What is risk analysis primarily concerned with?

Risk analysis is primarily concerned with the study of payoffs and probabilities. This approach focuses on understanding the potential returns and losses associated with various decisions, taking into account the likelihood of different outcomes. By analyzing these dimensions, decision-makers can better assess risks and make informed choices that align with their objectives.

In risk analysis, evaluating payoffs involves assessing the potential benefits or returns that may result from a decision, while considering probabilities helps quantify the chances of those outcomes occurring. This combination allows for a comprehensive understanding of the uncertainties involved in any decision-making scenario.

The other options, while related to decision-making and performance assessment, do not capture the essence of risk analysis as thoroughly. For example, studying previous decisions or past performances may provide insight but doesn't directly address the uncertainties and potential outcomes that risk analysis emphasizes. Similarly, examining payoffs and regrets focuses on the emotional response to decisions rather than the analytical framework of assessing risks associated with various choices.