Question

Recall that in Mendel's garden peas, the yellow gene determines flower color, with the A (yellow) allele dominant to the a (green) allele. In a population of 200 plants, the genotype frequencies are 50% AA, 25% Aa, and 25% aa. What are the allele frequencies

Answer 1

Answer:

Frequency of allele "A" $= 0.7071$

Frequency of allele "a" $= 0.2929$

Explanation:

Given,

The alleles for flower color are A (yellow) and a (green) where A is dominant to a.

The genotype frequencies are -

AA - $p^{2} = 50$%

Aa - $pq= 25$%

aa- $q^{2} = 25$%

so the frequency of allele A is equal to $p$

$p = \sqrt{p^2} \\p = \sqrt{0.5} \\p = 0.7071$

As per Hardy Weinberg's equation 1-

$p+q=1$

Substituting the value of "p" in above equation, we get -

$q=1-0.7071\\q=0.2929$

So the Frequency of allele "A" $= 0.7071$

Frequency of allele "a" $= 0.2929$