Final answer:
Mendel's law of independent assortment indicates that an Aa Bb dihybrid would produce equal numbers of four gamete types: AB, Ab, aB, and ab, resulting in diverse combinations of traits in the offspring.
Step-by-step explanation:
According to Mendel's law of independent assortment, an Aa Bb dihybrid would produce four types of gametes in equal numbers. These gametes would contain combinations of the alleles that result from the independent segregation of each gene's alleles. Thus, the four gamete types produced by an Aa Bb dihybrid organism are AB, Ab, aB, and ab. Each gamete carries one allele for the first gene (A or a) and one allele for the second gene (B or b). This fundamental principle of genetics explains how the inheritance of one trait does not affect the inheritance of another, resulting in the diverse combinations of traits observed in the offspring.