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MathNet 1993 — Part 01 Question 12

Math Olympiad Vault · MathNet 1993 — Part 01

Question 12

On each face of two dice some positive integer is written. The two dice are thrown and the numbers on the top faces are added. Determine whether one can select the integers on the faces so that the possible sums are $2,3,4,5,6,7,8,9,10,11,12,13$, all equally likely?