01 January 2008

Non-transitive dice


An amusing new game to trick and baffle your friends, based on a recent discovery made at Stanford University, USA. These so-called 'Non Transitive Dice' (Magic Dice) demonstrate a probability that violates common sense and traps the unwary.

GAME 1
Ask your opponent to select any one of the four dice. You select another and both dice are thrown, at the same time, a predetermined number of times, to see who gets the highest number on each throw, and hence wins that throw. In a game of 'The Best of Ten Throws' you will almost always have more wins. Invite the player to choose another dice - perhaps your 'winner' - leaving you to select another for yourself and play again. Again you will win. Whichever die your opponent selects, your choice, in a longer run of ten or more throws, will always win.

The secret
Turn up the highest faces on each of the four dice and arrange them in a circle, as shown in the diagram.

more information at this website

originally posted this morning at J-Walk

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