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Probability: Doomsday Airlines

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September 10th, 2022

Doomsday Airlines (“Come Take the Flight of Your Life”) has two dilapitated airplanes, one with two engines, and the other with four. Each plane will land safely only if at least half of its engines are working. Each engine on each aircraft operates independently and each has probability p = 0.4 of failing. Assuming you wish to maximize your survival probability, which plane should you fly on?

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