To determine the frequency of the [tex]\( p \)[/tex] (pink) allele in this population, we can follow these steps:
1. Identify the Number of Each Allele:
- The number of [tex]\( P \)[/tex] (purple) alleles is 150.
- The number of [tex]\( p \)[/tex] (pink) alleles is 20.
2. Calculate the Total Number of Alleles:
- The total number of alleles is the sum of the [tex]\( P \)[/tex] alleles and the [tex]\( p \)[/tex] alleles.
[tex]\[
\text{Total number of alleles} = P \text{ alleles} + p \text{ alleles} = 150 + 20 = 170
\][/tex]
3. Determine the Frequency of the [tex]\( p \)[/tex] Allele:
- The frequency of an allele is calculated by dividing the number of that allele by the total number of alleles.
[tex]\[
\text{Frequency of } p \text{ allele} = \frac{\text{Number of } p \text{ alleles}}{\text{Total number of alleles}} = \frac{20}{170} \approx 0.1176
\][/tex]
Given these calculations, the frequency of the [tex]\( p \)[/tex] allele is approximately 0.1176. This does not match any of the options exactly, but it is closest to none of them. However, based on the calculation, the correct value would be around 0.1176.
Thus, none of the provided options match the calculated result perfectly. The closest option with the potential for rounding consideration would be:
D. 0.50 (however, this is a discrepancy based on the correct calculated value of 0.1176).
