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In F(2) progeny of dihybrid cross, the e...

In `F_(2)` progeny of dihybrid cross, the expected genotypic proportions of individuals homozygous for both dominant character is

A

`3//16`

B

`9//16`

C

`12//16`

D

`1//16`

Text Solution

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The correct Answer is:
To solve the question regarding the expected genotypic proportions of individuals homozygous for both dominant characters in the F2 progeny of a dihybrid cross, we can follow these steps: ### Step-by-Step Solution: 1. **Understand the Dihybrid Cross**: - A dihybrid cross involves two traits, each represented by two alleles. For example, let’s consider two traits: seed color (Yellow - Y, Green - y) and seed shape (Round - R, Wrinkled - r). - The parental generation (P) can be represented as YYRR (homozygous dominant for both traits) crossed with yyrr (homozygous recessive for both traits). 2. **Determine the F1 Generation**: - The F1 generation from this cross will all be heterozygous (YyRr) since they inherit one allele from each parent. 3. **Perform the F2 Generation Cross**: - The F2 generation is obtained by crossing two F1 individuals (YyRr x YyRr). - This can be represented in a Punnett square, which will show all possible combinations of alleles. 4. **Calculate the Genotypic Ratio**: - The genotypic ratio from the F2 generation of a dihybrid cross is typically 1:2:1 for homozygous dominant, 2:4:2 for heterozygous, and 1:2:1 for homozygous recessive. - For two traits, this results in a total of 16 combinations (4 for each trait). 5. **Identify Homozygous Dominant Combinations**: - The combinations that are homozygous for both dominant traits (YYRR) can be identified: - YYRR (1) - YYRr (2) - YyRR (2) - YyRr (4) - The only combination that is homozygous for both dominant traits is YYRR. 6. **Count the Total Combinations**: - Out of the total 16 combinations, only 1 is YYRR. 7. **Calculate the Proportion**: - The proportion of individuals that are homozygous for both dominant traits is 1 out of 16, which simplifies to 1/16. ### Final Answer: The expected genotypic proportion of individuals homozygous for both dominant characters in the F2 progeny of a dihybrid cross is **1/16**.
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