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 40% chance if they sponsor a baseball game, and a 60% chance if they sponsor a professional football game. The probabilities of the company sponsoring these various games are 0.5, 0.2, and 0.3, respectively. Suppose the company does get a high rating, find the probability that it sponsored a professional football game. The probability is: (Type an integer or a simplified fraction.)

A First Course in Probability (10th Edition)
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ISBN:9780134753119
Author:Sheldon Ross
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Chapter1: Combinatorial Analysis
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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 40% chance if they sponsor a baseball game, and a 60% chance if they
sponsor a professional football game. The probabilities of the company sponsoring these various games are 0.5, 0.2, and 0.3, respectively. Suppose the company does
get a high rating, find the probability that it sponsored a professional football game.
The probability is:
(Type an integer or a simplified fraction.)
Transcribed Image Text: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 40% chance if they sponsor a baseball game, and a 60% chance if they sponsor a professional football game. The probabilities of the company sponsoring these various games are 0.5, 0.2, and 0.3, respectively. Suppose the company does get a high rating, find the probability that it sponsored a professional football game. The probability is: (Type an integer or a simplified fraction.)
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