Which amendment establishes the process for presidential succession?

The Twenty-Fifth Amendment is the correct choice because it specifically outlines the procedures for presidential succession and the situations that might necessitate the transfer of power. Ratified in 1967, it addresses what should happen in the event of the president's death, resignation, removal from office, or incapacitation.

One of its crucial components establishes that if a president is unable to perform their duties, the vice president assumes the presidency. This amendment also details the process for filling a vacancy in the office of the vice president, ensuring that there is always a clear line of succession and that the executive branch can maintain continuity of leadership. This legal framework is vital for the stability of government and provides clarity during times of uncertainty regarding presidential capabilities.

The other amendments mentioned do not concern presidential succession. For instance, the Twentieth Amendment primarily focuses on the terms of office for the president and Congress; the Seventeenth Amendment relates to the direct election of senators; and the First Amendment addresses fundamental rights such as freedom of speech and religion. Therefore, the Twenty-Fifth Amendment is unique in its explicit focus on presidential succession.