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In a population of rabbits, the allele for black fur (B) is dominant over the al

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Question: In a population of rabbits, the allele for black fur (B) is dominant over the allele for white fur (b). If 64% of the rabbits are black, what is the frequency of the recessive allele (b) in the population?

Options:

  1. 0.36
  2. 0.64
  3. 0.25
  4. 0.5

Correct Answer: 0.36

Solution: 

Using the Hardy-Weinberg principle, if 64% are black (BB or Bb), then 36% are white (bb). The frequency of b is √0.36 = 0.6.

In a population of rabbits, the allele for black fur (B) is dominant over the al

Practice Questions

Q1
In a population of rabbits, the allele for black fur (B) is dominant over the allele for white fur (b). If 64% of the rabbits are black, what is the frequency of the recessive allele (b) in the population?
  1. 0.36
  2. 0.64
  3. 0.25
  4. 0.5

Questions & Step-by-Step Solutions

In a population of rabbits, the allele for black fur (B) is dominant over the allele for white fur (b). If 64% of the rabbits are black, what is the frequency of the recessive allele (b) in the population?
  • Step 1: Understand that in this problem, 'B' is the allele for black fur (dominant) and 'b' is the allele for white fur (recessive).
  • Step 2: Recognize that if 64% of the rabbits are black, this means that 36% of the rabbits must be white (100% - 64% = 36%).
  • Step 3: Since white fur (bb) is only seen in rabbits with two recessive alleles, the percentage of white rabbits (36%) represents the frequency of the genotype 'bb'.
  • Step 4: Use the Hardy-Weinberg principle, which states that the frequency of the recessive genotype (bb) is equal to the square of the frequency of the recessive allele (b).
  • Step 5: Let the frequency of the recessive allele 'b' be represented as 'q'. According to the principle, q^2 = 0.36 (the frequency of bb).
  • Step 6: To find 'q', take the square root of 0.36: q = √0.36.
  • Step 7: Calculate the square root: q = 0.6. This means the frequency of the recessive allele 'b' in the population is 0.6.
  • Hardy-Weinberg Principle – A principle used to calculate allele frequencies in a population, assuming no evolutionary influences.
  • Dominant and Recessive Alleles – Understanding the relationship between dominant (B) and recessive (b) alleles in determining phenotypes.
  • Allele Frequency Calculation – Calculating the frequency of alleles based on the observed phenotypic ratios in a population.
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