The process of determining the probable financial outcome of a decision, considering a range of possible scenarios and their associated probabilities, is a fundamental tool in decision analysis. As an illustration, consider a business venture where there is a 60% chance of a $100,000 profit and a 40% chance of a $50,000 loss. This calculation involves multiplying each potential outcome by its probability of occurrence and then summing the results.
Employing this method provides a rational framework for evaluating options, aiding in resource allocation, and mitigating risk. It facilitates comparison between different opportunities, allowing decision-makers to select the option that offers the most favorable anticipated financial return. Its application extends across diverse fields, from investment appraisal and insurance pricing to project management and strategic planning, supporting informed decisions based on quantitative analysis. The origins of this type of analysis can be traced back to early probability theory and its application to gambling and later, to more complex business and economic models.