Final answer:
The results of the cross suggest a two-step genetic process for flower color inheritance involving epistasis, where the expression of one gene masks the expression of another gene, leading to a deviation from the classic 9:3:3:1 dihybrid cross ratio.
Step-by-step explanation:
The student's question regards the inheritance patterns of flower color in plants, which is a classic topic in Mendelian genetics. In the cross between a pure-breeding red-flowered plant and a pure-breeding white-flowered plant, all the F1 offspring had white flowers, indicating that white is the dominant phenotype. When these F1 plants were crossed with each other to produce F2 offspring, the results showed a non-standard ratio of white to purple and red flowers. This suggests a two-step genetic process where the purple pigment is synthesized from a red precursor, and the presence of white flowers indicates the absence of all pigment. Given the numbers from the F2 generation (123 white, 32 purple, and 11 red), this does not exactly follow the expected 9:3:3:1 dihybrid ratio but indicates a form of interaction between two different genes, possibly a form of epistasis, where one gene can mask the expression of another gene.