If a population is in genetic equilibrium and if 30 of sperm

If a population is in genetic equilibrium and if 30% of sperm and eggs carry the allele B and 60% of eggs and sperm carry the allele H, what are the predicted frequencies of these offspring genotypes? SHOW YOUR WORK.

Solution

if B allele has 30% then B allele frequency is 0.3, B is 0.7

according to hardyweinberg equilibrium, (p+q)2=p2+2pq+q2, we have

BB=0.09, Bb=0.42 and bb=0.49

for H allele. 60% shows H allele frequency as 0.6 and h has 0.4.

so HH=0.36, Hh=0.48 and hh=0.16

the genotypic frequencies of

BBHH=0.09x0.36=0.0324

BbHH=0.42x0.36=0.1512

bbhh=0.49x0.16=.0784