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Question

Biology Question on evolution

At a particular locus, frequency of allele AA is 0.60.6 and that of allele a is 0.40.4. What would be the frequency of heterozygotes in a random mating population at equilibrium?

A

0.360.36

B

0.160.16

C

0.240.24

D

0.480.48

Answer

0.480.48

Explanation

Solution

In a stable population, for a gene with two alleles, 'A' (dominant) and 'a' (recessive), if the frequency of 'A' is pp and the frequency of 'a' is q, then the frequencies of the three possible genotypes (AA, Aa and aa) can be expressed by the Hardy-Weinberg equation:
p2+2pq+q2=1p^{2}+2pq+q^{2} =1
where p2p^{2} = Frequency of AAAA (homozygous dominant) individuals
q2q^{2} = Frequency of aaaa (homozygous recessive) individuals
2pq2pq = Frequency of Aa (heterozygous) individuals
so, p=0.6p = 0.6 and q=0.4q = 0.4 (given)
\therefore 2pq2pq (frequency of heterozygote) =2×0.6×0.4=2 \times 0.6 \times 0.4
=0.48=0.48