I've given the question to people who know nothing of sports. The relevant sports facts take very little time to explain, and I've found that familiarity with the sport does not generally provide an advantage. (Excepting the interviewee whose first response was that his master's thesis had been on this exact problem. However he proved good enough as an interviewee and an employee that I think he would have done well regardless.)

The relevant facts are that there are teams. There are players on the teams for a period of time. Teams meet on particular dates and play games. In each game, a specific set of players are present. Each player does things that are tracked (comes up to bat, hits home runs, etc).

This is enough domain information to solve the interview question.