Answer:
BB, Bb, bb
Step-by-step explanation:
F1 refers to the first filial generation, and F2 refers to the second filial generation. The first generation consists of the offspring from the parents (in the given case, the two Bb purple plants). The second generation will consist of the plants produced by interbreeding the plants from the first generation.
In total, there are three purple plants in the first generation. Two of them have Bb genotype, and one has BB. This means that we should breed two Bb plants and one Bb with one BB plant to solve the question.
B b
B BB Bb
b Bb bb
B B
B BB BB
b Bb Bb
Based on this, we can conclude that genotypes we can get by breeding purple offspring from the first generation are BB, Bb, and bb.