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?

Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter12: Probability
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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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