Question: Predicting the winner. There are 11 teams in the Big Ten athletic conference. Here's one set of personal probabilities for next year's basketball champion: Michigan State has probability 0.3 of winning. Iowa, Michigan, Illinois, Northwestern, and Penn State have no chance. That leaves 5 teams. Ohio State and Purdue both have the same probability of winning. Minnesota, Indiana, and Wisconsin also all have the same probability, but that probability is one-half that of Ohio State and Purdue. What probability does each of the 11 teams have?