Principles of Inheritance and Variation Question 26

26. In a population of 1000 individuals 360 belong to genotype AA, 480 to $Aa$ and the remaining 160 to aa. Based on this data, the frequency of allele $A$ in the population is:

(a) 0.4

(b) 0.5

(c) 0.6

(d) 0.7

Show Answer

Answer : c

Hints & Solution

(c) According to Hardy Weinberg principle, $p^{2}+2 pq+q^{2}=1 ;(p+q)^{2}=1$ (AA) $p^{2}=360$ out of 1000 individual or $p^{2}=36$ out of 100 $q^{2}=160$ out of 1000 or $q^{2}=16$ out of 100 so $q=\sqrt{.16}=.4, Asp+q=1$ so $p$ is 0.6 .