Two standard dice are renumbered so that each die is different, but together the pair still gives the same probabilities for rolling sums of 2 to 12 as a standard pair.
If each die is numbered with integers all greater than 0, then what are the numbers on the renumbered dice?
The alternate dice are numbered [1 2 2 3 3 4] and [1 3 4 5 6 8]