Most airlines intentionally oversell each of their flights with the expectation that a small percentage of their passengers will simply not show up. Assume a flight has 280 seats but the airline sells 340 tickets for that same flight. Further assume that each person shows up for the flight with probability 0.85, independently of all other pasengers. Compute the exact probability—i.e., no approximations—that there will be enough seats for all passengers who actually show up. Express your probability to three decimal places.

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