Final answer:
The parental generation most likely had heterozygous genotypes (TtRr) for both the tall-smooth and short-wrinkled traits. This is indicated by the F1 generation having a 9:3:3:1 phenotypic ratio which corresponds to the traits observed (tall-smooth and short-wrinkled).
Step-by-step explanation:
Understanding Pea Plant Genetics
Considering that the student observed 612 tall and smooth pea plants and 188 short and wrinkled pea plants in the F1 generation, we can infer that both tall (T) and smooth (R) traits are dominant. Since the short and wrinkled trait numbers (188) are roughly a quarter of the total, we can deduce that the parental generation most likely had heterozygous genotypes for both traits (TtRr).
Therefore, each parent contributed a recessive allele (t and r) to produce the short, wrinkled phenotype, following Mendelian principles of inheritance. The dominant traits' genotypic ratio typically occurs in a 9:3:3:1 pattern in dihybrid crosses.
In this case, the observation of such distinct dominant and recessive phenotypes aligns with the expected Mendelian dihybrid ratio, indicating that each parent was heterozygous for both traits (TtRr x TtRr).