Two dice with numbers on each face
Source: Baltic Way 1993
June 15, 2012
probabilityfunctionalgebrapolynomialcombinatorics unsolvedcombinatorics
Problem Statement
On each face of two dice some positive integer is written. The two dice are thrown and the numbers on the top face are added. Determine whether one can select the integers on the faces so that the possible sums are , all equally likely?