STAT 420 Instructor: Wen Zhou Dec 14th, 2017 3. (10pts) The website \"Football-S
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Question
STAT 420 Instructor: Wen Zhou Dec 14th, 2017 3. (10pts) The website "Football-Study" use their own model to study the footbal vents. As of Sunday, they reports that: 1) the chance that the football team the Denver Broncos will be the champion of their division is 53%; 2) the probability that the Denver Broncos wins in the Super Bowl (the football championship event) is 9%; 3) the probability that the champion from the division to which the Broncos belongs will also win in the Super Bowl is 17%. Assume that in order to win in the Super Bowl, the Bro division must first become the division champion. ncos or any other teams in their (a) Given that the Denver Broncos is the division champion, what is the chance that they (b) What is the probability that a team from the division to which the Broncos belongs will also win in the Super Bowl given that the Broncos is not the division champion? will win in the Super Bowl?Explanation / Answer
(a) probability that Denver Broncos wins in the Super bowl = probability that Denver Broncos are the division champion x probability they win in the Super bowl.
If the required probability is p, then
p x 0.53 = 0.09
So p = 0.09/0.53 = 0.17
(b) probability that Denver Broncos doesn't win their division = 1-0.53 = 0.47
Probability that the other team wins in the Super bowl = probability that Denver Broncos doesn't win their division x probability that the other team wins in super bowl.
Required probability = 0.17/0.47 = 0.36
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