Final answer:
The expected phenotypic ratio of the F₂ offspring's kernel progeny is 1 red: 2 pink: 1 white. The red allele is dominant over the white allele, but the heterozygous genotype results in a blend of the two phenotypes, producing pink kernels.
Step-by-step explanation:
The expected phenotypic ratio of the kernel progeny of the F₂ offspring can be determined by using a Punnett square.
In the F₁ generation, the true breeding red plant (RR) is crossed with the true breeding white plant (rr), resulting in all heterozygous red offspring (Rr). When the F₁ offspring self-fertilize in the F₂ generation, the expected phenotypic ratio is 1 red: 2 pink: 1 white.
This is because the red allele is dominant over the white allele, but the heterozygous genotype results in a blend of the two phenotypes, producing pink kernels.