dolution

In a certain fourengine

vintage aircraft, now quite unreliable, each engine

has a 10% chance of failure on any flight, as long as it is

carrying its one-fourth share of the load. But if one engine

fails, then the chance of failure increases to 20% for each of

the other three engines. And if a second engine fails, each

of the remaining two has a 30% chance of failure.

Assuming that no two

engines ever fail simultaneously,

and that the aircraft

can continue flying with as

few as two operating engines,

find each probability for a

given flight of this aircraft.

(Give answers to four decimal

places.)

no engine failures

exactly one engine failure (any one of four engines)

exactly two engine failures (any two of four engines)

a failed flight