Final answer:
The Black Panther Party was the most radical and violent choice for black Americans in the 1960s, promoting armed self-defense and Marxist ideology while facing opposition from the FBI.
Step-by-step explanation:
The African American group that represented the most radical and violent choice available to black Americans in the 1960s was the Black Panther Party. The Black Panthers were known for their advocacy of armed self-defense, community programs like free breakfasts and healthcare, and their alignment with Marxist ideology. They were heavily influenced by Malcolm X and his approach of "by-any-means-necessary" to combat inequality, which sharply contrasted with the nonviolent strategies of other civil rights activists. The Federal Bureau of Investigation (FBI), under J. Edgar Hoover, considered them a threat to national security and actively worked to dismantle the organization through the COINTELPRO program.