A certain airplane has two independent alternators to provide electrical power. The probability that a given alternator will fail on a 1-hour flight is .02. What is the probability that neither will fail?

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Answer 1 · 2017-04-18T20:51:43

The probability is #P(A)=0.9604#. See explanation.

The probability that the single alternator will NOT fail is:

#p=1-0.02=0.98#

To calculate the probability that neither of 2 alternators fails we have to square the probability for a single alternator:

#P(A)=p^2=0.98^2=0.9604#