A method of determining the winners of, for example, a game of skill in conjunction with a football or baseball game without the input of all the scores is provided. By the use of statistical sampling a small fraction of the remote players upload their scores to a central station via a telephone line, for example. Then, when the tentative winners are determined from this small statistical sample, the mass communications link of the system downloads the statistical curve to all of the players and only those players who are equal or better than the winning score telephone. Thus, time and money are saved for the telephone up-link. Furthermore, overcrowding of the telephone system is avoided by a proper delay given the individual remote sources.