Did you know…
Why do airlines overbook flights?
Short answer
Airlines sell more tickets than seats because a portion of booked passengers don't show up, especially with flexible fares. Using statistical models by route and date, they calculate how many will be missing and oversell that margin to fill the plane; if they miscalculate, they compensate those denied boarding, as required in Europe by Regulation 261/2004.

The seats that stay empty
An empty seat on a departing flight is revenue lost forever. Airlines know from experience that, on every route, a percentage of passengers with a reservation don't board: they change plans, miss a connection, fall ill, or, in the case of business travelers with flexible tickets, simply take another flight. That percentage is fairly stable and predictable, on the order of 5% to 15% depending on the market, and airlines model it with years of historical data by route, day of the week, time and fare type.
How overbooking is calculated
Revenue management systems set an authorization level above the aircraft's actual capacity. If a 180-seat flight historically shows an 8% no-show rate, the airline can accept around 190 bookings. The calculation compares the cost of an empty seat with that of a denied passenger, which includes financial compensation, rebooking, accommodation and reputational damage. If the calculation is right, almost no one is left behind; when more travelers show up than expected, the airline first looks for volunteers in exchange for money or vouchers, and only denies boarding as a last resort.
What happens when it goes wrong
In the European Union, Regulation 261/2004 requires compensating passengers denied boarding against their will with 250, 400 or 600 euros depending on flight distance, in addition to offering alternative transport or a refund and assistance. In the United States, the Department of Transportation sets compensation proportional to the ticket price, with caps revised periodically. These rules turn overbooking into a quantifiable risk that airlines accept because, overall, it's cheaper than flying with empty seats.
More questions

Foto: 4300streetcar (CC BY 4.0) Commercial aviation
Which 747 carried Enterprise "piggyback"?
The first Shuttle Carrier Aircraft was a Boeing 747-123 registered N905NA, originally built for American Airlines and acquired by NASA in 1974. Boeing… more…

Commercial aviation
Was there an amphibious DC-3?
Yes: the Douglas XC-47C was created by fitting Edo Model 78 floats onto a standard C-47. The single-step metal floats carried retractable wheels that also… more…
_Berliner_Luftbr%C3%BCcke.jpg)
OTFW, Berlin (CC BY SA), vía commons Commercial aviation
Was a C-47 converted into a glider?
Yes: the Douglas XCG-17 was an assault glider created by converting a twin-engine C-47 Skytrain during World War II. Its engines were removed and the nacelles… more…

Commercial aviation
What did the USSR build from the DC-3?
The USSR built a version of the DC-3 under a licence granted to its government on 15 July 1936. It was designated PS-84 and, in 1942, renamed Lisunov Li-2… more…

Commercial aviation
What was "Puff, the Magic Dragon"?
It was the nickname of the Douglas AC-47 Spooky, the first in a series of fixed-wing gunships developed by the United States Air Force during the Vietnam War… more…

Commercial aviation
How did the RAF refer to the C-47?
The RAF called it Dakota: the Dakota I was the designation for 53 C-47s received under Lend-Lease. The Dakota III designated 962 C-47A Skytrains. The Dakota… more…