Quick probability question regarding not-so-obvious answer Consider an experiment that consists of determining the type of job, either blue- collar or white-collar, and the political affiliation, Republican, Democrati...--prophetes.ai

Quick probability question regarding not-so-obvious answer Consider an experiment that consists of determining the type of job, either blue- collar or white-collar, and the political affiliation, Republican, Democratic, or Independent, of the 15 members of an adult soccer team. How many outcomes are • (a) in the sample space? The answer is not $2315$ although I thought it was. How do I solve for this?

Each person has $2*3=6$ possible cases. You have to multiply them all together, getting $6^{15}$