Turning a die upside down

Reference no: EM131834850

On a modern die the face value 6 is opposite to the face value 1, the face value 5 to the face value 2, and the face value 4 to the face value 3. In other words, by turning a die upside down, the face value k is changed into 7 - k. This fact may be used to explain why when rolling three dice the totals 9 and 12 (= 3 × 7 - 9) are equally likely. Old Etruscan dice show 1 and 2, 3 and 4, and 5 and 6 on opposite sides. Would the totals 9 and 12 remain equally likely when rolling three Etruscan dice?

Reference no: EM131834850

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