Double homozygous individuals in `F_(2)` generation of a dihybrid cross would be

Options

A. `1//16`
B. `2//16`
C. `6//16`
D. `9//16`

Answer

To solve the question regarding the double homozygous individuals in the F2 generation 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 with two alleles. For example, let's consider two traits:
- Trait 1: Seed shape (Round - R, Wrinkled - r)
- Trait 2: Seed color (Yellow - Y, Green - y)

2. **Determine the Parental Generation (P)**: The parental generation (P) would consist of individuals that are homozygous for both traits:
- One parent: RRYY (homozygous round and yellow)
- Other parent: rryy (homozygous wrinkled and green)

3. **F1 Generation**: When these two parents are crossed, all F1 offspring will be heterozygous for both traits (RrYy).
- F1: All offspring are RrYy (Round and Yellow).

4. **F2 Generation**: The F1 generation is then self-crossed (RrYy x RrYy). The resulting F2 generation can be analyzed using a Punnett square or by applying the principles of independent assortment.

5. **F2 Genotypic Ratio**: The F2 generation will have a total of 16 possible combinations of genotypes. The genotypic ratio for a dihybrid cross is typically:
- 1 RRYY : 2 RRYy : 2 RrYY : 4 RrYy : 1 rrYY : 2 rrYy : 1 Rryy : 1 rryy

6. **Identify Double Homozygous Individuals**: In the F2 generation, the double homozygous individuals are:
- Homozygous dominant: RRYY
- Homozygous recessive: rryy

7. **Count the Double Homozygous Individuals**: From the F2 generation, there are:
- 1 RRYY (homozygous dominant)
- 1 rryy (homozygous recessive)

Thus, there are a total of 2 double homozygous individuals.

8. **Calculate the Proportion**: Since there are 16 total offspring in the F2 generation, the proportion of double homozygous individuals is:
- \( \frac{2}{16} \)

9. **Simplify the Fraction**: Simplifying \( \frac{2}{16} \) gives:
- \( \frac{1}{8} \) or \( 2/16 \) is the correct answer.

### Final Answer:
The double homozygous individuals in the F2 generation of a dihybrid cross would be \( \frac{2}{16} \).

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