2 octahedra with sides 1-16 such each side has same probability with sum
Source: 15th -a QEDMO problem 12 (19. - 22. 10. 2017) https://artofproblemsolving.com/community/c1512515_qedmo_2005
May 30, 2021
probabilitycombinatorics
Problem Statement
Jorn wants to cheat at the role play: he intends to cheat the sides to re-label its two octahedra, so that each of the numbers from to has the same probability as the sum of the dice occurs. So that the game master does not notice this so easily, he only wants to use numbers from to , if necessary several times or not at all. Is this possible?