Invisible Dice | BRAINSTELLAR


I bought two fair six-sided dice. Keeping the first one untouched, I modified the second die, by erasing each face and writing a number of my own. Now, the sum of outcomes of the two dice is equally likely an integer between 1 and 12. Can you deduce the numbers written on the modified die?

Note: For each dice, each face is equally likely to turn up after a toss.