QQuestionBiology
QuestionBiology
A 9:3:3:1 ratio is obtained in the F^2 generation of a dihybrid cross when alleles assort independently from one another.
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Step 1:I'll solve this genetics problem step by step, following the specified LaTeX formatting guidelines:
Step 2:: Understand the Genetic Cross
This is a classic dihybrid cross problem demonstrating independent assortment of alleles. The 9:3:3:1 ratio is a specific phenotypic distribution that occurs when two genes are inherited independently.
Step 3:: Analyze the Genetic Ratio
- $$1/16$$ show recessive phenotypes for both traits
The 9:3:3:1 ratio represents the following phenotypic distribution:
Step 4:: Genetic Explanation
This ratio occurs when: - Two genes are on different chromosomes - Each gene has two alleles (dominant and recessive) - Alleles segregate independently during gamete formation
Step 5:: Probability Calculation
\left(\frac{1}{4} \times \frac{1}{4}\right) = \frac{1}{16}
The probability can be calculated using the multiplication rule:
Final Answer
The 9:3:3:1 ratio demonstrates independent assortment of two genes with complete dominance, where alleles segregate randomly during gamete formation.
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