Question

What happens if the President and the Vice President are unable to serve out their terms? The leader of the Senate becomes President. A new President is elected. The Speaker of the House becomes President. A new President is appointed

Answer 1

"[I]n the absence of the Vice President, or when he shall exercise the Office of the President of the United States" the Senate would simply choose a president pro tempore. ... In 1947, after the vice presidency had been vacant for most of a presidential term, Congress again changed the line of succession

Answer 2

The Speaker of the House is next in line to become President after the Vice President.

Step-by-step explanation:

The line of succession follows the order of: vice president, speaker of the House of Representatives, president pro tempore of the Senate, and then the eligible heads of federal executive departments who form the president's Cabinet.