Question: Context: Conditional Probability Question: You travel from New York to Singapore, with connecting flights in Chicago and Japan. You have one checked in luggage that

Context: Conditional Probability

Question: You travel from New York to Singapore, with connecting flights in Chicago and Japan. You have one checked in luggage that is transferred from one airplane to another. In New York, there is a 5% chance that your luggage is not placed in the right airplane. The probability is 3% in Chicago and 2% in Japan. What is the probability that your luggage does not reach Singapore with you? Given it does not reach Singapore, what is the probability that it was lost in Chicago?

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