Explanation:

- The Governor of a State in India is appointed by the President of India. However, this appointment is not made solely at the President's discretion.

- The Governor is appointed on the advice of the Union Council of Ministers, which is led by the Prime Minister. This means the Prime Minister plays a significant role in this decision.

- The Vice-President of India does not have a role in advising or appointing Governors of States.

- The Chief Minister of a State might be consulted informally, but the appointment is not made on their advice.

- The Chief Justice does not have a role in the appointment of the Governor.