Question: 28. Labeling Dice to Get a Uniform Distribution Assume that you have two blank dice, so that you can label the 12 faces with any

28. Labeling Dice to Get a Uniform Distribution Assume that you have two blank dice, so that you can label the 12 faces with any numbers. Describe how the dice can be labeled so that, when the two dice are rolled, the totals of the two dice are uniformly distributed so that the outcomes of 1, 2, 3, . . . , 12 each have probability 1 12. (See

“Can One Load a Set of Dice So That the Sum Is Uniformly Distributed?” by Chen, Rao, and Shreve, Mathematics Magazine, Vol. 70, No. 3.)

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