Peter Doyle has invented an interesting game that he call Yin and Yang. This game can be easily played by the class and illustrates some limitations of the theory of card shuffling that has been in the news a great deal under the topic "seven shuffles suffices". Two attempts to explain the theory of shuffling developed by Reeds, Bayer, and Diaconis are given written by Brad Mann and Charles Grinstead.

There is a True BASIC written by John Finn and a Mathematica programs written by Charles Grinstead to simulate the game of Yin and Yang to compare your class results. (See computer resources)