One aspect of this disclosure is directed to a method for treating a cancer in a subject in need thereof by administering to the subject at least a first compound and a second compound in any order together or separately. The first compound is an effective amount of a checkpoint inhibitor optionally With at least one pharmaceutically acceptable carrier. The second compound is an effective amount of an Therapeutic Double Stranded RNA (tdsRNA) optionally With at least one pharmaceutically acceptable carrier. The compounds can be administered together or separately. Compositions for the practice of the method are also described.