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An airline overbooks a flight, selling more tickets for the flight than there are seats on...

An airline overbooks a flight, selling more tickets for the flight than there are seats on the plane (figuring that it’s likely that some people won’t show up). The plane has 50 seats, and 60 people have booked the flight. Each person will show up for the flight with probability 0.95, independently. Find the probability that there will be enough seats for everyone who shows up for the flight.

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