In: Biology
If at a locus, three alleles in a population, such that the A allele is present at frequency 0.2, and C allele at frequency 0.4, after one generation of random mating in a population of size 100, the total number of A/A homozygotes will be:
Select one:
a. 3
b. 64
c. 4
d. 12
e. 24
Answer : (c) 4
There are 3 alleles in the population - A, B and C
According to Hardy-weinberg equilibrium, p + q + r = 1, where
Frequency of allele A (p) = 0.2
Frequency of allele C (r) = 0.4
Then, Frequency of allele B (q) = 1 - (0.2 + 0.4) = 0.4
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After one generation, according to Hardy-weinberg equilibrium,
p2 + q2 + r2 + 2pq + 2pr + 2qr = 1
Where,
p2 = frequency of homozygotes A/A
q2 = frequency of homozygotes B/B
r2 = frequency of homozygotes C/C
2pq = frequency of heterozygotes A/B
2pr = frequency of heterozygotes A/C
2qr =frequency of heterozygotes B/C
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So, the frequency of homozygotes A/A is p2 = 0.2 x 0.2 = 0.04
There are total 100 individuals in the population.
So, the the total number of A/A homozygotes = 0.04 x 100 = 4