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

Frequency of allele "A"
`= 0.7071`

Frequency of allele "a"
`= 0.2929`

Step-by-step 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 = √(p^2) \\p = √(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`