Need help to understand this harvey weinburg problem!!

[hotmama]

A very large population of lab mice contains 35% white mice. White coloring is caused by the double recessive genotype "aa". Calculate allelic and genotypic frequencies for this population.
a.Homozygous dom genotype:
b.Homezygous recces genotype:
c.Heterozygous genotype:
d.Dominant allele frequency:
e.Recessive allele frequency:


Is there an easy way to calculate this problem? I have tried and am not sure if I am correct.....this is very confusing!!!
Please help!!

Here is my calculation:

aa~ .59 (q2)
A ~ 1.0 (p)
AA~ .17 (p2)
Aa~.48 (2pq)

[Darby]

The first 2 you've pretty much been given. From there it's a matter of calculating how much of the population needs to carry the recessives for it to show up to the extent given.

[hotmama]

Can you help me get to that point? Thanks!!

[blcr11]

Got the right idea, but I think you’ve misidentified one of the frequencies. You’re given the frequency of the homozygous recessive genotype, aa. But Pr[aa]=q2=0.35 (not 0.59).

Pr[aa]=0.35 (given)
Pr[a]=q=sqrt(.35)=0.59
Pr[A]=p=1-q=1-0.59=0.41
Pr[AA]=p2=(0.41)(0.41)=0.17
Pr[Aa]=2pq=2(.59)(.41)=0.48

Check p2 + 2pq + q2 = 1 = 0.35 + 0.48 + 0.17

Frequency of:

Homozygous dominant genotype (AA): p2=0.17
Homozygous recessive genotype (aa): q2=0.35
Heterozygous genotype (Aa): 2pq=0.48
Dominant allele (A): p=0.41
Recessive allele (a): q=0.59

I think you were OK except for confusing Pr[aa] with Pr[a].

[hotmama]

Thank you so much! I see where I made the mistake.