Final answer:
In the cross Aabb X aaBb, based on the given information, you would expect a 1:1:1:1 phenotypic ratio of red, white, pink, and purple flowers.
Step-by-step explanation:
In the given cross, Aabb X aaBb, the A and B alleles are responsible for producing red pigment in flowers. A dominant allele at the A locus produces a functional enzyme that produces a red pigment, while the recessive gene product is not functional. The same relationship exists for alleles at the B locus.
When you cross Aabb with aaBb, the possible genotypes for the offspring will be AaBb, Aabb, aaBb, and aabb. Based on the given information, the phenotypic ratio you would expect in the progeny would be a 1:1:1:1 ratio, meaning that there would be an equal number of red flowers (AaBb), white flowers (aabb), pink flowers (Aabb and aaBb), and purple flowers (AaBb).