Answered: what is the probability that George…

Math

Probability

what is the probability that George will be elected?

A First Course in Probability (10th Edition)

10th Edition

ISBN:9780134753119

Author:Sheldon Ross

Publisher:Sheldon Ross

Chapter1: Combinatorial Analysis

Section: Chapter Questions

Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...

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Question

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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