Problem: Winning the ACC tournament. The annual Atlantic Coast Conference men's basketball tournament has temporarily taken Joe's mind off the Chicago Cubs. He says to himself, "I think that Maryland has probability 0.1 of winning. Duke's probability is twice Maryland's, and North Carolina's probability is three times Maryland's."
Required:
(i) What are Joe's personal probabilities for Duke and North Carolina?
(ii) What is Joe's personal probability that one of the 9 teams other than Maryland, Duke, and North Carolina will win the tournament?