Final answer:
For detecting a chromosome translocation, karyotyping is the best method because it allows for the observation of chromosomal abnormalities, including translocations, under a microscope.
Step-by-step explanation:
The best choice for detecting a chromosome translocation is a technique that allows the visualization of an individual's chromosomes, such as karyotyping. Karyotyping involves collecting cells, stimulating them to divide, arresting them in metaphase with colchicine, and then applying a hypotonic solution to spread the chromosomes apart. The sample is preserved and applied to a slide, where geneticists can examine the sample under a microscope to identify chromosomal abnormalities, including translocations, where segments of genetic material break from one chromosome and reattach to another or to a different part of the same chromosome. Such translocations may play a role in various cancers, including chronic myelogenous leukemia.