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Twenty percent of all the flights between two cities: City A and City B take place...

Twenty percent of all the flights between two cities: City A and City B take place through an airline called Airline A. The records have shown that Airline A misplaces the luggage for 10% of its customers, but in 90% of these cases, the lost luggage is found.

Using this information, if we randomly select a customer who flew from City A to City B, what is the probability that the customer flew on Airline A, had their luggage misplaced, and had their luggage found?

Express your answer as a decimal value rounded to 3 decimal places.

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