On a given weekend in the​ fall, a tire company can buy television and advertising time for a college football​ game, a baseball​ game, or a professional football game. If the company sponsors the college football​ game, there is a ​70% chance of a high​ rating, a ​50% chance if they sponsor a baseball​ game, and a 50​% chance if they sponsor a professional football game. The probabilities of the company sponsoring these various games are 0.4​, 0.1, and ​0.5, respectively. Suppose the company does get a high​ rating, find the probability that it sponsored a professional football game.

Holt Mcdougal Larson Pre-algebra: Student Edition 2012
1st Edition
ISBN:9780547587776
Author:HOLT MCDOUGAL
Publisher:HOLT MCDOUGAL
Chapter11: Data Analysis And Probability
Section11.8: Probabilities Of Disjoint And Overlapping Events
Problem 2C
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On a given weekend in the​ fall, a tire company can buy television and advertising time for a college football​ game, a baseball​ game, or a professional football game. If the company sponsors the college football​ game, there is a ​70% chance of a high​ rating, a ​50% chance if they sponsor a baseball​ game, and a 50​% chance if they sponsor a professional football game. The probabilities of the company sponsoring these various games are 0.4​, 0.1, and ​0.5, respectively. Suppose the company does get a high​ rating, find the probability that it sponsored a professional football game.

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