Proceeding clockwise around the circle, the dice with the 6's and 2's on it, called the 6-2, will beat the 5-1, the next in the circle, which in turn beats 4-0, which beats 3-3... WHICH IN TURN BEATS 6-2! Your advantage is that you will win 24 times out of 36 - that is 2 times out of 3, or a 66% advantage. So whichever dice your opponent selects - and asking someone to choose first is part of the strategy - you take the next dice backwards in the circle.
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