Within a population of butterflies, the color brown (B) is dominant over the color white (b). And, 29% of all butterflies are white.

Calculate the frequency of homozygous dominant individuals.



a
25%
b
42%
c
22%
d
63%

1 answer

Let's denote the frequency of the dominant allele (B) as p and the frequency of the recessive allele (b) as q.

Since brown (B) is dominant over white (b), the genotype frequencies can be denoted as follows:
- BB (homozygous dominant): p^2
- Bb (heterozygous): 2pq
- bb (homozygous recessive): q^2

Given that 29% of all butterflies are white (bb), q^2 = 0.29. This means that q = √0.29 ≈ 0.539.

Since brown (B) is dominant, p = 1 - q = 1 - 0.539 = 0.461.

Therefore, the frequency of homozygous dominant individuals (BB) can be calculated as p^2 = 0.461^2 ≈ 0.213 or 21.3%.

Therefore, the correct answer is c) 22%.
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