The annual Atlantic Coast Conference men's basketball tournament has temporarily taken Joe's mind off of the Cleveland Indians. He says to himself, "I think that Notre Dame has probability 0.05 of winning. North Carolina's probability is twice Notre Dame's, and Duke's probability is four times Notre Dame's." (a) What is Joe's personal probability for North Carolina? (Enter your answer as a proportion rounded to one decimal place.) P (North Carolina wins) = What is Joe's personal probability for Duke? (Enter your answer as a proportion rounded to one decimal place.) P (Duke wins) = (b) What is Joe's personal probability that 1 of the 12 teams other than Notre Dame, North Carolina, and Duke will win the tournament? (Enter your answer as a proportion rounded to two decimal places.) P=
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