"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/categories?post=35019"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/tags?post=35019"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}