Two six sided dice are marked with 12 different integers, so that any number from 1 to 36 can be derived when both dice are thrown and the showing face-up values are added.
What is the lowest possible value of the highest number on one of the dice faces?
(In reply to re(3): Possible solution CONCERNS EVERYBODY
Seems almost too good to be true
Correct. There are only 36 possibilities, so redundancy is not possible.
Edited on October 31, 2011, 2:24 pm