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Renumbered Dice (Posted on 2004-07-20) Difficulty: 3 of 5
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?

See The Solution Submitted by Brian Smith    
Rating: 3.1667 (6 votes)

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Solution add/subtract | Comment 1 of 6
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
  Posted by Ady TZIDON on 2004-07-20 08:46:28
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