SOLUTION: The controls of an airplane have several backup systems or redundancies so that if one fails the plane will continue to operate. Suppose that the mechanism that controls the flaps

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Question 1166424: The controls of an airplane have several backup systems or redundancies so that if one fails the plane will continue to operate. Suppose that the mechanism that controls the flaps has two backups. If the probability that the main control fails is .0001 and the probability that each backup will fail is .01, what is the probability that all three fail to operate?
Found 2 solutions by Boreal, ikleyn:
Answer by Boreal(15235) About Me  (Show Source):
You can put this solution on YOUR website!
Assuming independence (which is probably not true but will use here). It is 10^(-4)*10^-2*10^-2.
This is 10^-8 probability.
or 1 in 100,000,000

Answer by ikleyn(52781) About Me  (Show Source):
You can put this solution on YOUR website!
.

    0.0001*0.01*0.01.