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Genes A and B are located on the same chromosome and are 20 % recombination apart. A plant heterozygous for both genes in coupling phase (genotype AB/ab) is crossed with a plant homozygous recessive (ab/ab). What is the probability that an offspring will inherit the recombinant genotype Ab?

hard 4 marks Class 10 · Science · Heredity
Answer
10%

The correct answer is 10% — Thus, 10% of the progeny will have genotype Ab.

Step-by-step solution

  1. Recognize that the heterozygous parent has two chromosome types: AB (non‑recombinant) and ab (non‑recombinant).
  2. Recombination occurs in 20% of meioses, producing the two recombinant types: Ab and aB, each in half of the recombinant gametes.
  3. Calculate the frequency of the recombinant gamete Ab from the heterozygous parent:
  4. • 20% of gametes are recombinant.
  5. • Half of these recombinant gametes are Ab, so 0.20 × 0.5 = 0.10 (10%).
  6. The homozygous recessive parent can only provide the ab gamete.
  7. Therefore, the probability that an offspring receives Ab from the heterozygous parent and ab from the other parent is 10%.
  8. Thus, 10% of the progeny will have genotype Ab.
Common mistake: Applying independent assortment and giving 25% instead of using the 20% recombination rate.

Concept tested: Linked genes and recombination frequency

Published · How this solution was prepared and checked

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