Three strains of green-seeded lentil plants appear to have the same phenotype. The strains are designated G₁, G₂, and G₃. Each green-seeded strain is crossed to a pure-breeding yellow-seeded strain designated Y. The F₁ of each cross are yellow; however, self-fertilization of F₁ plants produces F₂ with different proportions of yellow- and green-seeded plants as shown below.

What proportion of the F₂ are expected to be green? Show your work. 

Verified step by step guidance

1. Identify the genotypes of the parental strains (G₁, G₂, G₃) and the pure-breeding yellow strain (Y). Assume yellow is dominant over green.
2. For each cross, determine the genotype of the F₁ generation. Since all F₁ are yellow, they must be heterozygous if yellow is dominant.
3. Use the F₁ genotype to set up a Punnett square for the F₂ generation. This will help determine the expected phenotypic ratios.
4. Analyze the F₂ phenotypic ratios given in the table: G₁ (1/4 green), G₂ (7/16 green), G₃ (37/64 green). These ratios suggest different genetic interactions or multiple genes involved.
5. Compare the expected ratios from the Punnett square with the observed F₂ ratios to understand the genetic basis of the green phenotype in each strain.