Question

A plane owned by Fiji Link ATR72 has three engines—a central engine and an engine on each

wing. The plane will crash because it were within the occasion that the central engine fails and
one of the two wing engines fails. The probability of disillusionment in the midst of any given
flight is 0.004 for the central engine and 0.007 for each of the wing engines. Anticipating that
the three engines work independently, what is the probability that the plane will crash in the
midst of a flight?

Answer 1

P(centre engine and left fail) = 0.004 x 0.007 = 0.000028
P(centre engine and right fail) = 0.004 x 0.007 = 0.000028
P(all three engines fail) = 0.004 x 0.007 x 0.007 = 0.000000196

P(plane will crash) = 0.000028 x 2 + 0.000000196 = 0.000056196