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