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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 ummm... | Comment 3 of 6 |
One possibility:

1 2 2 3 3 4
1 3 4 5 6 8



    1   3   4   5   6   8
|
1 | 2 4 5 6 7 9
|
2 | 3 5 6 7 8 10
|
2 | 3 5 6 7 8 10
|
3 | 4 6 7 8 9 11
|
3 | 4 6 7 8 9 11
|
4 | 5 7 8 9 10 12


  Posted by Thalamus on 2004-07-20 12:06:25
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