The annual Atlantic Coast Conference men\'s basketball tournament has temporaril
ID: 3228127 • Letter: T
Question
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 Syracuse has probability 0.11 of winning. North Carolina's probability is twice Syracuse's, and Duke's probability is three times Syracuse's." (Enter your answers to two decimal place.)
(a) What is Joe's personal probability for North Carolina?
What is Joe's personal probability for Duke?
(b) What is Joe's personal probability that one of the 12 teams other than Syracuse, North Carolina, and Duke will win the tournament?
Explanation / Answer
a) Joe's personal probability for North Carolina = 2x0.11 = 0.22
Joe's personal probability for Duke = 3x0.11 = 0.33
b) Joe's personal probability that one of the 12 teams other than Syracuse, North Carolina, and Duke will win the tournament = 1 - Joe's personal probability that Syracuse or North Carolina or Duke will win the tournament
= 1 - 0.11 - 0.22 - 0.33
= 0.34
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