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?

a: 0 1 2 3 4 5

b: 2 3 4 5 6 7

rem: the only non-negative integer solution.

By adding a number N on one die and subtracting it on the other the sum remains constant.

But only N=1 does not cause negative numbers/

ady

*Edited on ***July 20, 2004, 8:57 am**