A Hardy/Weinberg problem. A population of mice is found black whiskers and white whiskers?

The frequency of the dominant black whiskers allele is found to be 75%. The frequency of the white whisker is 25%. Calculate the expected frequency of the BB, Bb and bb individuals. What percentage of the population will have black whiskers (BB + Bb) ?

If we let the frequency of the dominant allele, B, in the population be represented by p and the frequency of the recessive allele, b, in the population be represented by q, then p = 75% = 0.75 and q = 25% = 0.25

So, using the Hardy-Weinberg equation

p^2 + 2pq + q^2 = 1

where p^2 is the frequency of the dominant homozygotes, 2pq is the frequency of the heterozygotes and q^2 is the frequency of the recessive homozygotes, then:

p^2 = 0.75 x 0.75 = 0.5625, frequency of the BB individuals
2pq = 2 x 0.75 x 0.25 = 0.375, frequency of Bb indiividuals
q^2 = 0.25 x 0.25 = 0.0625, frequency of bb individuals

check the math:
0.5625 + 0.375 + 0.0625 = 1
yes, the math is correct and the genotype frequencies add up to one.

The frequency of the dominant phenotype (B- individuals) is:

0.5625 + 0.375 = 0.9375

So, 93.75% of the population will have black whiskers (be genotype BB or Bb).

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