Which of these theories involve taking a moderate amount of risk as a function of skill and not chance?

The theory that involves taking a moderate amount of risk as a function of skill and not chance is the "Need for Achievement" theory, option A. The Need for Achievement theory, proposed by psychologist David McClelland, suggests that individuals with a high need for achievement are motivated by the desire to excel, accomplish challenging goals, and take moderate risks to achieve success. These individuals are driven by a sense of personal accomplishment and actively seek tasks that offer them opportunities to demonstrate their skills and abilities.