what is the probability that George will be elected?

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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In an upcoming congressional election, two democrats, Al and Bill, seek the nomination to run against the incumbent republican, George. It is estimated that George has a probability ½ of beating Al in the election if Al is the democratic nominee but only a ⅓ probability of beating Bill. Given that Al has a ⅔ probability of being the democratic nominee, what is the probability that George will be elected?

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