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In this paper we introduce a new prediction method for multimedia content preference. Unlike typical methods, our method considers the trend of a TV viewer's preference change for estimating the statistical future preference using the moving average technique (MAT). With developing the statistical expression of the MAT based on a Bayesian network, experiments were implemented for predicting the TV genre preference using 2,400 TV viewers' watching history and showed that the performance of our method is better than that of the typical method if the window size in the MAT is large enough to reflect a user's preference changes.