You travel by train from London to Glasgow. You change trains at Manchester. The train from London to Manchester is running with probability 0.78 and the train from Manchester to Glasgow is running with probability 0.71. The railway operator ensures that at least one of the trains is running with certainty. What is the probability that you reach Glasgow by train?

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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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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You travel by train from London to Glasgow. You change trains at Manchester. The train from London to Manchester is running with probability 0.78 and the train from Manchester to Glasgow is running with probability 0.71. The railway operator ensures that at least one of the trains is running with certainty. What is the probability that you reach Glasgow by train?
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