Expected phenotypic ratios in Mendelian dihybrid crosses If an F1 individual is heterozygous for two independently assorting genes and is selfed (or mated inter se with a like F1), what phenotypic ratio is expected in the F2?
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A1:1:1:1
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B1:2:2:1
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C9:3:3:1
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D3:1:1:3
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E7:1:1:7
Answer
Correct Answer: 9:3:3:1
Explanation
Introduction / Context:The hallmark ratio for a Mendelian dihybrid cross under independent assortment is 9:3:3:1 in the F2 generation. This assumes complete dominance at each locus, no epistasis, and random segregation.
Given Data / Assumptions:
- One F1 is heterozygous at both loci (AaBb).
- Cross is an F1 self (AaBb × AaBb) or inter se with another AaBb.
- Genes assort independently; dominance is complete at each locus.
Concept / Approach:Each locus segregates 3:1 for the dominant phenotype. The joint probability across two independent loci yields the product distribution: 9 double-dominant phenotypes, 3 dominant at A only, 3 dominant at B only, and 1 double-recessive phenotype.
Step-by-Step Solution:
Compute A locus: 3 dominant : 1 recessive.Compute B locus: 3 dominant : 1 recessive.Combine: (33)=9 both dominant; (31)=3 A dominant only; (13)=3 B dominant only; (11)=1 both recessive → 9:3:3:1.Verification / Alternative check:Punnett square or probability tree confirms the same ratio. A testcross (AaBb × aabb) would instead yield 1:1:1:1, highlighting the importance of the specified mating.
Why Other Options Are Wrong:
- 1:1:1:1: testcross outcome, not F1 self.
- Other ratios do not follow independent assortment with complete dominance.
Common Pitfalls:Confusing F1 self with testcross; always check the mating design.
Final Answer:9:3:3:1