Final answer:
White-eyed female offspring in the crosses obtained their sex chromosomes through a process called nondisjunction.
Step-by-step explanation:
In his large-scale crosses between red-eyed males and white-eyed females, Bridges observed a small proportion (about 1 in 2000) of white-eyed female offspring which he determined to be XXY individuals. These individuals obtained their sex chromosomes through a process called nondisjunction, where an extra X chromosome is present due to an error in the separation of chromosomes during cell division.