Proportion of progenies with round seed and red flowered pea plants if cross is made between WwRr and ww Rr would by -

Options

A. `3//8`
B. `1//8`
C. `4//8`
D. `2//8`

Answer

To solve the problem of determining the proportion of progenies with round seeds and red flowers when crossing WwRr (heterozygous for both traits) and wwRr (homozygous recessive for seed shape and heterozygous for flower color), we can follow these steps:

### Step-by-Step Solution:

1. **Identify the Traits:**
- Round seeds (R) are dominant over wrinkled seeds (r).
- Red flowers (R) are dominant over white flowers (r).

2. **Determine the Genotypes of the Parents:**
- Parent 1: WwRr (heterozygous for seed shape and flower color)
- Parent 2: wwRr (homozygous recessive for seed shape and heterozygous for flower color)

3. **Determine the Gametes:**
- Parent 1 (WwRr) can produce four types of gametes: WR, Wr, wR, wr.
- Parent 2 (wwRr) can produce two types of gametes: wR, wr.

4. **Set Up a Punnett Square:**
- Create a Punnett square to combine the gametes from both parents.
- The rows will represent the gametes from Parent 1 (WwRr), and the columns will represent the gametes from Parent 2 (wwRr).

| | wR | wr |
|-------|------|------|
| WR | WwRR | WwRr |
| Wr | WwrR | WwrR |
| wR | wwRR | wwRr |
| wr | wwRr | wwrR |

5. **Determine the Genotypes of the Offspring:**
- From the Punnett square, we can identify the genotypes of the offspring:
- WwRR (Round, Red)
- WwRr (Round, Red)
- WwrR (Round, Red)
- wwRR (Wrinkled, Red)
- wwRr (Wrinkled, Red)
- wwrR (Wrinkled, White)

6. **Count the Progeny Types:**
- Total offspring = 8 (from the combinations).
- Round seeds (R) can be either WwRR or WwRr or WwrR (3 combinations).
- Red flowers (R) must be present, which is true for all the Round combinations.

7. **Calculate the Proportion:**
- The number of offspring with round seeds and red flowers = 3.
- Total number of offspring = 8.
- Proportion of progenies with round seeds and red flowers = 3/8.

8. **Final Answer:**
- The proportion of progenies with round seeds and red flowers is **3/8**.