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 . The probability that Club Truncator will finish the season with more wins than losses is , where and are relatively prime positive integers. Find .