You travel from Amsterdam to Sidney with a change of airplane in Dubai and Singapore. You have one piece of luggage is transferred from one airplane to the other. At the airport in Amsterdam, there is a probability of 5% that your luggage is not placed in the right plane. This probability is 3% at the airport in Dubai and 2% at the airport in Singapore. What is the probability that your luggage does not reach Sidney with you? If your luggage does not reach Sidney with you, what is the probability that it was lost at Dubai airport?

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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You travel from Amsterdam to Sidney with a change of airplane in Dubai and Singapore. You have one piece of luggage is transferred from one airplane to the other. At the airport in Amsterdam, there is a probability of 5% that your luggage is not placed in the right plane. This probability is 3% at the airport in Dubai and 2% at the airport in Singapore. What is the probability that your luggage does not reach Sidney with you? If your luggage does not reach Sidney with you, what is the probability that it was lost at Dubai airport?

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