Question: A large jet aircraft has two wheels per landing gear for added safety. The tires are rated so that even with a hard landing the

A large jet aircraft has two wheels per landing gear for added safety. The tires are rated so that even with a "hard landing" the probability of any single tire blowing out is only 0.10.
(a) What is the probability that a landing gear (with two tires) will survive even a hard landing with at least one good tire?
(b) In order for the plane to land safely, all three landing gears (the nose and both wing landing gears) must have at least one good tire. What is the probability that the jet will be able to land safely even on a hard landing?

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