Calculating Heterozygote Frequency

Question

If gene frequency of $A = 0.7$ & $a = 0.3$, find out genotypic frequency of heterozygote:

Select an answer

If gene frequency of $A = 0.7$ & $a = 0.3$, find out genotypic frequency of heterozygote:

  1. 0.42 — Correct Answer
  2. 0.21
  3. 0.49
  4. 0.09
Explanation:
Correct Answer: 0.42

Under Hardy-Weinberg equilibrium, genotypic frequencies are calculated from gene frequencies as: p² (AA) + 2pq (Aa) + q² (aa) = 1.

Step-by-Step Calculation
  • Given: p (frequency of A) = 0.7; q (frequency of a) = 0.3
  • Check: p + q = 0.7 + 0.3 = 1.0 ✓
  • Frequency of heterozygote (Aa) = 2pq = 2 × 0.7 × 0.3 = 0.42
All Genotypic Frequencies for This Example
Genotype Formula Frequency
AA (homozygous dominant) p² = (0.7)² 0.49
Aa (heterozygous) 2pq = 2 × 0.7 × 0.3 0.42
aa (homozygous recessive) q² = (0.3)² 0.09
Total p² + 2pq + q² 1.00
Important Note
  • Frequency of heterozygotes (2pq) can never exceed 50% and is maximum when p = q = 0.5 → 2pq = 0.50

📚 About this Topic — Animal Genetics & Breeding

This multiple choice question is from Animal Genetics & Breeding, Animal Refresher. It has 4 options with a detailed explanation of the correct answer. Practice more MCQs from Animal Genetics & Breeding to strengthen your preparation.

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