Genetics question

[sammyscuba]

I have to answer this question.....

In a typical Romney flock 999 lambs out of 1000 are born white. Given that there are only two alleles at this locus: Awt White Dominant, a black recessive. What would be the percentage of black sheep in the next generation when a black Ram is mated with white ewes chosen at Random in the flock ?

And here is what I think

Frequency of black sheep aa is 1/1000 = 0.001
Frequency of the recessive allele a is √0.001 = 0.0316
Frequency of Awt = 1-0.0316 = 0.9684
Frequency of the genotypes = Awt
Awt = 0.9684 X0.9684 = 0.9378

Selective value of Awt Awt : S 1=1
Selective value of Awt a : S2= 1
Selective value of aa: S3 = 0
Average selective value of the allele Awt:
W Awt = pS1 + qS2 = (0.9378 X 1) + (0.9684 x 1) = 1.9062
W a = pS2 + qS3 = (0.0316 x 1) = (0.001 x 0) = 0.0316

The average selection value of the population is
W = pW Awt + qWa
= 0.9 x Frequency of black lambs


Is this correct ?