MathDB
Club Truncator

Source:

December 28, 2006
probabilityAMCAIMEgeometry3D geometryalgebrapolynomial

Problem Statement

Club Truncator is in a soccer league with six other teams, each of which it plays once. In any of its 6 matches, the probabilities that Club Truncator will win, lose, or tie are each 13\frac{1}{3}. The probability that Club Truncator will finish the season with more wins than losses is mn\frac{m}{n}, where mm and nn are relatively prime positive integers. Find m+nm+n.